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As far as I know there are only a few phenomenon that cause vibration. Heat, sound, and mechanical vibration. Most materials experience all three, such as a guitar or piano string. The frequency of mechanical vibration is equal to the note, 262 Hz for middle C for instance. Sound would be at the sound's frequency. !0,000 times for second on a 10 kHz sound. Heat changes the amount the particle moves in amplitude and frequency with 10 raised to the power of 13 being the frequency.

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Q: How many times do particles in a solid vibrate per second?
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