How does constituent particles of solids oscillate about their mean position in solids ? Is this the reason behind their rigidity ?

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Please find the solution to the asked query:

The solid particles have strong intermolecular forces of attraction and they are very close to each other. Because of this reason ,  the solids have a fixed shape and size and are rigid. There is no translatory motion observed in solids. They have only vibrational motion. So that they can oscillate only around their mean position. 
Yes, As this oscillatory motion is around their mean position only, this does not hamper the rigidity of the solids.

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 these molecules occupy fixed positions, but these molecules are not stationary. They show motion known as the vibrational motion. These particles oscillate or vibrate about their mean position like the pendulum going from side to side constantly. This vibrational energy that solids possess is less. But if this energy is increased by supplying the solid with thermal or the heat energy, in that case, the increase in temperature can increase the vibrations and weaken the intramolecular forces. The particles will then become free and go into the liquid and the gaseous state. Therefore, low thermal and vibrational energy preserves the solid state. 
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