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The same procedure was followed in treat- ing ammonia. Assuming a rigid symmetrical pyramid as the structure of the ammonia molecule, the rotational energy levels are given by the formula: 81r2 [ A +(C A)T2 ; Defining o1 = h2/87r2A k T h2 h2 r1 1 1l0- = - a2 - - - 8w2AkT 8,r2kT C Ai the rotational entropy, Sr, of the symmetrical top is Sr=R [nQ-ur I 2 . According to Villars there are two varieties of ammonia, nuclear quartet and doublet, existing in equal amounts in ordinary am- monia. For A, the moment of inertia perpendicular to the symmetry axis, (the one occurring twice), we use the value of Dickinson, Dillon and Rasetti (loc. cit.), 2.792 X 10-40 gram cm2. For C, the moment of inertia around the sym- metry axis, we use the value 3.49 X 10-40 gram cm2 given by Badger (Phys. Rev. 35, 1036 (1930)). With these constants in the two Q series of Villars, we obtain the following re- sults for the rotational entropy at 298.10: 4Sr = 13.98 2Sr = 13.98. Therefore SrNH3=13.98+R ln 2=15.36. With the same vibrational frequencies se- lected by Villars, we obtain 0.11 unit for the
Physical Review – American Physical Society (APS)
Published: Dec 1, 1931
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