Weak Forces - ี่www.lerson.sc.chula.ac.th
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Weak Forces - ี่www.lerson.sc.chula.ac.th
LEGO Minifigures are trademarks of the LEGO Group. © 2005 The LEGO Group. STAR WARS and related properties are trademarks of Lucasfilm Ltd. © 2005 Lucasfilm Entertainment Company Ltd. or Lucasfilm Ltd. & ® or TM as indicated. All rights reserved. Strong and Weak Forces (May the Forces be with you!) Lerson Tanasugarn, Ph.D. Department of Biochemistry Faculty of Science [email protected] 2310332 Topic: Weak Forces (1 Hour) • Instructor • Lerson Tanasugarn, Ph.D. Klum 515, Faculty of Science, 02-218-5424, 080-963-8080 [email protected] • Textbook 3rd Edition 4th Edition 5th Edition 6th Edition • Nelson, D. L. & M. M. Cox (2009) Lehninger Principles of Biochemistry, 5th Edition. NY:Worth Publishing. • Web Site • http://www.lerson.sc.chula.ac.th/ public/bc/2310332/2013.pdf Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 2 Chang (1981), p. 458. Weak Forces vs Strong Force • Strong forces == covalent bonding -> average bond energy at 25 ℃ for a single covalent bond ~ 400 kJ/mole • Nature takes advantage of “weak forces,” i.e. natural interactions that are much weaker in magnitude than conventional “covalent bonds” • The large number of possible “sites” that can participate in these weak interactions could make the total bond energy large enough to do useful things (like folding a protein molecule and keep it folded) Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 3 Weak Forces (Weak Interactions) • Ionic bond (ionic interaction) • Van der Waals interactions (dipole-dipole interaction) • Permanent dipole - permanent dipole interaction • Permanent dipole - induced dipole interaction • Induced dipole - induced dipole interaction (London dispersion force) • Hydrogen bond • Hydrophobic interaction How strong? intramolecular intermolecular Bond energies are on the order of <100 kJ•mole-1. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 4 1. Ionic Bond (Ionic Interaction, Salt Bridge, Ion Pair) • Relatively strong interaction among the 4 weak forces. • Recall Coulomb Force between charges • Different charges - attractive force + NH • Same charge - repulsive force 3 COO • From Physics II • Point charges • Vector summation after drawing a free-body diagram • Principle of Superposition + NH 3 + NH 3 Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 5 http://www.funnyphotos.net.au/images/ static-electricity-hair-stand-on-end1.jpg Coulomb’s Law of Electricity Felectrical 21 Felectrical 12 ȓ12 +q2 +q1 ce pa free s um) u c a v ( r12 ! F electrical 2,1 1 q1 q2 = r̂ N 2 4⇡✏0 r12 Felectrical 21 = force acting on charge q2 due to charge q1 in N • ȓ (pronounced “r hat” or “r roof”)= unit vector pointing from charge q1 to charge q2 • q1, q2 = charges in Coulomb, C • Basic: 1 C = 6.25 x 1018 elementary charges; 1 elementary charge = 1.602 x 10-19 C • Old unit: 1 C = 2.998 x 109 esu (statcoulomb); 1 esu (statcoulomb) = 3.335 x 10-10 C • Big unit: 1 Faraday, F = 1 mole of elementary charges = 6.023 x 1023 elementary charges = 96,485.4 C • The electric constant (vacuum permittivity or permittivity of free space), C2 C F A2 s4 12 ✏0 = 8.854 ⇥ 10 or or or N m2 Vm m kg m3 2 1 9 Nm = 8.988 ⇥ 10 4⇥ 0 C2 Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 6 Coulomb’s Electrostatic Law vs Newton’s Law of Gravity Fgravitational 21 Fgravitational 12 ȓ12 m2 m1 Felectrical 21 Felectrical 12 ȓ12 +q2 +q1 r12 ! F gravitational 21 = ! m1 m2 r̂12 F electrical G 2 r12 2 11 N m G = 6.674 ⇥ 10 = 6.674 ⇥ 10 kg 2 mearth ⇡ 6.0 ⇥ 10 kg 24 r12 11 m3 kg mmoon ⇡ 7.4 ⇥ 1022 kg 1 s 2 0 21 = 8.85 ⇥ 10 mproton ⇡ 1.673 ⇥ 10 27 12 • Astronomical scale --> gravitational force wins • Molecular --> practical scale: electronic force wins • Atomic scale --> nuclear force wins 1 ' ⇥ 10 36⇥ 9 1 = 8.988 ⇥ 109 4⇡✏0 kg Example: 1. two positively-charged amino groups (mw~17) separated by 4 Å 2. earth and moon, each with 10 C of charge, 1 separated by, say, 400,000 km. Fe 8.85 ⇥ 10 4⇥ 0 q1 q2 1 q1 q2 = r̂12 2 4⇡✏0 r12 C2 N m2 N m2 C2 (1.602 ⇥ 10 19 )2 = =( ) = 4.21 ⇥ 1012 11 27 2 Fg G m1 m2 6.67 ⇥ 10 (17 ⇥ 1.673 ⇥ 10 ) 1 Fe q1 q2 8.85 ⇥ 10 = 4⇡✏0 =( Fg G m1 m2 6.67 ⇥ 10 12 12 ) 11 (10)2 = 2.99 ⇥ 10 (6.0 ⇥ 1024 )(7.4 ⇥ 1022 ) Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 47 7 Dielectric Constant (Relative Permittivity), εr not in vacuum F 21 F12 ȓ12 +q1 +q2 ! 1 q1 q2 F 2,1 = r̂ N 2 4⇡✏ r12 In general, r12 ✏ = ✏r ✏0 where Dielectric Constant tells us how many times the electric constant of the medium is relative to that of vacuum. Liquid ! 1 q1 q2 more F 2,1 = r̂ 101 2 4⇡✏0 ✏r r12 78.5 general, εr Sulfuric acid Water H2SO4 H2O Dimethylsulfoxide, DMSO Glycero CH3-SO-CH3 HO-CH2-CH2-OH-CH2-OH Nitromethane Ethylene glycol CH3-NO2 HO-CH2-CH2-OH 38.6 37.7 Acetonitrile Methanol CH3-CN CH3-OH 36.2 32.6 Ethanol Acetone Acetic acid (glacial) Benzene Diethylether Carbondisulfide CH3-CH2-OH CH3-CO-CH3 CH3-COOH C6H6 C2H5-O-C2H5 CS2 24.3 20.7 6.2 4.6 4.3 2.6 49 42.5 don’t forget 0 = 8.85 ⇥ 10 12 ' 1 ⇥ 10 36⇥ 1 = 8.988 ⇥ 109 4⇡✏0 9 N C2 N m2 N m2 C2 Non-polar environment like that inside a folded protein. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 8 |Felectrical| Example: +1 εr = 1 ① ② εr = 4 ③ εr = 80 |Felectrical| +1 4Å 2 ① ! ② Felectrical (8.988 ⇥ 109 NCm2 )(1.602 ⇥ 10 1 q1 q2 = = 2 4⇡✏0 ✏r r (4 ⇥ 10 10 m)2 Felectrical (8.988 ⇥ 109 NCm2 )(1.602 ⇥ 10 1 q1 q2 = = 4⇡✏0 ✏r r2 (4)(4 ⇥ 10 10 m)2 Felectrical (8.988 ⇥ 109 NCm2 )(1.602 ⇥ 10 1 q1 q2 = = 4⇡✏0 ✏r r2 (80)(4 ⇥ 10 10 m)2 2 ! ③ 2 19 C)2 19 19 C)2 C)2 = 1.442 ⇥ 10 9 N = 3.61 ⇥ 10 10 N = 1.80 ⇥ 10 11 N Compare with the gravitational force between the two protons: Fgravitational = m1 m2 G 2 = r (6.674 ⇥ 10 2 (1.673 ⇥ 10 27 kg)2 11 N m ) kg 2 (4 ⇥ 10 10 m)2 = 6.98 ⇥ 10 46 N The electrical force is about 4x1035 times the gravitational force. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 9 Example: pK of Glycine vs those of Aspartic Acid and Glutamic Acid α carboxy group pK = 1.99 α carboxy group pK = 2.35 α carboxy group pK = 2.10 α amino group pK = 9.90 α amino group pK = 9.47 α amino group pK = 9.78 Glycine ⊖ ⨁ NH3 β carboxy group pK = 3.90 Aspartic ⊖ acid • pKα carboxy < pKβ carboxy < pKγ carboxy γ carboxy group pK = 4.07 ⨁ NH3 ⊖ Glutamic acid ⊖ • The closer a carboxyl group is to a positively charged amino group, the easier it is for the proton to leave, hence the lower pKa. ⨁ NH3 ⊖ Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 10 Ionic Interaction Summary Force Energy where 1 q1 q2 F = 4⇡✏0 ✏r r2 N 1 q1 q2 U= 4⇡✏0 ✏r r VJ 1 = 8.988 ⇥ 109 