## Undergraduate Magnetic Resonance

NMR and MRI lecture course read to third year undergraduate chemists by Ilya Kuprov and Marcel Utz at the University of Southampton.

(handout, video) – Lecture 01 – Introduction

(handout, video) – Lecture 02 – Instrumentation

(handout, video) – Lecture 03 – Bloch equations

(handout, video) – Lecture 04 – Signals and spectra

(handout, video) – Lecture 05 – Basics of MRI

(handout, video) – Lecture 06 – Spin echoes and relaxation

(handout, video) – Lecture 07 – Angular momentum

(handout, video) – Lecture 08 – Spin Hamiltonians

(handout, video) – Lecture 09 – Liquid state NMR Hamiltonians

(handout, video) – Lecture 10 – Deeper into MRI

(handout, video) – Lecture 11 – Time domain quantum mechanics, part 1

(handout, video) – Lecture 12 – Time domain quantum mechanics, part 2

(handout, video) – Lecture 13 – Spin relaxation theory

(handout, video) – Lecture 14 – Common relaxation mechanisms

(handout, video) – Lecture 15 – Product operator formalism

(handout, video) – Lecture 16 – Magnetisation transfer

(handout, video) – Lecture 17 – NMR in two and more dimensions

(handout, video) – Lecture 18 – Basic simulation methods

(handout, video) – Lecture 19 – Cross-relaxation and NOE

(handout, video) – Lecture 20 – Quantum technologies

(handout, video) – Lecture 21 – Biomolecular NMR

## Spin Dynamics

A graduate level lecture course for physicists and chemists working professionally in the area of magnetic resonance spectroscopy or using advanced NMR and EPR techniques as a part of their research. Students who wish to make distance examination arrangements (*e.g.* for the course to count towards their degree at their home institution) should contact Ilya Kuprov with the request.

**Module I – Elementary topics (Ilya Kuprov, Giuseppe Pileio)**

Lecture 01 (handout, video) – Fourier spectroscopy

Lecture 02 (handout, video) – Magnetic resonance instruments

Lecture 03 (handout, video a, video b) – Digital signal processing

Lecture 04 (handout, video) – Quantum theory of angular momentum

Lecture 05 (handout, video) – Quantum mechanical theory of spin

Lecture 06 (handout, video) – Spin interaction Hamiltonians, part I

Lecture 07 (handout, video) – Spin interaction Hamiltonians, part II

Lecture 08 (handout, video) – Formal theory of rotations

Lecture 09 (handout, video) – Wavefunction formalism

Lecture 10 (handout, video) – Density operator formalism

Lecture 11 (handout, video) – Product operator formalism

Lecture 12 (handout, video) – Rotating frame approximation

**Module III – Relaxation theories (Ilya Kuprov, Giuseppe Pileio)**

**Module V – Miscellaneous topics (Ilya Kuprov)**

**Module II – Algebra and programming (Ilya Kuprov)**

Lecture 01 (handout, video) – Vector and matrix spaces

Lecture 02 (handout, video) – Groups and algebras

Lecture 03 (handout, video) – Formal theory of rotations

Lecture 04 (handout, video) – Overview of SU(n) groups

Lecture 05 (handout, video) – Simulation design and coding, part I

Lecture 06 (handout, video) – Simulation design and coding, part II

Lecture 07 (handout, video) – Simulation design and coding, part III

Lecture 08 (handout, video) – Simulation design and coding, part IV

Lecture 09 (handout, video) – Introduction into large-scale simulations

Lecture 10 (handout, video) – What is Spinach and what does it do

Lecture 11 (handout, video) – Pulse sequence modelling

**Module IV – Solid state NMR (Malcolm Levitt, Marina Carravetta, Phil Williamson, Ilya Kuprov)**

Lecture 01 (handout, video) – Spin interactions

Lecture 02 (handout, video) – Spherical tensors

Lecture 03 (handout, video) – Spherical tensors

Lecture 04 (handout, video) – Rotating frame approximation

Lecture 05 (handout, video) – Average Hamiltonian theory

Lecture 06 (handout, video) – Polarisation transfer and recoupling

Lecture 07 (handout, video) – Nuclear quadrupolar interaction

Lecture 08 (handout, video) – NMR of quadrupolar solids

Lecture 09 (handout, video) – Simulation of solid state DNP experiments

Lecture 10 (handout, video) – Anisotropic interactions in solid state NMR

Lecture 11 (handout, video) – Cross-polarisation and dipolar recoupling

Lecture 12 (handout, video) – Protein structure determination in solids

## Quantum Chemistry

IK’s graduate level course for chemists, physicists, and biologists who wish to acquire practical skills of performing *ab initio*, DFT, and molecular dynamics simulations of realistic systems using modern software and supercomputers. The lectures provide basic theoretical background and focus on practical recipes for the calculation of commonly encountered physical and chemical properties.

## Mathematical Methods in Chemistry

The mathematics course that IK is teaching at the University of Southampton. The course is designed to give first year chemists all the background necessary for the subsequent courses in kinetics, thermodynamics, and molecular quantum mechanics. Basic statistics is covered, and an introduction is given into numerical methods and machine algebra systems.