MATHEMATICS COLLOQUIUM
Speaker: Zhehong Gan.
Title: Quantum Mechanics and Mathematics in NMR Spectroscopy.
Affiliation: NHMFL - Florida State University.
Date: Friday, November 16, 2001.
Place and Time: Room 101 - Love Building, 3:35-4:35 pm.
Refreshments: Room 204 - Love Building, 3:00 pm.
Abstract.
Quantum mechanics and mathematical tools have played a pivotal role
in the development of modern NMR spectroscopy. After an overview of NMR
spectroscopy, recent advances in high-resolution solid-state NMR
spectroscopy of quadrupolar nuclei will be presented as an example
demonstrating the roles of quantum mechanics and mathematics. The technical
development deals with the effect of nuclear quadrupolar spin interactions
to solid state NMR spectra. Using perturbation theory, various orders of
quadrupolar effect are expanded in irreducible representations that have
well-characterized rotational properties. By single or double axial sample
rotation and two-dimensional spectroscopy, quadrupolar effects up to the
third-order can be experimentally averaged achieving high-resolution
solid-state NMR spectra for applications in chemistry and material sciences.
|