Module overview
This module provides advanced Magnetic Resonance spectroscopy and imaging background to students who would like to work professionally in quantum technologies based on spin.
Aims and Objectives
Learning Outcomes
Learning Outcomes
Having successfully completed this module you will be able to:
- Be able to read and critically evaluate recent literature on advanced NMR methods
- Understand the basic principles and techniques of modern nuclear magnetic resonance (NMR) spectroscopy;
- Use the mathematical tools needed to understand common pulse sequences
- Recognise how these principles are applied in liquid state NMR, solid state NMR and NMR imaging (MRI)
- Decide the prospects of using advanced NMR techniques to solve analytical problems
Syllabus
Lecture list:
1. Spin as a fundamental physical property
2. Nuclear magnetic moment and magnetogyric ratio
3. Magnetic resonance hardware: magnets, probes, consoles
4. Bloch equations 1: pulses, free evolution, and the rotating frame
5. Fourier transform and its applications in Magnetic Resonance
6. Signal sampling and digital signal processing
7. Bloch equations 2: spin echoes, T1/T2 model of spin relaxation
8. Magnetic Resonance Imaging 1: gradients and k-space
9. Magnetic Resonance Imaging 2: types of contrast, slice selection
10. Revision of the quantum theory of angular momentum
11. Semi-empirical theory of spin: operators, states, commutation rules
12. Liquid state NMR interactions and their Hamiltonians
13. Solving the time-dependent Schrödinger equation
14. Density operator formalism and thermal equilibrium
15. Product operator formalism and coherence transfer
16. NMR pulse sequence design and analysis, phase cycles
17. NMR pulse sequences 1: HETCOR, COSY, HNCO
18. Introduction to spin relaxation theory
19. Mechanisms of spin relaxation in liquids
20. Cross-relaxation and Nuclear Overhauser Effect
21. NMR pulse sequences 2: NOESY, HSQC, TROSY
22. Chemical kinetics and Bloch-McConnell equations
23. Solid state NMR Hamiltonians: dipolar and quadrupolar couplings
24. Powder averages and magic angle spinning
Learning and Teaching
Teaching and learning methods
chalk + handout lectures, problem classes
| Type | Hours |
|---|---|
| Follow-up work | 48 |
| Preparation for scheduled sessions | 48 |
| Workshops | 24 |
| Lecture | 24 |
| Revision | 6 |
| Total study time | 150 |
Resources & Reading list
Textbooks
M. H. Levitt. Spin Dynamics. Wiley.
Ernst, Bodenhausen, Wokaun. Principles of nuclear magnetic resonance in one and two dimensions. Oxford.
J. Keeler. Understanding NMR Spectroscopy. Wiley.
Assessment
Assessment strategy
examination
Summative
This is how we’ll formally assess what you have learned in this module.
| Method | Percentage contribution |
|---|---|
| Final Assessment | 100% |
Referral
This is how we’ll assess you if you don’t meet the criteria to pass this module.
| Method | Percentage contribution |
|---|---|
| Final Assessment | 100% |
Repeat Information
Repeat type: Internal & External