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

  • H. C. Manjunatha
  • L. Seenappa
  • K. N. Sridhar
  • N. Sowmya
  • Chikka Hanumantharayappa
Regular Article


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 (μen/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.

Graphical abstract


Atomic and Molecular Collisions 


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Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • H. C. Manjunatha
    • 1
  • L. Seenappa
    • 1
    • 4
  • K. N. Sridhar
    • 2
  • N. Sowmya
    • 1
  • Chikka Hanumantharayappa
    • 3
  1. 1.Department of PhysicsGovernment College for WomenKarnatakaIndia
  2. 2.Department of PhysicsGovernment First Grade CollegeKarnatakaIndia
  3. 3.Vivekananda Degree CollegeKarnatakaIndia
  4. 4.Department of PhysicsBharathiar UniversityTamilnaduIndia

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