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13. The Boltzmann Distribution
Consider a
isolated
system of
N
molecules that has the set {
±
i
}
energy levels
associated with it.
Since the system is isolated the total energy,
E,
and the total number of particles
will be constant.
The total energy is given by
E
=
X
i
N
i
±
i
,
(13.1)
where
N
i
is the number of particles in energy state
i.
The total number of particles is, of course,
N
=
X
i
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Unformatted text preview: N i (13.2) The number of con ﬁ gurations for the system is then given by the number of distinct permutations of the system W = N ! N 1 ! N 2 ! ··· . (13.3) A system in equilibrium always tries to maximize entropy and minimize energy and so the equilibrium con ﬁ guration is a compromise between these two cases . 94 94...
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This note was uploaded on 01/08/2012 for the course CHEM 351 taught by Professor Makin during the Spring '09 term at SUNY Stony Brook.
 Spring '09
 MAKIN
 Mole

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