4⇡✏0 + NH3 N m2 C2 + NH 3 COO- + NH 3 • Salt bridge, ion pair Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 11 Example: -1 1. εr = 4 2. εr = 80 +1 4Å two point charges 4Å apart in a medium with dielectric constant = 4 F = 1 q1 q2 4⇡✏0 ✏r r 2 U= 1 q1 q2 4⇡✏0 ✏r r = = 19 C)2 9 N m2 (1.602⇥10 (8.988 ⇥ 10 C 2 ) (4⇥10 10 m)2 = 19 C)2 9 N m2 (1.602⇥10 (8.988⇥10 C 2 ) (4⇥10 10 m) = ( 5.767 ⇥ 10 22 kJ)(6.023 ⇥ 1023 1 mole ) 1.442 ⇥ 10 = = 347 5.767⇥10 9 N 22 kJ kJ/mole • This strong interaction diminishes quickly to 4.34 kJ/mole in water (εr=80). • The free energy of solvation of 2 separate ions roughly equals the free energy of formation of the unsolvated pairs. Therefore, the ion pair contributes little towards the stability of macromolecules. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 12 Protonation-Deprotonation The Henderson-Hasselbalch Equation HA ⌦ H + + A [H + ][A ] Ka = [HA] log Ka = log [H + ] proton dissociation from an acid write out the equilibrium constant log [A ] + log [HA] pKa = pH log [A ] + log [HA] pH = pKa + log [A ] log [HA] [A ] pH = pKa + log [HA] “pH equals pK plus the log of conjugate base to (free) acid” • For now, take pKa as a constant for a given chemical species. • The difference between pH and pKa is related to the logarithm of the degree of dissociation of the acid. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 13 Carboxyl Group Dissociation Amino Group Dissociation N H3+ ⌦ H + + N H2 C B 1.00 [N H2 ] Dissociation [N H ] + [N H + ] 2 3 Dissociation [A ] [A ] + [HA] COOH ⌦ H + + COO COO- wins 0.75 A 0.50 50% dissociation 0.25 COOH wins 0.00 0 E D 4 pKa=3.00 8 12 16 pH 1.00 NH2 wins 0.75 50% dissociation 0.50 0.25 NH3+ wins 0.00 0 4 8 12 16 pH pKa=9.00 • Suppose the pKa of a particular carboxyl group was 3.00. • Suppose the pKa of a particular amino group was 9.00. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 14 Isoelectric Point (pI) and Isoionic Point If pH<2 ~ little charge on COOH +1 charge on NH3+ Net charge approaches 1 α carboxy group pK = 2.35 α amino group pK = 9.78 Glycine At pH 6.07 [=(2.35+9.78)/2] Total positive charges = total negative charges Net charge =0 If pH>10 ~ little charge on NH2 -1 charge on COONet charge approaches -1 IUPAC Compendium of Chemical Terminology, 2nd Edition (1997) • Isoelectric Point, pI [or pH(I)] is the pH value at which the net electric charge of an elementary entity is zero. [i.e., all adsorbed ions are taken into account - This is the term biochemists use for amino acids and proteins such as in the above scenario. - LT ] • Isoionic Point is the pH value at which the net electric charge of an elementary entity in pure water equals zero. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 15 Salting-In & Salting-Out • Vertical axis = solubility of proteins • Good solubility of proteins above ionic strength ~ 0.1 • Solubility decreases @ ionic strength >1, esp. (NH4)2 SO4 • Different proteins ppt @ different ionic strengths Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 16 Explanation of Salting-in & Salting-Out (NH4)2SO4 is often used: • good solubility in water • high ionic strength due to -2 charges on the sulfate group • slightly acidic solution is close to pI of many proteins • reasonably priced (not an expensive salt) • Salting-in: salt helps