Undergraduate Honors Theses

Thesis Defended

Spring 2017

Document Type

Thesis

Type of Thesis

Departmental Honors

Department

Physics

First Advisor

John C. Price

Second Advisor

Paul Beale

Third Advisor

Mark Ablowitz

Abstract

Measurements of the NMR line shape of 4.6832% abundant 29Si in single-crystal silicon for four different crystallographic orientations relative to the applied magnetic field are reported. Significant inhomogeneous line broadening is avoided by immersing the sample crystals in a susceptibility matched liquid, and the proton NMR line shape in the liquid is used to measure the residual susceptibility mismatch and to shim the applied field. The observed line shapes are shown to be in good agreement with disorder-averaged spin dynamics simulations performed on a 4 x 4 x 4 unit cell lattice with periodic boundary conditions. The splitting of resolved doublet features is used to measure the asymmetry Delta J of the nearest-neighbor indirect dipole or J-coupling tensor, with the result Delta J=90 plus or minus 20 Hz. All resolved doublets can be identified with specific nearest and next-nearest neighbor isolated spin pairs that occur in the disorder ensemble.

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