Determination of the imaginary component of atomic scattering factor for x-ray for nickel element for the energy  range of 8.048-19.609 KeV

Calculations of f , the atomic scattering factor of an element for X-rays, have hitherto been made on the assumption that the value of f for a given value of sin θ/λ is independent of wave-length. This assumption is only justified when the frequency of the X-rays is much greater than the characteristic frequency of any of the energy levels in the scattering atom. This condition is realised when a hard radiation such as Mo Kα is used in order to investigate crystals containing only light elements, such as aluminium. Under these conditions it has been found that absolute determination of f made experimentally give results in excellent agreement with theory. In many investigations, however, we are dealing with an entirely different set of conditions. For example, investigations of alloys are usually carried out with Cr, Fe or Cu radiation. Often the alloys contain Cr, Mn, Fe, Co, Ni, Cu or Zn, and the K absorption edge for each of these elements is near the wave-length of the radiation employed. Under these circumstances the conditions postulated by the simple theory no longer hold. Dispersion terms must now be introduced into the scattering formula, and we get an effect which may in some degree be compared with the anomalous dispersion of light.

X-ray standing wave as a result of only the imaginary part of the atomic scattering factor

Acta Crystallographica Section A Foundations of Crystallography ◽

10.1107/s0108767398008095 ◽

1999 ◽

Vol 55 (2) ◽

pp. 267-273 ◽

Cited By ~ 8

Author(s):

Riichirou Negishi ◽

Tomoe Fukamachi ◽

Takaaki Kawamura

Keyword(s):

Standing Wave ◽

Accurate Method ◽

Anomalous Absorption ◽

Acta Cryst ◽

X Ray ◽

The Real ◽

Atomic Scattering Factor ◽

Atomic Scattering ◽

Scattering Factor

The X-ray standing wave has been studied when the real part of the scattering factor is zero. In the symmetric Laue case, the phase of the standing wave advances by π when the deviation parameter W changes from −1 to 1, which is the same variation as in the usual symmetric Bragg case when only the real part of the scattering factor exists. However, the phase in the former case is different from that in the latter by \pi/2. By using the standing waves, the origins of the anomalous transmission and anomalous absorption effects reported by Fukamachi & Kawamura [Acta Cryst. (1993), A49, 384–388] have been analysed. The standing wave in the Laue case can give rise to a more accurate method of site determination of a specified impurity atom as well as a wider range of applications than a conventional standing-wave approach.

Solid-state effect on the anomalous x-ray atomic scattering factor

Physical Review A ◽

10.1103/physreva.37.2968 ◽

1988 ◽

Vol 37 (8) ◽

pp. 2968-2969 ◽

Cited By ~ 4

Author(s):

M. S. Wang ◽

Sheau-Huey Chia

Keyword(s):

Solid State ◽

X Ray ◽

Atomic Scattering Factor ◽

State Effect ◽

Atomic Scattering ◽

Scattering Factor

Anomalous x-ray atomic scattering factor for Zr, Nb, and Mo

Physical Review A ◽

10.1103/physreva.40.5420 ◽

1989 ◽

Vol 40 (9) ◽

pp. 5420-5421

Author(s):

M. S. Wang ◽

Sheau-Huey Chia

Keyword(s):

X Ray ◽

Atomic Scattering Factor ◽

Atomic Scattering ◽

Scattering Factor

Calculation of The Imaginary Part of Atomic Form Factor For X-ray In Nickel

Tikrit Journal of Pure Science ◽

10.25130/j.v23i10.759 ◽

2019 ◽

Vol 23 (10) ◽

pp. 66

Author(s):

Ahmed Raheem Ahmed ◽

, Muhsin Hasan Ali

Keyword(s):

