Harmonic Oscillator Contributions to the Thermodynamic Functions

1950 ◽  
Vol 18 (10) ◽  
pp. 1373-1379 ◽  
Author(s):  
P. Torkington
Keyword(s):  
Harmonic Oscillator ◽  
Thermodynamic Functions

DERIVATIVES OF MONOGERMANE: PART I. THE VIBRATION–ROTATION SPECTRA OF GERMYL FLUORIDE AND BROMIDE

1962 ◽  
Vol 40 (4) ◽  
pp. 579-589 ◽  
Author(s):  
J. E. Griffiths ◽  
T. N. Srivastava ◽  
M. Onyszchuk
Keyword(s):  
Harmonic Oscillator ◽  
Infrared Absorption ◽  
Thermodynamic Functions ◽  
Low Frequency ◽  
Rotational Constant ◽  
Rigid Rotator ◽  
Harmonic Oscillator Model ◽  
Infrared Absorption Spectra ◽  
Vibration Rotation ◽  
Derivatives Of

The vibration–rotation infrared absorption spectra of germyl fluoride and bromide have been observed. All of the fundamentals in GeH3F were located, and the rotational structure of the E-type bands were resolved and analyzed. The low-frequency band, ν3(a1), in GeH3Br was not observed but an estimate of its position was made from the frequencies of the combination band ν3 + ν6 and of ν6. The rotational constant A″ and the Coriolis constants ζ4, ζ5, and ζ6 were calculated for both molecules, and agreement with microwave A″ values was satisfactory. Thermodynamic functions based upon a rigid-rotator, harmonic-oscillator model have been evaluated for germyl fluoride and bromide.

Schwingungsspektren und Thermodynamische Funktionen von PF3, PCl3, PBr3, P J3, PF2Cl, PF2Br, PF2J, PFCl2, PFBr2, PCl2Br, PCl2J, PClBr2, PClJ2, PBrJ2, PBr2J, PFClBr, AsCl2Br und AsClBr2

1968 ◽  
Vol 23 (5) ◽  
pp. 588-594 ◽  
Author(s):  
A. Müller ◽  
E. Niecke ◽  
B. Krebs ◽  
O. Glemser
Keyword(s):  
Harmonic Oscillator ◽  
Infrared Spectra ◽  
Thermodynamic Functions ◽  
Frequency Data ◽  
Rigid Rotator ◽  
Temperature Range

The complete Raman and infrared spectra of PF2Cl, PF2Br, PFCl2 and PFBr2 are reported. The frequency data for several mixed phosphorus and arsenic halides (see title) given in the literature are revised and completed. Assignments are made for all spectra. Thermodynamic functions in the temperature range 200—2000 °K are calculated for all molecules, assuming the harmonic oscillator — rigid rotator approximation.

THERMO FIELD DYNAMICS AND PARA STATISTICAL MECHANICS

1988 ◽  
Vol 03 (06) ◽  
pp. 549-559 ◽  
Author(s):  
S.N. BISWAS ◽  
ASHOK DAS
Keyword(s):  
Statistical Mechanics ◽  
Harmonic Oscillator ◽  
Thermodynamic Functions ◽  
Partition Functions ◽  
Thermo Field Dynamics

Within the framework of thermo field dynamics, we derive the partition functions for a harmonic oscillator obeying parafermi and parabose statistics. The thermodynamic functions are studied for different limits of the order of the statistics and are shown to have the expected behaviour.

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