Some polishing of the documentation (34b9d87b) · Commits · XRFLab109 / Allpix Squared

doc/usermanual/06_models/05_impact_ionization.md

+8 −7

Original line number	Diff line number	Diff line
		@@ -61,7 +61,7 @@ This model can be selected in the configuration file via the parameter `multipli

		### Optimized parameters

		An optimized parametrization of the Massey model based on measurements with an infrared lased TCT setup is implemented in Allpix Squared, based on Table 2 of \[[@rd50ionization]\] with the values:
		An optimized parametrization of the Massey model based on measurements with an infrared laser is implemented in Allpix Squared, based on Table 2 of \[[@rd50ionization]\] with the values:

		```math
		\begin{aligned}
		@@ -103,10 +103,10 @@ Temperature scaling of the ionization coefficient is performed via the $`\gamma(
		Sentaurus TCAD user manual as:

		```math
		\gamma (T) = \tanh \left(\frac{\hbar \omega_{op}}{2 \times 8.6173\times 10^{-5} \,\text{eV/K} \cdot T_0} \right) \cdot \tanh \left(\frac{\hbar \omega_{op}}{2 \times 8.6173\times 10^{-5} \,\text{eV/K} \cdot T} \right)^{-1}
		\gamma (T) = \tanh \left(\frac{\hbar \omega_{op}}{2 k_{\mathrm{B}} \cdot T_0} \right) \cdot \tanh \left(\frac{\hbar \omega_{op}}{2 k_{\mathrm{B}} \cdot T} \right)^{-1}
		```

		with $`\hbar \omega_{op} = 0.063 \,\text{eV}`$. The value of the reference temperature $`T_0`$ is not entirely clear as it is never
		with $`\hbar \omega_{op} = 0.063 \,\text{eV}`$ and the Boltzmann constant $`k_{\mathrm{B}} = 8.6173\times 10^{-5} \,\text{eV/K}`$. The value of the reference temperature $`T_0`$ is not entirely clear as it is never
		stated explicitly, a value of $`T_0 = 300 \,\text{K}`$ is assumed.

		### Original publication
		@@ -132,7 +132,7 @@ This model can be selected in the configuration file via the parameter `multipli

		### Optimized parameters

		An optimized parametrization of the Van Overstraeten-De Man model based on measurements with an infrared lased TCT setup is implemented in Allpix Squared, based on Table 3 of \[[@rd50ionization]\] with the following parameter values:
		An optimized parametrization of the Van Overstraeten-De Man model based on measurements with an infrared laser is implemented in Allpix Squared, based on Table 3 of \[[@rd50ionization]\] with the following parameter values:

		```math
		\begin{aligned}
		@@ -142,11 +142,12 @@ An optimized parametrization of the Van Overstraeten-De Man model based on measu
		a_{\infty, h} &= 2.519\times 10^{6} \,\text{/cm}\\
		b_{h} &= 2.428\times 10^{6} \,\text{V/cm}\\
		\\
		\hbar \omega_{op} = 0.0758 \,\text{eV}
		\hbar \omega_{op} &= 0.0758 \,\text{eV}
		\end{aligned}
		```

		In contrast to the original model, this publication uses a parametrization without differentiating between low and high field regions.
		In contrast to the original model, this publication uses a parametrization without differentiating between low and high field regions, hence only one parameter value is provided for each of $`a_{\infty, h}`$ and $`b_{h}`$.

		This model can be selected in the configuration file via the parameter `multiplication_model = "overstraeten_optimized"`.


		@@ -192,7 +193,7 @@ This model can be selected in the configuration file via the parameter `multipli

		### Optimized parameters

		An optimized parametrization of the Okuto-Crowell model based on measurements with an infrared lased TCT setup is implemented in Allpix Squared, based on Table 4 of \[[@rd50ionization]\] with the following parameter values:
		An optimized parametrization of the Okuto-Crowell model based on measurements with an infrared laser is implemented in Allpix Squared, based on Table 4 of \[[@rd50ionization]\] with the following parameter values:

		```math
		\begin{aligned}