The Dipolar Broadening of Magnetic Resonance Lines in Crystals

Vleck, J. H. Van

doi:10.1103/physrev.74.1168

Cited by 2,852 publications

(870 citation statements)

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“…In intermediate situations both contributions have to be taken into account, the central part of the T-mode peak being closer to a Gaussian while the wings are better approximated with a Lorentzian shape. This is analogous to the motional narrowing effect, 14,34 first discussed in the context of magnetic resonance absorption. It is important to note that this simple model gives a width proportional to , and therefore a linear temperature-dependent broadening.…”

Section: ͑412͒mentioning

confidence: 64%

Hamiltonian theory for vibrational line shapes of atoms adsorbed on surfaces

Guantes

Vega

Miret‐Artés

et al. 2004

The Journal of Chemical Physics

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The vibrational motions of atomic adsorbates on surfaces can be probed by helium atom scattering. The experimental observable is the dynamic structure factor, which shows an inelastic peak around the vibrational frequency of the isolated adsorbates known as the frustrated translational or T-mode peak. In this paper we develop a theory for the line shape of this peak, as well as for its temperature-dependent shift and broadening, based on a Hamiltonian equivalent of the generalized Langevin equation. The theory can be used to infer physical parameters of the adatom-surface interaction, such as the friction coefficient, the barrier height to diffusion, and the anharmonicity parameter. Numerical simulations are used to ascertain the range of validity of the theory, which is also generalized to describe multidimensional systems and to include quantum corrections. We compare the theoretical predictions for the shift and broadening with experimental results for the Na/Cu͑001͒ system, showing quantitative agreement within experimental resolution.

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Section: ͑412͒mentioning

confidence: 64%

Hamiltonian theory for vibrational line shapes of atoms adsorbed on surfaces

Guantes

Vega

Miret‐Artés

et al. 2004

The Journal of Chemical Physics

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“…For M 2 we use the well-known van Vleck expression for dipolar interactions between unlike spins, which is given by [43,44], (7) comprises all Ru sites.…”

Section: Results and Analysismentioning

confidence: 99%

Oxygen nuclear magnetic resonance study of RuSr2EuCu2O8

Krämer¹,

Williams²

2002

Physica C: Superconductivity

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We report the results from a 17 O Nuclear Magnetic Resonance (NMR) study of the high temperature superconducting cuprate (HTSC), RuSr 2 EuCu 2 O 8 . This compound has recently been found to exhibit the coexistence of magnetic order and superconductivity. At 9 T, the magnetic order in the RuO 2 layers is predominately ferromagnetic. We measured the 17 O NMR spectra from 10 K to 330 K and find the occurrence of an increasing 17 O NMR shift with increasing temperature for temperatures above ~200 K, providing direct evidence that RuSr 2 RCu 2 O 8 is similar to a very underdoped HTSC. The analysis of the NMR shift and spectral width of the 17 O NMR line gives a small but measurable hyperfine field of ~9 mT from the Ru moment at the oxygen site in the copper oxygen planes. We show that the 17 O NMR linewidth is governed by dipolar contributions from the Ru moment. PACS:74.72.-h 74.25.Nf 74.20.Mn

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“…Moment analysis method was first proposed by van Vleck [107] in order to characterize powder lineshapes in NMR spectra arising from homogeneous spin interactions, for example, the dipolar couplings between like-spin nuclei. Later Maricq and Waugh [95] had applied this method to analyze the sidebands in MAS spectra.…”

Section: Moment Analysis Of Dor Sidebandsmentioning

confidence: 99%

Scalar operators in solid-state NMR

Sun

1991

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The Dipolar Broadening of Magnetic Resonance Lines in Crystals

Cited by 2,852 publications

References 9 publications

Hamiltonian theory for vibrational line shapes of atoms adsorbed on surfaces

Hamiltonian theory for vibrational line shapes of atoms adsorbed on surfaces

Oxygen nuclear magnetic resonance study of RuSr2EuCu2O8

Scalar operators in solid-state NMR

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