"$usetaunrbyfunc" 修訂間的差異

於 2018年4月2日 (一) 10:23 的最新修訂

$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:  $\tau_{n} = p1 \times (\frac{T}{p3}) ^{p2}$  , and  $\tau_{p} = \tau_{n}$ 
2:  $\tau_{n} = p1 \times (\frac{T}{p5}) ^{p3}$  , and  $\tau_{n} = p2 \times (\frac{T}{p5}) ^{p4}$ 
3:  $\tau_{n} = p1 + \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p4}} \right)$  , and  $\tau_{p} = \tau_{n}$ 
4:  $\tau_{n} = p1 + \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p4}} \right)$  , and  $\tau_{p} = p5 + \left(\frac{P6-P5}{1+(\frac{N_{a}}{p7}) ^{p8}} \right)$ 
13:  $\tau_{n,0} = p1 + \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p4}} \right)$ ,   $\tau_{n} = \tau_{n,0} \times (\frac{T}{p5}) ^{p6}$  , and  $\tau_{p} = \tau_{n}$ 
24:  $\tau_{n,0} = p1 + \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p4}} \right)$ ,   $\tau_{n} = \tau_{n,0} \times (\frac{T}{p5}) ^{p6}$  , and 
     $\tau_{p,0} = p7 + \left(\frac{P8-P7}{1+(\frac{N_{d}}{p9}) ^{p10}} \right)$ ,   $\tau_{p} = \tau_{p,0} \times (\frac{T}{p11}) ^{p12}$ .

If the lifetime is for activated dopant then

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

"$usetaunrbyfunc" 修訂間的差異

於 2018年4月2日 (一) 10:23 的最新修訂

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@@ 行 3： / 行 3： @@
  $usetaunrbyfunc
- Type_R1  p1 p2 p3 p4 p5.....
+ Type_R1  p1 p2 p3 p4 p5.....p12
- Type_R2  p1 p2 p3 p4 p5.....
+ Type_R2  p1 p2 p3 p4 p5.....p12
- Type_R3  p1 p2 p3 p4 p5.....
+ Type_R3  p1 p2 p3 p4 p5.....p12
  ...
  ...
  ...
- Type_RN  p1 p2 p3 p4 .....
+ Type_RN  p1 p2 p3 p4 .....p12
@@ 行 21： / 行 21： @@
 : <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
+: <math> \tau_{n} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}^{+}}{p3}) ^{p4}} \right) </math> , and <math> \tau_{p} = \tau_{n} </math>
+: <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>
+: <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>
+: <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>.