PHY971: Atomic and Electronic Structure of Matter
Michigan State University, Spring Semester 2014
Due: Wednesday, January 29, 2014, in Class
Homework #2

1. (a) (1 pt.) Prove that the diamond structure is invariant under an
inversion in the midpoint
PHY971: Atomic and Electronic Structure of Matter
Michigan State University, Spring Semester 2014
Due: Wednesday, January 15, 2014, in Class
Homework #1

1. (3 pt.) Find the number of nearest and next nearest neighbors in the
simple cubic (sc), bcc
PHY971: Atomic and Electronic Structure of Matter
Michigan State University, Spring Semester 2014
Due: Wednesday, February 12, 2014, in Class
Homework #3

1. (2 pt.) Show that in case of purely pairwise interatomic interactions
(*r*), the force cons
PHY971: Atomic and Electronic Structure of Matter
Michigan State University, Spring Semester 2014
Due: Wednesday, February 26, 2014, in Class
Homework #4
Phonon spectrum of selected Bravais lattices

The objective of this assignment is to understan
PHY971: Atomic and Electronic Structure of Matter
Michigan State University, Spring Semester 2014
Due: Wednesday, March 26, 2014, in Class
Homework #6
Electronic band structure

1. Compute and plot E(*k*) for the free electron model along the
follo
PHY971: Atomic and Electronic Structure of Matter
Michigan State University, Spring Semester 2014
Due: Wednesday, March 12, 2014, in Class
Homework #5

1. As an exercise to *interpret phonon spectra*, obtain the analytical
expressions for the freque
PHY971: Atomic and Electronic Structure of Matter
Michigan State University, Spring Semester 2014
Due: Wednesday, April 9, 2014, in Class
Homework #7
Tightbinding model of the electronic band structure

1. Using the tightbinding method and assumi