Analysis of EXAFS oscillation of FCC crystals using classical anharmonic correlated Einstein model

A computer program which calculates inner-shell ionization and backscattering cross sections for fast electrons incident on a crystal is presented. The program calculates the inelastic scattering coefficients for inner-shell ionization, pertinent to electron energy loss spectroscopy and energy dispersive X-ray analysis, using recently presented parameterizations of the atomic scattering factors. Orientation-dependent cross sections, suitable for atom location by channelling enhanced microanalysis, may be calculated. Inelastic scattering coefficients that allow the calculation of orientation-dependent annular dark-field and Rutherford backscattering maps are calculated using an Einstein model. In all cases, absorption due to thermal diffuse scattering, also calculated using an Einstein model, can be included.

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A Bose–Einstein model of particle multiplicity distributions

Nuclear Physics A ◽

10.1016/j.nuclphysa.2006.12.002 ◽

2007 ◽

Vol 784 (1-4) ◽

pp. 515-535 ◽

Cited By ~ 3

Author(s):

A.Z. Mekjian ◽

T. Csörgö ◽

S. Hegyi

Keyword(s):

Particle Multiplicity ◽

Einstein Model ◽

Multiplicity Distributions ◽

Bose Einstein

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Investigation of the anharmonic EXAFS oscillation of distorted HCP crystals based on extending quantum anharmonic correlated Einstein model

Japanese Journal of Applied Physics ◽

10.35848/1347-4065/ac21b3 ◽

2021 ◽

Vol 60 (11) ◽

pp. 112001

Author(s):

Tong Sy Tien

Keyword(s):

Einstein Model

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Diffusion Coefficients of Methane in Methylbenzene and Heptane at Temperatures between 323 K and 398 K at Pressures up to 65 MPa

International Journal of Thermophysics ◽

10.1007/s10765-020-02700-0 ◽

2020 ◽

Vol 41 (8) ◽

Cited By ~ 2

Author(s):

Malyanah Binti Mohd Taib ◽

J. P. Martin Trusler

Keyword(s):

Diffusion Coefficients ◽

Infinite Dilution ◽

Hydrodynamic Radius ◽

Taylor Dispersion ◽

Relative Uncertainty ◽

Dispersion Method ◽

Solvent Density ◽

Einstein Model ◽

Taylor Dispersion Method ◽

Simple Empirical Model

Abstract We reported experimental measurements of the diffusion coefficient of methane at effectively infinite dilution in methylbenzene and in heptane at temperatures ranging from (323 to 398) K and at pressures up to 65 MPa. The Taylor dispersion method was used and the overall combined standard relative uncertainty was 2.3%. The experimental diffusion coefficients were correlated with a simple empirical model as well as the Stokes–Einstein model with the effective hydrodynamic radius of methane depending linearly upon the solvent density. The new data address key gaps in the literature and may facilitate the development of an improved predictive model for the diffusion coefficients of dilute gaseous solutes in hydrocarbon liquids.

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Detailed Calculations of Thermal Diffuse Scattering

Microscopy and Microanalysis ◽

10.1017/s1431927600012654 ◽

1997 ◽

Vol 3 (S2) ◽

pp. 1153-1154

Author(s):

D.A. Müller ◽

B. Edwards ◽

E.J. Kirkland ◽

J. Silcox

Keyword(s):

Diffuse Scattering ◽

Single Point ◽

Scanning Transmission Electron Microscope ◽

Diffraction Spot ◽

Thermal Diffuse Scattering ◽

Transmission Electron ◽

Einstein Model ◽

Scanning Transmission ◽

Convergent Beam ◽

Thermal Diffuse

Convergent beam electron diffraction (CBED) produces a diffraction pattern from a single point on the specimen using a focused probe in the scanning transmission electron microscope (STEM). Because the incident wavefunction is a focused probe, each diffraction spot is enlarged to a disk the size of the objective aperture. Thermal vibration in the specimen reduces the intensity of the diffraction disks and introduces scattering in between the disk. This normally forbidden scattering between the diffraction disks is referred to as thermal diffuse scattering (TDS). The effects are most pronounced at large scattering angles, where TDS scattering can greatly reduce the intensity of the higher order Laue zone (HOLZ) lines. Previous work on modeling the TDS intensity involved the so-called frozen phonon method and the Einstein model of lattice vibration. The Einstein model assumes that each atom in the specimen vibrates independently of every other atom in the specimen and possible correlations among adjacent atoms are ignored.

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