PH 575 Introduction to Solid State Physics, Spring 2017

  • Instructor: (Spring 2017) Prof. Ethan Minot, Office: Weniger 417. Office hours Tuesdays 1-3pm and by appointment.
  • TA: (Spring 2017) Mitchell Senger
  • Textbook: See course information
  • Class Meetings: MWF 3.00pm - 3.50pm, Weniger 304

Week 1

DayTopicWhat was coveredAssignments
1Mon 4/3Atomic orbitals Advertisement for solid state physics intro_presentation2017.pdf. Set up key questions: How electrons are distributed in space, energy and momentum. Starting point: Atomic orbitals. “Tutorial” based on hydrogen atom - develop the mathematical language for wave functions, and some visual representation methods day_1_2017.pdf Complex number practice
2Wed 4/5Atomic orbitalsQuiz question about visualizing an atomic orbital quiz_1.pdf. The analytical expressions for the first 25 H-atom orbitals day2_handout.pdf. Discuss patterns within the set of wavefunctions. Group wavefunctions together that have the same orbital angular momentum (s, p, d, f etc.). Orbital angular momentum is related to degeneracy. Group wavefunctions together that have similar energy. Define the quantum numbers n, l and m. day_2_2017.pdf hw1 updated
3Fri 4/7Atomic orbitals The patterns within the set of H-atom wavefunctions help us develop chemical intuition. Hybridization of degenerate wavefunctions. Introduce operator notation for Schrodinger equation. day_3_2017.pdf quiz_3.pdf

Week 2

DayTopicWhat was coveredAssignments
4Mon 4/10Atomic orbitals Orthogonal wavefunctions. Bra-ket notation. Matrix representation of an operator. quiz_2.pdf, day_4_2017.pdf hw1 question 5 hint
5Wed 4/12Molecular orbitalsVector notation to represent wavefunctions. Two protons and an electron. Finding the ground state wavefuction. day_5_2017.pdf, quiz_4.pdfhw1 soln
6Fri 4/14Molecular orbitals Nomenclature: overlap integral, on-site integral and hopping integral. Definite integral expressions for on-site integral and hopping integral. Discuss sign and magnitude. Nomenclature bonding orbital, anti-bonding orbitals, symmetric combination, anti-symmetric combination. The idea of constructive/destructive interference when the atomic orbitals in an LCAO state overlap. The idea of bonding orbitals with enhanced electron density between the nuclei. day_6_2017.pdf, quiz_5.pdf hw2 updated

Week 3

DayTopicWhat was coveredAssignments
7Mon 4/17Molecular orbitalsPractice translating from bra-ket notation to an energy. Dipole nature of water explained by on-site integrals. Sigma bonding/antibonding. Pi bonding/antibonding. Solving the full S. Eqn to demonstrate hopping behavior and the relationship to the hopping integral. day_7_2017.pdf, quiz_6.pdf
8Wed 4/19The chain of atoms Introduction: the energy level diagram of an extended solid. Chain of 4 protons. Periodic boundary conditions. The elegant solutions when periodic boundary conditions are assumed. Modeling the four lowest-energy wavefunctions using playdough. day_8_2017b.pdf, quiz_7.pdf hw2 due (in class)
9Fri 4/21The chain of atoms Assigning each LCAO wavefunction a momentum value. Plotting energy as a function of momentum. Generalizing the LCAO solution for a chain of any length. day_9_2017.pdf, quiz_8.pdf hw3

Week 4

DayTopicWhat was coveredAssignments
10Mon 4/24The chain of atomsQuiz question: Phase-colored maps of wavefunctions shown on screen, determine k. Define the first Brillouin zone. Define density of state in 1d. day_10_2017.pdf, moleculear_orbitals_for_chain.pdf
11Wed 4/262d crystalsIntegrating density of states. quiz_9b.pdf. Small group activity with tessellating paper tiles. Define the primitive unit cell. Define the Bravais lattice. Define the primitive lattice vectors. day_11_2017.pdf
12Fri 4/28 hw4_2017b.pdf

Week 5

DayTopicWhat was coveredAssignments
13Mon 5/1
14Wed 5/3
15Fri 5/5midterm?

Week 6

DayTopicWhat was coveredAssignments
16Mon 5/8
17Wed 5/10
18Fri 5/12

Week 7

DayTopicWhat was coveredAssignments
19Mon 5/15
20Wed 5/17
21Fri 5/19

Week 8

DayTopicWhat was coveredAssignments
22Mon 5/22
23Wed 5/24
24Fri 5/26

Week 9

DayTopicWhat was coveredAssignments
Mon 5/29MEMORIAL DAYno class
25Wed 5/31poster session?
26Fri 6/2

Week 10

DayTopicWhat was coveredAssignments
27Mon 6/5
28Wed 6/7 term paper due
29Fri 6/9

Final Exam

Day Time
Tues 6/13 2pm - 4pm

links to previous years: 2015 and 2016

About the image: The image in the upper-left corner comes from the group of Kyle Shen at Cornell University. Shen's group uses state-of-the-art growth techniques, such as oxide molecular beam epitaxy, to create next generation quantum materials with atom-by-atom precision.