water to form hydrate shell • Salting-out: salt and ionizable groups on protein compete for a limited number of polar water molecuels Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 17 Gel http://www.hormel.com/images/ glossary/g/gelatin_jello.jpg http://www.gmap-gelatin.com/ pics/gummybears.GIF • Meshwork of polymer absorbing solvent (water) • Cross link or not • Many kinds of gel • Protein gel • Carbohydrate gel • Organic gel http://www.fell2earth.com/content.php?cid=1210 Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 18 Carbohydrate Gel: Carrageenans Chondrus crispus seaweed! http://www.cybercolloids.net/library/ carrageenan/chondrus-crispus.jpg Source: Rees (1972) in Glicksman (1982). http://www.rsaum.co.uk/ weblog/archives/colour/ Detection of the thermal coil-to-double helix conformational transition of Κ Carrageenan, using the technique of circular dichroism http://academic.brooklyn.cuny.edu/ chem/maggie/res/papers/ac00_2~3.htm Hot aqueous solution - - - random coil polymer! On cooling! - - - double helices form! ! Iota Carrageenan - intermediate sulfate contents, elastic gel, good freeze-thaw! ! Kappa Carrageenan - gels in potassium ion. Calcium ions make the gel brittle. Syneresis is likely, especially when combined with locust bean gum to produce a strong gel. About 70% of world carrageenan production.! !Lambda carrageenan - highly sulfated, does not gel - mouth feel & creamy sensation Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 19 Carbohydrate Gel: Agar http://www.bulkfoods.com/ agar_agar.htm • Complex mixture of 2-3 polysaccharides with the same backbone structure but with variable degrees of charged groups • Agarose = alternate b(1Ý3) D-galactose and a(1Ý4) 3,6-anhydro-L-galactose units • Gels at 32-39°C on cooling and melts at >85°C with brittle, crunchy texture • Use locust bean gum as plasticizer Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 20 Carbohydrate Gel: Alginates http://www.bulkfoods.com/agar_agar.htm Source: Glicksman (1982) Linear copolymer of D-mannuronic and L-guluronic acids Salt Bridges Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 21 Chitosan Gel http://www.igb.fraunhofer.de/WWW/GF/Biokatalyse/en/GFBK_221_Chitosan.en.html • Chitin-chitosan from crustacean shells • Deacetylation of chitin to produce chitosan • Positively charge, pK around 6.2-6.7 Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 22 Carbopol, an organic gel • carbopol usually comes as white powder • carbopol initially dissolved in water is not viscous at all • What should we do to make it gel? • What can we do to turn the gel into a watery substance again? http://www.traderscity.com/board/products-1/offers-tosell-and-export-1/carbomer-carbopol-203010/ http://www.pharmainfo.net/reviews/carbopol-and-its-pharmaceutical-significance-review Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 23 Chitosan + Carbopol --> ? • Can we predict in advance what is going to happen? • chitosan (pK around 6.5) • carbopol (pK around 3.8) • At pH in between (e.g. 5) • Chitosan is positively charged • Carbopol is negatively charged • What will the two oppositely charged polymers do to each other? Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 24 Ion & Dipole + !" F = qE !" F = qE + l !" F = −qE - Net charge = +1 Moves to the right No rotation Net charge = -1 Moves to the left No rotation !" F = −qE - Net charge = 0 No translational movement Rotates clockwise Dipole Moment, µ = ql esuicm Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 25 Unit of Dipole Moment 1 debye = 1x10 −18 esuicm ( = 1x10 −18 C ⎞⎛ 1 m ⎞ ⎛ 1 esuicm ⎜ ⎝ 3x10 9 esu ⎟⎠ ⎜⎝ 100 cm ⎟⎠ = 3.33x10 −30 Cim ) http://en.wikipedia.org/ wiki/Peter_Debye • In honor of Peter Joseph William Debye, a German scientist who studied dipole moment in the early 1900s and won a Nobel Prize in 1936 • For example, if a +1 and a -1 charges are separated by a distance of 1 Å Dipole Moment = (4.80x10-10)(10-8) esu•cm = 4.80 debye • Note: For convenience, biochemists rarely use Coulomb•m as a unit for dipoles. We routinely use “debye,” which we define in the cgs sytem as 1x10-18 esu•cm. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 26 Zwitterion Nature of Amino acids http://en.wikipedia.org/wiki/Zwitterion • What evidence do we have to support the zwitterion nature of amino acids? Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 27 Jeffries Wyman (1936) +H -+H N -[Glycine] -COON -[CH ] -COO 3 2n 3 n Polyglycine oligopeptide Wyman, J. (1936) Chem. Rev. 19:213, cited in Gabler, R. (1978) Electrical Interactions in Molecular Biophysics. NY:Academic Press. • Recall that • Dielectric constant is related to dipole moment • dipole moment = product of charge and separation, D=ql • n = # of carbon atoms b/t the amino and the carboxyl groups Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 28 Dunning and Shutt (1938) • Between pH 4.5 and 7.5 -> zwitterion • Beyond this range, dipole is gone, so is D Dunning, W. J. and W. J. Shutt (1938) Trans. Faraday Soc. 34:479, cited in Gabler, R. (1978) Electrical Interactions in Molecular Biophysics. NY:Academic Press. ∂D µ = 10 ∂c Semiempirical estimate of dipole moment from dielectric constant Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 29 2. Dipole-Dipole Interaction (van der Waals Interaction) α = polarizability D = dielectric constant -1 kJ•mol I = first ionization potential µ = dipole moment r = separation • Dipole-dipole interaction: c=o c=o 2 µ A2 µ B2 1 Energy = − 3 D 2 r 6 kt • Ion-induced dipole: 1 α e2 Energy = − 2 Dr 4 • Dipole-induced dipole: 2αµ 2 Energy = − 0.4<U<4 Na+ C6H6 0.4<U<4 kJ•mol-1 c=o H3C- (Debye, 1920) 0.4<U<4 kJ•mol-1 D2r 6 • London dispersion force: -CH3 H3C- (London, 1930) Energy = − 3 I A I B α Aα B 2 IA + IB r6 4<U<40 kJ•mol-1 Weak interaction but significantly stabilize protein structure Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 30 Magnitude of van der Waals • Example: two c=o groups each with dipole moment of 4.2x10-30 C•m (1.3 debye) in head-to tail arrangement (c=o c=o) distance r=5 Å in a medium with dielectric constant = 4 => attractive energy -9.3 kJ•mol-1(-2.2 kcal•mol-1)! • In alpha helix: many pairs in the same direction, low dielectric constant inside protein Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 31 Example: Ab combining site Lysozyme [Voet & Voet (1995) p. 1217] Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 32 Nonbonding Interaction in Molecular Mechanics • Molecular Mechanics (MM) is a technique to find a quick estimate of the relative energy associated with a molecule. In MM, energies have no