# Difference between revisions of "Linear attenuation coefficient"

### From Online Dictionary of Crystallography

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== Definition == | == Definition == | ||

− | The linear attenuation coefficient <math>\mu(E)</math>, or preferably <math>\mu_{TOT}(E)</math> in cm<sup> | + | 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 | <math>\mu_{TOT}(E)</math> is given by | ||

Line 7: | Line 7: | ||

<math>\mu_{tot} = \Big[{\mu\over\rho}\Big]_{TOT}\rho</math> | <math>\mu_{tot} = \Big[{\mu\over\rho}\Big]_{TOT}\rho</math> | ||

− | where <math>\rho</math> is the density of the material in g | + | where <math>\rho</math> is the density of the material in g cm<sup>−3</sup>. |

== History == | == History == |

## Revision as of 09:04, 20 May 2017

## Definition

The linear attenuation coefficient [math]\mu(E)[/math], or preferably [math]\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.

[math]\mu_{TOT}(E)[/math] is given by

[math]\mu_{tot} = \Big[{\mu\over\rho}\Big]_{TOT}\rho[/math]

where [math]\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].