Imaginary Part ◽

High Energy ◽

Approximate Methods ◽

X Ray ◽

X Ray Scattering ◽

Atomic Scattering Factor ◽

Atomic Scattering ◽

Scattering Factor ◽

Atomic Form Factor ◽

Good Agreement

In the present study, we calculated the imaginary part of the x-ray scattering factor of nickel based on the principles of quantum mechanics to find a wave function that describes the electronic state of atoms by approximate methods, observed the study suggested that in both low energy values , and at high energy values , the imaginary part is approximately zero, this means that the electrons are intensely connected to the atom, where in the spectrum the photon energies are approximately equal to the electron bonding energy we note the study pointed out that the imaginary part of the atomic scattering factor become prominent and the electron becomes highly absorbent, the relative accuracy varies within range (0.03-0.22)%, and there was also a good agreement between the behavior we obtained for the imaginary part of the atomic scattering factor and the behavior that was calculated using other models. http://dx.doi.org/10.25130/tjps.23.2018.171

The atomic scattering factor for X-rays in the region of anomalous dispersion

Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character ◽

10.1098/rspa.1933.0030 ◽

1933 ◽

Vol 139 (838) ◽

pp. 459-466 ◽

Cited By ~ 6

Keyword(s):

Free Electron ◽

Scattered Radiation ◽

Wave Length ◽

Anomalous Dispersion ◽

X Rays ◽

Characteristic Frequencies ◽

X Ray ◽

Atomic Scattering Factor ◽

Atomic Scattering ◽

Scattering Factor

The atomic scattering factor ( f -factor) for X-rays is the ratio of the amplitude of the X-rays scattered by a given atom and that scattered according to the classical theory by one single free electron. It is given as a function of sin ϑ/λ, λ being the wave-length of the X-rays, 2ϑ the angle between the primary and the scattered radiation. It is assumed to be independent of the wave-length so long as sin ϑ/λ remains constant. Recently, however, it has been shown both theoretically and experimentally that the last assumption is no longer valid, when the scattered frequency is in the neighbourhood of one of the characteristic frequencies of the scattering element. The first to show the influence of the anomalous dispersion on the f factor were Mark and Szilard, who reflected strontium and bromine radiations by a rubidium bromide crystal. Theoretically the problem was dealt with by Coster, Knol and Prins in their investigation of the influence of the polarity of zincblende on the intensity of X-ray reflection and later on once more by Gloeker and Schäfer.

Model dependence of the anomalous x-ray atomic scattering factor

Physical Review A ◽

10.1103/physreva.38.5639 ◽

1988 ◽

Vol 38 (11) ◽

pp. 5639-5641 ◽

Cited By ~ 2

Author(s):

M. S. Wang ◽

Sheau-Huey Chia

Keyword(s):

X Ray ◽

Model Dependence ◽

Atomic Scattering Factor ◽

Atomic Scattering ◽

Scattering Factor

Modelling of cation displacements in SrTiO3by means of multi-energy anomalous X-ray diffuse scattering

Journal of Applied Crystallography ◽

10.1107/s1600576716007147 ◽

2016 ◽

Vol 49 (3) ◽

pp. 1016-1020 ◽

Cited By ~ 2

Author(s):

Miloš Kopecký ◽

Jan Fábry ◽

Jiří Kub

Keyword(s):

Absorption Edge ◽

Diffuse Scattering ◽

Ambiguous Information ◽

X Ray ◽

Two Photon ◽

Atomic Scattering Factor ◽

Atomic Scattering ◽

Scattering Factor

X-ray diffuse scattering of SrTiO3has been measured at two photon energies, the first just below the absorption edge and the second far from theKabsorption edge of strontium, in order to vary the atomic scattering factor of the strontium cations. It is shown that two different models of cation displacement comply with the single-energy diffuse scattering patterns, because single-energy diffuse scattering provides only ambiguous information on the directions of displacement of the Sr2+and Ti4+cations. However, the application of multi-energy anomalous diffuse scattering determines unambiguously that the Sr2+cations are moved from their ideal positions in the [100] direction and the Ti4+cations are shifted in {111} directions.

X-Ray Measurement of the Atomic Scattering Factor of Iron

Physical Review ◽

10.1103/physrev.115.81 ◽

1959 ◽

Vol 115 (1) ◽

pp. 81-86 ◽

Cited By ~ 14

Author(s):

Boris W. Batterman

Keyword(s):

X Ray ◽

Atomic Scattering Factor ◽

Atomic Scattering ◽

Scattering Factor