Valence electrons in insulators

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Main Question or Discussion Point

I was wondering why the valence electrons aren't free to move in insulators? Thanks for any help in advance.
 

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I was wondering why the valence electrons aren't free to move in insulators? Thanks for any help in advance.
In fact they move with their group velocities but since the band is full, movement of the electron at k would neutralize the movement of another one at -k.
 

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