# 2012 2012 Homeworks

2014.03.19 23:54

**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.

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