absolute meaning. • Etotal = Er + Eθ + Eφ + Enb + [special terms] • Er <= bond stretching = Σ Kr (r-r0)2 • Eθ <= bond angle bending • Eφ <= bond torsion = Σ Kθ (θ-θ0)2 = Σ Kφ [1+cos(nφ-φ0)] • Enb <= nonbonding interaction • K = force constants for bonds, angle, and dihedral angle r0, θ0, φ0 = equilibrium distance, angle, phase angle n = periodicity of the Fourier term Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 33 Lennard-Jones 6-12 Potential Potential 0 -0.1 -0.2 -0.3 0.5 1.0 1.5 12 6 ⎡ 0.39 nm σ⎞ σ⎞ ⎤ ⎛ ⎛ Distance (nm) VLJ = 4 ε ⎢⎜ ⎟ − ⎜ ⎟ ⎥ ⎝ ⎠ ⎝ ⎠ r r ⎢ ⎥⎦ ⎣ Example: water http://polymer.bu.edu/Wasser/robert/work/node8.html σ = 0.3165555 nm ε = 0.6501696 kJ/mol " " When r is large, the 6th power term dominates => induced dipole-induced dipole interaction (London dispersion/ van der Waals) When r is small, the 12th power term dominates -> collision of electron clouds Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 34 Polyacrylamide Gel Polyacrylamide gel: a hydrogel consisting of nonionic polymer that is cross-linked by methylenebisacrylamide. Stryer © (1988) Biochemistry 3rd ed.All rights reserved. Copyright 2009 by Lerson Tanasugarn. 35 Shrinkage of Polyacrylamide Gel van der Walls Miscible organic solvent e.g. acetone or ethanol In H2O Donnan Equilibrium Rubber elasticity • Tanaka’s Model of Gel Contraction • Control variable can be temperature, etc. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 36 Expansion of acrylamide- acrylic acid copolymer • Acrylamide --(hydrolysis)--> acrylic acid catalyzed by N,N,N’,N’-tetramethylethylenediamine (TEMED) Pickling of acrylamide gel in TEMED for about 3 weeks. • Carboxyl group, COO-, are substantially deprotinated at around neutral pH, giving rise to negative charges on the molecules. TEMED 3 weeks polyacrylamide low pH low dielectric constant acrylamide-acrylic acid copolymer Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 37 3. Hydrogen Bonding H! 2.1! Li Be B C N O F! 1.0 1.5 2.0 2.5 3.0 3.5 4.0! Na Al Mg 0.9 1.2 K Ca Ti Mn Fe 0.8 1.0 1.3 1.5 1.6 1.6 1.5 1.8 Rb Y Zr 1.2 0.8 1.0 Cs Ba La-Lu V Nb Cr Ra 0.7 0.9 S Cl! Co Ni Cu Zn Ga Ge As Se Br! 1.9 1.9 1.9 1.6 1.6 1.8 2.0 2.4 2.8! Tc Ru 1.4 1.6 1.8 1.9 2.2 2.2 2.2 1.9 1.7 1.7 1.8 1.9 2.1 2.5! Hf Re Os 1.9 2.2 2.2 2.2 2.4 1.9 1.8 1.9 1.9 2.0 2.2! Ta Mo W 0.7 0.9 1-1.2 1.3 1.5 1.7 Fr P 1.5 1.8 2.1 2.5 3.0! Sc Sr Si Ac Th 1.1 1.3 1.4 1.4 1.4-1.3 Pa U Rh Ir Pd Pt Ag Au Cd Hg In Tl Sn Pb Sb Bi Te Po I! At! Np-No! • H between two electronegative atoms e.g. >C=O…H-N- (…2Å, -1Å) In alpha-helix (2.7 to 3.1Å) Angle: linear is strongest • Bond energy (4 to 40 kJ•mol-1) is about 20 kJ•mol-1 in water and from 12 to 30 kJ•mol-1 in protein (depending on angle and dielectric constant) Internal H-bonds almost do not stabilize proteins but provide a structural basis for protein folding pattern. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 38 H-bond Example 1: Protein a-helix & b-pleated sheet [Voet & Voet (1995), p. 146 and 150. In a-helix, H bonds are almost parallel to the helix length. The O-N distance is about 3 Å Antiparallel β-sheet Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 39 H-bond Example 2: Carbohydrate • H-bonds within the same layer and between two adjacent layers help stabilize cellulose in plant cell walls. [Voet & Voet (1995) p. 261] Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 40 H-bond Example 3: Nucleic Acid [Voet & Voet (1995) pp. 852 and 854] l l The energy per H-bond is rather weak, about 5 kJ•mol-1 ! The stability to the DNA Molecule comes from the cooperative nature of H-bond formation. