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Applications of Representation Theory and Higher-Order Perturbation Theory in NMR

Title: Applications of Representation Theory and Higher-Order Perturbation Theory in NMR.
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Name(s): Srinivasan, Parthasarathy, author
Quine, John R., professor directing dissertation
Gan, Zhehong, professor co-directing dissertation
Chapman, Michael S., outside committee member
Bowers, Philip, committee member
Sumners, DeWitt, committee member
Department of Mathematics, degree granting department
Florida State University, degree granting institution
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2005
Publisher: Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: 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 theory of 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.
Identifier: FSU_migr_etd-1600 (IID)
Submitted Note: A Dissertation Submitted to the Department of Mathematics in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy.
Degree Awarded: Summer Semester, 2005.
Date of Defense: June 15, 2005.
Keywords: NMR, Quadrupolar Nuclei, Representation Theory, Perturbation Theory
Bibliography Note: Includes bibliographical references.
Advisory committee: John R. Quine, Professor Directing Dissertation; Zhehong Gan, Professor Co-Directing Dissertation; Michael S. Chapman, Outside Committee Member; Philip Bowers, Committee Member; DeWitt Sumners, Committee Member.
Subject(s): Mathematics
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_migr_etd-1600
Host Institution: FSU

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Srinivasan, P. (2005). Applications of Representation Theory and Higher-Order Perturbation Theory in NMR. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_etd-1600