| 11. | Since each vibrational modes contributes to two quadratic terms in the Hamiltonian, you get:
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| 12. | For a linear molecule, the number of vibrational modes is:
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| 13. | Exactly as in a laser, where you have many photons in the same vibrational mode.
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| 14. | This is because for each vibrational mode, there is a potential and kinetic energy component.
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| 15. | In organic semiconductors charge carriers couple to vibrational modes and are referred to as polarons.
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| 16. | For example, proteins typically contain thousands of atoms and therefore have thousands of vibrational modes.
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| 17. | :You first need to compute the number of degrees of freedom for the vibrational modes.
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| 18. | Hence polarized Raman spectroscopy can provide detailed information as to the symmetry labels of vibrational modes.
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| 19. | These low-energy vibrational modes are basically Fourier modes, and superposition is basically . . . superposition.
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| 20. | The first is that each lattice vibrational mode is well described by a quantum harmonic oscillator.
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