CHEMISTRY 3331 Summary about isomers Isomers Constitutional (structural) Same formula Different connectivity Stereoisomer Same formula, same connectivity Different spatial arrangement Configurational Cannot be interconverted unless bonds are broken Enantiomers Mirror images that are not superimposable Diastereomers Config. isomers that are NOT mirror images (includes cis/trans isomers) Conformational Rapidly interconverts without breaking bonds, usually cannot isolate C—C single bond rotation conformers CH 4: Study of Chemical Reactions – We study reactions by investigating reaction mechanisms. Mechanisms is a complete step-by-step description of the bond-making and bond-breaking steps in reactions; it depends on: 1) thermodynamics- which is the study of energy that accompanies a chemical reaction. 2) kinetics—which is the study of reaction rates. Study of reactions can be organized in 2 ways: 1) what kinds of reactions occur 2) how reactions occur etc. 1. Types of Reactions o Addition Reaction: A + B C o Elimination Reaction (reverse of addition rxn) : A B + C o Substitution Reaction: A + B C + D o Rearrangement Reaction 2. How Reactions Occur - Mechanisms Bond-breaking and bond-making can occur in 2 ways: 1) Homolytic bond cleavage (radical): 2) Heterolytic bond cleavage (polar): Good example is chlorination reactions. Note that radical is species containing an unpaired electron. What are the important characteristics? : 1) Needs energy to start 2) Most efficiently the reaction is initiated by light of wavelength that is absorbed by Cl2. 3) One photon introduced into reaction mixture produces many molecules of product. The following is mechanism that is consistent with all these facts. It contains 3 steps 1) Initiation- generates reactive intermediate 2) Propagationreactive intermediate reacts with stable molecule to form another reactive intermediate, allowing the chain to continue Notice the arrows are different than when 2 electrons move. overall process is a chain reaction. 3) Termination- which is side reaction that destroy reactive intermediates and slows or stops reaction. Several possible The second possibility is to break bond in heterolytic way. This kind of bond breaking is characteristic of polar reactions. The electrons in this case move in pairs. Certain bonds are polar— If break this bond, electrons tend to go with Cl If break this bond, electrons tend to go with C 3. Equilibria and Rates A) Equilibria Equilibrium concentrations of reactants and products are governed by the equilibrium constant of the reaction. If K > 1 equilibrium lies to the right. If K < 1, equilibrium lies to the left In any reactions an energy change must occur since the overall energy required to break all necessary bonds really equals the energy given off by forming new bonds. We call that change in energy Gibbs free energy GO = Free energy change. 𝑐𝑎𝑙 It may be expressed as GO = - RTlnKeq (R = the gas constant, 1.987 , T = temp in Kelvin) 𝐾∙𝑚𝑜𝑙 If K = 1 , G = 0 then product and SM have same free energy and thus are in equal concentration. K=1 K>1 K<1 G = 0, product and SM have same free energy and thus are in equal concentration. G = negative, exothermic (favorable) G = positive, endothermic (*show which direction it goes*) G is dependent on 2 factors: GO = HO - TSO SO = entropy term, HO = standard heat of reaction, usually larger than TSO For S, positive values indicate that products have more freedom of motion than reactants and it makes a favorable (negative) contribution to G. H, the change in enthalpy is also called the heat of reaction—it is the amount of heat evolved or consumed in the course of reaction. It can be related to the energies required to break and form bonds. HO = HO (bonds broken) — HO (bonds formed) Negative = exothermic (favored) Positive = endothermic (unfavorable) Table 4-2 gives some values of B.D.E HO for reaction: Bonds Broken H3C—H 104 kcal/mol Cl—Cl 58 kcal/mol kcal/mol HO = – = - Bonds Formed H3C—Cl 84 kcal/mol H—Cl 103 kcal/mol kcal/mol kcal/mol (very exothermic reaction) propagation steps First propagation step: Break C—H bond Form H—Cl bond + 104 kcal/mol - 103 kcal/mol + 1 kcal mol Second propagation step: Break Cl—Cl bond Form CH3—Cl bond + 58 kcal/mol - 84 kcal/mol - 26 kcal mol Overall -25 kcal/mol B) Kinetics (rates) Kinetics is the study of rxn rates. Rate equation is the relationship between concentration of reactants and observed reaction rate The rate equation must be determined experimentally. Consider energy distribution of molecules at some constant temp Boltzmann- Gaussian Distribution For the chemical reaction to occur, molecules need to possess a certain amount of energy called Eact. When Eact = E1 a greater fraction of molecules possess needed energy than when Eact = E2. From this we can get the rate constant of the reaction kr = Ae-Ea/RT Ea = the minimal kinetic energy molecules need to react e-Ea/RT relates to fraction of collisions where molecules have that energy R= gas constant (1.987 cal/ K mol) e = 2.718 (base of natural logarithm) A = frequency factor; frequency of collisions and fraction of collisions w/correct orientation Temperature effects on rate are