Abstract
The real and imaginary parts,f’(E) and”(E) of the dispersion corrections to the forward Rayleigh scattering amplitude (also called anomalous scattering factors) for the elements La, Ce, Pr, Nd, Sm, Gd, Dy, Ho and Er, have been determined by a numerical evaluation of the dispersion integral that relates them through the optical theorem to the photoeffect cross-sections. The photoeffect cross-sections are derived from the total attenuation cross-section data set experimentally determined using high resolution high purity germanium detector in a narrow beam good geometry set-up for these elements in the photon energy range 5 to 1332 keV and reported earlier by the authors. Below 5 keV, Scofield’s photoeffect cross-sections compiled in XCOM program have been interpolated and used. Simple formulae forf” in terms of atomic number and energy have also been obtained. The data cover the energy region from 6 to 85 keV and atomic numberZ from 57–68. The results obtained are found to agree fairly well with the other available data.
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References
H M Nussenzveig,Causality and dispersion relations (Academic Press, New York, 1972)p. 183
L Kissel,Acta Crystallogr. A51, 271 (1995)
M S Wang,Phys. Rev. A34, 636 (1986)
M S Wang and R H Pratt,Phys. Rev. A28, 3115 (1983)
B Zhou, Lynn Kissel and R H Pratt,Nucl. Instrum. Methods Phys. Res. B66, 307 (1992)
B L Henke, P Lee, T J Tanaka, R L Shimambukuro and B K Fujikawa,At. Data Nucl. Data Tables 27, 1(1982)
B L Henke, E M Gullikson and J C Davis,At. Data Nucl. Data Tables 54, 181 (1993)
I Waller,Z. Phys. 51, 213 (1928)
M Gavrila,Photon atom elastic scattering in inner-shell and x-ray physics of atoms and solids edited by B Craseman (Plenum, New York, 1981)
P P Kane, L Kissel, R H Pratt and S C Roy,Phys. Rep. 140, 75 (1986)
D Creagh,J. Phys. 38, 371 (1985)
H Hönl,Ann. Phys. 18, 625 (1933)
R W James,The optical principles of the diffraction of x-rays (Bell and Sons, London, 1962) ch. 4
Ramaseshan and S C Abrahams,Proceedings of the International Conference, 22–26 April 1974 (Madrid, Spain, 75)
D Templeton, inResonant anomalous x-ray scattering edited by Mateliket al (Elsevier, North-Holland, 1994) p. 9
T Cromer and D Liberman,J. Chem. Phys. 53, 1891 (1970)
D Creagh,Phys. Lett. A103, 52 (1984)
D Y Smith,Phys. Rev. 35, 3381 (1987)
DC Creagh and W J McAuley,International tables for crystallography C edited by A J C Wilson (Kluwer Academic Publishers, Dordrecht, 1992) p. 206
L Kissel, S C Roy and R H Pratt,Phys. Rev. A22, 1972 (1980)
L Kissel and R H Pratt,Acta Crystallogr. A46, 170 (1990)
C T Chantler,J. Phys. Chem. Ref. Data 24, 71 (1995)
D E Cullen, E Dermott, John H Hubbell and L Kissel,The Evaluated Photon Data Library, 97 Version (Lawrence Livermore National Laboratory, 1997)
T Fukamachi, S Hosoya, T Kawamura and J Hastings,J. Appl. Crystallogr. 10, 321 (1977)
U Bonse, I Hartmann-Lotsch and H Lotsch,Nucl. Instrum. Methods 208, 603 (1983)
D Creagh,Phys. Lett. A77, 129 (1980)
P Drier, P Rabe, W Malzfeldt and W Niemann,J. Phys. C17, 3123 (1984)
L Gerward, G Thuesen, Stibius Jensen and I Alistrup,Acta Crystallogr. A35, 852 (1979)
M Keffi, J M Andre, Y Heno, G Gorgi and C Bonnelle,Phys. Rev. 45, 2859 (1992)
J H Barkyoumb and D Y Smith,Phys. Rev. 41, 4863 (1990)
Sandiago, T K Umesh and Ramakrishna Gowda,Pramana — J. Phys. 48, 1077 (1997)
T KUmesh,Sandiago and Ramakrishna Gowda,Radiat. Phys. Chem. 51, 373 (1998)
M J Berger and J H Hubbell,Natl. Bur. Stand. Internal Rep. 87, 3597 (1987); XCOM, photon cross section on a personal computer
M L Mallikarjuna, S B Appajigowda, R Gowda and T K Umesh,Radiat. Phys. Chem. 65/3, 217 (2002)
T K Umesh, R Gowda and B Sanjeevaiah,Phys. Rev. A25, 1986 (1982)
T K Umesh, C Ranganathaiah and B Sanjeevaiah,Phys. Rev. A29, 387 (1984)
T K Umesh, C Ranganathaiah and B SanjeevaiahPhys. Rev. A32, 959 (1985)
K Umesh, S J Anasuya, J Shylajakumari, Channegowda, Gopinathan Nair and Ramakrishna Gowda,Phys. Rev. A45, 2101 (1992)
J H Scofield,Theoretical photoionization cross-sections from 1–1500 keV (Lawrence Livermore Laboratory, 1973) UCRL-51326
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Gowda, S.B.A., Mallikarjuna, M.L., Gowda, R. et al. Anomalous scattering factors of some rare earth elements evaluated using photon interaction cross-sections. Pramana - J Phys 61, 539–551 (2003). https://doi.org/10.1007/BF02705477
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DOI: https://doi.org/10.1007/BF02705477