Calculation of NMR Line Shapes Using the Memory-Function Approach

Parker, G. W.; Lado, F.

doi:10.1103/physrevb.8.3081

Cited by 41 publications

(26 citation statements)

References 35 publications

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“…The 2nth moment M 2n and the ratio of the higher-order moment to the second moment M 2n / M 2 n are commonly used as standard parameters for the characterization. 19 A sharp doublet peak ͑two ␦ functions at = Ϯ M 2 1/2 ͒ corresponds to M 2n / M 2 n =1 ͑pair limit͒, while the double peak merges into a single peak when M 4 / M 2 2 Ն 2.85. Gaussian line shape has M 4 / M 2 2 = 3.…”

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confidence: 97%

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Nuclear magnetic resonance linewidth and spin diffusion inS29iisotopically controlled silicon

2008

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A nuclear magnetic resonance ͑NMR͒ study was performed with n-type silicon single crystals containing 29 Si isotope abundance f ranges from 1.2% to 99.2%. The nuclear spin diffusion coefficient D has been determined from the linewidth of significantly enhanced 29 Si NMR signals utilizing a developed dynamic nuclear polarization ͑DNP͒ method. The 29 Si NMR linewidth depends linearly on f, at least when f Ͻ 10%, and approaches ϰf 1/2 dependence when f Ͼ 50%. The estimated 29 Si nuclear spin diffusion time T sd between phosphorus atoms used for DNP is more than ten times shorter than the nuclear polarization time T 1 p of 29 Si nuclei around phosphorus. Therefore, the regime of "rapid spin diffusion" is realized in the DNP experiments.

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confidence: 97%

“…͑4͒ will be given. Experimental results will be discussed with theoretical calculations of the resonance line shape, 19,20 linewidth, 20 and diffusion coefficient 21 as functions of f using statistical methods for disordered or randomly distributed magnetic moments.…”

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confidence: 99%

Nuclear magnetic resonance linewidth and spin diffusion inS29iisotopically controlled silicon

2008

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“…(7) itk. p. Im y"(t)= 0, t(0 (9) (10} where a=co0/PA'. Henceforth, for added simplicity, we shall not indicate k dependence in the dynamic quantities, which is present through the recoil frequency coo=Ak /2m, except where needed for clarity.…”

Section: Dynamic Susceptibilitymentioning

confidence: 99%

“…Since these quantities cannot be exactly obtained, one usually resorts to approximation, often motivated by Lorentzian and Gaussian curves observed in the characteristic spectral line shapes in nuclear magnetic resonance, electron paramagnetic resonance, and other tech- [9], for exainple, found that in certain resonance data, v4/v2-10 and v6/v2-10', i.e. , varying over large numbers, yet p4/pz-4, which is very close to the Gaussian value 3.…”

Section: Dynamic Susceptibilitymentioning

confidence: 99%

Dynamic response function and bounds of the susceptibility of a semiclassical gas and Kramers-Kronig relations in optic-data inversion

1992

Phys. Rev. A

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The frequency-dependent density-density response function for a semiclassical gas has been calculated from its defining equation of linear-response theory. The particular form of the response function appears to be relevant to optic-data inversion using Kramers-Kronig relations. Also the zero-frequency limit of the response function, being the static susceptibility, is a bounded function. The susceptibilityfor the semiclassical gas model provides a unique opportunity to test the bounds analytically. This study further suggests a slightly different derivation of the lower bounds, perhaps less abstract than by convexity theory via Jensen's inequality.PACS number(s): 05.20. -y, 05.90.+m, 61.20.Lc

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“…[32] is 4/9 of the factor 3/5 in front of the expression [3] for the second moment of a line broadened by homonuclear spins. This reduction is the result of the truncation of the flip-flop terms of the dipolar Hamiltonian between unlike spins (1)(2)(3).…”

Section: The Effect Of Refocusing Pulsesmentioning

confidence: 99%

A simple analytical model to describe dynamic magic‐angle spinning experiments

Hirschinger

2006

Concepts Magnetic Resonance

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A simple analytical method based on the memory-function approach and the Anderson-Weiss theory is presented for studying in a uniform way the spin dynamics in several NMR experiments performed under the conditions of magic-angle spinning (MAS). A series of 1 H MAS spectra of adamantane serve as an example for a sample with homogeneous line broadening. A good agreement between experimental and calculated integral spinning sideband intensities for a spinning frequency ranging from 5 to 33 kHz is obtained using a sixth-order approximation of the theory. Moreover, this model, which is able to describe the NMR spectra in the presence of a rotationally diffusive isotropic and anisotropic Gaussian-Markoff process, allows the treatment of the combined effects of sample spinning and molecular motion. Finally, the application of MAS recoupling methods in the intermediate motional regime is examined by using the concept of refocusing pulses. It is shown that recoupling experiments such as rotational-echo double-resonance (REDOR) can still be applied in the presence of anisotropic molecular motion.

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Calculation of NMR Line Shapes Using the Memory-Function Approach

Cited by 41 publications

References 35 publications

Nuclear magnetic resonance linewidth and spin diffusion inS29iisotopically controlled silicon

Nuclear magnetic resonance linewidth and spin diffusion inS29iisotopically controlled silicon

Dynamic response function and bounds of the susceptibility of a semiclassical gas and Kramers-Kronig relations in optic-data inversion

A simple analytical model to describe dynamic magic‐angle spinning experiments

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