「$usetaunrbyfunc」：修訂間差異

於 2024年11月21日 (四) 09:44 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:  $τ_{n} = p 1 \times (\frac{T}{p 3})^{p 2}$  , and  $τ_{p} = τ_{n}$ 
2:  $τ_{n} = p 1 \times (\frac{T}{p 5})^{p 3}$  , and  $τ_{n} = p 2 \times (\frac{T}{p 5})^{p 4}$ 
3:  $τ_{n} = p 1 + (\frac{P 2 - P 1}{1 + (\frac{N_{d}}{p 3})^{p 4}})$  , and  $τ_{p} = τ_{n}$ 
4:  $τ_{n} = p 1 + (\frac{P 2 - P 1}{1 + (\frac{N_{d}}{p 3})^{p 4}})$  , and  $τ_{p} = p 5 + (\frac{P 6 - P 5}{1 + (\frac{N_{a}}{p 7})^{p 8}})$ 
13:  $τ_{n, 0} = p 1 + (\frac{P 2 - P 1}{1 + (\frac{N_{d}}{p 3})^{p 4}})$ ,   $τ_{n} = τ_{n, 0} \times (\frac{T}{p 5})^{p 6}$  , and  $τ_{p} = τ_{n}$ 
24:  $τ_{n, 0} = p 1 + (\frac{P 2 - P 1}{1 + (\frac{N_{d}}{p 3})^{p 4}})$ ,   $τ_{n} = τ_{n, 0} \times (\frac{T}{p 5})^{p 6}$  , and 
     $τ_{p, 0} = p 7 + (\frac{P 8 - P 7}{1 + (\frac{N_{d}}{p 9})^{p 10}})$ ,   $τ_{p} = τ_{p, 0} \times (\frac{T}{p 11})^{p 12}$ .

If the lifetime is for activated dopant then

31:  $τ_{n} = p 1 + (\frac{P 2 - P 1}{1 + (\frac{N_{d}^{+}}{p 3})^{p 4}})$  , and  $τ_{p} = τ_{n}$ 
41:  $τ_{n} = p 1 + (\frac{P 2 - P 1}{1 + (\frac{N_{d}^{+}}{p 3})^{p 4}})$  , and  $τ_{p} = p 5 + (\frac{P 6 - P 5}{1 + (\frac{N_{a}^{- 1}}{p 7})^{p 8}})$ 
131:  $τ_{n, 0} = p 1 + (\frac{P 2 - P 1}{1 + (\frac{N_{d}^{+}}{p 3})^{p 4}})$ ,   $τ_{n} = τ_{n, 0} \times (\frac{T}{p 5})^{p 6}$  , and  $τ_{p} = τ_{n}$ 
241:  $τ_{n, 0} = p 1 + (\frac{P 2 - P 1}{1 + (\frac{N_{d}^{+}}{p 3})^{p 4}})$ ,   $τ_{n} = τ_{n, 0} \times (\frac{T}{p 5})^{p 6}$  , and 
     $τ_{p, 0} = p 7 + (\frac{P 8 - P 7}{1 + (\frac{N_{a}^{-}}{p 9})^{p 10}})$ ,   $τ_{p} = τ_{p, 0} \times (\frac{T}{p 11})^{p 12}$ .

The $usetaunrbyfunc setting in GUI interface is here
Press Thermal, check the box and set the fields as needed!

@@ 第3行： / 第3行： @@
   $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
@@ 第21行： / 第21行： @@
 : <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>.
+<br>'''<big><big>The $usetaunrbyfunc setting in GUI interface is here</big></big>''' <br>
+Press '''Thermal''', check the box and set the fields as needed!<br>
+[[檔案:2D_usetaunrbyfunc_fig1.jpg|1200px]]

「$usetaunrbyfunc」：修訂間差異

於 2024年11月21日 (四) 09:44 的最新修訂

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