Just as light is a wave motion that is considered as composed of particles called photons, we can think of the normal modes of vibration in a solid as being particle-like.
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The normal modes of vibration of polyatomic molecules are independent of each other but each normal mode will involve simultaneous vibrations of different parts of the molecule such as different chemical bonds.
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Whereas the trigonometric functions in a Fourier series represent the fundamental modes of vibration in a string, the spherical harmonics represent the fundamental modes of vibration of a sphere in much the same way.
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Whereas the trigonometric functions in a Fourier series represent the fundamental modes of vibration in a string, the spherical harmonics represent the fundamental modes of vibration of a sphere in much the same way.
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The outer core was determined to be liquid from observations showing that compressional waves pass through it, but elastic normal modes of vibration of Earth caused by large earthquakes were consistent with a liquid outer core.
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Normal modes of vibration progression through a crystal in 1D . The amplitude of the motion has been exaggerated for ease of viewing; in an actual crystal, it is typically much smaller than the lattice spacing.
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For a bent molecule like water H 2 O, a similar calculation gives modes of vibration, and 3 ( translational ) + 3 ( rotational ) + 6 ( vibrational ) = 12 degrees of freedom.
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A concrete physical application involves the problem of hearing the shape of a drum : given the fundamental modes of vibration that a drumhead is capable of producing, can one infer the shape of the drum itself?
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An ideal impact to a structure is a perfect impulse, which has an infinitely small duration, causing a constant amplitude in the frequency domain; this would result in all modes of vibration being excited with equal energy.
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Sharma says that " Vedic thought discusses a unified field of pure, non-material intelligence and consciousness whose modes of vibration manifest as the material universe . " Disease results from losing connection with this underlying field of intelligence.
