The Linear Momenta of Electrons in Atoms and in Solid Bodies as Revealed by X-Ray Scattering

DuMond, Jesse W. M.

doi:10.1103/revmodphys.5.1

Cited by 171 publications

(34 citation statements)

References 22 publications

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“…As a consequence the struck electron would recoil. However, the moving electron leaves the Compton scattered line broadened [4]. The momentum distribution of the electron inside the scatterer is called Compton profile.…”

mentioning

confidence: 99%

A novel approach to normalize Compton profiles of pure incoherent scatterers

Sankarshan

Umesh

2016

EPL

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-In this paper we show that the effective atomic number of amorphous materials which can be treated as pure incoherent scatterers can itself be used as a constant for normalizing the experimental Compton profiles. This finding is expected to be useful since calculation of the normalization constant by the usual procedure of integrating the Biggs et al. Compton profile values is a tedious task for composite materials. This method is applicable to pure incoherent scatterers of known as well as unknown composition.

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confidence: 99%

A novel approach to normalize Compton profiles of pure incoherent scatterers

Sankarshan

Umesh

2016

EPL

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“…The method of Dumond (1933), which corresponds to simple collisions between an incident photon of high energy and one electron of the scattering system, gave good results for the study of Compton profiles of atoms (Cornille, 1967). This method was justified at the Sagamore Conference II (Cornille, 1967b) as far as high-energy incident beams are concerned and was applied to some light molecules.…”

Section: Methods Of Calculationmentioning

confidence: 99%

Some molecular Compton profiles

Cornille¹,

Roux²,

Tsapline³

1970

Acta Cryst Sect A

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Several calculations of atomic Compton profiles have shown that this physical property is very sensitive to the choice of the wave functions used to characterize the scattering system when calculating its kinetic energy as well as the mean values of its momentum and radius of charge distribution. The same method related to Dumond theory was applied to the case of molecules isoelectronic with neon and argon atoms. The results obtained give useful information about the charge distribution in the scattering system.

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“…(4) 2 7zp dp a relationship which was already known to the pioneers in the field [5] and which restricts the spherically symmetrical J (q) to have a single maximum at q = 0 owing to the positive-definiteness of Q(P). If, on the other hand, the specimen is a single crystal, the orientation of the line of projection can be varied with respect to the crystal coordinate 0340-4811 / 85 / 0100-0099 $ 01.30/0.…”

Section: Dj(p) Q(p) = -Tmentioning

confidence: 99%

“…2 ) dp (5) can be sampled along radial lines q = (q,9 q ,<p q ) with constant orientation 0 q , <p q and variable radial distance q in momentum space. With the choice of q in (5) instead of p. in (1) we have passed from the k coordinate system to the crystal coordinate system.…”

Section: J{q) = \\\Q{p)and{p-q-qmentioning

confidence: 99%

Three-Dimensional Reciprocal Form Factors and Momentum Densities of Electrons from Compton Experiments I. Symmetry-Adapted Series Expansion of the Electron Momentum Density

Heuser-Hofmann

Weyrich

1985

Zeitschrift Für Naturforschung A

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All methods of reconstruction of the electron momentum density from Compton scattering data are based on a series expansion of this density in terms of symmetry-adapted surface spherical harmonics (polyhedral harmonics). Owing to the improvements of y-ray and X-ray Compton spectrometers during the last few years, measurements of Compton spectra of single crystals in a shorter time and with higher angular resolution have become feasible. Therefore, in addition to the current studies, an increased number of investigations of a greater variety of crystals with large sets of directional data will soon be performed. This work is at first concerned with the accurate and efficient computation of associated Legendre functions of the first kind, Pf, with high / and m and for the whole range of their real argument, which are needed for the description of data with high angular resolution. We further show that electron momentum densities obey Laue-class symmetries in the case of crystals and point-group symmetries with an inversion centre in general, in absence of external magnetic fields. All necessary information about the polyhedral harmonics belonging to the totally symmetric representations of these point groups is given, with particular emphasis on the group O h for which the hexoctahedral harmonics with I ^ 20 are displayed graphically. In addition, the locations of the extrema on the unit sphere are tabulated.

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The Linear Momenta of Electrons in Atoms and in Solid Bodies as Revealed by X-Ray Scattering

Cited by 171 publications

References 22 publications

A novel approach to normalize Compton profiles of pure incoherent scatterers

A novel approach to normalize Compton profiles of pure incoherent scatterers

Some molecular Compton profiles

Three-Dimensional Reciprocal Form Factors and Momentum Densities of Electrons from Compton Experiments I. Symmetry-Adapted Series Expansion of the Electron Momentum Density

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