Question

The relation between energy and wave vector in the reciprocal space for free electron is ________ and the movement of electron in periodic potential is dependent on_

Answer 1

Answer:

The relation between energy and wave vector in the reciprocal space for free electron is PARABOLIC , and the movement of electron in periodic potential is dependent on effective mass of the electron  .

Explanation:

energy and wave vector in the reciprocal space diagram is shown below .

An electron in crystal may behave as if it had a mass different   from the free electron mass   .

There are crystals in which the  effective mass of the carriers is much larger or much smaller  than  free electron mass .

The effective mass may be anisotropic, and it may even

be negative.

The important point is that the electron in a periodic    potential is accelerated relative to the lattice in an applied  electric or magnetic field as if its mass is equal to an effective  mass