Question

Consider a free electron, empty lattice model with effective mass m* in a simple cubic crystal with direct lattice distance a, and reciprocal lattice vectors of length a. Find the energies at the high symmetry points Г, X, M and R and indicate the zone boundary rsion along TX, TR, Г b. Find the expression for the lowest energy band in the XM direction. Sketch the Energy band diagram along RIXM「 c.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Consider a free electron, empty lattice model with effective mass m* in a simple cubic crystal...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Consider the free electron energy bands of an fcc crystallattice in the empty lattice approximation...

    Consider the free electron energy bands of an fcc crystal lattice in the empty lattice approximation in the reduced zone scheme in which all k’s are in the first Brillouin zone. Plot in the [111] direction the energies of all bands up to 6 times the lowest band energy at the zone boundary at = (2?/a)( 1/2 , 1/2 , 1/2 ). Let this be the unit of energy. This problem shows why band edges need not be necessarily at...

  • (b) A caesium-bromide crystal has a simple cubic lattice with lattice constant a= 4.30 A. The...

    (b) A caesium-bromide crystal has a simple cubic lattice with lattice constant a= 4.30 A. The basis of the crystal contains one caesium atom at fi = (0,0,0) and one bromine atom at r2 = (a/2, 2/2,a/2), where the vectors and are expressed with respect to the Cartesian basis vectors i, j, k. (i) The relative atomic mass of Cs is 133 amu and the relative atomic mass of Br is 80.0 amu, where I amu = 1.66 x 10-2...

  • Bottom pictures are 7.7 for context 7.4 Repeat the calculation of Section 7.7 for the empty...

    Bottom pictures are 7.7 for context 7.4 Repeat the calculation of Section 7.7 for the empty lattice but for the foc case and the [111] direction. 7.7 The Empty Lattice and Simple Metals We again use our imaginary powers to control the strength of the potential. We assume a finite potential to define the lattice and then decrease it to an insignificantly low value so that the electrons become free. This is the empty lattice: it is a 'ghost' lattice,...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT