Physics 871: Problem set 4
-
The graph above is from Kittel's Quantum Theory of Solids Ed. 1.
The caption claims that it represents the free electron bands in the [111] direction for a monatomic simple cubic lattice. It
takes units of lattice spacing
a = 1, and ℏ = 1. It was embarrassingly botched: at least one branch is missing, and the degeneracies (in
parentheses) are a mess. Correct it.
-
Calculate the band energies E(k) for (a) nearly free
electrons and (b) a tight binding lattice. In (b) the
monatomic cubic lattice
with cell side a is populated
with noble gas atoms that have spherically symmetric electron orbitals,
and only nearest neightbor interactions matter.
Calculate bandwidths and energy gaps and compare them for the two cases.
-
M & A problem 25.3.
Physics
and Astronomy | University of
North Carolina
Faculty
| Undergraduate
| Graduate
| Research
| PANIC | News |
Directory
| Contact
<
br>