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ThermalNeutronBk2BkExpBeta.rst

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ThermalNeutronBk2BkExpBeta

.. index:: ThermalNeutronBk2BkExpBeta

Description

ThermalNeutronBk2BkExpBeta is a function to calculate \beta(d_h) of :ref:`ThermalNeutronBk2BkExpConvPVoigt <func-ThermalNeutronBk2BkExpConvPVoigt>`. It is defined as

\beta(d_h)  = \left(n\beta_0 + \beta_1 d_h + (1-n)\beta_0^t - \frac{\beta_1^t}{d_h}\right)^{-1}

where

n = \frac{1}{2} \mathit{erfc}(\text{Width}(t_\text{cross} - d^{-1}))

and

erfc(x) = 1-erf(x) = 1-\frac{2}{\sqrt{\pi}}\int_0^xe^{-u^2}du.
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