\(\renewcommand\AA{\unicode{x212B}}\)

ThermalNeutronBk2BkExpAlpha

Description

ThermalNeutronBk2BkExpAlpha is a function to calculate \(\alpha(d_h)\) of ThermalNeutronBk2BkExpConvPVoigt. It is defined as

\[\alpha(d_h) = \left(n\alpha_0 + \alpha_1 d_h + (1-n)\alpha_0^t - \frac{\alpha_1^t}{d_h}\right)^{-1}\]

where

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

and

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

Properties (fitting parameters)

Name

Default

Description

Width

1.0

Tcross

1.0

Alph0

0.0

Alph1

0.0

Alph0t

0.0

Alph1t

0.0

Categories: FitFunctions | General

Source

C++ header: ThermalNeutronBk2BkExpAlpha.h

C++ source: ThermalNeutronBk2BkExpAlpha.cpp