Anharmonicity
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Anharmonicity is the deviation of a system from being a harmonic oscillator. An oscillator that is not oscillating in simple harmonic motion is known as an anharmonic oscillator where the system can be approximated to a harmonic oscillator and the anharmonicity can be calculated using perturbation theory. If the anharmonicity is large then other numerical techniques have to be used.
Anharmonic Ratio (Cross ratio) If A, B, C, D all lie on a straight line then the anharmonic ratio is :
In the complex plane the anharmonic Ratio is :
- There are six distinct anharmonic ratios depending on the order of which the points are chosen.
- Anharmonicity plays a role in lattice and molecular vibrations, in quantum oscillations, and in Acoustics,
