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Hyperfine Interactions and Nuclear Magnetism - NFPL169

Title:	Hyperjemné interakce a jaderný magnetismus
Guaranteed by:	Department of Low Temperature Physics (32-KFNT)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2017
Semester:	summer
E-Credits:	3
Hours per week, examination:	summer s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	RNDr. Jan Kuriplach, CSc. prof. Mgr. Jakub Čížek, Ph.D.

Opinion survey results Examination dates SS schedule Noticeboard

Annotation -

Last update: T_KFNT (23.05.2003)

Nuclear magnetic and quadrupole moments, origin of electric and magnetic fields at nuclei of atoms of condensed matter (CM), hyperfine splitting and its use in CM studies (nuclear magnetic resonance, Moessbauer effect). Spontaneous order of nuclear moments, van Vleck systems, nuclear adiabatic demagnetization, 'negative' temperatures.

Aim of the course -

Last update: KFNTJKU/MFF.CUNI.CZ (16.04.2008)

After passing the lecture students will gain detailed knowledge about physical principles of hyperfine interactions in solids as well as basic knowledge how to derive parameters (strength) of such interactions from the electronic structure of solids. Furthermore, students will be introduced to the subject of Van Vleck systems, where the crystal field plays an important role, and hyperfine-enhanced nuclear magnetism in such systems. The ordering of nuclear moments will be demonstrated for the case of the PrNi5 compound.

Course completion requirements -

Last update: prof. Mgr. Jakub Čížek, Ph.D. (10.06.2019)

oral exam

Literature -

Last update: KFNTJKU/MFF.CUNI.CZ (16.04.2008)

E.N. Kaufmann, R.J. Vianden: The electric field gradient in noncubic metals, Reviews of Modern Physics 51 (1979) 161

T.P. Das: Calculation of magnetic and electric hyperfine fields in metals, Physica Scripta 11 (1975) 121

J. Kuriplach, J. Šebek, R.M. Mueler: Calculation of magnetic properties and specific heat for the nuclear enhanced ferromagnet PrNi5, Journal of Low Temperature Physics 120 (2000) 401

Teaching methods -

Last update: KFNTJKU/MFF.CUNI.CZ (16.04.2008)

lecture

Requirements to the exam -

Last update: prof. Mgr. Jakub Čížek, Ph.D. (10.06.2019)

Oral exam will include questions covering topics presented in lectures during semester.

Syllabus -

Last update: T_KFNT (23.05.2003)

Basic properties of nuclei, origin of the nuclear magnetic and quadrupole moments, multipole expansion.

Electric field at nuclei in condensed matter, its origin and interaction with nucleus, interaction Hamiltonian, the role of the symmetry of nuclear environment.

Magnetic field at nuclei in condensed matter, its origin and interaction with nucleus, interaction Hamiltonian, interaction of nucleus with the orbital and spin electron moments.

Calculation of nuclear energy levels for simple interaction Hamiltonians.

Hyperfine splitting of nuclear levels and its use in condensed matter studies, nuclear magnetic resonance, Mössbauer spectroscopy and other experimental methods.

Examples of usage of 'hyperfine methods.' Possibilities of calculation of hyperfine parameters from first principles.

Interactions among nuclear moments, their spontaneous ordering and its experimental detection.

Crystal field (CF), singlet CF ground state, van Vleck systems, hyperfine enhanced nuclear magnetism.

Nuclear adiabatic demagnetization, 'negative' temperatures. Examples of systems with nuclear ordering.