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Title: Theory of pulsed NMR studies on solid D{sub 2}

Abstract

Density matrix theory is used to calculate the response signal of both {ital o}-D{sub 2} (with rotational angular momentum {ital J}=0 and nuclear spin {ital I}=2) and {ital p}-D{sub 2} (with {ital J}={ital I} and {ital I}=1) in NMR experiments consisting of two-pulse sequences. The closed form method previously applied to the NMR {open_quote}{open_quote}solid echo{close_quote}{close_quote} of {ital o}-H{sub 2} (with {ital J}={ital I} and {ital I}=1) has been extended to the deuterium system arriving at a detailed account of the dipolar interactions between like and unlike spins in a hcp lattice of concentration {ital X}({ital J}=1). The predicted solid echo amplitude for both the {ital I}=1 and {ital I}=2 contributions is expressed as a function of the mole fraction {ital X}, the pulse parameters (the angle {beta} and relative phase {var_phi}), the time {tau} between the two pulses, the average spin-pair dipolar field {bar {delta}}{sub {ital jk}} and the average inhomogeneous field {bar {alpha}}{sub {ital j}}. Agreement is good between the theoretical predictions and the experiments in which the solid echo amplitude is recorded as a function of the experimentally controllable parameters {beta}, {var_phi}, and {tau}. For the {ital I}=2 fraction, the positions of the expected satellite echoes are determined,more » while failure to observe them in solid D{sub 2} is discussed in terms of the relative magnitudes of the intramolecular coupling terms and {bar {alpha}}{sub {ital j}}. {copyright} {ital 1996 The American Physical Society.}« less

Authors:
;  [1];  [2]
  1. Department of Chemistry, McGill University, Montreal, Quebec, H3A2K6 (CANADA)
  2. Department of Physics, Duke University, Durham, North Carolina 27708-0305 (United States)
Publication Date:
OSTI Identifier:
383251
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 54; Journal Issue: 9; Other Information: PBD: Sep 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; DEUTERIUM; NUCLEAR MAGNETIC RESONANCE; MOLECULAR CRYSTALS; SPIN ECHO; SPIN ORIENTATION; INTERMOLECULAR FORCES; TEMPERATURE DEPENDENCE; TEMPERATURE RANGE 0000-0013 K; DIPOLE INTERACTIONS

Citation Formats

Dinesen, T R, Sanctuary, B C, and Meyer, H. Theory of pulsed NMR studies on solid D{sub 2}. United States: N. p., 1996. Web. doi:10.1103/PhysRevB.54.6481.
Dinesen, T R, Sanctuary, B C, & Meyer, H. Theory of pulsed NMR studies on solid D{sub 2}. United States. doi:10.1103/PhysRevB.54.6481.
Dinesen, T R, Sanctuary, B C, and Meyer, H. Sun . "Theory of pulsed NMR studies on solid D{sub 2}". United States. doi:10.1103/PhysRevB.54.6481.
@article{osti_383251,
title = {Theory of pulsed NMR studies on solid D{sub 2}},
author = {Dinesen, T R and Sanctuary, B C and Meyer, H},
abstractNote = {Density matrix theory is used to calculate the response signal of both {ital o}-D{sub 2} (with rotational angular momentum {ital J}=0 and nuclear spin {ital I}=2) and {ital p}-D{sub 2} (with {ital J}={ital I} and {ital I}=1) in NMR experiments consisting of two-pulse sequences. The closed form method previously applied to the NMR {open_quote}{open_quote}solid echo{close_quote}{close_quote} of {ital o}-H{sub 2} (with {ital J}={ital I} and {ital I}=1) has been extended to the deuterium system arriving at a detailed account of the dipolar interactions between like and unlike spins in a hcp lattice of concentration {ital X}({ital J}=1). The predicted solid echo amplitude for both the {ital I}=1 and {ital I}=2 contributions is expressed as a function of the mole fraction {ital X}, the pulse parameters (the angle {beta} and relative phase {var_phi}), the time {tau} between the two pulses, the average spin-pair dipolar field {bar {delta}}{sub {ital jk}} and the average inhomogeneous field {bar {alpha}}{sub {ital j}}. Agreement is good between the theoretical predictions and the experiments in which the solid echo amplitude is recorded as a function of the experimentally controllable parameters {beta}, {var_phi}, and {tau}. For the {ital I}=2 fraction, the positions of the expected satellite echoes are determined, while failure to observe them in solid D{sub 2} is discussed in terms of the relative magnitudes of the intramolecular coupling terms and {bar {alpha}}{sub {ital j}}. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevB.54.6481},
journal = {Physical Review, B: Condensed Matter},
number = 9,
volume = 54,
place = {United States},
year = {1996},
month = {9}
}