Mass absorption (attenuation) coefficient

Input(s)

\(\mathrm{N}\): Number of Atoms per Unit Volume \(\left(\boldsymbol{m}^{-\mathbf{3}}\right)\)

\(\sigma\): Thin Cross Section Expressed in Barns per Atom (1 barn is \(\mathbf{1 0}^{-\mathbf{2 8}} \boldsymbol{m}^{\mathbf{2}}\) ) ( \(\boldsymbol{m}^{\mathbf{2}} /\) atom \()\)

\(\rho\): Density \(\left(\mathrm{kg} / \mathrm{m}^{3}\right)\)

Output(s)

\(\boldsymbol{\alpha}_{\boldsymbol{l}}\): Linear Absorption Coefficient \((1 / \mathrm{m})\)

\(\boldsymbol{\alpha}_{\boldsymbol{m}}\): Mass Absorption Coefficient \(\left(\mathrm{m}^{2} / \mathrm{kg}\right)\)

Formula(s)

\[ \begin{gathered} \alpha_{l}=\sigma * N \\ \alpha_{\mathrm{m}}=\frac{\alpha_{1}}{\rho} \end{gathered} \]

Reference(s)

Bassiouni, Z., 1994, Theory, Measurement, and Interpretation of Well Logs. SPE Textbook Series Vol. 4. Chapter 2, Page: 33-34.


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