QuantityWare - ASTM D1250-04_ASTM_D1250
Transcription
QuantityWare - ASTM D1250-04_ASTM_D1250
QuantityWare Working Paper Annex B - Comparison of ASTM D1250 standard implementations Detailed results for 90 % “real life” calculation grid 17.12.2010 Notes © Copyright 2010 QuantityWare GmbH. All rights reserved. SAP, R/3, mySAP, mySAP.com, xApps, xApp, SAP NetWeaver, and other SAP products and services mentioned herein as well as their respective logos are trademarks or registered trademarks of SAP AG in Germany and in several other countries all over the world. All other product and service names mentioned are the trademarks of their respective companies. Microsoft, Windows, SQL-Server, Powerpoint and Outlook are registered trademarks of Microsoft Corporation. These materials and the information therein are subject to change without notice. These materials are provided by the company QuantityWare GmbH for informational purposes only. There is no implied representation or warranty of any kind, and QuantityWare GmbH shall not be liable for errors or omissions with respect to the materials provided. The only warranties for the products and services of QuantityWare GmbH are those set forth in the express warranty statements accompanying such products and services, if any. No statement within this document should be construed as constituting an additional warranty. Comparison of ASTM D1250-04 and ASTM D1250-80 2 Contents QUANTITYWARE WORKING PAPER ..................................................................................... 1 ANNEX B - COMPARISON OF ASTM D1250 STANDARD IMPLEMENTATIONS .................... 1 Notes........................................................................................................................... 2 Contents ...................................................................................................................... 3 ASTM D1250-80 and ASTM D1250-04 - 90 % grid results ........................................... 5 Table 5A – crude oil, 60 °F base temperature – detailed results ....................... 5 Table 5B – products, 60 °F base temperature – detailed results ....................... 7 Table 5D – lubricants, 60 °F base temperature – detailed results ..................... 9 Table 23A – crude oil, 60 °F base temperature – detailed results ....................11 Table 23B – products, 60 °F base temperature – detailed results ....................13 Table 23D – lubricants, 60 °F base temperature – detailed results ..................15 Table 53A – crude oil, 15 °C base temperature – detailed results....................17 Table 53B – products, 15 °C base temperature – detailed results ...................20 Table 53D – lubricants, 15 °C base temperature – detailed results ..................23 Table 59A – crude oil, 20 °C base temperature – detailed results....................26 Table 59B – products, 20 °C base temperature – detailed results ...................29 Table 59D – lubricants, 20 °C base temperature – detailed results ..................32 Table 6A – crude oil, 60 °F base temperature – detailed results ......................35 Table 6B – products, 60 °F base temperature – detailed results ......................38 Table 6C – special applications, 60 °F base temperature – detailed results.....41 Table 6D – lubricants, 60 °F base temperature – detailed results ....................44 Table 24A – crude oil, 60 °F base temperature – detailed results ....................47 Table 24B – products, 60 °F base temperature – detailed results ....................50 Table 24C – special applications, 60 °F base temperature – detailed results ...53 Table 24D – lubricants, 60 °F base temperature – detailed results ..................56 Table 54A – crude oil, 15 °C base temperature – detailed results....................59 Table 54B – products, 15 °C base temperature – detailed results ...................64 Comparison of ASTM D1250-04 and ASTM D1250-80 3 Table 54D – lubricants, 15 °C base temperature – detailed results ..................69 Table 60A – crude oil, 20 °C base temperature – detailed results....................74 Table 60B – products, 20 °C base temperature – detailed results ...................79 Table 60D – lubricants, 20 °C base temperature – detailed results ..................84 Comparison of ASTM D1250-04 and ASTM D1250-80 4 ASTM D1250-80 and ASTM D1250-04 - 90 % grid results Table 5A – crude oil, 60 °F base temperature – detailed results Comparison grid: Observed temperature: 14 °F to 104 °F, increment 0,2 °F Observed density: -10 °API to 100 °API, increment 0,1 °API Quantity compared: Base API gravity @ 60 °F Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 5 All temperature values: NSC C 1 482.913 2 247.580 3 247.580 4 235.333 5 235.333 NDF 8.654 1.813 1.813 6.841 6.841 NDG 6.547 921 921 5.626 5.626 NDL 2.107 892 892 1.215 1.215 NDD1 8.654 1.813 1.813 6.841 6.841 NDG1 0 0 0 0 0 P 1,8% 0,7% 0,7% 2,9% 2,9% PG 75,7% 50,8% 50,8% 82,2% 82,2% PL 24,3% 49,2% 49,2% 17,8% 17,8% P1 1,8% 0,7% 0,7% 2,9% 2,9% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 3.927 713 713 3.214 3.214 NDL 430 178 178 252 252 NDD1 4.357 891 891 3.466 3.466 NDG1 0 0 0 0 0 PG 90,1% 80,0% 80,0% 92,7% 92,7% PL 9,9% 20,0% 20,0% 7,3% 7,3% P1 1,8% 0,7% 0,7% 2,9% 2,9% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 240.628 4.297 2.620 2 124.675 922 208 3 124.675 922 208 4 115.953 3.375 2.412 5 115.953 3.375 2.412 NDL 1.677 714 714 963 963 NDD1 4.297 922 922 3.375 3.375 NDG1 0 0 0 0 0 PL 39,0% 77,4% 77,4% 28,5% 28,5% P1 1,8% 0,7% 0,7% 2,9% 2,9% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 temperature values below base: C NSC NDF 1 242.285 4.357 2 122.905 891 3 122.905 891 4 119.380 3.466 5 119.380 3.466 C 1 2 3 4 5 C 1 2 3 4 5 P 1,8% 0,7% 0,7% 2,9% 2,9% P 1,8% 0,7% 0,7% 2,9% 2,9% PG 61,0% 22,6% 22,6% 71,5% 71,5% MAXD 0,1 0,1 0,1 0,1 0,1 TLCB 59,6 59,4 59,4 59,6 59,6 DTLCB 60,0 37,5 37,5 60,0 60,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,1 0,1 TLCB 59,6 59,4 59,4 59,6 59,6 DTLCB 60,0 37,5 37,5 60,0 60,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,1 0,1 TLCB 60,4 60,6 60,6 60,4 60,4 DTLCB 60,6 37,6 37,6 60,6 60,6 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 6 Table 5B – products, 60 °F base temperature – detailed results Comparison grid: Observed temperature: 14 °F to 104 °F, increment 0,2 °F Observed density: -10 °API to 100 °API, increment 0,1 °API Quantity compared: Base API gravity @ 60 °F Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 7 All temperature values: NSC C 1 482.569 2 382.363 3 382.363 4 100.206 5 100.206 NDF 8.742 3.492 3.492 5.250 5.250 NDG 6.658 1.782 1.782 4.876 4.876 NDL 2.084 1.710 1.710 374 374 NDD1 8.742 3.492 3.492 5.250 5.250 NDG1 0 0 0 0 0 P 1,8% 0,9% 0,9% 5,2% 5,2% PG 76,2% 51,0% 51,0% 92,9% 92,9% PL 23,8% 49,0% 49,0% 7,1% 7,1% P1 1,8% 0,9% 0,9% 5,2% 5,2% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 4.043 1.436 1.436 2.607 2.607 NDL 408 336 336 72 72 NDD1 4.451 1.772 1.772 2.679 2.679 NDG1 0 0 0 0 0 PG 90,8% 81,0% 81,0% 97,3% 97,3% PL 9,2% 19,0% 19,0% 2,7% 2,7% P1 1,8% 0,9% 0,9% 5,0% 5,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 240.290 4.291 2.615 2 193.691 1.720 346 3 193.691 1.720 346 4 46.599 2.571 2.269 5 46.599 2.571 2.269 NDL 1.676 1.374 1.374 302 302 NDD1 4.291 1.720 1.720 2.571 2.571 NDG1 0 0 0 0 0 PL 39,1% 79,9% 79,9% 11,7% 11,7% P1 1,8% 0,9% 0,9% 5,5% 5,5% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 temperature values below base: C NSC NDF 1 242.279 4.451 2 188.672 1.772 3 188.672 1.772 4 53.607 2.679 5 53.607 2.679 C 1 2 3 4 5 C 1 2 3 4 5 P 1,8% 0,9% 0,9% 5,0% 5,0% P 1,8% 0,9% 0,9% 5,5% 5,5% PG 60,9% 20,1% 20,1% 88,3% 88,3% MAXD 0,1 0,1 0,1 0,1 0,1 TLCB 59,6 59,6 59,6 59,2 59,2 DTLCB 54,7 54,7 54,7 88,6 88,6 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,1 0,1 TLCB 59,6 59,6 59,6 59,2 59,2 DTLCB 54,7 54,7 54,7 88,6 88,6 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,1 0,1 TLCB 60,4 60,4 60,4 60,8 60,8 DTLCB 55,3 55,3 55,3 88,9 88,9 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 8 Table 5D – lubricants, 60 °F base temperature – detailed results Comparison grid: Observed temperature: 14 °F to 104 °F, increment 0,2 °F Observed density: -10 °API to 45 °API, increment 0,1 °API Quantity compared: Base API gravity @ 60 °F Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 9 All temperature values: NSC NDF C 1 241.728 5.616 2 241.728 5.616 3 241.728 5.616 4 0 0 5 0 0 NDG 4.964 4.964 4.964 0 0 NDL 652 652 652 0 0 NDD1 5.616 5.616 5.616 0 0 NDG1 0 0 0 0 0 P 2,3% 2,3% 2,3% 0,0% 0,0% PG 88,4% 88,4% 88,4% 0,0% 0,0% PL 11,6% 11,6% 11,6% 0,0% 0,0% P1 2,3% 2,3% 2,3% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 2.663 2.663 2.663 0 0 NDL 165 165 165 0 0 NDD1 2.828 2.828 2.828 0 0 NDG1 0 0 0 0 0 PG 94,2% 94,2% 94,2% 0,0% 0,0% PL 5,8% 5,8% 5,8% 0,0% 0,0% P1 2,3% 2,3% 2,3% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 119.122 2.788 2.301 2 119.122 2.788 2.301 3 119.122 2.788 2.301 4 0 0 0 5 0 0 0 NDL 487 487 487 0 0 NDD1 2.788 2.788 2.788 0 0 NDG1 0 0 0 0 0 PL 17,5% 17,5% 17,5% 0,0% 0,0% P1 2,3% 2,3% 2,3% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 temperature values below base: C NSC NDF 1 122.606 2.828 2 122.606 2.828 3 122.606 2.828 4 0 0 5 0 0 C 1 2 3 4 5 C 1 2 3 4 5 P 2,3% 2,3% 2,3% 0,0% 0,0% P 2,3% 2,3% 2,3% 0,0% 0,0% PG 82,5% 82,5% 82,5% 0,0% 0,0% MAXD 0,1 0,1 0,1 0,0 0,0 TLCB 59,2 59,2 59,2 0,0 0,0 DTLCB 26,5 26,5 26,5 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,0 0,0 TLCB 59,2 59,2 59,2 0,0 0,0 DTLCB 26,5 26,5 26,5 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0 0 TLCB 60,8 60,8 60,8 0 0 DTLCB 26,9 26,9 26,9 0 0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 10 Table 23A – crude oil, 60 °F base temperature – detailed results Comparison grid: Observed temperature: 14 °F to 104 °F, increment 0,2 °F Observed density: 0,6112 relative density to 1,1646 relative density, increment 0,0001 relative density Quantity compared: Base relative density @ 60 °F Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 11 All temperature values: NSC NDF C 1 2.447.002 1.957.166 2 2.063.968 1.650.885 3 412.752 13.807 4 383.034 306.281 5 76.654 2.261 C 1 2 3 4 5 P 80,0% 80,0% 3,3% 80,0% 2,9% temperature values below base: C NSC NDF 1 1.243.484 997.145 2 1.056.534 847.458 3 211.309 7.256 4 186.950 149.687 5 37.436 1.089 C 1 2 3 4 5 P 80,2% 80,2% 3,4% 80,1% 2,9% NDG 979.502 826.427 6.551 153.075 1.173 NDL 977.664 824.458 7.256 153.206 1.088 NDD1 979.303 825.963 13.807 153.340 2.261 NDG1 977.863 824.922 0 152.941 0 PG 50,0% 50,1% 47,4% 50,0% 51,9% PL 50,0% 49,9% 52,6% 50,0% 48,1% P1 40,0% 40,0% 3,3% 40,0% 2,9% PX 40,0% 40,0% 0,0% 39,9% 0,0% NDG 493.468 419.334 964 74.134 229 NDL 503.677 428.124 6.292 75.553 860 NDD1 492.548 418.138 7.256 74.410 1.089 NDG1 504.597 429.320 0 75.277 0 PG 49,5% 49,5% 13,3% 49,5% 21,0% PL 50,5% 50,5% 86,7% 50,5% 79,0% P1 39,6% 39,6% 3,4% 39,8% 2,9% PX 40,6% 40,6% 0,0% 40,3% 0,0% NDL 473.987 396.334 964 77.653 228 NDD1 486.755 407.825 6.551 78.930 1.172 NDG1 473.266 395.602 0 77.664 0 PL 49,4% 49,3% 14,7% 49,6% 19,5% P1 40,4% 40,5% 3,3% 40,3% 3,0% PX 39,3% 39,3% 0,0% 39,6% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.203.518 960.021 486.034 2 1.007.434 803.427 407.093 3 201.443 6.551 5.587 4 196.084 156.594 78.941 5 39.218 1.172 944 C 1 2 3 4 5 P 79,8% 79,7% 3,3% 79,9% 3,0% PG 50,6% 50,7% 85,3% 50,4% 80,5% MAXD 0,0003 0,0003 0,0001 0,0003 0,0001 TLCB 59,6 59,6 59,6 59,2 59,2 DTLCB 0,8853 0,8853 0,8855 1,0773 1,0775 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0003 0,0003 0,0001 0,0003 0,0001 TLCB 59,6 59,6 59,6 59,2 59,2 DTLCB 0,8853 0,8853 0,8855 1,0773 1,0775 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0003 0,0003 0,0001 0,0003 0,0001 TLCB 60,4 60,4 60,4 60,8 60,8 DTLCB 0,8967 0,8967 0,8965 1,0787 1,0785 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 12 Table 23B – products, 60 °F base temperature – detailed results Comparison grid: Observed temperature: 14 °F to 104 °F, increment 0,2 °F Observed density: 0,6112 relative density to 1,1646 relative density, increment 0,0001 relative density Quantity compared: Base relative density @ 60 °F Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 13 All temperature values: NSC NDF C 1 2.443.773 1.954.062 2 1.901.135 1.519.923 3 380.227 12.545 4 542.638 434.139 5 108.527 3.467 C 1 2 3 4 5 P 80,0% 79,9% 3,3% 80,0% 3,2% temperature values below base: C NSC NDF 1 1.243.464 996.151 2 963.005 771.597 3 192.601 6.511 4 280.459 224.554 5 56.137 1.800 C 1 2 3 4 5 P 80,1% 80,1% 3,4% 80,1% 3,2% NDG 977.586 760.414 6.097 217.172 1.717 NDL 976.476 759.509 6.448 216.967 1.750 NDD1 978.034 761.073 12.545 216.961 3.467 NDG1 976.028 758.850 0 217.178 0 PG 50,0% 50,0% 48,6% 50,0% 49,5% PL 50,0% 50,0% 51,4% 50,0% 50,5% P1 40,0% 40,0% 3,3% 40,0% 3,2% PX 39,9% 39,9% 0,0% 40,0% 0,0% NDG 492.878 381.697 994 111.181 302 NDL 503.273 389.900 5.517 113.373 1.498 NDD1 493.777 382.028 6.511 111.749 1.800 NDG1 502.374 389.569 0 112.805 0 PG 49,5% 49,5% 15,3% 49,5% 16,8% PL 50,5% 50,5% 84,7% 50,5% 83,2% P1 39,7% 39,7% 3,4% 39,8% 3,2% PX 40,4% 40,5% 0,0% 40,2% 0,0% NDL 473.203 369.609 931 103.594 252 NDD1 484.257 379.045 6.034 105.212 1.667 NDG1 473.654 369.281 0 104.373 0 PL 49,4% 49,4% 15,4% 49,4% 15,1% P1 40,3% 40,4% 3,2% 40,1% 3,2% PX 39,5% 39,4% 0,0% 39,8% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.200.309 957.911 484.708 2 938.130 748.326 378.717 3 187.626 6.034 5.103 4 262.179 209.585 105.991 5 52.390 1.667 1.415 C 1 2 3 4 5 P 79,8% 79,8% 3,2% 79,9% 3,2% PG 50,6% 50,6% 84,6% 50,6% 84,9% MAXD 0,0003 0,0003 0,0001 0,0003 0,0001 TLCB 59,6 59,6 59,6 59,6 59,6 DTLCB 0,8858 0,8858 0,8860 1,0787 1,0785 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0003 0,0003 0,0001 0,0003 0,0001 TLCB 59,6 59,6 59,6 59,6 59,6 DTLCB 0,8858 0,8858 0,8860 1,0787 1,0785 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0003 0,0003 0,0001 0,0003 0,0001 TLCB 60,4 60,4 60,4 60,4 60,4 DTLCB 0,8967 0,8967 0,8965 1,0768 1,0770 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 14 Table 23D – lubricants, 60 °F base temperature – detailed results Comparison grid: Observed temperature: 14 °F to 104 °F, increment 0,2 °F Observed density: 0,8017 relative density to 1,1646 relative density, increment 0,0001 relative density Quantity compared: Base relative density @ 60 °F Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 15 All temperature values: NSC NDF C 1 1.598.058 1.278.437 2 1.596.732 1.277.379 3 319.347 9.209 4 1.326 1.058 5 267 6 C 1 2 3 4 5 P 80,0% 80,0% 2,9% 79,8% 2,2% temperature values