very large. Basically, raising temp by 10 o makes rxn faster 2-4x. How do we explain that? in 2nd case more molecules have E>Ea C) Reaction Profiles 1) One-step reactions Consider change in the structure of system as a reaction proceeds Bond breaking- requires energy Bond forming- releases energy Overall energy- HO for the rxn Reaction Coordinates – Potential Energy These are 1 step reactions (no intermediates) Activation energy – energetic difference between SM (reactants) and TS. Heat of reaction—difference in energy between SM and TS Large Ea = slower rxn There is activation barrier even for very exothermic processes: CH4 + 2 O2 CO2 + 2 H2O + energy (not spontaneous) The top of energy barrier called “TS”. Equal probability of going to products or SM. TS is a transient, high energy state; we cannot easily deduce its exact structure. This structure is important because it tell us how the reaction occurs. 2) Multiple-step reactions Some reactions have more than one step. Between each step, an intermediate is represented by a minimum on reaction coordinate. Stability of intermediate is a function of depth of this well 1. Chlorination of methane: The lower the energy barrier (Ea), the larger the rate constant (k) thus k2 > k-1 > k1 > k-2 Slow forward step (containing highest energy TS) is called the rate determining step. How can we prove that 1st step is RDS? – Use CD4, deuterated methane (H with 2 neutrons), instead of CH4. o C—D bond stronger than C—H bond so, reaction where C—D(H) bond breaking is RDS ; will go slower for C—D o Chlorination of CH4 is ca 12x faster than chlorination of CD4 C—H(D) breaking is RDS. 2. Halogenation of higher alkanes Problem with halogenation is that we obtain mixtures, even in the case of methane. Product also reacts: What happens for higher alkanes? – In this case, situation is worse than in case of methane; most alkanes give mixture of products. Look at example of isomeric butane, how many different monosubstituted products can we obtain? (monosubstitution means introductin one atom in molecule, in this case one chlorine) We need to take into account both product rations and number of each type of H and we can calculate relative reactivities of three types ( 1o, 2o, 3o hydrogens) towards chlorination Hydrogens: 1o hydrogen: H attached to primary C (CH3 groups) 2o hydrogen: H attached to secondary C 3o hydrogen: H attached to tertiary C Relative reactivity of 1o vs 2o vs 3o H’s per H substituted reactivity 𝐶𝐻3 30 4 20 1 = × = = 𝐶𝐻2 70 6 70 3.5 ratio 𝐶𝐻3 65 1 7 1 = × = = 𝐶𝐻 35 9 35 5 amt of H’s Relative reactivity towards chlorination: R3CH > R2CH2 > RCH3 5.0 3.5 1.0 Reflect the relative stability of intermediate radicals R3C∙ > R2CH∙ > RCH2∙ This is also reflected in bond-dissociation energies Is there a way to correlate TS structure with reactant or product structure? – We can draw this using example of chlorination of propane vs bromination of propane: The step that determines the structure of product is the following— How can we put these 2 facts- selectivity and energetics of reaction- together? Look at reaction diagram for these processes: Endothermic process: TS resembles products Exothermic process: TS resembles SM Hammond Postulate Related species that are similar in energy are also similar in structure. The structure of a TS resembles the structure of closest stable species. o Endothermic rxn- TS close in structure to products o Exothermic rxn- TS close in structure to reactants According to the above postulate, why is bromination of propane more selective than chlorination? -Let’s draw the reaction energy diagram for each case The larger energy difference in TS, the more selective the reaction will be. 1. Bromination selectivity determining step is endothermic – products higher in energy – similar in structure to TS – 3 kcal/mol difference in product energy translates to nearly the same difference in TS energy that leads to two products – selective reaction 2. Chlorination – exothermic – TS similar in energy to reactants – very small difference in TS energies – non-selective reaction DO NOT COVER 4-15 (RADICAL INHIBITORS) 4. Reactive intermediates – Which are short-lived species that are never present in high concentrations because they react as quickly as they are formed. We will cover: A) Carbocation – trivalent C bearing a positive charge Electrophile, sp2 hybridized 6 e- species Electron donating groups stabilize positive charge, alkyl groups e- donate by hyperconjugation (orbital overlap, Fig 4-14). Stability *Resonance also stabilizes carbocation* B) Free radicals are also sp2 hybridized and planar Since they are also electron deficient, they follow the same stability order as carbocations and can also be stabilized by resonance. C) Carbanion is a trivalent C with a negative charge—hybridization changes to sp3 Because alkyls are e- donating, they destabilize negative charge. However, resonance stabilizes. Notice the stability order of carbanions is opposite from the cations and radicals: D) Carbenes: uncharged divalent carbon. Sp2 hybridized Example of carbene generation-- Carbenes are very reactive and dimerize— React with double bonds to form cyclopropanes—