* Temperature: As temperature increases, particles vibrate with greater amplitude and frequency.
* Material: Different materials have different bonding strengths and atomic masses, which affect vibration frequency.
* Crystal structure: The arrangement of atoms in a solid influences how vibrations propagate.
Here's a simplified way to think about it:
* Lower frequencies (10^12 Hz or less): These vibrations are related to the collective motion of many atoms, like sound waves or lattice vibrations.
* Higher frequencies (10^13 Hz and above): These are related to the individual vibrations of atoms within the solid, and are often in the infrared or visible light spectrum.
Therefore, there's no single answer to how many times particles vibrate per second. It's a range of frequencies that varies with factors mentioned above.