Thermodynamic properties of some diatomic molecules confined by an harmonic oscillating system
| Autor: | O. J. Oluwadare, T. O. Abiola, Kayode John Oyewumi |
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| Rok vydání: | 2021 |
| Předmět: |
010302 applied physics
Physics Partition function (statistical mechanics) General Physics and Astronomy Expectation value Massieu function 01 natural sciences Diatomic molecule Schrödinger equation symbols.namesake 0103 physical sciences symbols Atomic number Physics::Chemical Physics Atomic physics Ground state Harmonic oscillator |
| Zdroj: | Indian Journal of Physics. 96:1921-1928 |
| ISSN: | 0974-9845 0973-1458 |
| Popis: | In this study, the one-dimensional Schrodinger equation with harmonic oscillator is solved within the formalism of proper quantization rule and obtain the energy levels. By employing Hellmann–Feynman theorem, the expectation value for the square of position $$x^{2}$$ is evaluated and thereafter derived an expression for the diamagnetic susceptibility. Furthermore, using the energy levels equation, the expressions for the partition function, thermodynamic properties and the Massieu function were obtained. Using the spectroscopic parameters for the selected diatomic molecules, some graphs were plotted and reported. The graphical results show that diamagnetic susceptibility depends on the atomic number (z), and number of states n and that molecules in the ground state experienced the strongest effect of diamagnetic susceptibility. It was also found that the thermodynamic properties of some diatomic molecules depend not just on temperature but also on the vibrational frequencies (ω) and the number of states (n). The number of accessible vibrational states depends on temperature and the masses of the molecules. The heaviest molecule has the highest accessible vibrational state. |
| Databáze: | OpenAIRE |
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