Linear attenuation coefficient: Difference between revisions
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The linear attenuation coefficient <math>\mu(E)</math>, or preferably <math>\mu_{TOT}(E)</math> in cm<sup>−1</sup>, is a measure of the photon beam attenuation by a material due to absorption and scattering processes and hence differs from the [[absorption coefficient]], which is a measure of beam attenuation due to absorption processes only. | The linear attenuation coefficient <math>\mu(E)</math>, or preferably <math>\mu_{TOT}(E)</math> in cm<sup>−1</sup>, is a measure of the photon beam attenuation by a material due to absorption and scattering processes and hence differs from the [[absorption coefficient]], which is a measure of beam attenuation due to absorption processes only. | ||
<math>\mu_{TOT}(E)</math> is given by | <center><math>\mu_{TOT}(E)</math></center> is given by | ||
<math>\mu_{tot} = \Big[{\mu\over\rho}\Big]_{TOT}\rho</math> | <center><math>\mu_{tot} = \Big[{\mu\over\rho}\Big]_{TOT}\rho</math></center> | ||
where <math>\rho</math> is the density of the material in g cm<sup>−3</sup>. | where <math>\rho</math> is the density of the material in g cm<sup>−3</sup>. | ||
Latest revision as of 19:08, 24 October 2026
Absorptionskoeffizient, linearer Schwächungskoeffizient (Ge). Coeficiente de atenuación lineal (Sp).
Definition
The linear attenuation coefficient [math]\textstyle{ \mu(E) }[/math], or preferably [math]\textstyle{ \mu_{TOT}(E) }[/math] in cm−1, is a measure of the photon beam attenuation by a material due to absorption and scattering processes and hence differs from the absorption coefficient, which is a measure of beam attenuation due to absorption processes only.
is given by
where [math]\textstyle{ \rho }[/math] is the density of the material in g cm−3.
History
Coefficients for converting between these units are given by many authors [Cohen, E. R. and Taylor, B. N. (1987). Rev. Mod. Phys. 59, 1121-1148; Creagh, D. C. and McAuley, W. J. (1992). International Tables for Crystallography, Volume C, ed. A. J. C. Wilson, Dordrecht: Kluwer; Chantler, C. T. (1995). J. Phys. Chem. Ref. Data 24, 71-643].