2012 Homeworks

HW #1

Essay about "Physics and Me"

HW #2 (Energy Units)

There are many different energy units: J, kcal, kWh, BTU, eV, nm, K, 1/cm. Examine their meanings and conversion relationships.

HW #3 (Krane)

Example 2.3

Problem 21

HW #4 (Krane Chap.3)

Example 3.4

Problem 9

HW #5

1. Explain the Bohr's quantization rule with de Broglie's waves.

2. Explain Heisenberg uncertainty principle by using a wave picture of particles.

HW #6

Find the ground-state energy and sketch the ground-state wavefunction of 1D Schrodinger equation for

1. the particle-in-a-box problems

2. the simple harmonic oscillator problems

HW #7

1. Sketch radial and spherical wave functions of 1s, 2s, 2p, 3s, 3p, 3d orbitals.

2. Make cloud-like 3D wave finctions of 1s, 2s, 2p, 3s, 3p 3d orbitals.

HW #8

1. Sketch molecular orbitals of N2 and O2 and mark their electron occupations.

2. Draw the Fermi-Dirac distribution ar zero and finite temperature.

HW #9

1. Draw lattives of SC, BCC, FCC, HCP.

2. Draw (100), (110), (111) planes of SC.

HW #10

1. Find the reciprocal lattice vectors of graphene.

2. Draw the first Brillouin zone of graphene.

HW #11

1. Discuss about crystal field splitting of d orbitals for tetrahedral and octahedral symmetries.

2. Draw dispersion curves of acoustic and optical phonons.

HW #12

1. Draw and explain phnon DOS's for Debye solid, Einstein solid, and real solid.

2. Derive the Hall coefficient.