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Empirical formulae for mass attenuation and energy absorption coefficients from 1 keV to 20 MeV

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Abstract

A new empirical formula is proposed for mass attenuation and energy absorption coefficients in the region 1 <Z< 92 and from 1 keV to 20 MeV. The mass attenuation and energy absorption coefficients do not varies linearly with energy. We have performed the nonlinear regressions/nonlinear least square fittings and proposed the simple empirical relations between mass attenuation coefficients (μ/ρ) and mass energy absorption coefficients (μ en /ρ) and energy. We have compared the values produced by this formula with that of experiments. A good agreement of present formula with the experiments/previous models suggests that the present formulae could be used to evaluate mass attenuation and energy absorption coefficients in the region 1 <Z< 92. This formula is a model-independent formula and is first of its kind that produces a mass attenuation and energy absorption coefficient values with the only simple input of energy for wide energy range 1 keV–20 MeV in the atomic number region 1 <Z< 92. This formula is very much useful in the fields of radiation physics and dosimetry.

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References

  1. J.H. Hubbell, Int. J. Appl. Radiat. Isot. 33, 1269 (1982)

    Article  Google Scholar 

  2. J.H. Hubbell, S.M. Seltzer, NISTIR 5632 (National Institute of Standards and Technology, Gaithersburg, MD, USA, 1995)

  3. M.J. Berger, J.H. Hubbell, NBSIR 87-3597 (National Institute of Standards and Technology, Gaithersburg, MD, USA, 1987)

  4. L. Gerward, N. Guilbert, K.B. Jensen, H. Levring, Radiat. Phys. Chem. 71, 653 (2004)

    Article  ADS  Google Scholar 

  5. B.R. Archer, L.K. Wagner, Med. Phys. 15, 637 (1988)

    Article  Google Scholar 

  6. E. Massaro, E. Costa, M. Salvati, Nucl. Instrum. Meth. 192, 423 (1982)

    Article  ADS  Google Scholar 

  7. T.H. Loi, M. Remy, C. Zeller, J. Phys. D: Appl. Phys. 10, 717 (1977)

    Article  ADS  Google Scholar 

  8. R.G. Ouellet, L.J. Schreinerf, Phys. Educ. Biol. 36, 987 (1991)

    Google Scholar 

  9. L. Genvard, Nucl. Instrum. Meth. 181, 11 (1981)

    Article  ADS  Google Scholar 

  10. A.A. Okunade, L.A. Hussain, Health Phys. 56, 943 (1989)

    Google Scholar 

  11. T.P. Thinh, J. Leroux, X-Ray Spectrom. 8, 85 (1979)

    Article  Google Scholar 

  12. D.R. White, Phys. Med. Biol. 22, 290 (1977)

    Google Scholar 

  13. L. Gerward, X-Ray Spectrom. 15, 29 (1986)

    Article  Google Scholar 

  14. K.F.J. Heinrich, Proceedings of the 11th International Congress on X-Ray Optics and Microanalysis, London, edited by J.D. Brown (University of Western Ontario, Canada, 1986)

  15. I. Orlic, Nucl. Instrum. Meth. 74, 352 (1993)

    Article  Google Scholar 

  16. I. Orlic, I. Bogdanovic, S. Zhou, J.L. Sanchez, Nucl. Inst. Meth. Phys. Res. B 150, 40 (1999)

    Article  ADS  Google Scholar 

  17. Shivalinge Gowda, S. Krishnaveni, T. Yashoda, T.K. Umesh, Ramakrishna Gowda, Pramana 63, 529 (2004)

    Article  ADS  Google Scholar 

  18. O. Gurler, H. Oz, S. Yalcin, O. Gundogdu, Appl. Radiat. Isot. 67, 201 (2009)

    Article  Google Scholar 

  19. A.A. Okunade, J. Med. Phys. 32, 125 (2007)

    Google Scholar 

  20. D.M. Tucker, G.T. Barnes, D.P. Chakraborty, Med. Phys. 18, 211 (1991)

    Article  Google Scholar 

  21. S.M. Seltzer, Radiat. Res. 136, 147 (1993)

    Article  Google Scholar 

  22. V. Manjunathaguru, T.K. Umesh, Pramana 72, 375 (2009)

    Article  ADS  Google Scholar 

  23. M.T. Teli, C.S. Mahajan, R. Nathuram, Ind. J. Pure Appl. Phys. 39, 816 (2001)

    Google Scholar 

  24. J.H. Hubbell, M.J. Berger, in Shielding Fundamentals and Methods, Engineering Compendium on Radiation Shielding, edited by R.G. Jaeger, E.P. Blizard, A.B. Chilton (Springer, Berlin, 1968), Vol. 1, p. 199

  25. P.D. Higgins, F.H. Attix, J.H. Hubbell, S.M. Seltzer, M.J. Berger, C.H. Sibata, Mass energy-transfer and mass energy-absorption coefficients, including in-flight positron annihilation for photon energies 1 keV to 100 MeV, NISTIR 4812 (1992)

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Correspondence to H. C. Manjunatha.

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Manjunatha, H.C., Seenappa, L., Sridhar, K.N. et al. Empirical formulae for mass attenuation and energy absorption coefficients from 1 keV to 20 MeV. Eur. Phys. J. D 71, 235 (2017). https://doi.org/10.1140/epjd/e2017-70679-7

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  • DOI: https://doi.org/10.1140/epjd/e2017-70679-7

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