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Type of Document Dissertation Author Srinivasan, Parthasarathy Author's Email Address psriniva@math.fsu.edu URN etd-06292005-153702 Title Applications of Representation Theory and Higher-Order Perturbation Theory in NMR Degree Doctor of Philosophy Department Mathematics, Department of Advisory Committee
Advisor Name Title John R. Quine Committee Chair Zhehong Gan Committee Co-Chair DeWitt Sumners Committee Member Michael S. Chapman Committee Member Philip Bowers Committee Member Keywords
- NMR
- Quadrupolar Nuclei
- Representation Theory
- Perturbation Theory
Date of Defense 2005-06-15 Availability unrestricted Abstract Solid State Nuclear Magnetic Resonance (NMR) is perhaps the only spectroscopic technique that allows experimentalists to manipulate the spin systems they are interested in. Of particular interest are nuclei with spins greater than 1/2, or quadrupolar nuclei, as they constitute over 70% of the magnetically active spins. Two of the important mathematical tools used in the theoryof studying NMR are representation theory together with perturbation theory. We will use both these tools to describe the underlying mathematical theory for quadrupolar nuclei. The theory shows that for non-symmetric satellite transitions in half-integer quadrupolar nuclei, perturbation effects up to third-order feature
in the NMR spectra. We will also use irreducible representations to analyze experiments conducted on various spin systems and discuss ways to design new ones. Another topic that will also be
explored is the theory of rotary resonance in half-integer quadrupolar nuclei. This theory explains why techniques like FASTER (FAster Spinning gives Transfer Enhancement at Rotary
resonance) improve the efficiency of symmetric multiple quantum experiments.
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