below base: C NSC NDF 1 816.336 653.019 2 816.312 653.001 3 163.307 5.002 4 24 18 5 6 0 C 1 2 3 4 5 P 80,0% 80,0% 3,1% 75,0% 0,0% NDG 638.375 637.975 4.180 400 6 NDL 640.062 639.404 5.029 658 0 NDD1 639.244 638.708 9.209 536 6 NDG1 639.193 638.671 0 522 0 PG 49,9% 49,9% 45,4% 37,8% 100,0% PL 50,1% 50,1% 54,6% 62,2% 0,0% P1 40,0% 40,0% 2,9% 40,4% 2,2% PX 40,0% 40,0% 0,0% 39,4% 0,0% NDG 323.837 323.831 1.154 6 0 NDL 329.182 329.170 3.848 12 0 NDD1 326.635 326.623 5.002 12 0 NDG1 326.384 326.378 0 6 0 PG 49,6% 49,6% 23,1% 33,3% 0,0% PL 50,4% 50,4% 76,9% 66,7% 0,0% P1 40,0% 40,0% 3,1% 50,0% 0,0% PX 40,0% 40,0% 0,0% 25,0% 0,0% NDL 310.880 310.234 1.181 646 0 NDD1 312.609 312.085 4.207 524 6 NDG1 312.809 312.293 0 516 0 PL 49,7% 49,7% 28,1% 62,1% 0,0% P1 40,0% 40,0% 2,7% 40,2% 2,3% PX 40,0% 40,0% 0,0% 39,6% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 781.722 625.418 314.538 2 780.420 624.378 314.144 3 156.040 4.207 3.026 4 1.302 1.040 394 5 261 6 6 C 1 2 3 4 5 P 80,0% 80,0% 2,7% 79,9% 2,3% PG 50,3% 50,3% 71,9% 37,9% 100,0% MAXD 0,0003 0,0003 0,0001 0,0003 0,0001 TLCB 59,0 59,0 59,0 91,0 71,6 DTLCB 0,8057 0,8057 0,8055 1,1537 1,1605 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0003 0,0003 0,0001 0,0002 0,0000 TLCB 59,0 59,0 59,0 59,8 0,0 DTLCB 0,8057 0,8057 0,8055 1,1643 0,0000 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0003 0,0003 0,0001 0,0003 0,0001 TLCB 61,0 61,0 61,0 91,0 71,6 DTLCB 0,8 0,8 0,8 1,2 1,2 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 16 Table 53A – crude oil, 15 °C base temperature – detailed results Comparison grid: Observed temperature: -10 °C to 40 °C, increment 0,1 °C Observed density: 611,2 kg/m³ to 1.163,8 kg/m³, increment 0,1 kg/m³ Quantity compared: Base density / kg/m³ @ 15 °C Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 17 Results ASTM D1250-80 standard rounding: All temperature values: NSC NDF C 1 2.715.629 2.172.687 2 1.585.120 1.268.091 3 317.024 11.872 4 1.130.509 904.596 5 226.002 10.697 C 1 2 3 4 5 P 80,0% 80,0% 3,7% 80,0% 4,7% temperature values below base: C NSC NDF 1 1.350.484 1.083.347 2 785.105 629.568 3 157.021 5.720 4 565.379 453.779 5 113.026 5.283 C 1 2 3 4 5 P 80,2% 80,2% 3,6% 80,3% 4,7% NDG 1.089.776 635.966 6.154 453.810 5.414 NDL 1.082.911 632.125 5.718 450.786 5.283 NDD1 1.085.952 634.122 11.872 451.830 10.697 NDG1 1.086.735 633.969 0 452.766 0 PG 50,2% 50,2% 51,8% 50,2% 50,6% PL 49,8% 49,8% 48,2% 49,8% 49,4% P1 40,0% 40,0% 3,7% 40,0% 4,7% PX 40,0% 40,0% 0,0% 40,0% 0,0% NDG 532.158 309.813 4 222.345 1 NDL 551.189 319.755 5.716 231.434 5.282 NDD1 534.337 311.125 5.720 223.212 5.283 NDG1 549.010 318.443 0 230.567 0 PG 49,1% 49,2% 0,1% 49,0% 0,0% PL 50,9% 50,8% 99,9% 51,0% 100,0% P1 39,6% 39,6% 3,6% 39,5% 4,7% PX 40,7% 40,6% 0,0% 40,8% 0,0% NDL 531.722 312.370 2 219.352 1 NDD1 551.615 322.997 6.152 228.618 5.414 NDG1 537.725 315.526 0 222.199 0 PL 48,8% 48,9% 0,0% 48,7% 0,0% P1 40,4% 40,4% 3,8% 40,5% 4,8% PX 39,4% 39,4% 0,0% 39,3% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.365.145 1.089.340 557.618 2 800.015 638.523 326.153 3 160.003 6.152 6.150 4 565.130 450.817 231.465 5 112.976 5.414 5.413 C 1 2 3 4 5 P 79,8% 79,8% 3,8% 79,8% 4,8% PG 51,2% 51,1% 100,0% 51,3% 100,0% MAXD 0,3 0,3 0,1 0,3 0,1 TLCB 14,80 14,80 14,80 14,70 14,70 DTLCB 818,3 818,3 818,5 736,8 737,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,3 0,3 0,1 0,3 0,1 TLCB 14,80 14,80 14,80 14,70 14,70 DTLCB 818,3 818,3 818,5 736,8 737,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,3 0,3 0,1 0,3 0,1 TLCB 15,20 15,20 15,20 15,30 15,30 DTLCB 818,2 818,2 818,0 736,7 736,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 18 Results ASTM D1250-80 with “German rounding” (Input data): All temperature values: NSC NDF C 1 2.715.629 112.690 2 1.585.124 59.264 3 1.585.124 59.264 4 1.130.505 53.426 5 1.130.505 53.426 C 1 2 3 4 5 P 4,1% 3,7% 3,7% 4,7% 4,7% temperature values below base: C NSC NDF 1 1.350.484 54.886 2 785.105 28.601 3 785.105 28.601 4 565.379 26.285 5 565.379 26.285 C 1 2 3 4 5 P 4,1% 3,6% 3,6% 4,6% 4,6% NDG 57.799 30.663 30.663 27.136 27.136 NDL 54.891 28.601 28.601 26.290 26.290 NDD1 112.690 59.264 59.264 53.426 53.426 NDG1 0 0 0 0 0 PG 51,3% 51,7% 51,7% 50,8% 50,8% PL 48,7% 48,3% 48,3% 49,2% 49,2% P1 4,1% 3,7% 3,7% 4,7% 4,7% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 19 13 13 6 6 NDL 54.867 28.588 28.588 26.279 26.279 NDD1 54.886 28.601 28.601 26.285 26.285 NDG1 0 0 0 0 0 PG 0,0% 0,0% 0,0% 0,0% 0,0% PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 4,1% 3,6% 3,6% 4,6% 4,6% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 24 13 13 11 11 NDD1 57.804 30.663 30.663 27.141 27.141 NDG1 0 0 0 0 0 PL 0,0% 0,0% 0,0% 0,0% 0,0% P1 4,2% 3,8% 3,8% 4,8% 4,8% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.365.145 57.804 57.780 2 800.019 30.663 30.650 3 800.019 30.663 30.650 4 565.126 27.141 27.130 5 565.126 27.141 27.130 C 1 2 3 4 5 P 4,2% 3,8% 3,8% 4,8% 4,8% PG 100,0% 100,0% 100,0% 100,0% 100,0% MAXD 0,1 0,1 0,1 0,1 0,1 TLCB 14,80 14,80 14,80 14,70 14,70 DTLCB 818,2 818,2 818,2 736,8 736,8 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,1 0,1 TLCB 14,80 14,80 14,80 14,70 14,70 DTLCB 818,2 818,2 818,2 736,8 736,8 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,1 0,1 TLCB 15,20 15,20 15,20 15,30 15,30 DTLCB 818,0 818,0 818,0 736,4 736,4 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 19 Table 53B – products, 15 °C base temperature – detailed results Comparison grid: Observed temperature: -10 °C to 40 °C, increment 0,1 °C Observed density: 611,2 kg/m³ to 1.163,9 kg/m³, increment 0,1 kg/m³ Quantity compared: Base density / kg/m³ @ 15 °C Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 20 Results ASTM D1250-80 standard rounding: All temperature values: NSC NDF C 1 2.712.301 2.169.932 2 2.112.500 1.690.002 3 422.500 14.887 4 599.801 479.930 5 119.812 1.829 C 1 2 3 4 5 P 80,0% 80,0% 3,5% 80,0% 1,5% temperature values below base: C NSC NDF 1 1.350.717 1.082.775 2 1.056.250 846.887 3 211.250 6.942 4 294.467 235.888 5 58.794 619 C 1 2 3 4 5 P 80,2% 80,2% 3,3% 80,1% 1,1% NDG 1.088.600 847.910 7.983 240.690 1.222 NDL 1.081.332 842.092 6.904 239.240 607 NDD1 1.085.256 845.198 14.873 240.058 1.829 NDG1 1.084.676 844.804 14 239.872 0 PG 50,2% 50,2% 53,6% 50,2% 66,8% PL 49,8% 49,8% 46,4% 49,8% 33,2% P1 40,0% 40,0% 3,5% 40,0% 1,5% PX 40,0% 40,0% 0,0% 40,0% 0,0% NDG 534.874 417.513 49 117.361 18 NDL 547.901 429.374 6.893 118.527 601 NDD1 536.330 418.916 6.928 117.414 619 NDG1 546.445 427.971 14 118.474 0 PG 49,4% 49,3% 0,7% 49,8% 2,9% PL 50,6% 50,7% 99,3% 50,2% 97,1% P1 39,7% 39,7% 3,3% 39,9% 1,1% PX 40,5% 40,5% 0,0% 40,2% 0,0% NDL 533.431 412.718 11 120.713 6 NDD1 548.926 426.282 7.945 122.644 1.210 NDG1 538.231 416.833 0 121.398 0 PL 49,1% 49,0% 0,1% 49,5% 0,5% P1 40,3% 40,4% 3,8% 40,2% 2,0% PX 39,5% 39,5% 0,0% 39,8% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.361.584 1.087.157 553.726 2 1.056.250 843.115 430.397 3 211.250 7.945 7.934 4 305.334 244.042 123.329 5 61.018 1.210 1.204 C 1 2 3 4 5 P 79,8% 79,8% 3,8% 79,9% 2,0% PG 50,9% 51,0% 99,9% 50,5% 99,5% MAXD 0,4 0,4 0,2 0,3 0,1 TLCB -2,40 -2,40 -8,00 14,00 14,00 DTLCB 788,8 788,8 793,0 1.138,8 1.139,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,4 0,4 0,2 0,3 0,1 TLCB -2,40 -2,40 -8,00 14,00 14,00 DTLCB 788,8 788,8 793,0 1.138,8 1.139,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,3 0,3 0,1 0,3 0,1 TLCB 15,20 15,20 15,20 16,00 16,00 DTLCB 792,7 792,7 792,5 1139,7 1139,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 21 Results ASTM D1250-80 with “German rounding” (Input data): All temperature values: NSC NDF C 1 2.712.301 83.111 2 2.110.500 73.902 3 2.110.500 73.902 4 601.801 9.209 5 601.801 9.209 C 1 2 3 4 5 P 3,1% 3,5% 3,5% 1,5% 1,5% temperature values below base: C NSC NDF 1 1.350.717 37.807 2 1.055.250 34.667 3 1.055.250 34.667 4 295.467 3.140 5 295.467 3.140 C 1 2 3 4 5 P 2,8% 3,3% 3,3% 1,1% 1,1% NDG 45.547 39.420 39.420 6.127 6.127 NDL 37.564 34.482 34.482 3.082 3.082 NDD1 83.038 73.829 73.829 9.209 9.209 NDG1 73 73 73 0 0 PG 54,8% 53,3% 53,3% 66,5% 66,5% PL 45,2% 46,7% 46,7% 33,5% 33,5% P1 3,1% 3,5% 3,5% 1,5% 1,5% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 346 253 253 93 93 NDL 37.461 34.414 34.414 3.047 3.047 NDD1 37.734 34.594 34.594 3.140 3.140 NDG1 73 73 73 0 0 PG 0,9% 0,7% 0,7% 3,0% 3,0% PL 99,1% 99,3% 99,3% 97,0% 97,0% P1 2,8% 3,3% 3,3% 1,1% 1,1% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 103 68 68 35 35 NDD1 45.304 39.235 39.235 6.069 6.069 NDG1 0 0 0 0 0 PL 0,2% 0,2% 0,2% 0,6% 0,6% P1 3,3% 3,7% 3,7% 2,0% 2,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.361.584 45.304 45.201 2 1.055.250 39.235 39.167 3 1.055.250 39.235 39.167 4 306.334 6.069 6.034 5 306.334 6.069 6.034 C 1 2 3 4 5 P 3,3% 3,7% 3,7% 2,0% 2,0% PG 99,8% 99,8% 99,8% 99,4% 99,4% MAXD 0,2 0,2 0,2 0,1 0,1 TLCB -7,60 -7,60 -7,60 14,00 14,00 DTLCB 793,4 793,4 793,4 1,138,8 1,138,8 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,2 0,2 0,2 0,1 0,1 TLCB -7,60 -7,60 -7,60 14,00 14,00 DTLCB 793,4 793,4 793,4 1,138,8 1,138,8 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,1 0,1 TLCB 15,20 15,20 15,20 16,00 16,00 DTLCB 792,1 792,1 792,1 1,137,7 1,137,7 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 22 Table 53D – lubricants, 15 °C base temperature – detailed results Comparison grid: Observed temperature: -10 °C to 40 °C, increment 0,1 °C Observed density: 801,3 kg/m³ to 1.163,9 kg/m³, increment 0,1 kg/m³ Quantity compared: Base density / kg/m³ @ 15 °C Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 23 Results ASTM D1250-80 standard rounding: All temperature values: NSC NDF C 1 1.774.044 1.419.331 2 1.774.019 1.419.306 3 354.704 1.876 4 25 25 5 0 0 C 1 2 3 4 5 P 80,0% 80,0% 0,5% 100,0% 0,0% temperature values below base: C NSC NDF 1 887.141 709.813 2 887.141 709.813 3 177.323 750 4 0 0 5 0 0 C 1 2 3 4 5 P 80,0% 80,0% 0,4% 0,0% 0,0% NDG 710.169 710.169 1.312 0 0 NDL 709.162 709.137 564 25 0 NDD1 709.690 709.690 1.876 0 0 NDG1 709.641 709.616 0 25 0 PG 50,0% 50,0% 69,9% 0,0% 0,0% PL 50,0% 50,0% 30,1% 100,0% 0,0% P1 40,0% 40,0% 0,5% 0,0% 0,0% PX 40,0% 40,0% 0,0% 100,0% 0,0% NDG 354.519 354.519 229 0 0 NDL 355.294 355.294 521 0 0 NDD1 354.924 354.924 750 0 0 NDG1 354.889 354.889 0 0 0 PG 49,9% 49,9% 30,5% 0,0% 0,0% PL 50,1% 50,1% 69,5% 0,0% 0,0% P1 40,0% 40,0% 0,4% 0,0% 0,0% PX 40,0% 40,0% 0,0% 0,0% 0,0% NDL 353.868 353.843 43 25 0 NDD1 354.766 354.766 1.126 0 0 NDG1 354.752 354.727 0 25 0 PL 49,9% 49,9% 3,8% 100,0% 0,0% P1 40,0% 40,0% 0,6% 0,0% 0,0% PX 40,0% 40,0% 0,0% 100,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 886.903 709.518 355.650 2 886.878 709.493 355.650 3 177.381 1.126 1.083 4 25 25 0 5 0 0 0 C 1 2 3 4 5 P 80,0% 80,0% 0,6% 100,0% 0,0% PG 50,1% 50,1% 96,2% 0,0% 0,0% MAXD 0,3 0,3 0,1 0,2 0,0 TLCB 18,90 18,90 18,90 15,80 0,00 DTLCB 857,7 857,7 857,5 1.163,3 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,3 0,3 0,1 0,0 0,0 TLCB 9,50 9,50 9,50 0,00 0,00 DTLCB 1.026,2 1.026,2 1.026,0 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,3 0,3 0,1 0,2 0,0 TLCB 18,90 18,90 18,90 15,80 0,00 DTLCB 857,7 857,7 857,5 1163,3 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 24 Results ASTM D1250-80 with “German rounding” (Input data): All temperature values: NSC C 1 1.774.044 2 1.774.044 3 1.774.044 4 0 5 0 NDF 9.488 9.488 9.488 0 0 NDG 6.597 6.597 6.597 0 0 NDL 2.891 2.891 2.891 0 0 NDD1 9.488 9.488 9.488 0 0 NDG1 0 0 0 0 0 P 0,5% 0,5% 0,5% 0,0% 0,0% PG 69,5% 69,5% 69,5% 0,0% 0,0% PL 30,5% 30,5% 30,5% 0,0% 0,0% P1 0,5% 0,5% 0,5% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 887.141 3.826 2 887.141 3.826 3 887.141 3.826 4 0 0 5 0 0 NDG 1.155 1.155 1.155 0 0 NDL 2.671 2.671 2.671 0 0 NDD1 3.826 3.826 3.826 0 0 NDG1 0 0 0 0 0 P 0,4% 0,4% 0,4% 0,0% 0,0% PG 30,2% 30,2% 30,2% 0,0% 0,0% PL 69,8% 69,8% 69,8% 0,0% 0,0% P1 0,4% 0,4% 0,4% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 220 220 220 0 0 NDD1 5.662 5.662 5.662 0 0 NDG1 0 0 0 0 0 PL 3,9% 3,9% 3,9% 0,0% 0,0% P1 0,6% 0,6% 0,6% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 C 1 2 3 4 5 temperature values equal to or above base: C NSC NDF NDG 1 886.903 5.662 5.442 2 886.903 5.662 5.442 3 886.903 5.662 5.442 4 0 0 0 5 0 0 0 C 1 2 3 4 5 P 0,6% 0,6% 0,6% 0,0% 0,0% PG 96,1% 96,1% 96,1% 0,0% 0,0% MAXD 0,1 0,1 0,1 0,0 0,0 TLCB 18,90 18,90 18,90 0,00 0,00 DTLCB 838,6 838,6 838,6 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,0 0,0 TLCB 9,50 9,50 9,50 0,00 0,00 DTLCB 1.014,3 1.014,3 1.014,3 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,0 0,0 TLCB 18,90 18,90 18,90 0,00 0,00 DTLCB 838,6 838,6 838,6 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 25 Table 59A – crude oil, 20 °C base temperature – detailed results Comparison grid: Observed temperature: -5 °C to 45 °C, increment 0,1 °C Observed density: 606,1 kg/m³ to 1.161,2 kg/m³, increment 0,1 kg/m³ Quantity compared: Base density / kg/m³ @ 20 °C Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 26 Results ASTM D1250-80 standard rounding: All temperature values: NSC NDF C 1 2.727.681 2.182.361 2 1.591.100 1.272.899 3 318.220 11.587 4 1.136.581 909.462 5 227.217 11.261 C 1 2 3 4 5 P 80,0% 80,0% 3,6% 80,0% 5,0% temperature values below base: C NSC NDF 1 1.356.410 1.088.058 2 788.035 631.899 3 157.607 5.827 4 568.375 456.159 5 113.675 5.700 C 1 2 3 4 5 P 80,2% 80,2% 3,7% 80,3% 5,0% NDG 1.094.097 637.845 5.761 456.252 5.563 NDL 1.088.264 635.054 5.826 453.210 5.698 NDD1 1.091.116 636.531 11.587 454.585 11.261 NDG1 1.091.245 636.368 0 454.877 0 PG 50,1% 50,1% 49,7% 50,2% 49,4% PL 49,9% 49,9% 50,3% 49,8% 50,6% P1 40,0% 40,0% 3,6% 40,0% 5,0% PX 40,0% 40,0% 0,0% 40,0% 0,0% NDG 534.124 310.863 3 223.261 2 NDL 553.934 321.036 5.824 232.898 5.698 NDD1 536.741 312.219 5.827 224.522 5.700 NDG1 551.317 319.680 0 231.637 0 PG 49,1% 49,2% 0,1% 48,9% 0,0% PL 50,9% 50,8% 99,9% 51,1% 100,0% P1 39,6% 39,6% 3,7% 39,5% 5,0% PX 40,6% 40,6% 0,0% 40,8% 0,0% NDL 534.330 314.018 2 220.312 0 NDD1 554.375 324.312 5.760 230.063 5.561 NDG1 539.928 316.688 0 223.240 0 PL 48,8% 49,0% 0,0% 48,6% 0,0% P1 40,4% 40,4% 3,6% 40,5% 4,9% PX 39,4% 39,4% 0,0% 39,3% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.371.271 1.094.303 559.973 2 803.065 641.000 326.982 3 160.613 5.760 5.758 4 568.206 453.303 232.991 5 113.542 5.561 5.561 C 1 2 3 4 5 P 79,8% 79,8% 3,6% 79,8% 4,9% PG 51,2% 51,0% 100,0% 51,4% 100,0% MAXD 0,3 0,3 0,1 0,3 0,1 TLCB 19,80 19,80 19,80 19,70 19,70 DTLCB 817,3 817,3 817,5 734,8 735,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,3 0,3 0,1 0,3 0,1 TLCB 19,80 19,80 19,80 19,70 19,70 DTLCB 817,3 817,3 