The parameter values implemented in Allpix Squared are taken from Table 1 of \[[@okuto]\], using the values for silicon, as:
```math
@@ -188,6 +190,28 @@ The parameter values implemented in Allpix Squared are taken from Table 1 of \[[
This model can be selected in the configuration file via the parameter `multiplication_model = "okuto"`.
### 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:
```math
\begin{aligned}
a_{300, e} &= 0.289 \,\text{/V}\\
c_{e} &= 9.03\times 10^{-4}\\
b_{300, e} &= 4.01\times 10^{5} \,\text{V/cm}\\
d_{e} &= 1.11\times 10^{-3}\\
\\
a_{300, h} &= 0.202 \,\text{/cm}\\
c_{h} &= -2.20\times 10^{-3}\\
b_{300, h} &= 6.40\times 10^{5} \,\text{V/cm}\\
d_{h} &= 8.25\times 10^{-4}\\
\end{aligned}
```
This model can be selected in the configuration file via the parameter `multiplication_model = "okuto_optimized"`.
## Bologna Model
The Bologna model \[[@bologna]\] describes impact ionization for experimental data in an electric field range from