1. Higher order anharmonicity terms can be accounted by using perturbative methods. 2. In 1D thermal expansion is cased by anharmonicity of interatomic potential only. 3. The difference is not exact because there is anharmonicity in both vibrations. 4. This trend matches the anharmonicity found in real molecules. 5. However, when anharmonicity is taken into account, the transitions are weakly allowed. 6. Where ? and ( ?x ) indicates respectively, the basic vibrational frequency and the anharmonicity constant. 7. It is a measure of the anharmonicity of the system and closely related to the thermal expansion. 8. However, when the vibrational amplitudes are large, for example at high temperatures, anharmonicity becomes important. 9. In classical mechanics, "'anharmonicity "'is the numerical techniques have to be used. 10. The technical terms for the subjects of his studies are anharmonicity , asphericity, anelasticity, as well as anisotrophy.
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