817,5 734,8 735,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,3 0,3 0,1 0,3 0,1 TLCB 20,20 20,20 20,20 20,30 20,30 DTLCB 815,2 815,2 815,0 734,7 734,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 27 Results ASTM D1250-80 with “German rounding” (Input data): All temperature values: NSC C 1 2.727.681 2 1.591.108 3 1.591.108 4 1.136.573 5 1.136.573 C 1 2 3 4 5 NDF 114.103 57.709 57.709 56.394 56.394 NDG 56.502 28.622 28.622 27.880 27.880 NDL 57.601 29.087 29.087 28.514 28.514 NDD1 114.103 57.709 57.709 56.394 56.394 NDG1 0 0 0 0 0 P 4,2% 3,6% 3,6% 5,0% 5,0% PG 49,5% 49,6% 49,6% 49,4% 49,4% PL 50,5% 50,4% 50,4% 50,6% 50,6% P1 4,2% 3,6% 3,6% 5,0% 5,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 25 14 14 11 11 NDL 57.588 29.079 29.079 28.509 28.509 NDD1 57.613 29.093 29.093 28.520 28.520 NDG1 0 0 0 0 0 PG 0,0% 0,0% 0,0% 0,0% 0,0% PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 4,2% 3,7% 3,7% 5,0% 5,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 13 8 8 5 5 NDD1 56.490 28.616 28.616 27.874 27.874 NDG1 0 0 0 0 0 PL 0,0% 0,0% 0,0% 0,0% 0,0% P1 4,1% 3,6% 3,6% 4,9% 4,9% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 1.356.410 57.613 2 788.044 29.093 3 788.044 29.093 4 568.366 28.520 5 568.366 28.520 C 1 2 3 4 5 P 4,2% 3,7% 3,7% 5,0% 5,0% temperature values equal to or above base: C NSC NDF NDG 1 1.371.271 56.490 56.477 2 803.064 28.616 28.608 3 803.064 28.616 28.608 4 568.207 27.874 27.869 5 568.207 27.874 27.869 C 1 2 3 4 5 P 4,1% 3,6% 3,6% 4,9% 4,9% PG 100,0% 100,0% 100,0% 100,0% 100,0% MAXD 0,1 0,1 0,1 0,1 0,1 TLCB 19,80 19,80 19,80 19,70 19,70 DTLCB 815,2 815,2 815,2 734,9 734,9 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,1 0,1 TLCB 19,80 19,80 19,80 19,70 19,70 DTLCB 815,2 815,2 815,2 734,9 734,9 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,1 0,1 TLCB 20,20 20,20 20,20 20,30 20,30 DTLCB 814,9 814,9 814,9 734,5 734,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 28 Table 59B – products, 20 °C base temperature – detailed results Comparison grid: Observed temperature: -5 °C to 45 °C, increment 0,1 °C Observed density: 606,1 kg/m³ to 1.160,6 kg/m³, increment 0,1 kg/m³ Quantity compared: Base density / kg/m³ @ 20 °C Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 29 Results ASTM D1250-80 standard rounding: All temperature values: NSC NDF C 1 2.721.108 2.176.975 2 2.112.500 1.690.100 3 422.500 15.521 4 608.608 486.875 5 121.672 2.238 C 1 2 3 4 5 P 80,0% 80,0% 3,7% 80,0% 1,8% temperature values below base: C NSC NDF 1 1.354.901 1.086.111 2 1.056.250 846.978 3 211.250 7.762 4 298.651 239.133 5 59.780 917 C 1 2 3 4 5 P 80,2% 80,2% 3,7% 80,1% 1,5% NDG 1.091.220 846.966 7.760 244.254 1.322 NDL 1.085.755 843.134 7.761 242.621 916 NDD1 1.088.788 845.030 15.482 243.758 2.238 NDG1 1.088.187 845.070 39 243.117 0 PG 50,1% 50,1% 50,0% 50,2% 59,1% PL 49,9% 49,9% 50,0% 49,8% 40,9% P1 40,0% 40,0% 3,7% 40,1% 1,8% PX 40,0% 40,0% 0,0% 39,9% 0,0% NDG 535.552 416.735 11 118.817 6 NDL 550.559 430.243 7.751 120.316 911 NDD1 537.851 418.755 7.723 119.096 917 NDG1 548.260 428.223 39 120.037 0 PG 49,3% 49,2% 0,1% 49,7% 0,7% PL 50,7% 50,8% 99,9% 50,3% 99,3% P1 39,7% 39,6% 3,7% 39,9% 1,5% PX 40,5% 40,5% 0,0% 40,2% 0,0% NDL 535.196 412.891 10 122.305 5 NDD1 550.937 426.275 7.759 124.662 1.321 NDG1 539.927 416.847 0 123.080 0 PL 49,1% 49,0% 0,1% 49,4% 0,4% P1 40,3% 40,4% 3,7% 40,2% 2,1% PX 39,5% 39,5% 0,0% 39,7% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.366.207 1.090.864 555.668 2 1.056.250 843.122 430.231 3 211.250 7.759 7.749 4 309.957 247.742 125.437 5 61.892 1.321 1.316 C 1 2 3 4 5 P 79,8% 79,8% 3,7% 79,9% 2,1% PG 50,9% 51,0% 99,9% 50,6% 99,6% MAXD 0,4 0,4 0,2 0,3 0,1 TLCB 2,20 2,20 -2,40 19,00 19,00 DTLCB 786,8 786,8 786,5 1.142,8 1.143,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,4 0,4 0,2 0,3 0,1 TLCB 2,20 2,20 -2,40 19,00 19,00 DTLCB 786,8 786,8 786,5 1.142,8 1.143,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,3 0,3 0,1 0,3 0,1 TLCB 20,30 20,30 20,30 21,00 21,00 DTLCB 773,7 773,7 773,5 1143,7 1143,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 30 Results ASTM D1250-80 with “German rounding” (Input data): All temperature values: NSC C 1 2.721.108 2 2.110.500 3 2.110.500 4 610.608 5 610.608 C 1 2 3 4 5 NDF 88.935 77.635 77.635 11.300 11.300 NDG 45.449 38.732 38.732 6.717 6.717 NDL 43.486 38.903 38.903 4.583 4.583 NDD1 88.804 77.504 77.504 11.300 11.300 NDG1 131 131 131 0 0 P 3,3% 3,7% 3,7% 1,9% 1,9% PG 51,1% 49,9% 49,9% 59,4% 59,4% PL 48,9% 50,1% 50,1% 40,6% 40,6% P1 3,3% 3,7% 3,7% 1,9% 1,9% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 102 64 64 38 38 NDL 43.423 38.864 38.864 4.559 4.559 NDD1 43.394 38.797 38.797 4.597 4.597 NDG1 131 131 131 0 0 PG 0,2% 0,2% 0,2% 0,8% 0,8% PL 99,8% 99,8% 99,8% 99,2% 99,2% P1 3,2% 3,7% 3,7% 1,5% 1,5% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 63 39 39 24 24 NDD1 45.410 38.707 38.707 6.703 6.703 NDG1 0 0 0 0 0 PL 0,1% 0,1% 0,1% 0,4% 0,4% P1 3,3% 3,7% 3,7% 2,2% 2,2% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 1.354.901 43.525 2 1.055.250 38.928 3 1.055.250 38.928 4 299.651 4.597 5 299.651 4.597 C 1 2 3 4 5 P 3,2% 3,7% 3,7% 1,5% 1,5% temperature values equal to or above base: C NSC NDF NDG 1 1.366.207 45.410 45.347 2 1.055.250 38.707 38.668 3 1.055.250 38.707 38.668 4 310.957 6.703 6.679 5 310.957 6.703 6.679 C 1 2 3 4 5 P 3,3% 3,7% 3,7% 2,2% 2,2% PG 99,9% 99,9% 99,9% 99,6% 99,6% MAXD 0,2 0,2 0,2 0,1 0,1 TLCB -2,00 -2,00 -2,00 19,00 19,00 DTLCB 785,9 785,9 785,9 1.142,7 1.142,7 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,2 0,2 0,2 0,1 0,1 TLCB -2,00 -2,00 -2,00 19,00 19,00 DTLCB 785,9 785,9 785,9 1.142,7 1.142,7 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,1 0,1 TLCB 20,20 20,20 20,20 21,00 21,00 DTLCB 789,1 789,1 789,1 1143,4 1143,4 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 31 Table 59D – lubricants, 20 °C base temperature – detailed results Comparison grid: Observed temperature: -5 °C to 45 °C, increment 0,1 °C Observed density: 798,1 kg/m³ to 1.160,7 kg/m³, increment 0,1 kg/m³ Quantity compared: Base density / kg/m³ @ 20 °C Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 32 Results ASTM D1250-80 standard rounding: All temperature values: NSC NDF C 1 1.773.968 1.419.268 2 1.773.943 1.419.243 3 354.690 1.405 4 25 25 5 0 0 C 1 2 3 4 5 P 80,0% 80,0% 0,4% 100,0% 0,0% temperature values below base: C NSC NDF 1 886.950 709.563 2 886.950 709.563 3 177.385 349 4 0 0 5 0 0 C 1 2 3 4 5 P 80,0% 80,0% 0,2% 0,0% 0,0% NDG 710.697 710.697 1.106 0 0 NDL 708.571 708.546 299 25 0 NDD1 709.653 709.653 1.405 0 0 NDG1 709.615 709.590 0 25 0 PG 50,1% 50,1% 78,7% 0,0% 0,0% PL 49,9% 49,9% 21,3% 100,0% 0,0% P1 40,0% 40,0% 0,4% 0,0% 0,0% PX 40,0% 40,0% 0,0% 100,0% 0,0% NDG 354.781 354.781 97 0 0 NDL 354.782 354.782 252 0 0 NDD1 354.782 354.782 349 0 0 NDG1 354.781 354.781 0 0 0 PG 50,0% 50,0% 27,8% 0,0% 0,0% PL 50,0% 50,0% 72,2% 0,0% 0,0% P1 40,0% 40,0% 0,2% 0,0% 0,0% PX 40,0% 40,0% 0,0% 0,0% 0,0% NDL 353.789 353.764 47 25 0 NDD1 354.871 354.871 1.056 0 0 NDG1 354.834 354.809 0 25 0 PL 49,9% 49,8% 4,5% 100,0% 0,0% P1 40,0% 40,0% 0,6% 0,0% 0,0% PX 40,0% 40,0% 0,0% 100,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 887.018 709.705 355.916 2 886.993 709.680 355.916 3 177.305 1.056 1.009 4 25 25 0 5 0 0 0 C 1 2 3 4 5 P 80,0% 80,0% 0,6% 100,0% 0,0% PG 50,1% 50,2% 95,5% 0,0% 0,0% MAXD 0,3 0,3 0,1 0,2 0,0 TLCB 23,10 23,10 23,10 20,60 0,00 DTLCB 1.066,7 1.066,7 1.066,5 1.160,3 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,3 0,3 0,1 0,0 0,0 TLCB 11,80 11,80 11,80 0,00 0,00 DTLCB 805,3 805,3 805,5 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,3 0,3 0,1 0,2 0,0 TLCB 23,10 23,10 23,10 20,60 0,00 DTLCB 1066,7 1066,7 1066,5 1160,3 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 33 Results ASTM D1250-80 with “German rounding” (Input data): All temperature values: NSC C 1 1.773.968 2 1.773.968 3 1.773.968 4 0 5 0 C 1 2 3 4 5 NDF 7.171 7.171 7.171 0 0 NDG 5.627 5.627 5.627 0 0 NDL 1.544 1.544 1.544 0 0 NDD1 7.171 7.171 7.171 0 0 NDG1 0 0 0 0 0 P 0,4% 0,4% 0,4% 0,0% 0,0% PG 78,5% 78,5% 78,5% 0,0% 0,0% PL 21,5% 21,5% 21,5% 0,0% 0,0% P1 0,4% 0,4% 0,4% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 564 564 564 0 0 NDL 1.360 1.360 1.360 0 0 NDD1 1.924 1.924 1.924 0 0 NDG1 0 0 0 0 0 PG 29,3% 29,3% 29,3% 0,0% 0,0% PL 70,7% 70,7% 70,7% 0,0% 0,0% P1 0,2% 0,2% 0,2% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 184 184 184 0 0 NDD1 5.247 5.247 5.247 0 0 NDG1 0 0 0 0 0 PL 3,5% 3,5% 3,5% 0,0% 0,0% P1 0,6% 0,6% 0,6% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 886.950 1.924 2 886.950 1.924 3 886.950 1.924 4 0 0 5 0 0 C 1 2 3 4 5 P 0,2% 0,2% 0,2% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 887.018 5.247 5.063 2 887.018 5.247 5.063 3 887.018 5.247 5.063 4 0 0 0 5 0 0 0 C 1 2 3 4 5 P 0,6% 0,6% 0,6% 0,0% 0,0% PG 96,5% 96,5% 96,5% 0,0% 0,0% MAXD 0,1 0,1 0,1 0,0 0,0 TLCB 23,10 23,10 23,10 0,00 0,00 DTLCB 1.057,8 1.057,8 1.057,8 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,0 0,0 TLCB 11,80 11,80 11,80 0,00 0,00 DTLCB 803,7 803,7 803,7 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,1 0,1 0,1 0,0 0,0 TLCB 23,10 23,10 23,10 0,00 0,00 DTLCB 1057,8 1057,8 1057,8 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 34 Table 6A – crude oil, 60 °F base temperature – detailed results Comparison grid: Observed temperature: 14 °F to 104 °F, increment 0,2 °F Base density @ 60 °F: -10 °API to 100 °API, increment 0,1 °API Quantity compared: Volume correction factor observed to base (5 & 4 decimals rounding) Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations – 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations – 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations – deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations – deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 35 VCF - 5 decimals All temperature values: NSC C 1 495.450 2 247.950 3 247.950 4 247.500 5 247.500 C 1 2 3 4 5 NDF 301.690 143.456 143.456 158.234 158.234 NDG 121.264 59.872 59.872 61.392 61.392 NDL 180.426 83.584 83.584 96.842 96.842 NDD1 124.244 54.806 54.806 69.438 69.438 NDG1 177.446 88.650 88.650 88.796 88.796 P 60,9% 57,9% 57,9% 63,9% 63,9% PG 40,2% 41,7% 41,7% 38,8% 38,8% PL 59,8% 58,3% 58,3% 61,2% 61,2% P1 25,1% 22,1% 22,1% 28,1% 28,1% PX 35,8% 35,8% 35,8% 35,9% 35,9% NDG 121.264 59.872 59.872 61.392 61.392 NDL 106.520 54.087 54.087 52.433 52.433 NDD1 50.444 25.309 25.309 25.135 25.135 NDG1 177.340 88.650 88.650 88.690 88.690 PG 53,2% 52,5% 52,5% 53,9% 53,9% PL 46,8% 47,5% 47,5% 46,1% 46,1% P1 19,9% 20,0% 20,0% 19,9% 19,9% PX 70,0% 70,0% 70,0% 70,1% 70,1% NDL 73.906 29.497 29.497 44.409 44.409 NDD1 73.800 29.497 29.497 44.303 44.303 NDG1 106 0 0 106 106 PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 30,5% 24,3% 24,3% 36,6% 36,6% PX 0,0% 0,0% 0,0% 0,1% 0,1% temperature values below base: C NSC NDF 1 253.230 227.784 2 126.730 113.959 3 126.730 113.959 4 126.500 113.825 5 126.500 113.825 C 1 2 3 4 5 P 90,0% 89,9% 89,9% 90,0% 90,0% temperature values equal to or above base: C NSC NDF NDG 1 242.220 73.906 0 2 121.220 29.497 0 3 121.220 29.497 0 4 121.000 44.409 0 5 121.000 44.409 0 C 1 2 3 4 5 P 30,5% 24,3% 24,3% 36,7% 36,7% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,00006 0,00006 0,00006 0,00006 0,00006 TLCB 38,0 32,6 32,6 38,0 38,0 DTLCB 95,6 54,8 54,8 95,6 95,6 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00006 0,00006 0,00006 0,00006 0,00006 TLCB 38,0 32,6 32,6 38,0 38,0 DTLCB 95,6 54,8 54,8 95,6 95,6 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00002 0,00001 0,00001 0,00002 0,00002 TLCB 96,8 60,2 60,2 96,8 96,8 DTLCB 98,7 16,7 16,7 98,7 98,7 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 36 VCF – 4 decimals All temperature values: NSC C 1 495.450 2 247.950 3 247.950 4 247.500 5 247.500 NDF 9.218 3.148 3.148 6.070 6.070 NDG 7.509 2.947 2.947 4.562 4.562 NDL 1.709 201 201 1.508 1.508 NDD1 9.218 3.148 3.148 6.070 6.070 NDG1 0 0 0 0 0 P 1,9% 1,3% 1,3% 2,5% 2,5% PG 81,5% 93,6% 93,6% 75,2% 75,2% PL 18,5% 6,4% 6,4% 24,8% 24,8% P1 1,9% 1,3% 1,3% 2,5% 2,5% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 253.230 7.509 2 126.730 2.947 3 126.730 2.947 4 126.500 4.562 5 126.500 4.562 NDG 7.509 2.947 2.947 4.562 4.562 NDL 0 0 0 0 0 NDD1 7.509 2.947 2.947 4.562 4.562 NDG1 0 0 0 0 0 PG 100,0% 100,0% 100,0% 100,0% 100,0% PL 0,0% 0,0% 0,0% 0,0% 0,0% P1 3,0% 2,3% 2,3% 3,6% 3,6% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 1.709 201 201 1.508 1.508 NDD1 1.709 201 201 1.508 1.508 NDG1 0 0 0 0 0 PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 0,7% 0,2% 0,2% 1,2% 1,2% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 C 1 2 3 4 5 P 3,0% 2,3% 2,3% 3,6% 3,6% temperature values equal to or above base: C NSC NDF NDG 1 242.220 1.709 0 2 121.220 201 0 3 121.220 201 0 4 121.000 1.508 0 5 121.000 1.508 0 C 1 2 3 4 5 P 0,7% 0,2% 0,2% 1,2% 1,2% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 59,8 59,2 59,2 59,8 59,8 DTLCB 78,1 3,8 3,8 78,1 78,1 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 59,8 59,2 59,2 59,8 59,8 DTLCB 78,1 3,8 3,8 78,1 78,1 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 80,4 89,4 89,4 80,4 80,4 DTLCB 98,7 49,1 49,1 98,7 98,7 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 37 Table 6B – products, 60 °F base temperature – detailed results Comparison grid: Observed temperature: 14 °F to 104 °F, increment 0,2 °F Base density @ 60 °F: -10 °API to 100 °API, increment 0,1 °API Quantity compared: Volume correction factor observed to base (5 & 4 decimals rounding) Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations – 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations – 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations – deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations – deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 38 VCF - 5 decimals All temperature values: NSC C 1 495.450 2 382.950 3 382.950 4 112.500 5 112.500 C 1 2 3 4 5 NDF 306.406 234.616 234.616 71.790 71.790 NDG 121.692 93.819 93.819 27.873 27.873 NDL 184.714 140.797 140.797 43.917 43.917 NDD1 128.944 97.605 97.605 31.339 31.339 NDG1 177.462 137.011 137.011 40.451 40.451 P 61,8% 61,3% 61,3% 63,8% 63,8% PG 39,7% 40,0% 40,0% 38,8% 38,8% PL 60,3% 60,0% 60,0% 61,2% 61,2% P1 26,0% 25,5% 25,5% 27,9% 27,9% PX 35,8% 35,8% 35,8% 36,0% 36,0% NDG 121.692 93.819 93.819 27.873 27.873 NDL 106.305 82.423 82.423 23.882 23.882 NDD1 50.707 39.254 39.254 11.453 11.453 NDG1 177.290 136.988 136.988 40.302 40.302 PG 53,4% 53,2% 53,2% 53,9% 53,9% PL 46,6% 46,8% 46,8% 46,1% 46,1% P1 20,0% 20,1% 20,1% 