17-Phys-A6 Solid State Physics
Worked solutions to 4 past sittings (2013–2015), 28 questions. Pick a sitting, or start from a topic below.
Topics across the sittings
Topics that come up in more than one sitting, taken from the headings of our worked solutions. A topic counts once per sitting.
- Fermi Energy (4 sittings): May 2015 Q4 · May 2014 Q4 · May 2013 Q4 · Undated paper Q4
- Miller Indices (4 sittings): May 2015 Q1 · May 2014 Q1 · May 2013 Q1 · Undated paper Q1
- Point Defects (4 sittings): May 2015 Q7 · May 2014 Q7 · May 2013 Q7 · Undated paper Q7
- Diamagnetism (3 sittings): May 2014 Q6 · May 2013 Q6 · Undated paper Q6
- Diffusion (3 sittings): May 2015 Q7 · May 2014 Q7 · May 2013 Q7
- Packing Fraction (3 sittings): May 2014 Q1 · May 2013 Q1 · Undated paper Q1
- Reciprocal Lattice (3 sittings): May 2014 Q1 · May 2013 Q1 · Undated paper Q1
- Vacancy Concentration (3 sittings): May 2015 Q7 · May 2014 Q7 · May 2013 Q7
- 1-D Madelung Constant (2 sittings): May 2015 Q2 · Undated paper Q2
- Band Gap (2 sittings): May 2014 Q5 · Undated paper Q4
- Bravais Lattices (2 sittings): May 2015 Q1 · May 2014 Q1
- Carrier Concentrations (2 sittings): May 2014 Q5 · Undated paper Q5
- Curie Constant (2 sittings): May 2015 Q6 · Undated paper Q6
- Equilibrium Separation (2 sittings): May 2015 Q2 · Undated paper Q2
- FCC Lattice (2 sittings): May 2013 Q1 · Undated paper Q1
Questions by sitting
May 2015
- Question 1: Bravais Lattices, BCC Packing, Primitive Vectors, and Miller Indices
- Question 2: Ionic Cohesion — Repulsive/Coulomb Energy, Equilibrium Separation, and the 1-D Madelung Constant
- Question 3: Lattice Vibrations — Monatomic-Basis Dispersion Relation and Group Velocity
- Question 4: Free-Electron Metals — Particle-in-a-Box Energies and the Fermi Energy
- Question 5: Extrinsic Semiconductor — Intrinsic Fermi Level, Carrier Type, Mass-Action Law, and Occupation Probability
- Question 6: Magnetism — Diamagnetism/Paramagnetism, Nuclear vs. Electronic Moments, Susceptibility, and the Curie Constant
- Question 7: Point Defects and Diffusion — Vacancy Concentration and the Zn-in-Cu Arrhenius Plot
May 2014
- Question 1: Bravais Lattices — Naming, Packing Fraction, Reciprocal Lattice, Miller Indices
- Question 2: Lennard-Jones Potential Minimum and Interatomic Force in Krypton
- Question 3: Diatomic-Chain Phonon Dispersion — Optical and Acoustical Branches
- Question 4: Fermi Energy, Fermi Temperature and Occupation Probability of Helium-3
- Question 5: Intrinsic Silicon — Band Gap, Effective Mass, Fermi Level, Carrier Concentration, Doping
- Question 6: Paramagnetism, Diamagnetism, and the Molar Susceptibility of an Inert Gas
- Question 7: Point Defects and Diffusion — Vacancy Concentration and Dopant Diffusion Rate
May 2013
- Question 1: FCC Lattice — Packing Fraction, Miller Indices, Reciprocal Lattice
- Question 2: Lennard-Jones Potential and Cohesive Energy of Solid H₂
- Question 3: Phonon Dispersion Relation for a Monatomic Chain
- Question 4: Fermi Energy, Fermi Temperature and Occupation Probability of Liquid He-3
- Question 5: Band Filling, Metals/Insulators/Semiconductors, and Intrinsic Silicon Carrier Density
- Question 6: Diamagnetism vs. Paramagnetism, and the Langevin Susceptibility
- Question 7: Point Defects — Donor Impurities, Vacancy Concentration, and Diffusion
Undated paper
- Question 1: FCC Lattice — Primitive Vectors, Packing Fraction, Reciprocal Lattice, Miller Indices
- Question 2: Ionic Cohesion — Equilibrium Separation and the 1-D Madelung Constant
- Question 3: Diatomic Linear Chain — Optical and Acoustical Phonon Branches
- Question 4: Free-Electron Fermi Gas — Fermi Energy, Speed, Occupation Probability, Band Gap
- Question 5: Silicon Band Structure — Intrinsic Fermi Level, Carrier Concentrations, p–n Junction
- Question 6: Magnetism in Crystal Lattices — Diamagnetism, Molar Susceptibility, Curie Constant
- Question 7: Point Defects — Color Centers, Schottky Defects, Dopant Diffusion