## Matthias Ernst: Catalogue data in Autumn Semester 2018 |

Name | Prof. Dr. Matthias Ernst |

Field | Physikalische Chemie |

Address | Lab. für Physikalische Chemie ETH Zürich, HCI D 227 Vladimir-Prelog-Weg 1-5/10 8093 Zürich SWITZERLAND |

Telephone | +41 44 632 43 66 |

Fax | +41 44 632 16 21 |

maer@ethz.ch | |

URL | http://www.nmr.ethz.ch/~maer |

Department | Chemistry and Applied Biosciences |

Relationship | Adjunct Professor and Privatdozent |

Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|

529-0431-AAL | Physical Chemistry III: Molecular Quantum Mechanics Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement. Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit. | 4 credits | 9R | B. H. Meier, M. Ernst | |

Abstract | Postulates of quantum mechanics, operator algebra, Schrödinger's equation, state functions and expectation values, matrix representation of operators, particle in a box, tunneling, harmonic oscillator, molecular vibrations, angular momentum and spin, generalised Pauli principle, perturbation theory, electronic structure of atoms and molecules, Born-Oppenheimer approximation. | ||||

Objective | This is an introductory course in quantum mechanics. The course starts with an overview of the fundamental concepts of quantum mechanics and introduces the mathematical formalism. The postulates and theorems of quantum mechanics are discussed in the context of experimental and numerical determination of physical quantities. The course develops the tools necessary for the understanding and calculation of elementary quantum phenomena in atoms and molecules. | ||||

Content | Postulates and theorems of quantum mechanics: operator algebra, Schrödinger's equation, state functions and expectation values. Linear motions: free particles, particle in a box, quantum mechanical tunneling, the harmonic oscillator and molecular vibrations. Angular momentum: electronic spin and orbital motion, molecular rotations. Electronic structure of atoms and molecules: the Pauli principle, angular momentum coupling, the Born-Oppenheimer approximation. Variational principle and perturbation theory. Discussion of bigger systems (solids, nano-structures). | ||||

Literature | P.W. Atkins, R.S. Friedman: Molecular Quantum Mechanics, 5th Edition, Oxford University Press 2010, ISBN 978-0-19-954142-3. J.S. Townsend: A Modern Approach to Quantum Mechanics, 2nd Edition, University Science Books 2012, ISBN 978-1-89-138-978-8. | ||||

529-0432-00L | Physical Chemistry IV: Magnetic Resonance | 4 credits | 3G | B. H. Meier, M. Ernst, G. Jeschke | |

Abstract | Theoretical foundations of magnetic resonance (NMR,EPR) and selected applications. | ||||

Objective | Introduction to magnetic resonance in isotropic and anisotropic phase. | ||||

Content | The course gives an introduction to magnetic resonance spectroscopy (NMR and EPR) in liquid, liquid crystalline and solid phase. It starts from a classical description in the framework of the Bloch equations. The implications of chemical exchange are studied and two-dimensional exchange spectroscopy is introduced. An introduction to Fourier spectroscopy in one and two dimensions is given and simple 'pulse trickery' is described. A quantum-mechanical description of magnetic resonance experiments is introduced and the spin Hamiltonian is derived. The chemical shift term as well as the scalar, dipolar and quadrupolar terms are discussed. The product-operator formalism is introduced and various experiments are described, e.g. polarization transfer. Applications in chemistry, biology, physics and medicine, e.g. determination of 3D molecular structure of dissolved molecules, determination of the structure of paramagnetic compounds and imaging (MRI) are presented. | ||||

Lecture notes | handed out in the lecture (in english) | ||||

Literature | see http://www.ssnmr.ethz.ch/education/PC_IV_Lecture | ||||

529-0443-00L | Advanced Magnetic Resonance Only for Chemistry MSc, Programme Regulations 2005. | 7 credits | 3G | B. H. Meier, M. Ernst, T. Wiegand | |

Abstract | The course is for advanced students and covers selected topics from magnetic resonance spectroscopy. This year, the lecture will introduce and discuss the theoretical foundation of high-resolution solid-state NMR under magic-angle spinning. | ||||

Objective | The aim of the course is to familiarize the students with the basic concepts of modern high-resolution solid-state NMR. Starting from the mathematical description of spin dynamics, important building blocks for multi-dimensional experiments are discussed to allow students a better understanding of modern solid-state NMR experiments. Particular emphasis is given to achiving high spectral resolution. | ||||

Content | The basic principles of NMR in solids will be introduced. After the discussion of basic tools to describe NMR experiments, basic methods and experiments will be discussed, e.g., magic-angle spinning, cross polarization, decoupling, and recoupling experiments. Such basic building blocks allow a tailoring of the effective Hamiltonian to the needs of the experiment. These basic building blocks can then be combined in different ways to obtain spectra that contain the desired information. | ||||

Lecture notes | A script which covers the topics will be distributed in the lecture and will be accessible through the web page http://www.ssnmr.ethz.ch/education/ | ||||

529-0443-01L | Advanced Magnetic Resonance | 6 credits | 3G | B. H. Meier, M. Ernst, T. Wiegand | |

Abstract | The course is for advanced students and covers selected topics from magnetic resonance spectroscopy. This year, the lecture will introduce and discuss the theoretical foundation of high-resolution solid-state NMR under magic-angle spinning. | ||||

Objective | The aim of the course is to familiarize the students with the basic concepts of modern high-resolution solid-state NMR. Starting from the mathematical description of spin dynamics, important building blocks for multi-dimensional experiments are discussed to allow students a better understanding of modern solid-state NMR experiments. Particular emphasis is given to achiving high spectral resolution. | ||||

Content | The basic principles of NMR in solids will be introduced. After the discussion of basic tools to describe NMR experiments, basic methods and experiments will be discussed, e.g., magic-angle spinning, cross polarization, decoupling, and recoupling experiments. Such basic building blocks allow a tailoring of the effective Hamiltonian to the needs of the experiment. These basic building blocks can then be combined in different ways to obtain spectra that contain the desired information. | ||||

Lecture notes | A script which covers the topics will be distributed in the lecture and will be accessible through the web page http://www.ssnmr.ethz.ch/education/ |