19,9% 19,9% PX 70,0% 70,0% 70,0% 70,1% 70,1% NDL 78.409 58.374 58.374 20.035 20.035 NDD1 78.237 58.351 58.351 19.886 19.886 NDG1 172 23 23 149 149 PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 32,3% 31,2% 31,2% 36,2% 36,2% PX 0,1% 0,0% 0,0% 0,3% 0,3% temperature values below base: C NSC NDF 1 253.230 227.997 2 195.730 176.242 3 195.730 176.242 4 57.500 51.755 5 57.500 51.755 C 1 2 3 4 5 P 90,0% 90,0% 90,0% 90,0% 90,0% temperature values equal to or above base: C NSC NDF NDG 1 242.220 78.409 0 2 187.220 58.374 0 3 187.220 58.374 0 4 55.000 20.035 0 5 55.000 20.035 0 C 1 2 3 4 5 P 32,4% 31,2% 31,2% 36,4% 36,4% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,00006 0,00006 0,00006 0,00006 0,00006 TLCB 38,6 36,2 36,2 38,6 38,6 DTLCB 96,0 80,2 80,2 96,0 96,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00006 0,00006 0,00006 0,00006 0,00006 TLCB 38,6 36,2 36,2 38,6 38,6 DTLCB 96,0 80,2 80,2 96,0 96,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00002 0,00002 0,00002 0,00002 0,00002 TLCB 96 100,2 100,2 96 96 DTLCB 98,4 84,8 84,8 98,4 98,4 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 39 VCF – 4 decimals All temperature values: NSC C 1 495.450 2 382.950 3 382.950 4 112.500 5 112.500 NDF 9.859 7.021 7.021 2.838 2.838 NDG 7.879 5.827 5.827 2.052 2.052 NDL 1.980 1.194 1.194 786 786 NDD1 9.859 7.021 7.021 2.838 2.838 NDG1 0 0 0 0 0 P 2,0% 1,8% 1,8% 2,5% 2,5% PG 79,9% 83,0% 83,0% 72,3% 72,3% PL 20,1% 17,0% 17,0% 27,7% 27,7% P1 2,0% 1,8% 1,8% 2,5% 2,5% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 253.230 7.879 2 195.730 5.827 3 195.730 5.827 4 57.500 2.052 5 57.500 2.052 NDG 7.879 5.827 5.827 2.052 2.052 NDL 0 0 0 0 0 NDD1 7.879 5.827 5.827 2.052 2.052 NDG1 0 0 0 0 0 PG 100,0% 100,0% 100,0% 100,0% 100,0% PL 0,0% 0,0% 0,0% 0,0% 0,0% P1 3,1% 3,0% 3,0% 3,6% 3,6% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 1.980 1.194 1.194 786 786 NDD1 1.980 1.194 1.194 786 786 NDG1 0 0 0 0 0 PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 0,8% 0,6% 0,6% 1,4% 1,4% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 C 1 2 3 4 5 P 3,1% 3,0% 3,0% 3,6% 3,6% temperature values equal to or above base: C NSC NDF NDG 1 242.220 1.980 0 2 187.220 1.194 0 3 187.220 1.194 0 4 55.000 786 0 5 55.000 786 0 C 1 2 3 4 5 P 0,8% 0,6% 0,6% 1,4% 1,4% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 59,6 59,2 59,2 59,6 59,6 DTLCB 93,4 82,9 82,9 93,4 93,4 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 59,6 59,2 59,2 59,6 59,6 DTLCB 93,4 82,9 82,9 93,4 93,4 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 79,4 81,2 81,2 79,4 79,4 DTLCB 91,6 78,4 78,4 91,6 91,6 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 40 Table 6C – special applications, 60 °F base temperature – detailed results Comparison grid: Observed temperature: 14 °F to 104 °F, increment 0,2 °F Thermal expansion coefficient @ 60 °F: 0,0002300 1 /°F to 0,0009300 1/ °F, increment 0,0000001 Quantity compared: Volume correction factor observed to base (5 & 4 decimals rounding) Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs TTLCB: Thermal expansion coefficient for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations – 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations – 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations – deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations – deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 41 VCF - 5 decimals All temperature values: NSC NDF C 1 3.150.450 2.010.421 2 2.971.350 1.902.813 3 594.450 376.651 4 179.100 107.608 5 36.000 18.997 C 1 2 3 4 5 P 63,8% 64,0% 63,4% 60,1% 52,8% temperature values below base: C NSC NDF 1 1.610.230 1.449.428 2 1.518.690 1.367.162 3 303.830 273.500 4 91.540 82.266 5 18.400 16.528 C 1 2 3 4 5 P 90,0% 90,0% 90,0% 89,9% 89,8% NDG 815.755 766.679 147.080 49.076 8.529 NDL 1.194.666 1.136.134 229.571 58.532 10.468 NDD1 839.952 796.453 163.658 43.499 6.168 NDG1 1.170.469 1.106.360 212.993 64.109 12.829 PG 40,6% 40,3% 39,0% 45,6% 44,9% PL 59,4% 59,7% 61,0% 54,4% 55,1% P1 26,7% 26,8% 27,5% 24,3% 17,1% PX 37,2% 37,2% 35,8% 35,8% 35,6% NDG 777.711 735.192 147.080 42.519 8.529 NDL 671.717 631.970 126.420 39.747 7.999 NDD1 321.811 303.434 60.640 18.377 3.699 NDG1 1.127.617 1.063.728 212.860 63.889 12.829 PG 53,7% 53,8% 53,8% 51,7% 51,6% PL 46,3% 46,2% 46,2% 48,3% 48,4% P1 20,0% 20,0% 20,0% 20,1% 20,1% PX 70,0% 70,0% 70,1% 69,8% 69,7% NDL 522.949 504.164 103.151 18.785 2.469 NDD1 518.141 493.019 103.018 25.122 2.469 NDG1 42.852 42.632 133 220 0 PL 93,2% 94,1% 100,0% 74,1% 100,0% P1 33,6% 33,9% 35,4% 28,7% 14,0% PX 2,8% 2,9% 0,0% 0,3% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.540.220 560.993 38.044 2 1.452.660 535.651 31.487 3 290.620 103.151 0 4 87.560 25.342 6.557 5 17.600 2.469 0 C 1 2 3 4 5 P 36,4% 36,9% 35,5% 28,9% 14,0% PG 6,8% 5,9% 0,0% 25,9% 0,0% MAXD 0,00007 0,00007 0,00006 0,00006 0,00005 TLCB 23,8 23,8 36,8 40,2 59,8 TTLCB 0,000889 2 0,000889 2 0,000926 5 0,000260 7 0,000230 0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00007 0,00007 0,00006 0,00006 0,00005 TLCB 23,8 23,8 36,8 40,2 59,8 TTLCB 0,000889 2 0,000889 2 0,000926 5 0,000260 7 0,000230 0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00003 0,00003 0,00002 0,00002 0,00001 TLCB 103,8 103,8 99,8 97,2 61,4 TTLCB 0,000927 2 0,000927 2 0,000916 0 0,000269 7 0,000253 5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 42 VCF – 4 decimals All temperature values: NSC C 1 3.150.450 2 2.971.350 3 594.450 4 179.100 5 36.000 C 1 2 3 4 5 NDF 95.457 91.855 13.445 3.602 266 NDG 58.231 56.114 10.433 2.117 266 NDL 37.226 35.741 3.012 1.485 0 NDD1 95.457 91.855 13.445 3.602 266 NDG1 0 0 0 0 0 P 3,0% 3,1% 2,3% 2,0% 0,7% PG 61,0% 61,1% 77,6% 58,8% 100,0% PL 39,0% 38,9% 22,4% 41,2% 0,0% P1 3,0% 3,1% 2,3% 2,0% 0,7% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 58.204 56.109 10.433 2.095 266 NDL 4.750 4.049 0 701 0 NDD1 62.954 60.158 10.433 2.796 266 NDG1 0 0 0 0 0 PG 92,5% 93,3% 100,0% 74,9% 100,0% PL 7,5% 6,7% 0,0% 25,1% 0,0% P1 3,9% 4,0% 3,4% 3,1% 1,4% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 32.476 31.692 3.012 784 0 NDD1 32.503 31.697 3.012 806 0 NDG1 0 0 0 0 0 PL 99,9% 100,0% 100,0% 97,3% 0,0% P1 2,1% 2,2% 1,0% 0,9% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 1.610.230 62.954 2 1.518.690 60.158 3 303.830 10.433 4 91.540 2.796 5 18.400 266 C 1 2 3 4 5 P 3,9% 4,0% 3,4% 3,1% 1,4% temperature values equal to or above base: C NSC NDF NDG 1 1.540.220 32.503 27 2 1.452.660 31.697 5 3 290.620 3.012 0 4 87.560 806 22 5 17.600 0 0 C 1 2 3 4 5 P 2,1% 2,2% 1,0% 0,9% 0,0% PG 0,1% 0,0% 0,0% 2,7% 0,0% MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 59,8 59,8 59,8 59,8 59,4 TTLCB 0,0002498 0,0007499 0,0007500 0,0002498 0,0002500 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 59,8 59,8 59,8 59,8 59,4 TTLCB 0,0002498 0,0007499 0,0007500 0,0002498 0,0002500 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0000 TLCB 71,8 71,8 81,4 79,4 0 TTLCB 0,0009252 0,0009252 0,0008805 0,0002447 0,0000000 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 43 Table 6D – lubricants, 60 °F base temperature – detailed results Comparison grid: Observed temperature: 14 °F to 104 °F, increment 0,2 °F Base density @ 60 °F: -10 °API to 45 °API, increment 0,1 °API Quantity compared: Volume correction factor observed to base (5 & 4 decimals rounding) Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations – 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations – 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations – deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations – deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 44 VCF - 5 decimals All temperature values: NSC NDF C 1 247.500 139.528 2 247.500 139.528 3 247.500 139.528 4 0 0 5 0 0 C 1 2 3 4 5 P 56,4% 56,4% 56,4% 0,0% 0,0% temperature values below base: C NSC NDF 1 126.500 113.908 2 126.500 113.908 3 126.500 113.908 4 0 0 5 0 0 C 1 2 3 4 5 P 90,0% 90,0% 90,0% 0,0% 0,0% NDG 59.396 59.396 59.396 0 0 NDL 80.132 80.132 80.132 0 0 NDD1 50.722 50.722 50.722 0 0 NDG1 88.806 88.806 88.806 0 0 PG 42,6% 42,6% 42,6% 0,0% 0,0% PL 57,4% 57,4% 57,4% 0,0% 0,0% P1 20,5% 20,5% 20,5% 0,0% 0,0% PX 35,9% 35,9% 35,9% 0,0% 0,0% NDG 59.396 59.396 59.396 0 0 NDL 54.512 54.512 54.512 0 0 NDD1 25.102 25.102 25.102 0 0 NDG1 88.806 88.806 88.806 0 0 PG 52,1% 52,1% 52,1% 0,0% 0,0% PL 47,9% 47,9% 47,9% 0,0% 0,0% P1 19,8% 19,8% 19,8% 0,0% 0,0% PX 70,2% 70,2% 70,2% 0,0% 0,0% NDL 25.620 25.620 25.620 0 0 NDD1 25.620 25.620 25.620 0 0 NDG1 0 0 0 0 0 PL 100,0% 100,0% 100,0% 0,0% 0,0% P1 21,2% 21,2% 21,2% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 121.000 25.620 0 2 121.000 25.620 0 3 121.000 25.620 0 4 0 0 0 5 0 0 0 C 1 2 3 4 5 P 21,2% 21,2% 21,2% 0,0% 0,0% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,00006 0,00006 0,00006 0,00000 0,00000 TLCB 23,0 23,0 23,0 0,0 0,0 DTLCB 43,0 43,0 43,0 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00006 0,00006 0,00006 0,00000 0,00000 TLCB 23,0 23,0 23,0 0,0 0,0 DTLCB 43,0 43,0 43,0 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00001 0,00001 0,00001 0,00000 0,00000 TLCB 60,2 60,2 60,2 0 0 DTLCB 0,2 0,2 0,2 0 0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 45 VCF – 4 decimals All temperature values: NSC C 1 247.500 2 247.500 3 247.500 4 0 5 0 NDF 2.674 2.674 2.674 0 0 NDG 2.616 2.616 2.616 0 0 NDL 58 58 58 0 0 NDD1 2.674 2.674 2.674 0 0 NDG1 0 0 0 0 0 P 1,1% 1,1% 1,1% 0,0% 0,0% PG 97,8% 97,8% 97,8% 0,0% 0,0% PL 2,2% 2,2% 2,2% 0,0% 0,0% P1 1,1% 1,1% 1,1% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 126.500 2.616 2 126.500 2.616 3 126.500 2.616 4 0 0 5 0 0 NDG 2.616 2.616 2.616 0 0 NDL 0 0 0 0 0 NDD1 2.616 2.616 2.616 0 0 NDG1 0 0 0 0 0 PG 100,0% 100,0% 100,0% 0,0% 0,0% PL 0,0% 0,0% 0,0% 0,0% 0,0% P1 2,1% 2,1% 2,1% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 58 58 58 0 0 NDD1 58 58 58 0 0 NDG1 0 0 0 0 0 PL 100,0% 100,0% 100,0% 0,0% 0,0% P1 0,0% 0,0% 0,0% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 C 1 2 3 4 5 P 2,1% 2,1% 2,1% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 121.000 58 0 2 121.000 58 0 3 121.000 58 0 4 0 0 0 5 0 0 0 C 1 2 3 4 5 P 0,0% 0,0% 0,0% 0,0% 0,0% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,0001 0,0001 0,0001 0,0000 0,0000 TLCB 59,6 59,6 59,6 0,0 0,0 DTLCB 20,5 20,5 20,5 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0000 0,0000 TLCB 59,6 59,6 59,6 0,0 0,0 DTLCB 20,5 20,5 20,5 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0000 0,0000 TLCB 95 95 95 0 0 DTLCB 34 34 34 0 0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 46 Table 24A – crude oil, 60 °F base temperature – detailed results Comparison grid: Observed temperature: 14 °F to 104 °F, increment 0,2 °F Base relative density @ 60 °F: 0,6112 to 1,1646, increment 0,1 Quantity compared: Volume correction factor observed to base (5 & 4 decimals rounding) Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations – 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations – 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations – deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations – deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 47 VCF - 5 decimals All temperature values: NSC NDF C 1 2.490.300 1.555.399 2 1.431.000 867.428 3 286.200 164.192 4 1.059.300 687.971 5 211.950 130.120 C 1 2 3 4 5 P 62,5% 60,6% 57,4% 64,9% 61,4% temperature values below base: C NSC NDF 1 1.272.820 1.145.842 2 731.400 658.168 3 146.280 131.649 4 541.420 487.674 5 108.330 97.549 C 1 2 3 4 5 P 90,0% 90,0% 90,0% 90,1% 90,0% NDG 675.759 372.964 69.033 302.795 52.034 NDL 879.640 494.464 95.159 385.176 78.086 NDD1 612.030 345.520 61.864 266.510 54.143 NDG1 943.369 521.908 102.328 421.461 75.977 PG 43,4% 43,0% 42,0% 44,0% 40,0% PL 56,6% 57,0% 58,0% 56,0% 60,0% P1 24,6% 24,1% 21,6% 25,2% 25,5% PX 37,9% 36,5% 35,8% 39,8% 35,8% NDG 605.453 345.070 69.033 260.383 52.034 NDL 540.389 313.098 62.616 227.291 45.515 NDD1 254.362 146.348 29.321 108.014 21.617 NDG1 891.480 511.820 102.328 379.660 75.932 PG 52,8% 52,4% 52,4% 53,4% 53,3% PL 47,2% 47,6% 47,6% 46,6% 46,7% P1 20,0% 20,0% 20,0% 20,0% 20,0% PX 70,0% 70,0% 70,0% 70,1% 70,1% NDL 339.251 181.366 32.543 157.885 32.571 NDD1 357.668 199.172 32.543 158.496 32.526 NDG1 51.889 10.088 0 41.801 45 PL 82,8% 86,7% 100,0% 78,8% 100,0% P1 29,4% 28,5% 23,3% 30,6% 31,4% PX 4,3% 1,4% 0,0% 8,1% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.217.480 409.557 70.306 2 699.600 209.260 27.894 3 139.920 32.543 0 4 517.880 200.297 42.412 5 103.620 32.571 0 C 1 2 3 4 5 P 33,6% 29,9% 23,3% 38,7% 31,4% PG 17,2% 13,3% 0,0% 21,2% 0,0% MAXD 0,00009 0,00007 0,00006 0,00009 0,00006 TLCB 15,0 26,4 30,8 15,0 35,6 DTLCB 0,6193 0,7678 0,7915 0,6193 0,6185 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00009 0,00007 0,00006 0,00009 0,00006 TLCB 15,0 26,4 30,8 15,0 35,6 DTLCB 0,6193 0,7678 0,7915 0,6193 0,6185 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00004 0,00003 0,00001 0,00004 0,00002 TLCB 96,8 102,4 60,2 96,8 98,6 DTLCB 0,6118 0,7708 0,7710 0,6118 0,6330 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 48 VCF – 4 decimals All temperature values: NSC C 1 2.490.300 2 1.431.000 3 286.200 4 1.059.300 5 211.950 C 1 2 3 4 5 NDF 75.989 32.600 3.513 43.389 4.306 NDG 44.150 20.076 3.300 24.074 3.358 NDL 31.839 12.524 213 19.315 948 NDD1 75.989 32.600 3.513 43.389 4.306 NDG1 0 0 0 0 0 P 3,1% 2,3% 1,2% 4,1% 2,0% PG 58,1% 61,6% 93,9% 55,5% 78,0% PL 41,9% 38,4% 6,1% 44,5% 22,0% P1 3,1% 2,3% 1,2% 4,1% 2,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 41.881 19.937 3.300 21.944 3.358 NDL 8.308 3.340 0 4.968 0 NDD1 50.189 23.277 3.300 26.912 3.358 NDG1 0 0 0 0 0 PG 83,4% 85,7% 100,0% 81,5% 100,0% PL 16,6% 14,3% 0,0% 18,5% 0,0% P1 3,9% 3,2% 2,3% 5,0% 3,1% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 23.531 9.184 213 14.347 948 NDD1 25.800 9.323 213 16.477 948 NDG1 0 0 0 0 0 PL 91,2% 98,5% 100,0% 87,1% 100,0% P1 2,1% 1,3% 0,2% 3,2% 0,9% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 1.272.820 50.189 2 731.400 23.277 3 146.280 3.300 4 541.420 26.912 5 108.330 3.358 C 1 2 3 4 5 P 3,9% 3,2% 2,3% 5,0% 3,1% temperature values equal to or above base: C NSC NDF NDG 1 1.217.480 25.800 2.269 2 699.600 9.323 139 3 139.920 213 0 4 517.880 16.477 2.130 5 103.620 948 0 C 1 2 3 4 5 P 2,1% 1,3% 0,2% 3,2% 0,9% PG 8,8% 1,5% 0,0% 12,9% 0,0% MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 59,8 59,4 59,2 59,8 59,6 DTLCB 0,6752 0,7653 0,7795 0,6752 0,6250 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 59,8 59,4 59,2 59,8 59,6 DTLCB 0,6752 0,7653 0,7795 0,6752 0,6250 