By Shalom Eliezer
Книга basics of Equations of nation basics of Equations of StateКниги Физика Автор: Shalom Eliezer, A. ok. Ghatak, Heinrich Hora Год издания: 2002 Формат: pdf Издат.:World medical Publishing corporation Страниц: 384 Размер: 11,1 ISBN: 9810248334 Язык: Английский0 (голосов: zero) Оценка:Presents an in depth pedagogical account of the equation of kingdom and its purposes in numerous vital and fast-growing subject matters in theoretical physics, chemistry and engineering.
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69) where a = 2 for symmetric diatomic molecules like 0 2 , N 2 etc. and a = 1 for asymmetric molecules like CO, NO etc. 73) It is of interest to note that (for T » 0T) the expressions for ET and (c„)r are the same as obtained by using the law of equipartition of energy. Since the rotational characteristic temperatures are small compared with the room Fig. 3.
61) where L represents the angular momentum of the molecule about the center of mass. 62) The above expression also follows from the footnote on page 42. Since each rotational state is (2;'+ l)-fold degenerate, the rotational partition Fig. 2. 57). The dashed line corresponds to the classical value. 4. 64) represents the characteristic temperature for rotation. 65) It is obvious that for 6JT > 1, the successive terms decrease with extreme rapidity and qt can be evaluated very easily. 66) in the limit of T « 6r.
3 The vibrational partition function The vibrational energy levels of a diatomic molecule are approximately given byf £yn = (n + %)h(o n = 0,1,2,... 53) 112 where co = (k/fi) , k being the force constant and p ( = m1m2/(m1 + m2)) is the reduced mass of the molecule. ] x= ^| In the simplest model describing the vibrational motion of a diatomic molecule the potential energy function is given by V(r) = kW-rtf where k is the force constant and re the equilibrium separation of the two atoms. The radial part of the Schrodinger equation is given by (see any text on quantum mechanics) 2 d2«R ldjt 22 24 2 2 drlr rdr r dr ft h \_L Kj+m* R(r) = 0 2ur Ifir2 where p.