To find the lifetime from plots has done by extrapolation the minimum slope of concentration and on a linear scale to find x-intercept on the time axis.
The EXTRACT statement was using to performe with the results such that .
The minority carrier lifetime is not an output of the numerical solutions in TCAD Silvaco. It is so that the software solves the semiconductor equations with relevant boundary conditions in the device. The outputs are the carrier concentration, the potential distribution and current distribution as well as the recombination rate.
For the solution one has to input the technological and the physical parameters of the different layers to the structure.= including the minority carrier lifetime or equivalently the trap density Nt and the capture cross sections. In fact there are some minority carrier lifetime models such as the Shockley-Read-Hall and orher empirical formulas giving how the Tau the minority carrier lifetime changes with the doping concentration.
You have to refer to the Silvaco manual to know these models and their model parameters.