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

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Ahmed Raheem Ahmed
Muhsin Hasan Ali

Abstract

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.

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How to Cite
Ahmed Raheem Ahmed, & Muhsin Hasan Ali. (2019). Calculation of The Imaginary Part of Atomic Form Factor For X-ray In Nickel. Tikrit Journal of Pure Science, 23(10), 66–71. https://doi.org/10.25130/tjps.v23i10.565
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References

[1] Krishnananda; Niranjana, K.N; Badiger, N.M.

(2013). Measurement of real and imaginary form

Factor of silver atom using a high resolution HPGe

detector. Journal of X-Ray Science and Tecgnology,

21(4) : 557-565.

[2] Islam, M. T. et al. (2014). Measurement of the Xray

mass attenuation coefficients of silver in the 5–20

keV range. Physical Review, 21: 413–423.

[3] Sidhu, B.S; Dhaliwal, A.S; Mann, K.S. and

Kahlon, K.S. (2012). Study of mass attenuation

coefficients, effective atomic numbers and electron

densities for some low Z compounds of dosimetry

interest at 59.54 keV incident photon energy. Annals

of Nuclear Energy, 42: 153–157.

[4] Chantler, C.T; Tran, C.Q; Paterson, D; Cookson,

D. and Barnea, Z. (2001). X-ray Extended-Range

Technique for Precision Measurement of The X-ray

Mass Attenuation Coefficient and Im(F) for Copper

Using Synchrotron Radiation. Physics Letters, A 286:

338–346.

[5] de Jonge, M.D; Tran, C. Q. and Hester, J. R.

(2010). X-ray mass attenuation coefficients and

imaginary components of the atomic form factor of

zinc over the energy range of 7.2–15.2 keV. Physical

Review, A 81: 022904 .

6] الشماع سالم حسن . ( 1988 ) . اساسيات ميكانيك الكم . دار ]

الكتب للطباعة والنشر ، جامعة الموصل .

[7] Griffiths, D.J. (1995). Introduction To Quantum

Mechanics . 3rd edn., new york, USA .

[8] Shankar, R. (1994). Principles of Quantum

Physics. 2nd edn., USA.

[9] Lewis, H. R; Bates, J. W. and Finn, J. M. (1996).

Time-dependent perturbation theory for the

construction of invariants of Hamiltonian systems.

Physics Letters, A 215: 160-166.

[10] Greiner, W. (1989). Quantum Mechanics An Introduction. 3rd edn., Physics and Astronomy, Springer.

[11] Simon, B.(1989). Quantum Mechanics for Hamiltonians Defined as Quadratic Form. Princeton University Press, New Jersey .

[12] Muhammad, W. and Lee, S.H. (2013). Impact of anomalous effects on the angular distribution of coherently scattered photons using Monte Carlo simulation. Acta Cryst, A69: 297–308.

[13] Rodrigues, J.B. and Cuusatis, C. (2001). Determination of X-ray Photoelectric Absorption of Ge and Si Avoiding Solid-State Effects. Nuclear Instruments and Methods in Physics Research, B 179: 325-333.

[14] Nielson, J. A. and Morrow, D.M. (2011). Elements of Modern X-ray Physics. 2nd Edn., John Wiley and Sons Ltd.

[15] Joly, Y.(2001). X-ray Absorption Near-Edge Structure Calculations Beyond The Muffin-Tin Approximation. Physical Review, B 63: 1–10

[16] Tran, C.Q; Chantler, C.T; Barnea, Z; Paterson, D. and Cookson, D.J. (2003). Measurement of the x-ray mass attenuation coefficient and the imaginary part of the form factor of silicon using synchrotron radiation. Physical Review, A 67: 1–12.

[17] Chantler, C.T. (1995). Theoretical Form Factor, Attenuation, and Scattering Tabulation for Z=1–92 from E=1–10 eV to E=0.4–1.0 MeV. physical and Chemical Reference Data, 24, 71,82.

[18] Henke, B.L; Lee, P; Tanaka, T.J; Shimambukuro, R.L. and Fujikawa, B.K. (1982). Atomic Data and Nuclear Data Tables, 27: 1–144 .

[19] Rae, N. A; Chantler, C.T. and Barnea, Z. (2010). X-ray mass attenuation coefficients and imaginary components of the atomic form factor of zinc over the energy range of 7.2–15.2 keV. Physical Review, A 81, 022904.