# 2005/06 Undergraduate Module Catalogue

## PHYS2070 Solid State Physics

### 10 creditsClass Size: 80

**Module manager:** Professor B J Hickey**Email:** b.j.hickey@leeds.ac.uk

**Taught:** Semester 2 (Jan to Jun) View Timetable

**Year running** 2005/06

### Pre-requisites

PHYS1150, PHYS1160, PHYS2160, PHYS2042 (or equivalent), PHYS2190 (or equivalent)**This module is not approved as an Elective**

### Objectives

By the end of the module students should be able to for example:- Use the density of states to explain some of the differences between metals, semiconductors and insulators;

- Derive the free-electron density of states;

- Perform straight-forward calculations based on the free-electron theory;

- Explain how a periodic potential modifies the free-electron dispersion relation;

- Solve problems on the transport properties of semiconductors;

- Calculate the magnetic properties (consistent with the syllabus) of paramagnets and ferromagnets.

**Skills outcomes**

The ability to model a physical problem.

The ability to solve physical problems using mathematics.The ability to model a physical problem.

The ability to solve physical problems using mathematics.

### Syllabus

Background reading: Revise chapters 26, 37 and 38 in Physics for Scientists and Engineers, PA Tipler.

Free-Electron Theory: Derivation of the Drude formula, Hall Effect, Thermal Conductivity, Wiedemann-Franz Law, Application of Quantum Mechanics (Sommerfeld model), free-electron density of states, heat capacity, Pauli paramagnetism, temperature dependence of the resistivity, Matthiesen's rule

Beyond Free-Electron Theory: phase and group velocities, effect of a periodic potential on the dispersion relation, origin of energy gaps, Brillouin Zones, effective mass, zone filling:metals semiconductors and insulators and their densities of states.

Semiconductors: Density of states, resistivity, temperature dependence of the number density of carriers, intrinsic and extrinsic behaviour, Bohr model for impurities, Hall effect.

Magnetic Properties: diamagnetism, paramagnetism and ferromagnetism, susceptibility, Magnetic moments: spin, free atoms and condensed phases, Hund's Rules, Curie Law and its derivation: Langevin (classical), Brillouin (quantum mechanical), Quenching of the orbital angular momentum, Magnetic interactions: Band ferromagnetism, Heisenberg exchange model, Curie-Weiss Law.

### Teaching methods

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

Lectures: 22 x 1 hour;Tutorials: 4 x 1 hour.

### Private study

Private Study: 74 hours.### Opportunities for Formative Feedback

Marked examples (1 per week).### Methods of assessment

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

1 x 2 hour written examination at the end of the semester: 85%;Weekly assignment marks: 15%.

### Reading list

The reading list is available from the Library websiteLast updated: 16/03/2007

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- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue

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