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 66,6 71,4 89,4 66,6 82,4 DTLCB 0,6213 0,7603 0,7835 0,6213 0,6260 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 49 Table 24B – products, 60 °F base temperature – detailed results Comparison grid: Observed temperature: 14 °F to 104 °F, increment 0,2 °F Base relative density @ 60 °F: 0,6112 to 1,1646, increment 0,1 Quantity compared: Volume correction factor observed to base (5 & 4 decimals rounding) Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations – 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations – 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations – deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations – deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 50 VCF - 5 decimals All temperature values: NSC NDF C 1 2.490.300 1.535.529 2 1.903.500 1.182.343 3 380.700 227.792 4 586.800 353.186 5 117.450 69.848 C 1 2 3 4 5 P 61,7% 62,1% 59,8% 60,2% 59,5% temperature values below base: C NSC NDF 1 1.272.820 1.145.840 2 972.900 876.027 3 194.580 175.097 4 299.920 269.813 5 60.030 53.973 C 1 2 3 4 5 P 90,0% 90,0% 90,0% 90,0% 89,9% NDG 653.912 501.596 92.731 152.316 28.561 NDL 881.617 680.747 135.061 200.870 41.287 NDD1 587.864 458.049 91.469 129.815 27.712 NDG1 947.665 724.294 136.323 223.371 42.136 PG 42,6% 42,4% 40,7% 43,1% 40,9% PL 57,4% 57,6% 59,3% 56,9% 59,1% P1 23,6% 24,1% 24,0% 22,1% 23,6% PX 38,1% 38,1% 35,8% 38,1% 35,9% NDG 606.480 463.770 92.731 142.710 28.561 NDL 539.360 412.257 82.366 127.103 25.412 NDD1 253.693 194.116 38.787 59.577 11.924 NDG1 892.147 681.911 136.310 210.236 42.049 PG 52,9% 52,9% 53,0% 52,9% 52,9% PL 47,1% 47,1% 47,0% 47,1% 47,1% P1 19,9% 20,0% 19,9% 19,9% 19,9% PX 70,1% 70,1% 70,1% 70,1% 70,0% NDL 342.257 268.490 52.695 73.767 15.875 NDD1 334.171 263.933 52.682 70.238 15.788 NDG1 55.518 42.383 13 13.135 87 PL 87,8% 87,7% 100,0% 88,5% 100,0% P1 27,4% 28,4% 28,3% 24,5% 27,5% PX 4,6% 4,6% 0,0% 4,6% 0,2% temperature values equal to or above base: C NSC NDF NDG 1 1.217.480 389.689 47.432 2 930.600 306.316 37.826 3 186.120 52.695 0 4 286.880 83.373 9.606 5 57.420 15.875 0 C 1 2 3 4 5 P 32,0% 32,9% 28,3% 29,1% 27,6% PG 12,2% 12,3% 0,0% 11,5% 0,0% MAXD 0,00011 0,00011 0,00006 0,00008 0,00006 TLCB 19,2 19,2 33,4 22,6 38,0 DTLCB 0,7743 0,7743 0,7040 0,6123 0,6205 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00011 0,00011 0,00006 0,00008 0,00006 TLCB 19,2 19,2 33,4 22,6 38,0 DTLCB 0,7743 0,7743 0,7040 0,6123 0,6205 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00007 0,00007 0,00002 0,00004 0,00002 TLCB 101,4 101,4 100,8 100 95,2 DTLCB 0,7718 0,7718 0,6690 0,6123 0,6125 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 51 VCF – 4 decimals All temperature values: NSC C 1 2.490.300 2 1.903.500 3 380.700 4 586.800 5 117.450 C 1 2 3 4 5 NDF 74.851 59.396 6.192 15.455 2.057 NDG 45.416 35.821 5.330 9.595 1.616 NDL 29.435 23.575 862 5.860 441 NDD1 74.851 59.396 6.192 15.455 2.057 NDG1 0 0 0 0 0 P 3,0% 3,1% 1,6% 2,6% 1,8% PG 60,7% 60,3% 86,1% 62,1% 78,6% PL 39,3% 39,7% 13,9% 37,9% 21,4% P1 3,0% 3,1% 1,6% 2,6% 1,8% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 42.140 32.913 5.330 9.227 1.616 NDL 7.120 6.023 0 1.097 0 NDD1 49.260 38.936 5.330 10.324 1.616 NDG1 0 0 0 0 0 PG 85,5% 84,5% 100,0% 89,4% 100,0% PL 14,5% 15,5% 0,0% 10,6% 0,0% P1 3,9% 4,0% 2,7% 3,4% 2,7% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 22.315 17.552 862 4.763 441 NDD1 25.591 20.460 862 5.131 441 NDG1 0 0 0 0 0 PL 87,2% 85,8% 100,0% 92,8% 100,0% P1 2,1% 2,2% 0,5% 1,8% 0,8% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 1.272.820 49.260 2 972.900 38.936 3 194.580 5.330 4 299.920 10.324 5 60.030 1.616 C 1 2 3 4 5 P 3,9% 4,0% 2,7% 3,4% 2,7% temperature values equal to or above base: C NSC NDF NDG 1 1.217.480 25.591 3.276 2 930.600 20.460 2.908 3 186.120 862 0 4 286.880 5.131 368 5 57.420 441 0 C 1 2 3 4 5 P 2,1% 2,2% 0,5% 1,8% 0,8% PG 12,8% 14,2% 0,0% 7,2% 0,0% MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 59,8 59,8 59,6 59,2 59,0 DTLCB 0,6953 0,6953 0,9990 1,1538 0,6410 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 59,8 59,8 59,6 59,2 59,0 DTLCB 0,6953 0,6953 0,9990 1,1538 0,6410 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 64,0 64,0 81,0 67,2 81,0 DTLCB 0,7833 0,7833 0,6780 0,6203 0,6190 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 52 Table 24C – special applications, 60 °F base temperature – detailed results Comparison grid: Observed temperature: 14 °F to 104 °F, increment 0,2 °F Thermal expansion coefficient @ 60 °F: 0,0002300 1 /°F to 0,0009300 1/ °F, increment 0,0000001 Quantity compared: Volume correction factor observed to base (5 & 4 decimals rounding) Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs TTLCB: Thermal expansion coefficient for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations – 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations – 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations – deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations – deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 53 VCF - 5 decimals All temperature values: NSC C 1 3.150.450 2 2.971.350 3 594.450 4 179.100 5 36.000 C 1 2 3 4 5 NDF 2.010.421 1.902.813 376.651 107.608 18.997 NDG 815.755 766.679 147.080 49.076 8.529 NDL 1.194.666 1.136.134 229.571 58.532 10.468 NDD1 839.952 796.453 163.658 43.499 6.168 NDG1 1.170.469 1.106.360 212.993 64.109 12.829 P 63,8% 64,0% 63,4% 60,1% 52,8% PG 40,6% 40,3% 39,0% 45,6% 44,9% PL 59,4% 59,7% 61,0% 54,4% 55,1% P1 26,7% 26,8% 27,5% 24,3% 17,1% PX 37,2% 37,2% 35,8% 35,8% 35,6% NDG 777.711 735.192 147.080 42.519 8.529 NDL 671.717 631.970 126.420 39.747 7.999 NDD1 321.811 303.434 60.640 18.377 3.699 NDG1 1.127.617 1.063.728 212.860 63.889 12.829 PG 53,7% 53,8% 53,8% 51,7% 51,6% PL 46,3% 46,2% 46,2% 48,3% 48,4% P1 20,0% 20,0% 20,0% 20,1% 20,1% PX 70,0% 70,0% 70,1% 69,8% 69,7% NDL 522.949 504.164 103.151 18.785 2.469 NDD1 518.141 493.019 103.018 25.122 2.469 NDG1 42.852 42.632 133 220 0 PL 93,2% 94,1% 100,0% 74,1% 100,0% P1 33,6% 33,9% 35,4% 28,7% 14,0% PX 2,8% 2,9% 0,0% 0,3% 0,0% temperature values below base: C NSC NDF 1 1.610.230 1.449.428 2 1.518.690 1.367.162 3 303.830 273.500 4 91.540 82.266 5 18.400 16.528 C 1 2 3 4 5 P 90,0% 90,0% 90,0% 89,9% 89,8% temperature values equal to or above base: C NSC NDF NDG 1 1.540.220 560.993 38.044 2 1.452.660 535.651 31.487 3 290.620 103.151 0 4 87.560 25.342 6.557 5 17.600 2.469 0 C 1 2 3 4 5 P 36,4% 36,9% 35,5% 28,9% 14,0% PG 6,8% 5,9% 0,0% 25,9% 0,0% MAXD 0,00007 0,00007 0,00006 0,00006 0,00005 TLCB 23,8 23,8 36,8 40,2 59,8 TTLCB 0,0008892 0,0008892 0,0009265 0,0002607 0,0002300 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00007 0,00007 0,00006 0,00006 0,00005 TLCB 23,8 23,8 36,8 40,2 59,8 TTLCB 0,0008892 0,0008892 0,0009265 0,0002607 0,0002300 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00003 0,00003 0,00002 0,00002 0,00001 TLCB 103,8 103,8 99,8 97,2 61,4 TTLCB 0,0009272 0,0009272 0,0009160 0,0002697 0,0002535 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 54 VCF – 4 decimals All temperature values: NSC C 1 3.150.450 2 2.971.350 3 594.450 4 179.100 5 36.000 C 1 2 3 4 5 NDF 95.457 91.855 13.445 3.602 266 NDG 58.231 56.114 10.433 2.117 266 NDL 37.226 35.741 3.012 1.485 0 NDD1 95.457 91.855 13.445 3.602 266 NDG1 0 0 0 0 0 P 3,0% 3,1% 2,3% 2,0% 0,7% PG 61,0% 61,1% 77,6% 58,8% 100,0% PL 39,0% 38,9% 22,4% 41,2% 0,0% P1 3,0% 3,1% 2,3% 2,0% 0,7% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 58.204 56.109 10.433 2.095 266 NDL 4.750 4.049 0 701 0 NDD1 62.954 60.158 10.433 2.796 266 NDG1 0 0 0 0 0 PG 92,5% 93,3% 100,0% 74,9% 100,0% PL 7,5% 6,7% 0,0% 25,1% 0,0% P1 3,9% 4,0% 3,4% 3,1% 1,4% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 32.476 31.692 3.012 784 0 NDD1 32.503 31.697 3.012 806 0 NDG1 0 0 0 0 0 PL 99,9% 100,0% 100,0% 97,3% 0,0% P1 2,1% 2,2% 1,0% 0,9% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 1.610.230 62.954 2 1.518.690 60.158 3 303.830 10.433 4 91.540 2.796 5 18.400 266 C 1 2 3 4 5 P 3,9% 4,0% 3,4% 3,1% 1,4% temperature values equal to or above base: C NSC NDF NDG 1 1.540.220 32.503 27 2 1.452.660 31.697 5 3 290.620 3.012 0 4 87.560 806 22 5 17.600 0 0 C 1 2 3 4 5 P 2,1% 2,2% 1,0% 0,9% 0,0% PG 0,1% 0,0% 0,0% 2,7% 0,0% MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 59,8 59,8 59,8 59,8 59,4 TTLCB 0,0002498 0,0007499 0,0007500 0,0002498 0,0002500 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 59,8 59,8 59,8 59,8 59,4 TTLCB 0,0002498 0,0007499 0,0007500 0,0002498 0,0002500 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0000 TLCB 71,8 71,8 81,4 79,4 0 TTLCB 0,0009252 0,0009252 0,0008805 0,0002447 0,0000000 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 55 Table 24D – lubricants, 60 °F base temperature – detailed results Comparison grid: Observed temperature: 14 °F to 104 °F, increment 0,2 °F Base relative density @ 60 °F: 0,8017 to 1,1646, increment 0,1 Quantity compared: Volume correction factor observed to base (5 & 4 decimals rounding) Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations – 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations – 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations – deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations – deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 56 VCF - 5 decimals All temperature values: NSC NDF C 1 1.633.500 918.818 2 1.631.700 917.824 3 326.250 182.829 4 1.800 994 5 450 241 C 1 2 3 4 5 P 56,2% 56,2% 56,0% 55,2% 53,6% temperature values below base: C NSC NDF 1 834.900 751.891 2 833.980 751.074 3 166.750 150.159 4 920 817 5 230 204 C 1 2 3 4 5 P 90,1% 90,1% 90,1% 88,8% 88,7% NDG 393.320 392.900 78.162 420 104 NDL 525.498 524.924 104.667 574 137 NDD1 332.808 332.475 65.805 333 75 NDG1 586.010 585.349 117.024 661 166 PG 42,8% 42,8% 42,8% 42,3% 43,2% PL 57,2% 57,2% 57,2% 57,7% 56,8% P1 20,4% 20,4% 20,2% 18,5% 16,7% PX 35,9% 35,9% 35,9% 36,7% 36,9% NDG 391.479 391.059 78.162 420 104 NDL 360.412 360.015 71.997 397 100 NDD1 165.915 165.759 33.135 156 38 NDG1 585.976 585.315 117.024 661 166 PG 52,1% 52,1% 52,1% 51,4% 51,0% PL 47,9% 47,9% 47,9% 48,6% 49,0% P1 19,9% 19,9% 19,9% 17,0% 16,5% PX 70,2% 70,2% 70,2% 71,8% 72,2% NDL 165.086 164.909 32.670 177 37 NDD1 166.893 166.716 32.670 177 37 NDG1 34 34 0 0 0 PL 98,9% 98,9% 100,0% 100,0% 100,0% P1 20,9% 20,9% 20,5% 20,1% 16,8% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 798.600 166.927 1.841 2 797.720 166.750 1.841 3 159.500 32.670 0 4 880 177 0 5 220 37 0 C 1 2 3 4 5 P 20,9% 20,9% 20,5% 20,1% 16,8% PG 1,1% 1,1% 0,0% 0,0% 0,0% MAXD 0,00006 0,00006 0,00006 0,00005 0,00005 TLCB 39,6 39,6 23,6 48,8 47,8 DTLCB 0,8023 0,8023 0,8185 1,1646 1,1645 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00006 0,00006 0,00006 0,00005 0,00005 TLCB 39,6 39,6 23,6 48,8 47,8 DTLCB 0,8023 0,8023 0,8185 1,1646 1,1645 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00002 0,00002 0,00001 0,00001 0,00001 TLCB 98,4 98,4 60,2 75,0 76,2 DTLCB 0,8023 0,8023 0,9310 1,1643 1,1645 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 57 VCF – 4 decimals All temperature values: NSC C 1 1.633.500 2 1.631.700 3 326.250 4 1.800 5 450 C 1 2 3 4 5 NDF 19.140 19.126 3.292 14 3 NDG 16.734 16.720 3.242 14 3 NDL 2.406 2.406 50 0 0 NDD1 19.140 19.126 3.292 14 3 NDG1 0 0 0 0 0 P 1,2% 1,2% 1,0% 0,8% 0,7% PG 87,4% 87,4% 98,5% 100,0% 100,0% PL 12,6% 12,6% 1,5% 0,0% 0,0% P1 1,2% 1,2% 1,0% 0,8% 0,7% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 16.734 16.720 3.242 14 3 NDL 280 280 0 0 0 NDD1 17.014 17.000 3.242 14 3 NDG1 0 0 0 0 0 PG 98,4% 98,4% 100,0% 100,0% 100,0% PL 1,6% 1,6% 0,0% 0,0% 0,0% P1 2,0% 2,0% 1,9% 1,5% 1,3% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 2.126 2.126 50 0 0 NDD1 2.126 2.126 50 0 0 NDG1 0 0 0 0 0 PL 100,0% 100,0% 100,0% 0,0% 0,0% P1 0,3% 0,3% 0,0% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 834.900 17.014 2 833.980 17.000 3 166.750 3.242 4 920 14 5 230 3 C 1 2 3 4 5 P 2,0% 2,0% 1,9% 1,5% 1,3% temperature values equal to or above base: C NSC NDF NDG 1 798.600 2.126 0 2 797.720 2.126 0 3 159.500 50 0 4 880 0 0 5 220 0 0 C 1 2 3 4 5 P 0,3% 0,3% 0,0% 0,0% 0,0% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 59,6 59,6 59,6 43,8 43,8 DTLCB 0,9308 0,9308 0,9310 1,1643 1,1645 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 59,6 59,6 59,6 43,8 43,8 DTLCB 0,9308 0,9308 0,9310 1,1643 1,1645 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0000 0,0000 TLCB 82,4 82,4 94,2 0,0 0,0 DTLCB 0,8758 0,8758 0,8475 0,0000 0,0000 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 58 Table 54A – crude oil, 15 °C base temperature – detailed results Comparison grid: Observed temperature: -10 °C to 40 °C, increment 0,1 °C Base density @ 15 °C: 611,2 kg/m³ to 1.163,8 kg/m³, increment 0,1 kg/m³ Quantity compared: Volume correction factor observed to base (5 & 4 decimals rounding) Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 59 Results ASTM D1250-80 standard rounding VCF 5 decimals All temperature values: NSC NDF C 1 2.763.000 1.811.654 2 1.587.500 1.016.682 3 317.500 208.924 4 1.175.500 794.972 5 235.000 168.950 C 1 2 3 4 5 P 65,6% 64,0% 65,8% 67,6% 71,9% temperature values below base: C NSC NDF 1 1.381.500 1.243.371 2 793.750 714.454 3 158.750 142.917 4 587.750 528.917 5 117.500 105.712 C 1 2 3 4 5 P 90,0% 90,0% 90,0% 90,0% 90,0% NDG 690.271 389.057 77.239 301.214 59.849 NDL 1.121.383 627.625 131.685 493.758 109.101 NDD1 710.129 424.182 96.829 285.947 68.805 NDG1 1.101.525 592.500 112.095 509.025 100.145 PG 38,1% 38,3% 37,0% 37,9% 35,4% PL 61,9% 61,7% 63,0% 62,1% 64,6% P1 25,7% 26,7% 30,5% 24,3% 29,3% PX 39,9% 37,3% 35,3% 43,3% 42,6% NDG 685.691 386.315 77.239 299.376 59.849 NDL 557.680 328.139 65.678 229.541 45.863 NDD1 276.117 158.840 31.864 117.277 23.445 NDG1 967.254 555.614 111.053 411.640 82.267 PG 55,1% 54,1% 54,0% 56,6% 56,6% PL 44,9% 45,9% 46,0% 43,4% 43,4% P1 20,0% 20,0% 20,1% 20,0% 20,0% PX 70,0% 70,0% 70,0% 70,0% 70,0% NDL 563.703 299.486 66.007 264.217 63.238 NDD1 434.012 265.342 64.965 168.670 45.360 NDG1 134.271 36.886 1.042 97.385 17.878 PL 99,2% 99,1% 100,0% 99,3% 100,0% P1 31,4% 33,4% 40,9% 28,7% 38,6% PX 9,7% 4,6% 0,7% 16,6% 15,2% temperature values equal to or above base: C NSC NDF NDG 1 1.381.500 568.283 4.580 2 793.750 302.228 2.742 3 158.750 66.007 0 4 587.750 266.055 1.838 5 117.500 63.238 0 C 1 2 3 4 5 P 41,1% 38,1% 41,6% 45,3% 53,8% PG 0,8% 0,9% 0,0% 0,7% 0,0% MAXD 0,00009 0,00007 0,00006 0,00009 0,00007 TLCB -3,60 -1,60 4,20 -3,60 -3,60 DTLCB 614,3 759,8 763,0 614,3 614,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00009 