檢視 $usetaunrbyfunc 的原始碼

$usetaunrbyfunc is to enable the temperature and carrier density dependent nonradiative lifetime module with the predefined function. The function is designed for each region. 
So if total n regions is used, then you will need to setup n regions. The format is 

 $usetaunrbyfunc
 Type_R1  p1 p2 p3 p4 p5.....p12
 Type_R2  p1 p2 p3 p4 p5.....p12
 Type_R3  p1 p2 p3 p4 p5.....p12
 ...
 ...
 ... 
 Type_RN  p1 p2 p3 p4 .....p12


Type 
 0: Use the original nonradiative lifetime defined in parameter setions
 1: <math> \tau_{n} = p1 \times (\frac{T}{p3}) ^{p2} </math> , and <math> \tau_{p} = \tau_{n} </math>
 2: <math> \tau_{n} = p1 \times (\frac{T}{p5}) ^{p3} </math> , and <math> \tau_{n} = p2 \times (\frac{T}{p5}) ^{p4} </math>
 3: <math> \tau_{n} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p4}} \right) </math> , and <math> \tau_{p} = \tau_{n} </math>
 4: <math> \tau_{n} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p4}} \right) </math> , and <math> \tau_{p} = p5 +  \left(\frac{P6-P5}{1+(\frac{N_{a}}{p7}) ^{p8}} \right) </math>
 13: <math> \tau_{n,0} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p4}} \right) </math>,  <math>\tau_{n} = \tau_{n,0} \times (\frac{T}{p5}) ^{p6} </math> , and <math> \tau_{p} = \tau_{n} </math>
 24: <math> \tau_{n,0} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p4}} \right) </math>,  <math>\tau_{n} = \tau_{n,0} \times (\frac{T}{p5}) ^{p6} </math> , and 
     <math> \tau_{p,0} = p7 +  \left(\frac{P8-P7}{1+(\frac{N_{d}}{p9}) ^{p10}} \right) </math>,  <math>\tau_{p} = \tau_{p,0} \times (\frac{T}{p11}) ^{p12} </math>.

If the lifetime is for activated dopant then

 31: <math> \tau_{n} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}^{+}}{p3}) ^{p4}} \right) </math> , and <math> \tau_{p} = \tau_{n} </math>
 41: <math> \tau_{n} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}^{+}}{p3}) ^{p4}} \right) </math> , and <math> \tau_{p} = p5 +  \left(\frac{P6-P5}{1+(\frac{N_{a}^{-1}}{p7}) ^{p8}} \right) </math>
 131: <math> \tau_{n,0} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}^{+}}{p3}) ^{p4}} \right) </math>,  <math>\tau_{n} = \tau_{n,0} \times (\frac{T}{p5}) ^{p6} </math> , and <math> \tau_{p} = \tau_{n} </math>
 241: <math> \tau_{n,0} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}^{+}}{p3}) ^{p4}} \right) </math>,  <math>\tau_{n} = \tau_{n,0} \times (\frac{T}{p5}) ^{p6} </math> , and 
     <math> \tau_{p,0} = p7 +  \left(\frac{P8-P7}{1+(\frac{N_{a}^{-}}{p9}) ^{p10}} \right) </math>,  <math>\tau_{p} = \tau_{p,0} \times (\frac{T}{p11}) ^{p12} </math>.


<br>'''<big><big>The $usetaunrbyfunc setting in GUI interface is here</big></big>''' <br>
After setting up the general structure, press '''Thermal''', check the box and set the fields as needed!<br>
[[檔案:2D_usetaunrbyfunc_fig1.jpg|1200px]]