Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Gamma radiation spectrum and fractional values of absorbed energy in an arbitrary homogeneous mixture


Some general consideration is given to approximate methods of passing from the exact integral equation for the spectral density of ψ-quanta to a differential equation of the first order. It is shown that the coefficients of the latter may be formed by various functions of a certain class. As a particular case, the approximation considered in [1–3] is derived. Certain approximate solutions are compared with known solutions of the integral equation [5]. Results presented include an approximate calculation of the distribution of absorbed ψ-ray energy between the elements of the mixture for one particular case; these are compared with the corresponding exact solutions taken from [4].

This is a preview of subscription content, log in to check access.

Literature Cited

  1. 1.

    O. I. Leipunskii, B. V. Novozhilov, and V. N. Sakharov, Propagation of Gamma-Quanta in Matter [in Russian], Moscow, Fizmatgiz (1960).

  2. 2.

    B. V. Novozhilov, Zh. eksperim. i teor. fiz.,33, 1287 (1957).

  3. 3.

    B. M. Terent'ev, and Yu. S. Ryabukhin, Zh. tekhn. fiz.,31, 837 (1961).

  4. 4.

    B. M. Terent'ev, V. A. El'tekov, and Yu. S. Ryabukhin, Atomnaya énergiya,13, 568 (1962).

  5. 5.

    P. Karr and J. Lamkin, Phys. Rev.,76, 1843 (1949).

  6. 6.

    N. P. Syrkus, A. Kh. Breger, and B. I. Vainshtein [Russian translation], Large Radiation Sources in Industry, Vienna, IAEA, (1960), p. 15.

  7. 7.

    M. Levine and M. Steinberg, Nucl. Sci. and Engng.,12, 498 (1962).

  8. 8.

    A. Kh. Breger et al. (see [6]Idem, p. 50).

Download references

Additional information

Translated from Atomnaya Énergiya, Vol. 16, No. 4, pp. 291–295, April, 1964

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Él'tekov, V.A., Terent'ev, B.M. & Panchvidze, M.V. Gamma radiation spectrum and fractional values of absorbed energy in an arbitrary homogeneous mixture. At Energy 16, 355–360 (1964).

Download citation


  • Radiation
  • Differential Equation
  • Integral Equation
  • Exact Solution
  • Approximate Solution