0,00007 0,00006 0,00009 0,00007 TLCB -3,60 -1,60 4,20 -3,60 -3,60 DTLCB 614,3 759,8 763,0 614,3 614,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00006 0,00003 0,00002 0,00006 0,00004 TLCB 37,50 32,90 32,90 37,50 39,90 DTLCB 613,3 763,3 763,5 613,3 614,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 60 VCF 4 decimals All temperature values: NSC NDF C 1 2.763.000 122.378 2 1.587.500 52.019 3 317.500 8.688 4 1.175.500 70.359 5 235.000 13.164 C 1 2 3 4 5 P 4,4% 3,3% 2,7% 6,0% 5,6% temperature values below base: C NSC NDF 1 1.381.500 68.558 2 793.750 31.597 3 158.750 6.038 4 587.750 36.961 5 117.500 6.935 C 1 2 3 4 5 P 5,0% 4,0% 3,8% 6,3% 5,9% NDG 66.537 30.824 6.038 35.713 6.935 NDL 55.841 21.195 2.650 34.646 6.229 NDD1 122.378 52.019 8.688 70.359 13.164 NDG1 0 0 0 0 0 PG 54,4% 59,3% 69,5% 50,8% 52,7% PL 45,6% 40,7% 30,5% 49,2% 47,3% P1 4,4% 3,3% 2,7% 6,0% 5,6% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 66.537 30.824 6.038 35.713 6.935 NDL 2.021 773 0 1.248 0 NDD1 68.558 31.597 6.038 36.961 6.935 NDG1 0 0 0 0 0 PG 97,1% 97,6% 100,0% 96,6% 100,0% PL 2,9% 2,4% 0,0% 3,4% 0,0% P1 5,0% 4,0% 3,8% 6,3% 5,9% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 53.820 20.422 2.650 33.398 6.229 NDD1 53.820 20.422 2.650 33.398 6.229 NDG1 0 0 0 0 0 PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 3,9% 2,6% 1,7% 5,7% 5,3% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.381.500 53.820 0 2 793.750 20.422 0 3 158.750 2.650 0 4 587.750 33.398 0 5 117.500 6.229 0 C 1 2 3 4 5 P 3,9% 2,6% 1,7% 5,7% 5,3% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 14,90 14,80 14,70 14,90 14,70 DTLCB 639,8 904,8 858,5 639,8 725,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 14,90 14,80 14,70 14,90 14,70 DTLCB 639,8 904,8 858,5 639,8 725,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 17,50 19,80 24,90 17,50 20,40 DTLCB 615,8 764,3 775,0 615,8 623,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 61 Results ASTM D1250-80 with “German rounding” (Input data) VCF 5 decimals All temperature values: NSC NDF C 1 2.763.000 1.890.660 2 1.585.500 1.043.044 3 1.585.500 1.043.044 4 1.177.500 847.616 5 1.177.500 847.616 C 1 2 3 4 5 P 68,4% 65,8% 65,8% 72,0% 72,0% temperature values below base: C NSC NDF 1 1.381.500 1.243.371 2 792.750 713.554 3 792.750 713.554 4 588.750 529.817 5 588.750 529.817 C 1 2 3 4 5 P 90,0% 90,0% 90,0% 90,0% 90,0% NDG 685.348 385.570 385.570 299.778 299.778 NDL 1.205.312 657.474 657.474 547.838 547.838 NDD1 828.016 482.863 482.863 345.153 345.153 NDG1 1.062.644 560.181 560.181 502.463 502.463 PG 36,2% 37,0% 37,0% 35,4% 35,4% PL 63,8% 63,0% 63,0% 64,6% 64,6% P1 30,0% 30,5% 30,5% 29,3% 29,3% PX 38,5% 35,3% 35,3% 42,7% 42,7% NDG 685.348 385.570 385.570 299.778 299.778 NDL 558.023 327.984 327.984 230.039 230.039 NDD1 276.282 158.641 158.641 117.641 117.641 NDG1 967.089 554.913 554.913 412.176 412.176 PG 55,1% 54,0% 54,0% 56,6% 56,6% PL 44,9% 46,0% 46,0% 43,4% 43,4% P1 20,0% 20,0% 20,0% 20,0% 20,0% PX 70,0% 70,0% 70,0% 70,0% 70,0% NDL 647.289 329.490 329.490 317.799 317.799 NDD1 551.734 324.222 324.222 227.512 227.512 NDG1 95.555 5.268 5.268 90.287 90.287 PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 39,9% 40,9% 40,9% 38,6% 38,6% PX 6,9% 0,7% 0,7% 15,3% 15,3% temperature values equal to or above base: C NSC NDF NDG 1 1.381.500 647.289 0 2 792.750 329.490 0 3 792.750 329.490 0 4 588.750 317.799 0 5 588.750 317.799 0 C 1 2 3 4 5 P 46,9% 41,6% 41,6% 54,0% 54,0% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,00007 0,00006 0,00006 0,00007 0,00007 TLCB -3,00 4,30 4,30 -3,00 -3,00 DTLCB 613,9 784,1 784,1 613,9 613,9 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00007 0,00006 0,00006 0,00007 0,00007 TLCB -3,00 4,30 4,30 -3,00 -3,00 DTLCB 613,9 784,1 784,1 613,9 613,9 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00004 0,00002 0,00002 0,00004 0,00004 TLCB 39,80 32,30 32,30 39,80 39,80 DTLCB 611,2 758,2 758,2 611,2 611,2 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 62 VCF 4 decimals All temperature values: NSC NDF C 1 2.763.000 109.365 2 1.585.500 43.143 3 1.585.500 43.143 4 1.177.500 66.222 5 1.177.500 66.222 C 1 2 3 4 5 P 4,0% 2,7% 2,7% 5,6% 5,6% temperature values below base: C NSC NDF 1 1.381.500 64.173 2 792.750 29.756 3 792.750 29.756 4 588.750 34.417 5 588.750 34.417 C 1 2 3 4 5 P 4,6% 3,8% 3,8% 5,8% 5,8% NDG 64.173 29.756 29.756 34.417 34.417 NDL 45.192 13.387 13.387 31.805 31.805 NDD1 109.365 43.143 43.143 66.222 66.222 NDG1 0 0 0 0 0 PG 58,7% 69,0% 69,0% 52,0% 52,0% PL 41,3% 31,0% 31,0% 48,0% 48,0% P1 4,0% 2,7% 2,7% 5,6% 5,6% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 64.173 29.756 29.756 34.417 34.417 NDL 0 0 0 0 0 NDD1 64.173 29.756 29.756 34.417 34.417 NDG1 0 0 0 0 0 PG 100,0% 100,0% 100,0% 100,0% 100,0% PL 0,0% 0,0% 0,0% 0,0% 0,0% P1 4,6% 3,8% 3,8% 5,8% 5,8% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 45.192 13.387 13.387 31.805 31.805 NDD1 45.192 13.387 13.387 31.805 31.805 NDG1 0 0 0 0 0 PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 3,3% 1,7% 1,7% 5,4% 5,4% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.381.500 45.192 0 2 792.750 13.387 0 3 792.750 13.387 0 4 588.750 31.805 0 5 588.750 31.805 0 C 1 2 3 4 5 P 3,3% 1,7% 1,7% 5,4% 5,4% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 14,90 14,80 14,80 14,90 14,90 DTLCB 639,8 904,8 904,8 639,8 639,8 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 14,90 14,80 14,80 14,90 14,90 DTLCB 639,8 904,8 904,8 639,8 639,8 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 20,20 24,30 24,30 20,20 20,20 DTLCB 619,3 770,3 770,3 619,3 619,3 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 63 Table 54B – products, 15 °C base temperature – detailed results Comparison grid: Observed temperature: -10 °C to 40 °C, increment 0,1 °C Base density @ 15 °C: 611,2 kg/m³ to 1,163.9 kg/m³, increment 0,1 kg/m³ Quantity compared: Volume correction factor observed to base (5 & 4 decimals rounding) Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 64 Results ASTM D1250-80 standard rounding VCF 5 decimals All temperature values: NSC NDF C 1 2.763.500 1.663.958 2 2.112.500 1.288.120 3 422.500 252.598 4 651.000 375.838 5 130.000 74.563 C 1 2 3 4 5 P 60,2% 61,0% 59,8% 57,7% 57,4% temperature values below base: C NSC NDF 1 1.381.750 1.246.427 2 1.056.250 953.296 3 211.250 190.794 4 325.500 293.131 5 65.000 58.539 C 1 2 3 4 5 P 90,2% 90,3% 90,3% 90,1% 90,1% NDG 707.344 544.822 102.416 162.522 30.256 NDL 956.614 743.298 150.182 213.316 44.307 NDD1 592.595 463.308 95.088 129.287 28.164 NDG1 1.071.363 824.812 157.510 246.551 46.399 PG 42,5% 42,3% 40,5% 43,2% 40,6% PL 57,5% 57,7% 59,5% 56,8% 59,4% P1 21,4% 21,9% 22,5% 19,9% 21,7% PX 38,8% 39,0% 37,3% 37,9% 35,7% NDG 662.302 510.885 102.416 151.417 30.256 NDL 584.125 442.411 88.378 141.714 28.283 NDD1 271.644 206.751 41.251 64.893 12.988 NDG1 974.783 746.545 149.543 228.238 45.551 PG 53,1% 53,6% 53,7% 51,7% 51,7% PL 46,9% 46,4% 46,3% 48,3% 48,3% P1 19,7% 19,6% 19,5% 19,9% 20,0% PX 70,5% 70,7% 70,8% 70,1% 70,1% NDL 372.489 300.887 61.804 71.602 16.024 NDD1 320.951 256.557 53.837 64.394 15.176 NDG1 96.580 78.267 7.967 18.313 848 PL 89,2% 89,9% 100,0% 86,6% 100,0% P1 23,2% 24,3% 25,5% 19,8% 23,3% PX 7,0% 7,4% 3,8% 5,6% 1,3% temperature values equal to or above base: C NSC NDF NDG 1 1.381.750 417.531 45.042 2 1.056.250 334.824 33.937 3 211.250 61.804 0 4 325.500 82.707 11.105 5 65.000 16.024 0 C 1 2 3 4 5 P 30,2% 31,7% 29,3% 25,4% 24,7% PG 10,8% 10,1% 0,0% 13,4% 0,0% MAXD 0,00022 0,00022 0,00016 0,00008 0,00006 TLCB -9,20 -9,20 -8,10 -9,00 0,00 DTLCB 771,3 771,3 771,0 611,3 620,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00022 0,00022 0,00016 0,00008 0,00006 TLCB -9,20 -9,20 -8,10 -9,00 0,00 DTLCB 771,3 771,3 771,0 611,3 620,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00019 0,00019 0,00013 0,00004 0,00002 TLCB 39,90 39,90 39,40 36,20 32,90 DTLCB 771,3 771,3 771,5 612,8 612,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 65 VCF 4 decimals All temperature values: NSC NDF C 1 2.763.500 107.365 2 2.112.500 91.998 3 422.500 15.259 4 651.000 15.367 5 130.000 1.872 C 1 2 3 4 5 P 3,9% 4,4% 3,6% 2,4% 1,4% temperature values below base: C NSC NDF 1 1.381.750 61.180 2 1.056.250 52.024 3 211.250 8.362 4 325.500 9.156 5 65.000 1.001 C 1 2 3 4 5 P 4,4% 4,9% 4,0% 2,8% 1,5% NDG 53.715 46.495 8.361 7.220 1.001 NDL 53.650 45.503 6.898 8.147 871 NDD1 103.915 88.548 15.158 15.367 1.872 NDG1 3.450 3.450 101 0 0 PG 50,0% 50,5% 54,8% 47,0% 53,5% PL 50,0% 49,5% 45,2% 53,0% 46,5% P1 3,8% 4,2% 3,6% 2,4% 1,4% PX 0,1% 0,2% 0,0% 0,0% 0,0% NDG 53.621 46.485 8.361 7.136 1.001 NDL 7.559 5.539 1 2.020 0 NDD1 59.652 50.496 8.334 9.156 1.001 NDG1 1.528 1.528 28 0 0 PG 87,6% 89,4% 100,0% 77,9% 100,0% PL 12,4% 10,6% 0,0% 22,1% 0,0% P1 4,3% 4,8% 3,9% 2,8% 1,5% PX 0,1% 0,1% 0,0% 0,0% 0,0% NDL 46.091 39.964 6.897 6.127 871 NDD1 44.263 38.052 6.824 6.211 871 NDG1 1.922 1.922 73 0 0 PL 99,8% 100,0% 100,0% 98,6% 100,0% P1 3,2% 3,6% 3,2% 1,9% 1,3% PX 0,1% 0,2% 0,0% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.381.750 46.185 94 2 1.056.250 39.974 10 3 211.250 6.897 0 4 325.500 6.211 84 5 65.000 871 0 C 1 2 3 4 5 P 3,3% 3,8% 3,3% 1,9% 1,3% PG 0,2% 0,0% 0,0% 1,4% 0,0% MAXD 0,0002 0,0002 0,0002 0,0001 0,0001 TLCB 29,10 29,10 36,30 14,90 14,60 DTLCB 771,3 771,3 771,5 648,7 616,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0002 0,0002 0,0002 0,0001 0,0001 TLCB 0,60 0,60 -7,30 14,90 14,60 DTLCB 771,8 771,8 771,0 648,7 616,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0002 0,0002 0,0002 0,0001 0,0001 TLCB 29,10 29,10 36,30 19,40 25,00 DTLCB 771,3 771,3 771,5 622,3 615,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 66 Results ASTM D1250-80 with “German rounding” (Input data) VCF 5 decimals All temperature values: NSC NDF C 1 2.763.500 1.639.380 2 2.110.500 1.263.984 3 2.110.500 1.263.984 4 653.000 375.396 5 653.000 375.396 C 1 2 3 4 5 P 59,3% 59,9% 59,9% 57,5% 57,5% temperature values below base: C NSC NDF 1 1.381.750 1.246.818 2 1.055.250 952.787 3 1.055.250 952.787 4 326.500 294.031 5 326.500 294.031 C 1 2 3 4 5 P 90,2% 90,3% 90,3% 90,1% 90,1% NDG 663.577 511.607 511.607 151.970 151.970 NDL 975.803 752.377 752.377 223.426 223.426 NDD1 619.236 477.197 477.197 142.039 142.039 NDG1 1.020.144 786.787 786.787 233.357 233.357 PG 40,5% 40,5% 40,5% 40,5% 40,5% PL 59,5% 59,5% 59,5% 59,5% 59,5% P1 22,4% 22,6% 22,6% 21,8% 21,8% PX 36,9% 37,3% 37,3% 35,7% 35,7% NDG 663.577 511.607 511.607 151.970 151.970 NDL 583.241 441.180 441.180 142.061 142.061 NDD1 270.923 205.833 205.833 65.090 65.090 NDG1 975.895 746.954 746.954 228.941 228.941 PG 53,2% 53,7% 53,7% 51,7% 51,7% PL 46,8% 46,3% 46,3% 48,3% 48,3% P1 19,6% 19,5% 19,5% 19,9% 19,9% PX 70,6% 70,8% 70,8% 70,1% 70,1% NDL 392.562 311.197 311.197 81.365 81.365 NDD1 348.313 271.364 271.364 76.949 76.949 NDG1 44.249 39.833 39.833 4.416 4.416 PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 25,2% 25,7% 25,7% 23,6% 23,6% PX 3,2% 3,8% 3,8% 1,4% 1,4% temperature values equal to or above base: C NSC NDF NDG 1 1.381.750 392.562 0 2 1.055.250 311.197 0 3 1.055.250 311.197 0 4 326.500 81.365 0 5 326.500 81.365 0 C 1 2 3 4 5 P 28,4% 29,5% 29,5% 24,9% 24,9% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,00016 0,00016 0,00016 0,00006 0,00006 TLCB -7,90 -7,90 -7,90 0,00 0,00 DTLCB 770,9 770,9 770,9 620,0 620,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00016 0,00016 0,00016 0,00006 0,00006 TLCB -7,90 -7,90 -7,90 0,00 0,00 DTLCB 770,9 770,9 770,9 620,0 620,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00013 0,00013 0,00013 0,00002 0,00002 TLCB 39,30 39,30 39,30 32,50 32,50 DTLCB 771,1 771,1 771,1 617,3 617,3 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 67 VCF 4 decimals All temperature values: NSC C 1 2.763.500 2 2.110.500 3 2.110.500 4 653.000 5 653.000 C 1 2 3 4 5 NDF 86.787 77.115 77.115 9.672 9.672 NDG 47.709 42.487 42.487 5.222 5.222 NDL 39.078 34.628 34.628 4.450 4.450 NDD1 86.240 76.568 76.568 9.672 9.672 NDG1 547 547 547 0 0 P 3,1% 3,7% 3,7% 1,5% 1,5% PG 55,0% 55,1% 55,1% 54,0% 54,0% PL 45,0% 44,9% 44,9% 46,0% 46,0% P1 3,1% 3,6% 3,6% 1,5% 1,5% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 47.709 42.487 42.487 5.222 5.222 NDL 1 1 1 0 0 NDD1 47.547 42.325 42.325 5.222 5.222 NDG1 163 163 163 0 0 PG 100,0% 100,0% 100,0% 100,0% 100,0% PL 0,0% 0,0% 0,0% 0,0% 0,0% P1 3,4% 4,0% 4,0% 1,6% 1,6% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 39.077 34.627 34.627 4.450 4.450 NDD1 38.693 34.243 34.243 4.450 4.450 NDG1 384 384 384 0 0 PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 2,8% 3,2% 3,2% 1,4% 1,4% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 1.381.750 47.710 2 1.055.250 42.488 3 1.055.250 42.488 4 326.500 5.222 5 326.500 5.222 C 1 2 3 4 5 P 3,5% 4,0% 4,0% 1,6% 1,6% temperature values equal to or above base: C NSC NDF NDG 1 1.381.750 39.077 0 2 1.055.250 34.627 0 3 1.055.250 34.627 0 4 326.500 4.450 0 5 326.500 4.450 0 C 1 2 3 4 5 P 2,8% 3,3% 3,3% 1,4% 1,4% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,0002 0,0002 0,0002 0,0001 0,0001 TLCB 35,60 35,60 35,60 14,90 14,90 DTLCB 772,7 772,7 772,7 648,6 648,6 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0002 0,0002 0,0002 0,0001 0,0001 TLCB -7,10 -7,10 -7,10 14,90 14,90 DTLCB 770,9 770,9 770,9 648,6 648,6 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0002 0,0002 0,0002 0,0001 0,0001 TLCB 35,60 35,60 35,60 24,80 24,80 DTLCB 772,7 772,7 772,7 614,8 614,8 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 68 Table 54D – lubricants, 15 °C base temperature – detailed results Comparison grid: Observed temperature: -10 °C to 40 °C, increment 0,1 °C Base density @ 15 °C: 801,3 kg/m³ to 1.163,9 kg/m³, increment 0,1 kg/m³ Quantity compared: Volume correction factor observed to base (5 & 4 decimals rounding) Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 69 Results ASTM D1250-80 standard rounding VCF 5 decimals All temperature values: NSC NDF C 1 1.813.000 919.783 2 1.813.000 919.783 3 362.500 172.486 4 0 0 5 0 0 NDG 439.017 439.017 82.045 0 0 NDL 480.766 480.766 90.441 0 0 NDD1 283.857 283.857 45.329 0 0 NDG1 635.926 635.926 127.157 0 0 PG 47,7% 47,7% 47,6% 0,0% 0,0% PL 52,3% 52,3% 52,4% 0,0% 0,0% P1 15,7% 15,7% 12,5% 0,0% 0,0% PX 35,1% 35,1% 35,1% 0,0% 0,0% NDG 409.096 409.096 81.787 0 0 NDL 407.401 407.401 81.466 0 0 NDD1 180.571 180.571 36.096 0 0 NDG1 635.926 635.926 127.157 0 0 PG 50,1% 50,1% 50,1% 0,0% 0,0% PL 49,9% 49,9% 49,9% 0,0% 0,0% P1 19,9% 19,9% 19,9% 0,0% 0,0% PX 70,2% 70,2% 70,2% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 906.500 103.286 29.921 2 906.500 103.286 29.921 