Big Chemical Encyclopedia

Chemical substances, components, reactions, process design ...

Articles Figures Tables About

Fermion functions degeneracy

The requirement for symmetric or antisymmetric wave functions also applies to a system containing two or more identical composite particles. Consider, for example, an molecule. The nucleus has 8 protons and 8 neutrons. Each proton and each neutron has i = j and is a fermion. Therefore, interchange of the two nuclei interchanges 16 fermions and must multiply the molecular wave function by (—1) = 1. Thus the molecular wave function must be symmetric with respect to interchange of the nuclear coordinates. The requirement for symmetry or antisymmetry with respect to interchange of identical nuclei affects the degeneracy of molecular wave functions and leads to the symmetry number in the rotational partition function [see McQuarrie (2000), pp. 104-105]. [Pg.271]

Notice that the only difference between the two partition functions is the index on the summations. For boson nuclei, odd / values have a certain nuclear degeneracy and even / values have another for fermion nuclei, the nuclear degeneracies are switched. [Pg.647]


See other pages where Fermion functions degeneracy is mentioned: [Pg.151]    [Pg.561]    [Pg.230]    [Pg.349]    [Pg.669]    [Pg.68]    [Pg.230]    [Pg.230]    [Pg.669]    [Pg.313]    [Pg.288]    [Pg.158]    [Pg.60]    [Pg.97]    [Pg.9]   
See also in sourсe #XX -- [ Pg.97 ]




SEARCH



Degeneracy

Fermion functions

Fermions

© 2024 chempedia.info