Numerical description of photoelectric absorption coefficients for fundamental parameter programs

2003 ◽  
Vol 32 (6) ◽  
pp. 442-451 ◽  
Author(s):  
Horst Ebel ◽  
Robert Svagera ◽  
Maria F. Ebel ◽  
Abdallah Shaltout ◽  
John H. Hubbell
2005 ◽  
Vol 35 (1) ◽  
pp. 52-56 ◽  
Author(s):  
Abdallah Shaltout ◽  
Horst Ebel ◽  
Robert Svagera

1947 ◽  
Vol 25a (6) ◽  
pp. 303-314 ◽  
Author(s):  
W. V. Mayneord ◽  
A. J. Cipriani

Measurements of the absorption of gamma-rays from Co60 and radium have been made in a number of materials. Variation of absorption coefficient of the gamma-rays from radium with thickness of lead absorber is in agreement with recent experimental determinations. The gamma-rays from Co60 are approximately monochromatic and are therefore suitable for testing theoretical absorption formulae. The absorption coefficient per electron for materials of atomic number equal to or less than that of aluminium was in agreement with the Klein–Nishina formula, assuming the cobalt radiation to consist of two lines at 1.10 and 1.30 Mev. respectively. The photoelectric absorption coefficients per electron for heavy elements are in good agreement with the theory developed by Hulme, McDougall, Buckingham, and Fowler. This coefficient varies approximately as Z3.5.


New measurements of the absorption of filtered gamma-rays from radium (B + C) in aluminium, carbon and lead have been made. A small condenser type of ionization chamber has been used, which overcomes many of the difficulties usually inherent in this kind of measurement. Detailed consideration has been given to the corrections which must be applied to ionization measurements before absorption coefficients can be calculated. From the most recent theories of absolution by scattering, photoelectric effect, and electron pair formation, total absorption coefficients for lead over the wave-length range concerned have been calculated. The problem of the effective wave-length of a filtered heterogeneous gamma-ray beam is discussed in some detail, and a proposed method of estimation put forward. Comparison of the calculations of µ / ρ with the experimental figures indicates that the photoelectric absorption rises more rapidly with increasing wave-length than is predicted by theory.


Author(s):  
John Read ◽  
John Cunningham McLennan

In a previous paper an account has been given of the measurement of the absorption of monochromatic X-ray beams of wave-length in the region 50 to 20 x -units, in carbon and aluminium. The relation of the measured coefficient of absorption to the wave-Iength did not differ from that predicted by the Klein-Nishina formula by more than 1%. The method used in that experiment has been improved, and used to measure the absorption coefficients of lead, tin, copper, and iron for similar monochromatic beams. Because lead has been used very extensively for absorption measurements the primary aim has been to measure as accurately as possible the dependence of its absorption coefficient on the wave-length of the radiation. It has not been possible to make such accurate measurements on tin, copper, and iron, but enough data has been obtained to determine the variation of the photoelectric absorption coefficient per electron with the atomic number of the absorbing element, with fair accuracy, for radiation in this region of wave-lengths. Since these absorption coefficients may find considerable application, it is considered well to give a more detailed account of the method of measurement, so that an independent judgment of their reliability may be made.


1976 ◽  
Vol 31 (8) ◽  
pp. 887-897 ◽  
Author(s):  
J. D. Stephenson

AbstractA method is proposed, which primarily determines screening constants for incomplete atomic shells from the experimental ionization potentials of spin-paired Pauli-type orbitals. The method is complimentary and in addition to the standard Sommerfeld approach, which derives screening constants from X-ray spin doublet term differences. Atomic photoelectric absorption cross sections are computed from screened hydrogen-like eigenfunctions for low atomic number elements Z = 6 to 15, using a range of incident photon energies between 1 and 30 keV. Comparison with experiment and alternate more exact theories shows, that improved cross sections are obtained for the more important incomplete L-shell contributions. X-ray photoelectric mass absorption coefficients for low Z elements (Z= 6 to 15), employing 33 characteristic X-ray energies {NiKα (0.852 keV) to AgKβ (24.942 keV)}, are given.


Three papers have recently appeared describing investigations of the absorption of the very hard γ-rays from thorium C˝ in a number of elements, and in each case the conclusion was drawn that the results indicate that these very high energy quanta are capable of interacting with certain atomic nuclei. The three sets of experimental results do not agree in detail, but in each case the trend of the variation of absorption coefficient with atomic number is very different form the Z 3 law characteristic of photoelectric absorption. Moreover, the difference between the absorption coefficients per electron in heavy and light elements, which has hitherto been attributed to photoelectric absorption, is nearly as great for the hard thorium C˝ γ-rays ( hv =2·65. 10 6 ε-volts), as for the much softer redium C γ-rays ( hv ~ 1·8. 10 6 ε-volts), in marked contrast with the rapid variation with wave-length observed in the softer γ-ray region of the spectrum. Very little is at present know concerning the magnitude of the photo-eletric effect in the γ-rays region, and since absorption coefficients measured in the usual manner are the sum of two terms referring respectively to scattering and to photoelectric absorption, it is essential for the further elucidation of the problem to study the actual scattered radiation.


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