The Matrix Method of Linear Dichroism

Collums, Kenna (2014) The Matrix Method of Linear Dichroism. Undergraduate thesis, under the direction of Sandra Spiroff from Mathematics, The University of Mississippi.

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This thesis discusses linear dichroism, and in particular the matrix method behind the spectroscopic technique. Linear dichroism uses the difference in the absorption of light that is parallel to the orientation axis and the absorption of light that is perpendicular to the orientation axis. From this process, the structure and function of molecules can be studied. The matrix method diagonalizes a Hamiltonian matrix with a unitary matrix. This Hamiltonian matrix is constructed from the transition energies, which are the diagonal elements, and coupling energies, which are off-diagonal elements.

Item Type: Thesis (Undergraduate)
Creators: Collums, Kenna
Student's Degree Program(s): B.S. in Mathematics
Thesis Advisor: Sandra Spiroff
Thesis Advisor's Department: Mathematics
Institution: The University of Mississippi
Subjects: Q Science > QA Mathematics
Depositing User: Kenna Collums
Date Deposited: 13 May 2014 14:32
Last Modified: 13 May 2014 14:32

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