10.14489/td.2015.06.pp.034-040

2015, 06 June

DOI: 10.14489/td.2015.06.pp.034-040

Gorshkov V. A.
THE MASS ABSORPTION COEFFICIENT AND THE EFFECTIVE ATOMIC NUMBER OF A MULTICOMPONENT OBJECT FOR THE CONTINUOUS SPECTRUM OF THE RADIATION
(pp. 34-40)

Abstract. Determination of the effective atomic number is extremely important in the density measurement of multi-component objects. It is shown that for continuous spectra of X-ray radiation concepts of mass absorption coefficient of a complex substance and its effective atomic number can be entered only for infinitely thin objects. The mass attenuation coefficient determined by shares registered radiation of non-uniform object with finite thickness depends on the distribution of the average density and thickness of the object. However, this contradicts physical meaning of the mass absorption coefficient which may not depend on these characteristics of the object. The same applies to the effective atomic number defined by dual energy method. This paper introduces the notion of conditional mass absorption coefficient of the infinitely thin object in which the distribution of the mass concentration of component equivalent to their distribution in the object of finite thickness. It is shown that the value of the conditional absorption coefficient is equal to the average coefficient for the continuous spectrum of radia-tion. The paper presents the method of its calculation on the value of mathematical expectation of energy in the spectrum.

Keywords: X-ray, mass absorption coefficient, effective atomic number, continuous spectrum.

+ - About the Authors Click to collapse

V. A. Gorshkov
JSC RII “Spectrum”, Moscow, Russia. E-mail: Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра.

+ - References Click to collapse

1. Gorshkov V. A. (2014). Features of dual-energy in X-ray densitometry of multi-component objects. Kontrol'. Diagnostika, (10), pp. 25-30.
2. Gorshkov V. A., Rozhkova N. I., Prokopenko S. P. (2013). Visualization of microcalcifications on the basis of a convex combination of density and effective atomic number. Kontrol'. Diagnostika, (11), pp. 26-30.
3. Chakhlov S. V., Osipov S. P. (2013). Dual high-energy method to identificate substancies of test object. Kontrol'. Diagnostika, (9), pp. 9-17.
4. Derzhi N. (2013). Method for estimating effective atomic number and bulk density of rock samples using dual energy X-ray computed tomographic imaging. US Patent No. 20130028371. USA.
5. Heismann B. J., Leppert J., Stierstorfer K. (2013). Dual high-energy method to identificate substancies of test ob-ject. Kontrol'. Diagnostika, (9), pp. 9-17.
6. Hine G. J. (1952). Secondary electron emission and effec-tive atomic numbers. Nucleonics, (1), pp. 9-15.
7. Glasser O. (1947). Physical foundations of radiology. Published by Paul B.
8. Lewis M. K., Blake G. M., Fogelman I. (1994). Patient dose in dual X-ray absorptiometry. Osteoporos, (4), pp. 11-15.
9. Loader R., Dixon M., Taylor L. Materials and methods employed to validate a CT scanner’s approximation of effective atomic number. Available at: http://www.ctug.org.uk/meet12-10-04/ Materials and methods employed validate CT scanners approximation of effective atomic number.pdf
10. Murty R. C. (2007). Effective atomic numbers of hetero-geneous materials. Nature, pp. 398-399.
11. Pawar P. P., Bichile K. (2011). Effective atomic numbers and electron densities of amino acids containing H, C, N and O. Archives of Physics Research, 4(2), pp. 94-103.
12. Singh V. P., Badiger N. M., Kucuk N. (2014). Determina-tion of effective atomic numbers using different methods for some low-z materials. Journal of Nuclear Chemistry, 2014. doi: 10.1155/2014/725629
13. Spiers F. (1946). Effective atomic number and energy ab-sorption in tissues. British Journal of Radiology, 19(218), pp. 52-63.
14. J. Sung Park and Jong Kyung Kim. (2011). Calculation of effective atomic number and normal density using a source weighting method in a dual energy X-ray inspection system. Journal of the Korean Physical Society, 59(4), pp. 2709-2713. doi: 10.3938/jkps.59.2709.
15. Taylor M. L. et al. (2012). Robust calculation of effective atomic numbers: The Auto-Zeff software. Medical Physics, 39, pp. 1769-1778. doi: 10.1118/1.3689810.

+ - Purchase digital version of a single article Click to collapse

This article is available in electronic format (PDF).

The cost of a single article is 350 rubles. (including VAT 18%). After you place an order within a few days, you will receive following documents to your specified e-mail: account on payment and receipt to pay in the bank.

After depositing your payment on our bank account we send you file of the article by e-mail.

To order articles please fill out the form below: