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Associations of amphipathic molecules in aqueous solutions.
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Ionic Mobilities in H 2 O at 25°C.
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Mean lifetime of a hydronium ion is 10 -12 s This makes proton transfer reactions (acid base reactions) among the fastest in aqueous solutions.
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Acid Base Chemistry HA + H 2 OH 3 O + + A - Conjugate acid Conjugate base K = [H 3 O + ][A - ] [HA][H 2 O] K = dissociation constant is a measure of the strength of an acid [H 2 O] = 55.5M K a = K[H 2 O] = [H + ][A - ] [HA] [H 3 O + ] = [H + ]
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Water as an acid H2OH2OH + + OH - Conjugate acid Conjugate base K = [H + ][OH - ] [H 2 O] Pure water contains equimolar hydroxide ions and protons At 25ºC K w = 10 -14 M 2 [H + ] = [OH - ] = 10 -7 M [H 2 O] = 55.5M K w = K[H 2 O] =[H + ][OH - ]
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Henderson Hasselbach and pH -log[H + ] pH = [H + ] =K a ([HA]/A - ]) pH =-log K a + log ([A - ]/[HA]) pH =pK a + log ([A - ]/[HA])
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Titration curve of a 1L solution of 1M H 3 PO 4.
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Thermodynamics First Law Energy is conserved ∆U = U final - U initial = q - w q = heat absorbed w = work done ∆U = 0 for any process that returns to its initial state Exothermic processes release heat Endothermic processes gain heat
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H = U + PV Enthalpy is defined as: P = pressure (constant) ∆V = volume (insignificant) ∆H = ∆U + P∆V ∆H = ∆U = q - w ∆H = q w often is zero in biological systems q = heat transferred to/from the surroundings
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Thermodynamics Second Law Entropy increases ∆S universe > 0
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Two bulbs of equal volumes connected by a stopcock. N molecules of gas 2 N equally probable ways of distributing them
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W L = N! L!(N-L)! W L = number of different ways of placing L of the N molecules in the left bulb For any N the most probable state is L = N/2 (half the gas in the left bulb) Probability = W L /2 N If N = 10 23 the probability that the # of molecules in the left and right bulbs differ by 1 molecule is 10 billion in 10 -434
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Page 54 9 positions, 4 identical balls W = 987654321 = 126 (4321)(54321) Only 4 out of 126 possible arrangements have 4 balls touching each other W L = N! L!(N-L)! W L = number of different ways of placing L of the N molecules in the left bulb
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S = k B ln W In a system where energy does not change a spontaneous process has ∆S > 0 W L = N! L!(N-L)! W is approximately 10 7x10 22 if the previous experiment uses a mole of real gas To make this more manageable entropy was “invented”
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This does not mean that order cannot exist In a localized system. It means that order can only exist at the expense of surrounding systems. Biology gains order by disordering the nutrients that it consumes. ∆S system + ∆S surroundings = ∆S universe > 0
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Free Energy G = H - TS ∆G = ∆H - T∆S ∆G ≤ 0 for a spontaneous process
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Exergonic∆G < 0Spontaneous Endergonic∆G > 0Must input energy
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Variation of Reaction Spontaneity (Sign of ∆G) with the signs of ∆H and ∆S.
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How do we drive endergonic processes?
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Greek lettering scheme used to identify the atoms in the glutamyl and lysyl R groups.
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An -amino acid
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Glycine - The Simplest -Amino Acid Fischer Projection Preferred representation
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L- -alanine or (-)- -alanine (S)- -alanine S = counterclockwise Alanine CC
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-valine L-(-)- -valine S- -valine Valine CC
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-leucine L- -leucine (-) - -leucine S- -leucine Leucine CC
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Isoleucine 2 chiral centers (2S,3S)-isoleucine
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Both centers are S CC CC
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Methionine is non-polar but S-atom is reactive -methionine L-methionine (-)- -methionine S-methionine
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Methionine is non-polar but S-atom is reactive -methionine L-methionine (-)- -methionine S-methionine CC
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Proline is a cyclic imino acid -proline L-proline (-)- -proline S-proline CC 2 + 2 + 2 + 2 +
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Large non-polar aromatic -phenylalanine L-phenylalanine (-)- -phenylalanine S-phenylalanine
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Large and non-polar -phenylalanine L-phenylalanine (-)- -phenylalanine S-phenylalanine CC
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Large and non-polar -tryptophan L-tryptophan (-)- -tryptophan S-tryptophan
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Large and non-polar -tryptophan L-tryptophan (-)- -tryptophan S-tryptophan CC
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Uncharged Polar Amino Acids -tyrosine L-tyrosine (-)- -tyrosine S-tyrosine +
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Uncharged Polar Amino Acids -tyrosine L-tyrosine (-)- -tyrosine S-tyrosine CC
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Uncharged Polar Amino Acids -serine L-serine (-)- -serine S-serine CC +
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Uncharged Polar Amino Acids - cysteine is often charged -cysteine L-cysteine (-)- -cysteine R-cysteine CC +
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Uncharged Polar Amino Acids -asparagine L-asparagine (-)- -asparagine S-asparagine CC +
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Uncharged Polar Amino Acids -glutamine L-glutamine (-)- -glutamine S-glutamine CC +
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Threonine has 2 chiral centers (2S,3R)-threonine
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CC CC
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Charged amino acids -arginine L-arginine (-)- -arginine S-arginine CC +
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Charged amino acids -lysine L-lysine (-)- -lysine S-lysine CC +
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Charged amino acids -histidine L-histidine (-)- -histidine S-histidine CC +
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Charged amino acids -glutamate L-glutamate (-)- -glutamate S-glutamate CC +
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Charged amino acids -aspartate L-aspartate (-)- -aspartate S-aspartate CC +
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AlanineAlaA CysteineCysC GlycineGlyG HistidineHisH IsoleucineIleI LeucineLeuL MethionineMetM ProlineProP SerineSerS ThreonineThrT ValineValV ArginineArgR AsparagineAsnN AspartateAspD GlutamateGluE GlutamineGlnQ LysineLysK PhenylalaninePheF TryptophanTrpW TyrosineTyrY
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Non-standard encoded amino acids Selenocysteine Sec, U Pyrrolysine Pyl, O + +
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Amino acids bear structural similarity to each other Asparate Asparagine Glutamate Glutamine + + + +
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Amino acids bear structural similarity to each other Cysteine Selenocysteine Serine Threonine + + +
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Amino acids bear structural similarity to each other Tyrosine Phenylalanine +
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Amino acids bear structural similarity to each other Histidine Asparagine Glutamine Arginine Histidine Arginine
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Amino acids bear structural similarity to each other Histidine Tryptophan
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Amino acids bear structural similarity to each other Phenylalanine Tyrosine Phenylalanine Leucine
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Glutamate, glycine –neurotransmitters D-serine –neurotransmitter S-adenosylmethionine –methyl transfer
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Page 77 Non-peptide amino acids
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Titration curve of glycine.
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These values are the pKa’s of the free amino acids in aqueous solution. As we shall see later an aqueous solution may not represent reality
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Hydrophobic pocket
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