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
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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

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