Magnetization, nuclear, distribution

The main difference between the quoted papers lies in the modeling of the magnetic moment distribution in the nucleus a bulk distribution is assumed in the present paper and in paper [11] and a surface distribution is adopted in ref [22]. A systematic 1% difference is observed, which cannot be explained by the uncertainty in the nuclear radius. However, it is known that variations of the nuclear size within reasonable limits can lead to variations in the value of A of several orders of magnitude [11, 14]. This question will be analysed in a separ-ate paper. 

In general the corrections for the distribution of nuclear magnetization are small and can be expressed in terms of a parameter s, which relates the A-factors for point magnetization and distributed magnetization as... 

Another important quantity related to the current density distribution is the nuclear magnetic moment density distribution (or magnetization density distribution) m(r) = r x j(r), which integrates to the magnetic moment = f d r m(r) briefly mentioned above. Finally, the magnetic induction field, generated by the nuclear current density distribution, can be obtained from the vector potential or from the current density distribution as... 

C. W. de Jager, H. de Vries, C. de Vries, Nuclear Charge- And Magnetization-Density-Distribution Parameters Prom Elastic Electron Scattering, At. Data Nucl. Data Tables 14 (1974) 479-508, 16 (1975) 580. 

Generally speaking, the density p ri —ta)-, which appears in the nuclear spin-dependent terms, does not coincide with the nucleon density relevant for the nuclear spin-independent term (see for instance also equation 26 in ref. [90]). The situation is reminiscent of the magnetic moment distribution... 

The complicated Fe SRPAC spectrum of Ni ferrite was quite unexpected for us at the beginning. However, by including partial alignment of the nuclear magnetic moments, distribution of internal magnetic fields and the elastic scattering contribution into the theoretical model, we reproduced the spectrum very well, and the result is consistent with our Mossbauer data. This indicates that SRPAC can reveal very detailed hyperfine interactions. 

One has seen that the number of individual components in a hydrocarbon cut increases rapidly with its boiling point. It is thereby out of the question to resolve such a cut to its individual components instead of the analysis by family given by mass spectrometry, one may prefer a distribution by type of carbon. This can be done by infrared absorption spectrometry which also has other applications in the petroleum industry. Another distribution is possible which describes a cut in tei ns of a set of structural patterns using nuclear magnetic resonance of hydrogen (or carbon) this can thus describe the average molecule in the fraction under study. 

Brown, J.K. and W.R. Ladner Jr (1960), Distribution in coallike materials by high-resolution nuclear magnetic resonance spectroscopy . Fuel, Vol. 39, p. 87. 

Relaxation refers to all processes which regenerate the Boltzmann distribution of nuclear spins on their precession states and the resulting equilibrium magnetisation along the static magnetic field. Relaxation also destroys the transverse magnetisation arising from phase coherenee of nuelear spins built up upon NMR excitation. 

Spin-lattice relaxation is the steady (exponential) build-up or regeneration of the Boltzmann distribution (equilibrium magnetisation) of nuelear spins in the static magnetic field. The lattice is the molecular environment of the nuclear spin with whieh energy is exchanged. 

The distribution of the vectors normal to the surface is particularly interesting since it can be obtained experimentally. The nuclear magnetic resonance (NMR) bandshape problem, for polymerized surfaces, can be transformed into the mathematical problem of finding the distribution function f x) of... 

W. Gozdz, R. Holyst. Distribution functions for H nuclear magnetic resonance band shapes for polymerized surfactant molecules forming triply periodic surfaces. J Chem Phys 706 9305-9312, 1997. 

As a prelude to the discussion it is necessary to consider the definition of orientation in terms of the Euler angles, and the definition ofan orientation distribution function in terms ofan expansion ofLegendre functions. These definitions set the scene for examining the information which can be obtained from different spectroscopic techniques. In this review, infra-red and Raman spectroscopy and nuclear magnetic resonance, will be considered. 

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