Wrong construing of the Boltzmann factor | ||||||||
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As we know probability of finding a system in
one of its accessible states is proportial to the Boltzmann
factor. It is shown that contrary to what is thought at present, in
this proportion the energy appearing in the Boltzmann factor is
not a variable but it is a constant and the variable is the state
accessible for the system having this constant energy. So, what at
present is accepted as Boltzmann factor is not real. Deduction of
the Maxwell velocity distribution as an instance of the
consequences of the real Boltzmann factor, and the first deduction
of the relation E=h.nu as an instance of the consequences of the
wrong Boltzmann factor are presented. A logical review of some of
the fundamental elements of the statistical mechanics, that also
contains some new viewpoints, has been necessary. A factor is
introduced in a general expression for molar specific heat which
plays the role of partition (not equipartition) of energy and
giving suitable amounts to it all the practical cases including
ones related to ideal gases and crystalline solids are covered.
(11) Wrong construing of the Boltzmann factor (pdf)