Question: Show that the Bloch function given in Equation (6.1) meets the requirement that the electron density, (r) = 2 (r) = * (r)(r),

Show that the Bloch function given in Equation (6.1) meets the requirement that the electron density, ρ(r) = ψ2(r) = ψ*(r)ψ(r), must be periodic according to Equation (6.2).

Equation (6.1)

w(r) = ekru(r)

Equation (6.2)

w(r) = y(r + Na)

w(r) = ekru(r)

Step by Step Solution

3.36 Rating (152 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Equation 62 gives r that we plug into the formula for ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Solid State Materials Chemistry Questions!