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Structural Biology Thermodynamics The First Law of Thermodynamics is the Law of Conservation of Energy Anything that happens spontaneously, that is, without an input of energy, will result in molecules being more disorganized, more random, more mixed together, and more spread out. • Keep in mind that energy released in an exergonic reaction is not necessarily released as heat. an exergonic (energy releasing) reaction is not necessarily exothermic (heat releasing). • a reaction with a negative Δ G (free energy) value may have either a positive or negative ΔH (enthalpy) value! • ENTALPY is a measure of the internal energy of a system. • the change in internal energy between reactants and products can be measured by the heat absorbed or released during the course of a reaction Kinetics vs Thermodynamics! • It is important to mention that a chemical reaction has kinetic and thermodynamic aspects. ▫ The quantity related to kinetics is the rate constant k; this constant is associated with the activation energy required for the reaction to move forward, that is, the reactivity of the reactants. ▫ The thermodynamic quantity is the energy difference resulting from the free energy (ΔG) given off during a chemical reaction, that is, the stability of the products relative to the reactants. • Matter seeks to be in its lowest energy state. This is a universal law. • when a substance is at lower energy, it is at a more stable state. • The relative energies of reactants and products decide the Thermodynamic stability Thermodynamic stability can be defined in different ways. • Reactants that convert in to products with the release of energy (Exothermic reactions) can be termed as thermodynamically stable. • Some reactions do not take place on their own. • They require activation energy to initiate the reaction. • The reaction that occurs with minimum amount of activation energy and which will give products with the release of energy, that is more than what is required to initiate the reaction, results in thermodynamically stable products. • If the ∆G is negative, meaning the products are at a lower energy than the reactants, then the reaction is thermodynamically favorable, meaning it has a reasonable likelihood of proceeding. The ∆G does not indicate how fast this reaction will happen. The reactants actually have to reach a higher energy state before they can reach the low energy state of the products. The reactants have to scale an "energy wall," called the Energy of Activation (∆ G‡). Reactions with a high ∆G‡proceed more slowly. On the other hand, reactions with a lower ∆G‡ proceed faster. Reactions with a lower ∆G‡ have a faster reaction rate, and are said to be kinetically favorable. A QUESTION • Blood collected 20 years ago from a crime scene is being used for DNA testing at a murder trial to prove the suspect was indeed at the scene of the crime. The defense lawyer argues that this test cannot be reliable, since she knows that the hydrolysis reaction (breakdown) of DNA has a negative Δ G. She concludes that therefore the DNA degraded spontaneously after all this time, and is now useless. As an expert witness for the prosecution, how can you use your knowledge of biochemistry to explain why she is mistaken? More details for those who are interested in! http://chemwiki.ucdavis.edu/Physical_Chemistry/Eq uilibria/Chemical_Equilibria/Principles_of_Chemi cal_Equilibria/Kinetically_vs_Thermodynamically_ Stable http://chemistry.tutorvista.com/inorganicchemistry/thermodynamic-equilibrium.html https://www.khanacademy.org/testprep/mcat/biomolecules/principles-ofbioenergetics/v/thermodynamics-vs-kinetics Measure of heat Measure of disorder the sum of bond energies OF FORMED BONDS SPONTANOUS EVENT… -∆G you might imagine that protein folding is an exothermic process in which folding is driven by a favorable, negative change in enthalpy. favorable hydrogen bonds, electrostatic interactions, and van der Waals interactions, the entropy of the polypeptide chain decreases dramatically NOT REALLY protein folding is DRIVEN BY ENTHALPY. However…. • the hydrophobic effect plays a major role in protein folding in water….. increase Thermodynamics of protein folding negative ΔG implies that the folding process is spontaneous Polar groups in an aqueous solvent. ΔHchain favors the unfolded structure Because the backbone and polar groups interact form stronger interactions with water than with themselves. ΔHsolvent favors the folded protein Because water interacts more strongly with itself than with the polar groups in the protein. polar groups sum of the ΔHpolar contributions is close to zero, but usually favors the folded structure for the protein slightly. The chain ΔH contributions are positive the solvent ΔH contributions are negative. Slightly negative polar groups • ΔSchain favors the unfolded state, Because the chain is much more disordered in the unfolded state. • ΔSsolvent favors the folded state, Because the solvent is more disordered with the protein in the folded state. • sum of the ΔSpolar favors the unfolded state slightly. In other words, the ordering of the chain during the folding process outweighs the other entropic factors. • The ΔGpolar that is obtained from the values of ΔHpolar and ΔSpolar for the polar groups varies somewhat, but usually tends to favor the unfolded protein!!!!! • the folding of proteins comprised of polar residues is usually a nonspontaneous process. • No proteins are made up solely of polar residues; why do you think this is? Non-polar groups in aqueous solvent. • ΔHchain usually favors the unfolded state slightly. • Once again, the reason is that the backbone can interact with water in the unfolded state. • However, the effect is smaller for non-polar groups, due to the greater number of favorable van der Waals interactions in the folded state. • ΔHsolvent for non-polar groups favors the folded state Because water interacts much more strongly with itself than it does with non-polar groups. non-polar • sum of the ΔHnon-polar favors folding somewhat. • The magnitude of the ΔHnonpolar is not very large, but is larger than the magnitude of the ΔHpolar, which also tends to slightly favor folding… non-polar groups ΔSchain of the favors the less ordered unfolded state. However, the ΔSsolvent highly favors the folded state, due to the hydrophobic effect!!!! During the burying of the non-polar side chains, the solvent becomes more disordered. The ΔSsolvent is a major driving force for protein folding. • The ΔGnon-polar is therefore negative, due largely to the powerful contribution of the ΔSsolvent. Conclusion… Adding together the terms for ΔGpolar and ΔGnon-polar gives a Measurements of this value have shown that the overall ΔG for protein folding is very small: only about –10 to –50 kJoules/mol. slightly negative overall ΔG for protein folding, and therefore, proteins generally fold spontaneously. • http://cbc.arizona.edu/classes/bioc462/462a/N OTES/Protein_Structure/protein_structure.htm