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 41 Carbohydrate Gels: Pectin 1,4-linked a-D-galacturonic acid, containing other sugars and methoxy modifications Top: H-bonding! Bottom: Ca++ for methoxy pectin Regular pectin form gels at acid pH with high sugar! Low methoxyl pectin - similar to alginate(require divalent cation) can be formed without sugar over a wide pH range Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 42 H-bond disruptors NH2+ O H2N-C-NH2 H2N-C-NH2 Guanidinium ion Urea • Urea and guanidinium ion (Gu+) in the concentration range 5 to 10 M are the most commonly used protein denaturants. • They disrupt hydrogen bonds. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 43 Breaking Up Hydrogen Bonds • Heat = vibration e.g. boiled eggwhite • Chemicals, e.g. • 6M guanidinium ion • 9M urea, e.g. nail removal http://www.gather.com/viewArticle.action? articleId=281474977680328 http://www.mediorta.com/how-to-treat-nail-fungus/ http://www.nail-fungus-help.com/nail-fungus-pictures.php http://www.fotosearch.com/UNE419/u13480552/ http://www.drblakeshealingsole.com/2010/10/toe-nail-fungus-carmol-40-urea.html Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 44 Polyvinylalcohol + Borate http://www.sci-experiments.com/slime/slime.html • How many hydrogen bonds are shown in the above diagram? Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 45 4. Hydrophobic Interaction • This interaction is different from all other weak forces in that it does not involve two atomic centers. • Nonpolar substances spontaneously minimize their contact with water. • Large and negative ΔG for transferring HC from water to nonpolar solvents is entropy-driven • Positive ΔH (endothermic) for all aliphatic compounds, athermic for all aromatic compounds • Entropy is large and negative • Entropy of what? Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 46 Example Recall that ΔG = ΔH - TΔS Transferring a hydrocarbon ΔH!! -TΔS! ! ΔG from water to hydrocarbon! kJ•mol-1 kJ•mol-1 ! kJ•mol-1 CH4 in H2O! ! -> C6H6! 11.7! ! CH4 in H2O! ! -> CCl4! 10.5! ! C2H6 in H2O! ! -> C6H6! 9.2! ! C2H4 in H2O! ! -> C6H6! 6.7! ! C2H2 in H2O! ! -> C6H6! 0.8! ! C6H6 in H2O! ! -> C6H6! 0.0! ! C6H5CH3 in H2O!->! C6H6 0.0! ! Transfer from water to HC Positive or Zero enthalpy -22.6! -22.6! -25.1! -18.8! -8.8! -17.2! -20.0! Positive Entropy ! ! ! ! ! ! ! -10.9! -12.1! -15.9! -12.1! -8.0! -17.2! -20.0 Negative Gibbs free energy Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 47 Water Cage Ordered structure of water molecules surrounding a nonpolar solute particle [Voet & Voet (1995) p. 177-8] The aggregation of nonpolar solute reduces the number of solute particles and therefore minimizes the ordered structure of water. Therefore, entropy is increased, leading to large negative -TΔS. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 48 Consequences ordered water ordered water New disordered water New ordered water • R1(H2O)n + R2(H2O)n -> R1R2 (H2O)m + 2nH2O • R1 reacts with R2 in aqueous solution and liberates the ordered water molecules originally surrounding R1 and R2. That means entropy increase, which drives ΔG down to a negative level. