# Graduate Module - First Principles Materials Modelling

This is the main source of resources to support the FPMM module. The purpose of this module is to demonstrate the potential of first principles materials modelling and show the range of material properties that can be calculated using modern theoretical/computational techniques.

These ideas will be illustrated using the CASTEP code with a combination of lectures on the key theoretical concepts and practical classes where delegates will put these ideas into action with a range of real world calculations on materials.

## Aims

By the end of the module you should be able to:

- Explain all the key concepts involved in a materials properties calculation;
- Apply CASTEP to calculate the ground state energy, electronic structure and geometrical structure of a material;
- Apply CASTEP to calculate the thermodynamic properties of a material using both quasi-static phonon and full molecular dynamics approaches;
- Apply CASTEP to calculate a range of spectroscopic properties including electronic and phonon based techniques;
- Compare different CASTEP calculations to infer properties such as surface energies and binding energies;
- Construct a sequence of separate CASTEP calculations to systematically converge a given calculation;
- Judge the quality of a CASTEP calculation in terms of convergence parameters, choice of functions and pseudopotentials.

## Links

- Lecture notes
- Instructions and support materials for the practical classes
- Assignment info
- CASTEP website

## Course outline

__WEEK 1__

**Day 1 – Monday 10:00-12:00**

- Overview of first principles computational modelling
- Introduction to electronic structure, plane waves and pseudopotentials

**Day 2 – Tuesday 10:00****-17:00**

- Reciprocal space description of electrons and phonon states
- Finding the electronic ground state
- Practical – electronic ground state calculation

**Day 3 – Wednesday 10.00-17:00**

- Structural calculations and phase stability
- Geometry optimisation
- Practical – Band Structures & DOS calculations

**Day 4 – Thursday 10:00–17:00**

- Exchange & Correlation – cause and effects
- Convergence testing
- Practical – Geometry optimization calculation

**Day 5 – Friday 10:00–17:00**

- Post-DFT methods (exact exchange, hybrids, DFT+U)
- TD-DFT
- Practical – TD-DFT applications

__WEEK 2__

**Day 6 – Monday 10:00-17:00**

- Pseudopotentials
- Solid state NMR
- Practical – NMR

**Day 7 – Tuesday 10:00-17:00**

- Phonons
- Vibrational spectroscopy (IR, Raman etc)
- Practical – phonons

**Day 8 – Wednesday 10:00-17:00**

- no lecture at 10:00
- Electron energy loss spectroscopy and XANES
- Practical – EELS

**Day 9 – Thursday 10:00-17:00**

- Classical Molecular Dynamics
- Beyond Born-Oppenheimer - Quantum Molecular Dynamics
- Practical – Molecular Dynamics calculation

**Day 10 – Friday 10:00-12:00**

- Beyond DFT - Many Body methods
- Parallel CASTEP
- Practical – finish off session