3 181.250 9.233 258 4 0 0 0 5 0 0 0 NDL 73.365 73.365 8.975 0 0 NDD1 103.286 103.286 9.233 0 0 NDG1 0 0 0 0 0 PL 71,0% 71,0% 97,2% 0,0% 0,0% P1 11,4% 11,4% 5,1% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 P 50,7% 50,7% 47,6% 0,0% 0,0% temperature values below base: C NSC NDF 1 906.500 816.497 2 906.500 816.497 3 181.250 163.253 4 0 0 5 0 0 C 1 2 3 4 5 C 1 2 3 4 5 P 90,1% 90,1% 90,1% 0,0% 0,0% P 11,4% 11,4% 5,1% 0,0% 0,0% PG 29,0% 29,0% 2,8% 0,0% 0,0% MAXD 0,00006 0,00006 0,00005 0,00000 0,00000 TLCB -6,70 -6,70 14,90 0,00 0,00 DTLCB 814,2 814,2 1.142,0 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00006 0,00006 0,00005 0,00000 0,00000 TLCB -6,70 -6,70 14,90 0,00 0,00 DTLCB 814,2 814,2 1.142,0 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00001 0,00001 0,00001 0,00000 0,00000 TLCB 15,10 15,10 15,10 0,00 0,00 DTLCB 837,1 837,1 1141,5 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 70 VCF 4 decimals All temperature values: NSC C 1 1.813.000 2 1.813.000 3 362.500 4 0 5 0 NDF 9.903 9.903 647 0 0 NDG 5.753 5.753 468 0 0 NDL 4.150 4.150 179 0 0 NDD1 9.903 9.903 647 0 0 NDG1 0 0 0 0 0 P 0,5% 0,5% 0,2% 0,0% 0,0% PG 58,1% 58,1% 72,3% 0,0% 0,0% PL 41,9% 41,9% 27,7% 0,0% 0,0% P1 0,5% 0,5% 0,2% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 906.500 9.870 2 906.500 9.870 3 181.250 647 4 0 0 5 0 0 NDG 5.753 5.753 468 0 0 NDL 4.117 4.117 179 0 0 NDD1 9.870 9.870 647 0 0 NDG1 0 0 0 0 0 P 1,1% 1,1% 0,4% 0,0% 0,0% PG 58,3% 58,3% 72,3% 0,0% 0,0% PL 41,7% 41,7% 27,7% 0,0% 0,0% P1 1,1% 1,1% 0,4% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 33 33 0 0 0 NDD1 33 33 0 0 0 NDG1 0 0 0 0 0 PL 100,0% 100,0% 0,0% 0,0% 0,0% P1 0,0% 0,0% 0,0% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 C 1 2 3 4 5 temperature values equal to or above base: C NSC NDF NDG 1 906.500 33 0 2 906.500 33 0 3 181.250 0 0 4 0 0 0 5 0 0 0 C 1 2 3 4 5 P 0,0% 0,0% 0,0% 0,0% 0,0% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,0001 0,0001 0,0001 0,0000 0,0000 TLCB 14,80 14,80 14,40 0,00 0,00 DTLCB 837,1 837,1 837,0 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0000 0,0000 TLCB 14,80 14,80 14,40 0,00 0,00 DTLCB 837,1 837,1 837,0 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0000 0,0000 0,0000 TLCB 35,40 35,40 0,00 0,00 0,00 DTLCB 821,8 821,8 0,0 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 71 Results ASTM D1250-80 with “German rounding” (Input data): VCF 5 decimals All temperature values: NSC NDF C 1 1.813.000 863.642 2 1.813.000 863.642 3 1.813.000 863.642 4 0 0 5 0 0 NDG 410.508 410.508 410.508 0 0 NDL 453.134 453.134 453.134 0 0 NDD1 227.716 227.716 227.716 0 0 NDG1 635.926 635.926 635.926 0 0 PG 47,5% 47,5% 47,5% 0,0% 0,0% PL 52,5% 52,5% 52,5% 0,0% 0,0% P1 12,6% 12,6% 12,6% 0,0% 0,0% PX 35,1% 35,1% 35,1% 0,0% 0,0% NDG 409.193 409.193 409.193 0 0 NDL 407.304 407.304 407.304 0 0 NDD1 180.571 180.571 180.571 0 0 NDG1 635.926 635.926 635.926 0 0 PG 50,1% 50,1% 50,1% 0,0% 0,0% PL 49,9% 49,9% 49,9% 0,0% 0,0% P1 19,9% 19,9% 19,9% 0,0% 0,0% PX 70,2% 70,2% 70,2% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 906.500 47.145 1.315 2 906.500 47.145 1.315 3 906.500 47.145 1.315 4 0 0 0 5 0 0 0 NDL 45.830 45.830 45.830 0 0 NDD1 47.145 47.145 47.145 0 0 NDG1 0 0 0 0 0 PL 97,2% 97,2% 97,2% 0,0% 0,0% P1 5,2% 5,2% 5,2% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 P 47,6% 47,6% 47,6% 0,0% 0,0% temperature values below base: C NSC NDF 1 906.500 816.497 2 906.500 816.497 3 906.500 816.497 4 0 0 5 0 0 C 1 2 3 4 5 C 1 2 3 4 5 P 90,1% 90,1% 90,1% 0,0% 0,0% P 5,2% 5,2% 5,2% 0,0% 0,0% PG 2,8% 2,8% 2,8% 0,0% 0,0% MAXD 0,00005 0,00005 0,00005 0,00000 0,00000 TLCB 14,90 14,90 14,90 0,00 0,00 DTLCB 1.141,6 1.141,6 1.141,6 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00005 0,00005 0,00005 0,00000 0,00000 TLCB 14,90 14,90 14,90 0,00 0,00 DTLCB 1.141,6 1.141,6 1.141,6 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00001 0,00001 0,00001 0,00000 0,00000 TLCB 15,10 15,10 15,10 0,00 0,00 DTLCB 965,8 965,8 965,8 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 72 VCF 4 decimals All temperature values: NSC C 1 1.813.000 2 1.813.000 3 1.813.000 4 0 5 0 NDF 3.353 3.353 3.353 0 0 NDG 2.543 2.543 2.543 0 0 NDL 810 810 810 0 0 NDD1 3.353 3.353 3.353 0 0 NDG1 0 0 0 0 0 P 0,2% 0,2% 0,2% 0,0% 0,0% PG 75,8% 75,8% 75,8% 0,0% 0,0% PL 24,2% 24,2% 24,2% 0,0% 0,0% P1 0,2% 0,2% 0,2% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 906.500 3.353 2 906.500 3.353 3 906.500 3.353 4 0 0 5 0 0 NDG 2.543 2.543 2.543 0 0 NDL 810 810 810 0 0 NDD1 3.353 3.353 3.353 0 0 NDG1 0 0 0 0 0 P 0,4% 0,4% 0,4% 0,0% 0,0% PG 75,8% 75,8% 75,8% 0,0% 0,0% PL 24,2% 24,2% 24,2% 0,0% 0,0% P1 0,4% 0,4% 0,4% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 0 0 0 0 0 NDD1 0 0 0 0 0 NDG1 0 0 0 0 0 PL 0,0% 0,0% 0,0% 0,0% 0,0% P1 0,0% 0,0% 0,0% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 C 1 2 3 4 5 temperature values equal to or above base: C NSC NDF NDG 1 906.500 0 0 2 906.500 0 0 3 906.500 0 0 4 0 0 0 5 0 0 0 C 1 2 3 4 5 P 0,0% 0,0% 0,0% 0,0% 0,0% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,0001 0,0001 0,0001 0,0000 0,0000 TLCB 14,60 14,60 14,60 0,00 0,00 DTLCB 1.004,4 1.004,4 1.004,4 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0000 0,0000 TLCB 14,60 14,60 14,60 0,00 0,00 DTLCB 1.004,4 1.004,4 1.004,4 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0000 0,0000 0,0000 0,0000 0,0000 TLCB 0,00 0,00 0,00 0,00 0,00 DTLCB 0,0 0,0 0,0 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 73 Table 60A – crude oil, 20 °C base temperature – detailed results Comparison grid: Observed temperature: -5 °C to 45 °C, increment 0,1 °C Base density @ 20 °C: 606,1 kg/m³ to 1.161,2 kg/m³, increment 0,1 kg/m³ Quantity compared: Volume correction factor observed to base (5 & 4 decimals rounding) Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 74 Results ASTM D1250-80 standard rounding VCF 5 decimals All temperature values: NSC NDF C 1 2.775.000 1.840.462 2 1.592.500 1.029.658 3 318.500 210.964 4 1.182.500 810.804 5 236.500 170.872 C 1 2 3 4 5 P 66,3% 64,7% 66,2% 68,6% 72,3% temperature values below base: C NSC NDF 1 1.387.500 1.248.630 2 796.250 716.608 3 159.250 143.312 4 591.250 532.022 5 118.250 106.342 C 1 2 3 4 5 P 90,0% 90,0% 90,0% 90,0% 89,9% NDG 699.810 392.934 77.724 306.876 60.565 NDL 1.140.652 636.724 133.240 503.928 110.307 NDD1 724.453 432.131 97.760 292.322 67.999 NDG1 1.116.009 597.527 113.204 518.482 102.873 PG 38,0% 38,2% 36,8% 37,8% 35,4% PL 62,0% 61,8% 63,2% 62,2% 64,6% P1 26,1% 27,1% 30,7% 24,7% 28,8% PX 40,2% 37,5% 35,5% 43,8% 43,5% NDG 691.706 388.572 77.724 303.134 60.565 NDL 556.924 328.036 65.588 228.888 45.777 NDD1 277.128 159.337 31.801 117.791 23.503 NDG1 971.502 557.271 111.511 414.231 82.839 PG 55,4% 54,2% 54,2% 57,0% 57,0% PL 44,6% 45,8% 45,8% 43,0% 43,0% P1 20,0% 20,0% 20,0% 19,9% 19,9% PX 70,0% 70,0% 70,0% 70,1% 70,1% NDL 583.728 308.688 67.652 275.040 64.530 NDD1 447.325 272.794 65.959 174.531 44.496 NDG1 144.507 40.256 1.693 104.251 20.034 PL 98,6% 98,6% 100,0% 98,7% 100,0% P1 32,2% 34,3% 41,4% 29,5% 37,6% PX 10,4% 5,1% 1,1% 17,6% 16,9% temperature values equal to or above base: C NSC NDF NDG 1 1.387.500 591.832 8.104 2 796.250 313.050 4.362 3 159.250 67.652 0 4 591.250 278.782 3.742 5 118.250 64.530 0 C 1 2 3 4 5 P 42,7% 39,3% 42,5% 47,2% 54,6% PG 1,4% 1,4% 0,0% 1,3% 0,0% MAXD 0,00010 0,00008 0,00006 0,00010 0,00008 TLCB -2,00 -3,30 11,10 -2,00 -2,20 DTLCB 615,3 754,8 754,5 615,3 616,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00010 0,00008 0,00006 0,00010 0,00008 TLCB -2,00 -3,30 11,10 -2,00 -2,20 DTLCB 615,3 754,8 754,5 615,3 616,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00007 0,00004 0,00002 0,00007 0,00004 TLCB 44,20 43,30 34,90 44,20 41,30 DTLCB 616,3 753,8 754,0 616,3 615,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 75 VCF 4 decimals All temperature values: NSC NDF C 1 2.775.000 129.167 2 1.592.500 54.382 3 318.500 9.145 4 1.182.500 74.785 5 236.500 14.083 C 1 2 3 4 5 P 4,7% 3,4% 2,9% 6,3% 6,0% temperature values below base: C NSC NDF 1 1.387.500 71.489 2 796.250 32.682 3 159.250 6.175 4 591.250 38.807 5 118.250 7.248 C 1 2 3 4 5 P 5,2% 4,1% 3,9% 6,6% 6,1% NDG 69.675 31.939 6.175 37.736 7.248 NDL 59.492 22.443 2.970 37.049 6.835 NDD1 129.167 54.382 9.145 74.785 14.083 NDG1 0 0 0 0 0 PG 53,9% 58,7% 67,5% 50,5% 51,5% PL 46,1% 41,3% 32,5% 49,5% 48,5% P1 4,7% 3,4% 2,9% 6,3% 6,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 69.675 31.939 6.175 37.736 7.248 NDL 1.814 743 0 1.071 0 NDD1 71.489 32.682 6.175 38.807 7.248 NDG1 0 0 0 0 0 PG 97,5% 97,7% 100,0% 97,2% 100,0% PL 2,5% 2,3% 0,0% 2,8% 0,0% P1 5,2% 4,1% 3,9% 6,6% 6,1% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 57.678 21.700 2.970 35.978 6.835 NDD1 57.678 21.700 2.970 35.978 6.835 NDG1 0 0 0 0 0 PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 4,2% 2,7% 1,9% 6,1% 5,8% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.387.500 57.678 0 2 796.250 21.700 0 3 159.250 2.970 0 4 591.250 35.978 0 5 118.250 6.835 0 C 1 2 3 4 5 P 4,2% 2,7% 1,9% 6,1% 5,8% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 19,90 19,60 19,60 19,90 19,80 DTLCB 638,8 836,8 837,0 638,8 700,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 19,90 19,60 19,60 19,90 19,80 DTLCB 638,8 836,8 837,0 638,8 700,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 22,20 24,60 28,40 22,20 24,60 DTLCB 616,3 754,8 755,0 616,3 615,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 76 Results ASTM D1250-80 with “German rounding” (Input data) VCF 5 decimals All temperature values: NSC NDF C 1 2.775.000 1.910.121 2 1.591.500 1.053.481 3 1.591.500 1.053.481 4 1.183.500 856.640 5 1.183.500 856.640 C 1 2 3 4 5 P 68,8% 66,2% 66,2% 72,4% 72,4% temperature values below base: C NSC NDF 1 1.387.500 1.248.613 2 795.750 716.155 3 795.750 716.155 4 591.750 532.458 5 591.750 532.458 C 1 2 3 4 5 P 90,0% 90,0% 90,0% 90,0% 90,0% NDG 691.905 388.213 388.213 303.692 303.692 NDL 1.218.216 665.268 665.268 552.948 552.948 NDD1 829.720 488.135 488.135 341.585 341.585 NDG1 1.080.401 565.346 565.346 515.055 515.055 PG 36,2% 36,9% 36,9% 35,5% 35,5% PL 63,8% 63,1% 63,1% 64,5% 64,5% P1 29,9% 30,7% 30,7% 28,9% 28,9% PX 38,9% 35,5% 35,5% 43,5% 43,5% NDG 691.905 388.213 388.213 303.692 303.692 NDL 556.708 327.942 327.942 228.766 228.766 NDD1 277.426 159.235 159.235 118.191 118.191 NDG1 971.187 556.920 556.920 414.267 414.267 PG 55,4% 54,2% 54,2% 57,0% 57,0% PL 44,6% 45,8% 45,8% 43,0% 43,0% P1 20,0% 20,0% 20,0% 20,0% 20,0% PX 70,0% 70,0% 70,0% 70,0% 70,0% NDL 661.508 337.326 337.326 324.182 324.182 NDD1 552.294 328.900 328.900 223.394 223.394 NDG1 109.214 8.426 8.426 100.788 100.788 PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 39,8% 41,3% 41,3% 37,8% 37,8% PX 7,9% 1,1% 1,1% 17,0% 17,0% temperature values equal to or above base: C NSC NDF NDG 1 1.387.500 661.508 0 2 795.750 337.326 0 3 795.750 337.326 0 4 591.750 324.182 0 5 591.750 324.182 0 C 1 2 3 4 5 P 47,7% 42,4% 42,4% 54,8% 54,8% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,00008 0,00006 0,00006 0,00008 0,00008 TLCB -2,20 12,60 12,60 -2,20 -2,20 DTLCB 616,5 754,2 754,2 616,5 616,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00008 0,00006 0,00006 0,00008 0,00008 TLCB -2,20 12,60 12,60 -2,20 -2,20 DTLCB 616,5 754,2 754,2 616,5 616,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00004 0,00002 0,00002 0,00004 0,00004 TLCB 40,80 34,60 34,60 40,80 40,80 DTLCB 616,3 754,1 754,1 616,3 616,3 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 77 VCF 4 decimals All temperature values: NSC NDF C 1 2.775.000 116.946 2 1.591.500 45.658 3 1.591.500 45.658 4 1.183.500 71.288 5 1.183.500 71.288 C 1 2 3 4 5 P 4,2% 2,9% 2,9% 6,0% 6,0% temperature values below base: C NSC NDF 1 1.387.500 68.060 2 795.750 31.064 3 795.750 31.064 4 591.750 36.996 5 591.750 36.996 C 1 2 3 4 5 P 4,9% 3,9% 3,9% 6,3% 6,3% NDG 68.060 31.064 31.064 36.996 36.996 NDL 48.886 14.594 14.594 34.292 34.292 NDD1 116.946 45.658 45.658 71.288 71.288 NDG1 0 0 0 0 0 PG 58,2% 68,0% 68,0% 51,9% 51,9% PL 41,8% 32,0% 32,0% 48,1% 48,1% P1 4,2% 2,9% 2,9% 6,0% 6,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 68.060 31.064 31.064 36.996 36.996 NDL 0 0 0 0 0 NDD1 68.060 31.064 31.064 36.996 36.996 NDG1 0 0 0 0 0 PG 100,0% 100,0% 100,0% 100,0% 100,0% PL 0,0% 0,0% 0,0% 0,0% 0,0% P1 4,9% 3,9% 3,9% 6,3% 6,3% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 48.886 14.594 14.594 34.292 34.292 NDD1 48.886 14.594 14.594 34.292 34.292 NDG1 0 0 0 0 0 PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 3,5% 1,8% 1,8% 5,8% 5,8% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.387.500 48.886 0 2 795.750 14.594 0 3 795.750 14.594 0 4 591.750 34.292 0 5 591.750 34.292 0 C 1 2 3 4 5 P 3,5% 1,8% 1,8% 5,8% 5,8% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 19,90 19,80 19,80 19,90 19,90 DTLCB 638,8 904,1 904,1 638,8 638,8 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 19,90 19,80 19,80 19,90 19,90 DTLCB 638,8 904,1 904,1 638,8 638,8 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0001 0,0001 TLCB 24,60 28,10 28,10 24,60 24,60 DTLCB 611,4 771,8 771,8 611,4 611,4 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 78 Table 60B – products, 20 °C base temperature – detailed results Comparison grid: Observed temperature: -5 °C to 45 °C, increment 0,1 °C Base density @ 20 °C: 611,2 kg/m³ to 1.160,6 kg/m³, increment 0,1 kg/m³ Quantity compared: Volume correction factor observed to base (5 & 4 decimals rounding) Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 79 Results ASTM D1250-80 standard rounding VCF 5 decimals All temperature values: NSC NDF C 1 2.772.500 1.685.388 2 2.117.500 1.303.126 3 423.500 256.917 4 655.000 382.262 5 131.000 76.830 C 1 2 3 4 5 P 60,8% 61,5% 60,7% 58,4% 58,6% temperature values below base: C NSC NDF 1 1.386.250 1.250.519 2 1.058.750 955.576 3 211.750 191.253 4 327.500 294.943 5 65.500 58.997 C 1 2 3 4 5 P 90,2% 90,3% 90,3% 90,1% 90,1% NDG 710.190 547.416 103.311 162.774 30.688 NDL 975.198 755.710 153.606 219.488 46.142 NDD1 600.659 469.381 97.700 131.278 29.006 NDG1 1.084.729 833.745 159.217 250.984 47.824 PG 42,1% 42,0% 40,2% 42,6% 39,9% PL 57,9% 58,0% 59,8% 57,4% 60,1% P1 21,7% 22,2% 23,1% 20,0% 22,1% PX 39,1% 39,4% 37,6% 38,3% 36,5% NDG 668.703 515.150 103.307 153.553 30.688 NDL 581.816 440.426 87.946 141.390 28.309 NDD1 272.154 206.996 41.467 65.158 13.058 NDG1 978.365 748.580 149.786 229.785 45.939 PG 53,5% 53,9% 54,0% 52,1% 52,0% PL 46,5% 46,1% 46,0% 47,9% 48,0% P1 19,6% 19,6% 19,6% 19,9% 19,9% PX 70,6% 70,7% 70,7% 70,2% 70,1% NDL 393.382 315.284 65.660 78.098 17.833 NDD1 