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 49 Hydropathy Protein! Side Chain!Hydropathy • Aggregation of nonpolar molecules minimizes the surface area and the entropy loss of the system • Protein Folding • Hydrophobicity Hydrophilicity Hydropathy • Kyte-Doolittle scale for amino acids ----> Ile! 4.5 Val! 4.2 Leu! 3.8 Phe! 2.8 Cys! 2.5 Met! 1.9 Ala! 1.8 Gly! -0.4 Thr! -0.7 Ser! -0.8 Trp! -0.9 Tyr! -1.3 Pro! -1.6 His! -3.2 Glu! -3.5 Gln! -3.5 Asp!-3.5 Asn!-3.5 Lys! -3.9 Arg!-4.5 Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 50 Sickle-cell Hemoglobin Intermolecular Contact Glu β6 -> Val β6 [Geis, from Voet & Voet (1995) p. 238] 220 Å dia. Fiber layer repeat = 64 Å twist repeat = 350 Å Deoxy HbS spilling out of a ruptured erythrocyte [Joseph, R., from Voet & Voet (1995) p. 237] Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 51 Mad Cow Disease www.eskimo.com/ ~nickz/bse/madcow.html Reuter, www.mad-cow.org/00/ may00_last_news.html Web.mit.edu/newsoffice/tt/ 2002/oct30/prions.html • PrPc misfolds into the deadly PrPsc (helix->sheet) which induces more conversion. PrPsc is routed into the cytosol and kills the neuron even at low concentrations. • Example of shift in the delicate balance of weak forces. Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 52 Hydrophobic Sand http://www.profbunsen.com.au/shop/ item/hydrophobic-sand-magic-sand http://www.scientificsonline.com/ space-sand-9658.html https://www.wardsci.com/store/catalog/ product.jsp?catalog_number=6569400 • What would happen if you poured some sand that is coated with a hydrophobic substance into water? Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 53 Summary of Bondings Bond Energy kJ•mol-1 ! 200 -800 ! ! ! ! • Covalent bond!! No simple expression for energy! -C-C-! • Ion-ion interation (salt bridge)! -kqAqB/Dr! ! -NH4+ -COO-!! 40 -400 • Ion-dipole interaction! -eµ/Dr2! ! ! Na+(H2O)n! ! 4 - 40 • Dipole-dipole interaction:! ! ! c=oc=o!! • -(2/3) (µA2 µB2)/D2r6(1/kT) ! ! 0.4 - 4 • Dipole-induced dipole interaction: c=oH3C- -2αµ2/D2r6![α = polarizability]! 0.4 - 4 • Ion-induced dipole interaction:! ! -(1/2)αe2/Dr4 0.4 - 4 Na+C6H6 ! -CH3 H3C-! 4 - 40 • London dispersion force:! ! -(3/2){IAIB/(IA+IB)}(αAαB/r6) [α = polarizability, I = first ionization potential]! ! • Hydrogen bond:! ! Hydrophobic interaction:! ! ! ! ! >C=O … H-N<! 4 - 40 hydrocarbons Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 54 Protein Folding Domains are folded first. H-bonds help in getting the correct configuration. Van der Waals as well as hydrophobic interactions help stabilizing the structure. [Voet & Voet (1995) p. 195] Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 55 Protein Denaturation Physical Agent Interaction heat pH detergent water soluble organic substances such as aliphatic alcohols and ketones ? - ionic - dipole-dipole - hydrogen bond - hydrophobic ? chaotropic agents I-, ClO4-, SCN-, Li+, Mg2+, Ca2+, Ba2+ guanidinium ion, urea Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 56 www.theufos.com/images/ Extraterrestrial_Being.jpg The End Copyright © 2009 by Lerson Tanasugarn. All rights reserved. 57