Advanced NMR Spectroscopy and MRI

Learning Outcomes

Learning Outcomes

Having successfully completed this module you will be able to:

• 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)
• 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;
• Decide the prospects of using advanced NMR techniques to solve analytical problems

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

chalk + handout lectures, problem classes

Summative

This is how we’ll formally assess what you have learned in this module.

Referral

This is how we’ll assess you if you don’t meet the criteria to pass this module.