「$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16行： / 第16行： @@
 : <math> \tau_{n} = p1 \times (\frac{T}{p3}) ^{p2} </math> , and <math> \tau_{p} = \tau_{n} </math>
 : <math> \tau_{n} = p1 \times (\frac{T}{p5}) ^{p3} </math> , and <math> \tau_{n} = p2 \times (\frac{T}{p5}) ^{p4} </math>
-: <math> \tau_{n} = p1 +  \left(\frac{P2-P1}{1+(\frac{N_{d}}{p3}) ^{p3}} \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} = \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}}{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_{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>.
-     if (Tautype(region).eq.1) then
-         x=me%x(i)
+<br>'''<big><big>The $usetaunrbyfunc setting in GUI interface is here</big></big>''' <br>
-         y=me%y(i)
+Press '''Thermal''', check the box and set the fields as needed!<br>
-         me%taun(i)=taupar(1,region)*( sprst(i)/ taupar(3,region))**taupar(2,region) ! temperature depedent tau
+[[檔案:2D_usetaunrbyfunc_fig1.jpg|1200px]]
-         me%taup(i)=me%taun(i) ! temperature depedent tau
-      elseif (Tautype(region).eq.2) then
-         x=me%x(i)
-         y=me%y(i)
-         me%taun(i)=taupar(1,region)*( sprst(i)/ taupar(5,region))**taupar(3,region) ! temperature depedent tau
-         me%taup(i)=taupar(2,region)*( sprst(i)/ taupar(5,region))**taupar(4,region) ! temperature depedent tau
-      elseif (Tautype(region).eq.3) then   ! doping dependent tau
-         me%taun(i)=taupar(1,region)+  (taupar(2,region)-taupar(1,region)) / (1+(par%dope(region)/taupar(3,region))**taupar(4,region))
-         me%taup(i)=me%taun(i)
-      elseif (Tautype(region).eq.4) then   ! doping dependent tau
-         me%taun(i)=taupar(1,region)+  (taupar(2,region)-taupar(1,region)) / (1+(par%dope(region)/taupar(3,region))**taupar(4,region))
-         me%taup(i)=taupar(5,region)+  (taupar(6,region)-taupar(1,region)) / (1+(par%dope(region)/taupar(7,region))**taupar(8,region))
-      elseif (Tautype(region).eq.13) then   ! doping dependent tau
-         temp=taupar(3,region)+  (taupar(4,region)-taupar(1,region)) / (1+(par%dope(region)/taupar(5,region))**taupar(6,region))
-         me%taun(i)=temp*( sprst(i)/ taupar(2,region))**taupar(1,region)
-         me%taup(i)=me%taun(i)
-      end if

「$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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