### Table of Contents

# 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

Day | Topic | What was covered | Assignments | |
---|---|---|---|---|

1 | Mon 4/3 | Atomic 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 |

2 | Wed 4/5 | Atomic orbitals | Quiz 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 |

3 | Fri 4/7 | Atomic 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

Day | Topic | What was covered | Assignments | |
---|---|---|---|---|

4 | Mon 4/10 | Atomic orbitals | Orthogonal wavefunctions. Bra-ket notation. Matrix representation of an operator. quiz_2.pdf, day_4_2017.pdf | hw1 question 5 hint |

5 | Wed 4/12 | Molecular orbitals | Vector notation to represent wavefunctions. Two protons and an electron. Finding the ground state wavefuction. day_5_2017.pdf, quiz_4.pdf | hw1 soln |

6 | Fri 4/14 | Molecular 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

Day | Topic | What was covered | Assignments | |
---|---|---|---|---|

7 | Mon 4/17 | Molecular orbitals | Practice 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 | |

8 | Wed 4/19 | The 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) |

9 | Fri 4/21 | The 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

Day | Topic | What was covered | Assignments | |
---|---|---|---|---|

10 | Mon 4/24 | The chain of atoms | Quiz 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 | |

11 | Wed 4/26 | 2d crystals | Integrating 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 | |

12 | Fri 4/28 | hw4_2017b.pdf |

## Week 5

Day | Topic | What was covered | Assignments | |
---|---|---|---|---|

13 | Mon 5/1 | |||

14 | Wed 5/3 | |||

15 | Fri 5/5 | midterm? |

## Week 6

Day | Topic | What was covered | Assignments | |
---|---|---|---|---|

16 | Mon 5/8 | |||

17 | Wed 5/10 | |||

18 | Fri 5/12 |

## Week 7

Day | Topic | What was covered | Assignments | |
---|---|---|---|---|

19 | Mon 5/15 | |||

20 | Wed 5/17 | |||

21 | Fri 5/19 |

## Week 8

Day | Topic | What was covered | Assignments | |
---|---|---|---|---|

22 | Mon 5/22 | |||

23 | Wed 5/24 | |||

24 | Fri 5/26 |

## Week 9

Day | Topic | What was covered | Assignments | |
---|---|---|---|---|

Mon 5/29 | MEMORIAL DAY | no class | ||

25 | Wed 5/31 | poster session? | ||

26 | Fri 6/2 |

## Week 10

Day | Topic | What was covered | Assignments | |
---|---|---|---|---|

27 | Mon 6/5 | |||

28 | Wed 6/7 | term paper due | ||

29 | Fri 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.