The Nobel Prize in Chemistry 1956

NIKOLAY NIKOLAEVICH SEMENOV

Reaction Mechanism - elementary process

A mechanism for a reaction is a collection of elementary processes (also called elementary steps or elementary reactions) that explains how the overall reaction proceeds.

A mechanism is a proposal from which you can work out a rate law that agrees with the observed rate laws. The fact that a mechanism explains the experimental results is not a proof that the mechanism is correct. A mechanism is our rationalization of a chemical reaction, and devising mechanism is an excelent academic exercise.

The animation here shows an elementary step of two molecules coliding with each other and exchange a hydrogen atom in the process. Since elementary processes are the language of mechanism, let us first define elementary processes or steps.

Elementary Processes or Steps

An elementary process is also called elementary step or elementary reactions. It expresses how actually molecules or ions react with each other. The equation in an elementary step represents the reaction at the molecular level, not the overall reaction. Based on numbers of molecules involved in the elementary step, there are three kinds of elementary steps: unimolecular step (or process), bimolecular process, and trimolecular process.

An elementary step is proposed to give the reaction rate expression. The rate of an elementary step is always written according to the proposed equation. This practice is very different from the derivation of rate laws for an overall reaction.

When a molecule or ion decomposes by itself, such an elementary step is called a unimolecular step (or process). A unimolecular step is always a first order reaction. The following examples are given to illustrate this point:

O3 = O2 + O, Rate = k [O3] or in general A = B + C + D, Rate = k [A]
A* = X + Y, Rate = k [A*]
A* represents an excited molecule.

A bimolecular process involves two reacting molecules or ions. The rates for these steps are 2nd order, and some examples are given to illustrate how you should give the rate expression. The simulation illustrates a bimolecular process.

NO + O3 = NO2 +O2, Rate = k [NO] [O3]
Cl + CH4 = HCl + CH3, Rate = k [Cl] [CH4]
Ar + O3 = Ar + O3*, Rate = k [Ar] [O3]
A + A = B + C, Rate = k [A]2
A + B = X + Y, Rate = k [A] [B]
A trimolecular process involves the collision of three molecules. For example: O + O2 + N2 = O3 + N2, Rate = k [O] [O2] [N2]
O + NO + N2 = NO2 + N2, Rate = k [O] [NO] [N2]
The N2 molecules in the above trimolecular elementary steps are involved with energy transfer. They can not be canceled. They are written in the equation to give an expression for the Rates. In general, trimolecular steps may be, A + A + A = products, Rate = k [A]3
A + A + B = products, Rate = k [A]2 [B]
A + B + C = products, Rate = k [A] [B] [C]
Three molecules collide at an instant is rare, but occasionally these are some of the ways reactions take place.

Elementary processes are written to show how a chemical reaction progresses leading to an overall reaction. Such a collection is called a reaction mechanism. In a mechanism, elementary steps proceed at various speeds. The slowest step is the rate-determining step. The order for that elementary process is the order of a reaction, but the concentrations of reactants in that step must be expressed in terms of the concentrations of the reactants.

Deriving Rate Laws From Reaction Mechanisms

The following example illustrates how elementary steps are used to represent a reaction mechanism. In particular, a slow step in a mechanism determines the rate of a reaction.

Problem 1

If the reaction 2 NO2 + F2 = 2 NO2F follows the mechanism, i. NO2 + F2 = NO2F + F (slow)
ii. NO2 + F = NO2F (fast)
Work out the rate law.

Solution
Since step i is the rate-determining step, the rate law is

        1  d[NO2]
     - --- ------  =  k [NO2] [F2]
        2    dt
Addition of i. and ii. gives the overall reaction.

Discussion:
This example illustrates that the overall reaction equation has nothing to do with the order of the reaction. The elementary process in the rate-determining step determines the order.

Other possible elementary steps in this reaction are:

F + F -> F2
F + F2 -> F2 + F
NO2F + F -> F + NO2F
but they do not lead to the formation of products.

To propose a mechanism requires the knowledge of chemistry to give plausible elementary processes. A freshman in chemistry will not be asked to propose mechanisms, but you will be asked to give the rate laws from a given mechanism.

Summary

The number of particle involved in an elementary step is called the molecularity, and in general, we consider only the molecularity of 1, 2, and 3. Types of elementary steps are summarized below. In the table, A, B, and C represent reactants, intermediates, or products in the elementary process.

Molecularity Elementary step Rate law
1 A -> products rate = k [A]
2 A + A -> products
A + B -> products
rate = k [A]2
rate = k [A] [B]
3 A + A + A -> products
A + 2 B -> products
A + B + C -> products
rate = k [A]3
rate = k [A] [B]2
rate = k [A] [B] [C]
Nikolai Nikolaevic Semenov was born in Saratov on April 3, 1896. He graduated from Petrograd University in 1917 and in 1920 he took charge of the electron phenomena laboratory of the Leningrad Physico-Technical Institute. He lectured at the Polytechnical Institute and was appointed Professor in 1928. In 1931, he became Director of the Institute of Chemical Physics of the U.S.S.R. Academy of Sciences (which has moved to Moscow in 1943); from 1944 he has been a Professor at the Moscow State University. Semenov's outstanding work on the mechanism of chemical transformation includes an exhaustive analysis of the application of the chain theory to varied reactions and, more especially, to combustion processes. He proposed a theory of degenerate branching which led to a better understanding of the phenomena associated with the induction periods of oxidation processes. Semenov has made valuable contributions to the field of molecular physics; he has also carried out investigations on electron phenomena, dielectric breakdown and the propagation of explosive waves. Semenov has written two important books concerned with his work. Chemical Kinetics and Chain Reactions was published in 1934 with an English edition in 1935. It was the first book in the U.S.S.R. to develop a detailed theory of unbranched and branched chain reactions in chemistry. Some Problems of Chemical Kinetics and Reactivity, first published in 1954, was revised in 1958; there are also English, American, German, and Chinese editions. He became a Corresponding Member of the U.S.S.R. Academy of Sciences in 1929 and Academician in 1932: he was awarded five Orders of Lenin and the Order of Red Banner of Labour. He is a member of the Chemical Society (London), Foreign Member of the Royal Society, and foreign member of the American, Indian, German, and Hungarian Academies of Sciences. He also holds Honorary Doctorate degrees of Oxford and Brussels Universities, and since 1960 he has been Chairman of the All-Union Society for Propagation of Political and Scientific Knowledge. He married Natalya Nikolaevna Semenova; they have one son and one daughter.