328.505 262.385 56.233 66.120 15.948 NDG1 106.364 85.165 9.431 21.199 1.885 PL 90,5% 90,7% 100,0% 89,4% 100,0% P1 23,7% 24,8% 26,6% 20,2% 24,3% PX 7,7% 8,0% 4,5% 6,5% 2,9% temperature values equal to or above base: C NSC NDF NDG 1 1.386.250 434.869 41.487 2 1.058.750 347.550 32.266 3 211.750 65.664 4 4 327.500 87.319 9.221 5 65.500 17.833 0 C 1 2 3 4 5 P 31,4% 32,8% 31,0% 26,7% 27,2% PG 9,5% 9,3% 0,0% 10,6% 0,0% MAXD 0,00023 0,00023 0,00017 0,00008 0,00006 TLCB -5,00 -5,00 -2,80 -1,00 10,40 DTLCB 767,8 767,8 768,5 647,8 626,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00023 0,00023 0,00017 0,00008 0,00006 TLCB -5,00 -5,00 -2,80 -1,00 10,40 DTLCB 767,8 767,8 768,5 647,8 626,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00019 0,00019 0,00013 0,00004 0,00002 TLCB 44,20 44,20 43,20 39,50 34,70 DTLCB 768,3 768,3 768,5 622,8 625,5 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 80 VCF 4 decimals All temperature values: NSC NDF C 1 2.772.500 113.914 2 2.117.500 96.987 3 423.500 16.636 4 655.000 16.927 5 131.000 2.423 C 1 2 3 4 5 P 4,1% 4,6% 3,9% 2,6% 1,8% temperature values below base: C NSC NDF 1 1.386.250 64.614 2 1.058.750 54.673 3 211.750 9.135 4 327.500 9.941 5 65.500 1.313 C 1 2 3 4 5 P 4,7% 5,2% 4,3% 3,0% 2,0% NDG 58.040 49.708 9.124 8.332 1.313 NDL 55.874 47.279 7.512 8.595 1.110 NDD1 110.744 93.817 16.513 16.927 2.423 NDG1 3.170 3.170 123 0 0 PG 51,0% 51,3% 54,8% 49,2% 54,2% PL 49,0% 48,7% 45,2% 50,8% 45,8% P1 4,0% 4,4% 3,9% 2,6% 1,8% PX 0,1% 0,1% 0,0% 0,0% 0,0% NDG 57.823 49.621 9.124 8.202 1.313 NDL 6.791 5.052 11 1.739 0 NDD1 63.161 53.220 9.093 9.941 1.313 NDG1 1.453 1.453 42 0 0 PG 89,5% 90,8% 99,9% 82,5% 100,0% PL 10,5% 9,2% 0,1% 17,5% 0,0% P1 4,6% 5,0% 4,3% 3,0% 2,0% PX 0,1% 0,1% 0,0% 0,0% 0,0% NDL 49.083 42.227 7.501 6.856 1.110 NDD1 47.583 40.597 7.420 6.986 1.110 NDG1 1.717 1.717 81 0 0 PL 99,6% 99,8% 100,0% 98,1% 100,0% P1 3,4% 3,8% 3,5% 2,1% 1,7% PX 0,1% 0,2% 0,0% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 1.386.250 49.300 217 2 1.058.750 42.314 87 3 211.750 7.501 0 4 327.500 6.986 130 5 65.500 1.110 0 C 1 2 3 4 5 P 3,6% 4,0% 3,5% 2,1% 1,7% PG 0,4% 0,2% 0,0% 1,9% 0,0% MAXD 0,0002 0,0002 0,0002 0,0001 0,0001 TLCB 6,40 6,40 40,20 19,60 19,00 DTLCB 768,3 768,3 768,5 616,2 610,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0002 0,0002 0,0002 0,0001 0,0001 TLCB 6,40 6,40 -0,90 19,60 19,00 DTLCB 768,3 768,3 768,0 616,2 610,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0002 0,0002 0,0002 0,0001 0,0001 TLCB 34,00 34,00 40,20 24,40 28,90 DTLCB 773,3 773,3 768,5 611,3 644,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 81 Results ASTM D1250-80 with “German rounding” (Input data) VCF 5 decimals All temperature values: NSC NDF C 1 2.772.500 1.667.377 2 2.118.500 1.284.329 3 2.118.500 1.284.329 4 654.000 383.048 5 654.000 383.048 C 1 2 3 4 5 P 60,1% 60,6% 60,6% 58,6% 58,6% temperature values below base: C NSC NDF 1 1.386.250 1.250.793 2 1.059.250 956.267 3 1.059.250 956.267 4 327.000 294.526 5 327.000 294.526 C 1 2 3 4 5 P 90,2% 90,3% 90,3% 90,1% 90,1% NDG 669.553 516.159 516.159 153.394 153.394 NDL 997.824 768.170 768.170 229.654 229.654 NDD1 632.023 487.485 487.485 144.538 144.538 NDG1 1.035.354 796.844 796.844 238.510 238.510 PG 40,2% 40,2% 40,2% 40,0% 40,0% PL 59,8% 59,8% 59,8% 60,0% 60,0% P1 22,8% 23,0% 23,0% 22,1% 22,1% PX 37,3% 37,6% 37,6% 36,5% 36,5% NDG 669.538 516.146 516.146 153.392 153.392 NDL 581.255 440.121 440.121 141.134 141.134 NDD1 271.671 206.598 206.598 65.073 65.073 NDG1 979.122 749.669 749.669 229.453 229.453 PG 53,5% 54,0% 54,0% 52,1% 52,1% PL 46,5% 46,0% 46,0% 47,9% 47,9% P1 19,6% 19,5% 19,5% 19,9% 19,9% PX 70,6% 70,8% 70,8% 70,2% 70,2% NDL 416.569 328.049 328.049 88.520 88.520 NDD1 360.352 280.887 280.887 79.465 79.465 NDG1 56.232 47.175 47.175 9.057 9.057 PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 26,0% 26,5% 26,5% 24,3% 24,3% PX 4,1% 4,5% 4,5% 2,8% 2,8% temperature values equal to or above base: C NSC NDF NDG 1 1.386.250 416.584 15 2 1.059.250 328.062 13 3 1.059.250 328.062 13 4 327.000 88.522 2 5 327.000 88.522 2 C 1 2 3 4 5 P 30,1% 31,0% 31,0% 27,1% 27,1% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,00017 0,00017 0,00017 0,00006 0,00006 TLCB -2,80 -2,80 -2,80 10,40 10,40 DTLCB 768,5 768,5 768,5 626,0 626,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00017 0,00017 0,00017 0,00006 0,00006 TLCB -2,80 -2,80 -2,80 10,40 10,40 DTLCB 768,5 768,5 768,5 626,0 626,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00014 0,00014 0,00014 0,00003 0,00003 TLCB 44,70 44,70 44,70 44,80 44,80 DTLCB 768,3 768,3 768,3 624,3 624,3 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 82 VCF 4 decimals All temperature values: NSC C 1 2.772.500 2 2.118.500 3 2.118.500 4 654.000 5 654.000 C 1 2 3 4 5 NDF 94.616 82.638 82.638 11.978 11.978 NDG 51.886 45.377 45.377 6.509 6.509 NDL 42.730 37.261 37.261 5.469 5.469 NDD1 94.040 82.062 82.062 11.978 11.978 NDG1 576 576 576 0 0 P 3,4% 3,9% 3,9% 1,8% 1,8% PG 54,8% 54,9% 54,9% 54,3% 54,3% PL 45,2% 45,1% 45,1% 45,7% 45,7% P1 3,4% 3,9% 3,9% 1,8% 1,8% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDG 51.886 45.377 45.377 6.509 6.509 NDL 75 66 66 9 9 NDD1 51.749 45.231 45.231 6.518 6.518 NDG1 212 212 212 0 0 PG 99,9% 99,9% 99,9% 99,9% 99,9% PL 0,1% 0,1% 0,1% 0,1% 0,1% P1 3,7% 4,3% 4,3% 2,0% 2,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 42.655 37.195 37.195 5.460 5.460 NDD1 42.291 36.831 36.831 5.460 5.460 NDG1 364 364 364 0 0 PL 100,0% 100,0% 100,0% 100,0% 100,0% P1 3,1% 3,5% 3,5% 1,7% 1,7% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 1.386.250 51.961 2 1.059.250 45.443 3 1.059.250 45.443 4 327.000 6.518 5 327.000 6.518 C 1 2 3 4 5 P 3,7% 4,3% 4,3% 2,0% 2,0% temperature values equal to or above base: C NSC NDF NDG 1 1.386.250 42.655 0 2 1.059.250 37.195 0 3 1.059.250 37.195 0 4 327.000 5.460 0 5 327.000 5.460 0 C 1 2 3 4 5 P 3,1% 3,5% 3,5% 1,7% 1,7% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,0002 0,0002 0,0002 0,0001 0,0001 TLCB 39,90 39,90 39,90 19,60 19,60 DTLCB 768,3 768,3 768,3 616,1 616,1 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0002 0,0002 0,0002 0,0001 0,0001 TLCB -0,70 -0,70 -0,70 19,60 19,60 DTLCB 767,9 767,9 767,9 616,1 616,1 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0002 0,0002 0,0002 0,0001 0,0001 TLCB 39,90 39,90 39,90 27,60 27,60 DTLCB 768,3 768,3 768,3 623,9 623,9 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 83 Table 60D – lubricants, 20 °C base temperature – detailed results Comparison grid: Observed temperature: -5 °C to 45 °C, increment 0,1 °C Base density @ 20 °C: 798,1 kg/m³ to 1.160,7 kg/m³, increment 0,1 kg/m³ Quantity compared: Volume correction factor observed to base (5 & 4 decimals rounding) Absolute numbers: NSC: Number of successful calculations (may be smaller than calculated grid points) NDF: Number of deviations found NDG: Number of deviations where 2004 result lies above 1980 result NDL: Number of deviations where 2004 result lies below 1980 result NDD1: Number of deviations which differ by one result grid rounding increment NDG1: Number of deviations which differ by more than one result grid rounding increment MAXD: Maximum deviation found TLCB: Temperature value closest to base at which maximum deviation occurs DTLCB: Density value for closest temperature value where maximum deviation occurs Calculated % ratios: P : % value of differences: (NDF / NSC) * 100 PG: % value of deviations - 2004 value above 1980 value: (NDG / NDF) * 100 PL: % value of deviations - 2004 value below 1980 value: (NDL / NDF) * 100 P1: % value of deviations - deviation one result grid increment: (NDD1 / NSC) * 100 PX: % value of deviations - deviation above one result grid increment: (NDG1 / NSC) * 100 Comparison of ASTM D1250-04 and ASTM D1250-80 84 Results ASTM D1250-80 standard rounding VCF 5 decimals All temperature values: NSC NDF C 1 1.813.000 917.364 2 1.813.000 917.364 3 362.500 170.268 4 0 0 5 0 0 NDG 447.219 447.219 82.838 0 0 NDL 470.145 470.145 87.430 0 0 NDD1 281.469 281.469 43.148 0 0 NDG1 635.895 635.895 127.120 0 0 PG 48,8% 48,8% 48,7% 0,0% 0,0% PL 51,2% 51,2% 51,3% 0,0% 0,0% P1 15,5% 15,5% 11,9% 0,0% 0,0% PX 35,1% 35,1% 35,1% 0,0% 0,0% NDG 407.115 407.115 81.407 0 0 NDL 409.424 409.424 81.900 0 0 NDD1 180.644 180.644 36.187 0 0 NDG1 635.895 635.895 127.120 0 0 PG 49,9% 49,9% 49,8% 0,0% 0,0% PL 50,1% 50,1% 50,2% 0,0% 0,0% P1 19,9% 19,9% 20,0% 0,0% 0,0% PX 70,1% 70,1% 70,1% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 906.500 100.825 40.104 2 906.500 100.825 40.104 3 181.250 6.961 1.431 4 0 0 0 5 0 0 0 NDL 60.721 60.721 5.530 0 0 NDD1 100.825 100.825 6.961 0 0 NDG1 0 0 0 0 0 PL 60,2% 60,2% 79,4% 0,0% 0,0% P1 11,1% 11,1% 3,8% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 P 50,6% 50,6% 47,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 906.500 816.539 2 906.500 816.539 3 181.250 163.307 4 0 0 5 0 0 C 1 2 3 4 5 C 1 2 3 4 5 P 90,1% 90,1% 90,1% 0,0% 0,0% P 11,1% 11,1% 3,8% 0,0% 0,0% PG 39,8% 39,8% 20,6% 0,0% 0,0% MAXD 0,00006 0,00006 0,00005 0,00000 0,00000 TLCB -1,00 -1,00 19,90 0,00 0,00 DTLCB 824,7 824,7 1.143,5 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00006 0,00006 0,00005 0,00000 0,00000 TLCB -1,00 -1,00 19,90 0,00 0,00 DTLCB 824,7 824,7 1.143,5 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00001 0,00001 0,00001 0,00000 0,00000 TLCB 20,10 20,10 20,20 0,00 0,00 DTLCB 838,8 838,8 932,0 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 85 VCF 4 decimals All temperature values: NSC C 1 1.813.000 2 1.813.000 3 362.500 4 0 5 0 NDF 9.853 9.853 681 0 0 NDG 4.702 4.702 274 0 0 NDL 5.151 5.151 407 0 0 NDD1 9.853 9.853 681 0 0 NDG1 0 0 0 0 0 P 0,5% 0,5% 0,2% 0,0% 0,0% PG 47,7% 47,7% 40,2% 0,0% 0,0% PL 52,3% 52,3% 59,8% 0,0% 0,0% P1 0,5% 0,5% 0,2% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 906.500 9.835 2 906.500 9.835 3 181.250 681 4 0 0 5 0 0 NDG 4.691 4.691 274 0 0 NDL 5.144 5.144 407 0 0 NDD1 9.835 9.835 681 0 0 NDG1 0 0 0 0 0 P 1,1% 1,1% 0,4% 0,0% 0,0% PG 47,7% 47,7% 40,2% 0,0% 0,0% PL 52,3% 52,3% 59,8% 0,0% 0,0% P1 1,1% 1,1% 0,4% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 7 7 0 0 0 NDD1 18 18 0 0 0 NDG1 0 0 0 0 0 PL 38,9% 38,9% 0,0% 0,0% 0,0% P1 0,0% 0,0% 0,0% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 C 1 2 3 4 5 temperature values equal to or above base: C NSC NDF NDG 1 906.500 18 11 2 906.500 18 11 3 181.250 0 0 4 0 0 0 5 0 0 0 C 1 2 3 4 5 P 0,0% 0,0% 0,0% 0,0% 0,0% PG 61,1% 61,1% 0,0% 0,0% 0,0% MAXD 0,0001 0,0001 0,0001 0,0000 0,0000 TLCB 19,80 19,80 18,90 0,00 0,00 DTLCB 838,8 838,8 922,5 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0000 0,0000 TLCB 19,80 19,80 18,90 0,00 0,00 DTLCB 838,8 838,8 922,5 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0000 0,0000 0,0000 TLCB 41,70 41,70 0,00 0,00 0,00 DTLCB 804,7 804,7 0,0 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 86 Results ASTM D1250-80 with “German rounding” (Input data): VCF 5 decimals All temperature values: NSC NDF C 1 1.813.000 851.206 2 1.813.000 851.206 3 1.813.000 851.206 4 0 0 5 0 0 NDG 414.617 414.617 414.617 0 0 NDL 436.589 436.589 436.589 0 0 NDD1 215.311 215.311 215.311 0 0 NDG1 635.895 635.895 635.895 0 0 PG 48,7% 48,7% 48,7% 0,0% 0,0% PL 51,3% 51,3% 51,3% 0,0% 0,0% P1 11,9% 11,9% 11,9% 0,0% 0,0% PX 35,1% 35,1% 35,1% 0,0% 0,0% NDG 406.909 406.909 406.909 0 0 NDL 409.630 409.630 409.630 0 0 NDD1 180.644 180.644 180.644 0 0 NDG1 635.895 635.895 635.895 0 0 PG 49,8% 49,8% 49,8% 0,0% 0,0% PL 50,2% 50,2% 50,2% 0,0% 0,0% P1 19,9% 19,9% 19,9% 0,0% 0,0% PX 70,1% 70,1% 70,1% 0,0% 0,0% temperature values equal to or above base: C NSC NDF NDG 1 906.500 34.667 7.708 2 906.500 34.667 7.708 3 906.500 34.667 7.708 4 0 0 0 5 0 0 0 NDL 26.959 26.959 26.959 0 0 NDD1 34.667 34.667 34.667 0 0 NDG1 0 0 0 0 0 PL 77,8% 77,8% 77,8% 0,0% 0,0% P1 3,8% 3,8% 3,8% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 P 47,0% 47,0% 47,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 906.500 816.539 2 906.500 816.539 3 906.500 816.539 4 0 0 5 0 0 C 1 2 3 4 5 C 1 2 3 4 5 P 90,1% 90,1% 90,1% 0,0% 0,0% P 3,8% 3,8% 3,8% 0,0% 0,0% PG 22,2% 22,2% 22,2% 0,0% 0,0% MAXD 0,00005 0,00005 0,00005 0,00000 0,00000 TLCB 19,90 19,90 19,90 0,00 0,00 DTLCB 1.143,4 1.143,4 1.143,4 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00005 0,00005 0,00005 0,00000 0,00000 TLCB 19,90 19,90 19,90 0,00 0,00 DTLCB 1.143,4 1.143,4 1.143,4 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,00001 0,00001 0,00001 0,00000 0,00000 TLCB 20,10 20,10 20,10 0,00 0,00 DTLCB 1143,3 1143,3 1143,3 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 87 VCF 4 decimals All temperature values: NSC C 1 1.813.000 2 1.813.000 3 1.813.000 4 0 5 0 NDF 3.339 3.339 3.339 0 0 NDG 1.340 1.340 1.340 0 0 NDL 1.999 1.999 1.999 0 0 NDD1 3.339 3.339 3.339 0 0 NDG1 0 0 0 0 0 P 0,2% 0,2% 0,2% 0,0% 0,0% PG 40,1% 40,1% 40,1% 0,0% 0,0% PL 59,9% 59,9% 59,9% 0,0% 0,0% P1 0,2% 0,2% 0,2% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% temperature values below base: C NSC NDF 1 906.500 3.339 2 906.500 3.339 3 906.500 3.339 4 0 0 5 0 0 NDG 1.340 1.340 1.340 0 0 NDL 1.999 1.999 1.999 0 0 NDD1 3.339 3.339 3.339 0 0 NDG1 0 0 0 0 0 P 0,4% 0,4% 0,4% 0,0% 0,0% PG 40,1% 40,1% 40,1% 0,0% 0,0% PL 59,9% 59,9% 59,9% 0,0% 0,0% P1 0,4% 0,4% 0,4% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% NDL 0 0 0 0 0 NDD1 0 0 0 0 0 NDG1 0 0 0 0 0 PL 0,0% 0,0% 0,0% 0,0% 0,0% P1 0,0% 0,0% 0,0% 0,0% 0,0% PX 0,0% 0,0% 0,0% 0,0% 0,0% C 1 2 3 4 5 C 1 2 3 4 5 temperature values equal to or above base: C NSC NDF NDG 1 906.500 0 0 2 906.500 0 0 3 906.500 0 0 4 0 0 0 5 0 0 0 C 1 2 3 4 5 P 0,0% 0,0% 0,0% 0,0% 0,0% PG 0,0% 0,0% 0,0% 0,0% 0,0% MAXD 0,0001 0,0001 0,0001 0,0000 0,0000 TLCB 19,50 19,50 19,50 0,00 0,00 DTLCB 898,7 898,7 898,7 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0001 0,0001 0,0001 0,0000 0,0000 TLCB 19,50 19,50 19,50 0,00 0,00 DTLCB 898,7 898,7 898,7 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. MAXD 0,0000 0,0000 0,0000 0,0000 0,0000 TLCB 0,00 0,00 0,00 0,00 0,00 DTLCB 0,0 0,0 0,0 0,0 0,0 2004 R/2004 Inc. 1980 R./2004 Inc. 1980 R. /1980 Inc. 1980 Ext. R./2004 Inc. 1980 Ext. R./1980 Inc. Comparison of ASTM D1250-04 and ASTM D1250-80 88
Similar documents
07/15 - GPA Midstream Association
number, the equation will predict low flow rates at low Reynolds numbers, and high flow rates at high Reynolds numbers, as compared to a fully turbulent flow equation. Efficiencies based on the Pan...
More informationThe Little Coupon Book
• Polo • Old Navy • Gap • Coach • Victoria’s Secret North Face • Nike • Nautica • Many more!
More information