「$usemunpfunc」：修訂間差異

於 2025年1月6日 (一) 11:36 的最新修訂

Function for organic material. We usually assume the carrier mobility is depend on electrical field and follow Poole-Frenkel field dependent mobility equation.

Mobility follow this equation

$μ = μ_{0} e x p (β \sqrt{E})$

Where　

$μ_{0}$ is the zero-field mobility
$β$ is the factor of mobility increasing
$E$ is the electric field.

Format

$usemunpfunc
1 μe βe μh βh

Parameter Explanation

 $μ_{n} = μ_{0} e x p (β \sqrt{E})$ ,   $μ_{p} = μ_{0} e x p (β \sqrt{E})$

μe : electron zero-field mobility. $(c m^{2} e V^{- 1} s^{- 1})$
βe : electron beta. $(e V^{- 1 / 2})$
μh : hole zero-field mobility. $(c m^{2} e V^{- 1} s^{- 1})$
βh : hole beta. $(e V^{- 1 / 2})$

$usemunpfunc
11 μe βe μh βh  $v_{n, s a t}$   $v_{p, s a t}$

Parameter Explanation

μe : electron zero-field mobility. $(c m^{2} e V^{- 1} s^{- 1})$
βe : electron beta. $(e V^{- 1 / 2})$
μh : hole zero-field mobility. $(c m^{2} e V^{- 1} s^{- 1})$
βh : hole beta. $(e V^{- 1 / 2})$
$v_{n, s a t}$ saturate electron velocity (cm/s)
$v_{p, s a t}$ saturate hole velocity (cm/s)

  $μ_{n, t e m p} = μ_{0} e x p (β \sqrt{E})$ ,   $μ_{p, t e m p} = μ_{0} e x p (β \sqrt{E})$

 If  $μ_{n, t e m p} \times E > v_{n, s a t}, t h e n μ_{n} = \frac{v_{n, s a t}}{E}$ 
 If  $μ_{p, t e m p} \times E > v_{p, s a t}, t h e n μ_{p} = \frac{v_{p, s a t}}{E}$

The $usemunpfunc setting for 1D-DDCC in GUI interface

The parameters are modified in step 4.

@@ 第1行： / 第1行： @@
 Function for organic material. We usually assume the carrier mobility is depend on electrical field and follow Poole-Frenkel field dependent mobility equation.
+Mobility follow this equation
-<big><big>'''format'''</big></big>
+<math>\mu=\mu_0 exp(\beta\sqrt{E})</math>
+Where
+* <math>\mu_0</math> is the zero-field mobility
+* <math>\beta</math> is the factor of mobility increasing
+* <math>E</math> is the electric field.
+<big><big>'''Format'''</big></big>
   $usemunpfunc
-mue0 betae muh0 betah
+μe βe μh βh
+'''<big><big>Parameter Explanation</big></big>'''
+ <math>\mu_n=\mu_0 exp(\beta\sqrt{E})</math>,  <math>\mu_p=\mu_0 exp(\beta\sqrt{E})</math>
+* μe : electron zero-field mobility. <math>(cm^{2}eV^{-1}s^{-1})</math>
+* βe : electron beta. <math>(eV^{-1/2})</math>
+* μh : hole zero-field mobility. <math>(cm^{2}eV^{-1}s^{-1})</math>
+* βh : hole beta. <math>(eV^{-1/2})</math>
+ $usemunpfunc
+μe βe μh βh <math>v_{n,sat}</math> <math>v_{p,sat}</math>
+'''<big><big>Parameter Explanation</big></big>'''
+* μe : electron zero-field mobility. <math>(cm^{2}eV^{-1}s^{-1})</math>
+* βe : electron beta. <math>(eV^{-1/2})</math>
+* μh : hole zero-field mobility. <math>(cm^{2}eV^{-1}s^{-1})</math>
+* βh : hole beta. <math>(eV^{-1/2})</math>
+* <math>v_{n,sat}</math>  saturate electron velocity (cm/s)
+* <math>v_{p,sat}</math>  saturate hole velocity (cm/s)
+  <math>\mu_{n,temp}=\mu_0 exp(\beta\sqrt{E})</math>,  <math>\mu_{p,temp}=\mu_0 exp(\beta\sqrt{E})</math>
+  If <math> \mu_{n,temp} \times E > v_{n,sat}, then \mu_n = \frac{v_{n,sat}}{E} </math>
+  If <math> \mu_{p,temp} \times E > v_{p,sat}, then \mu_p = \frac{v_{p,sat}}{E} </math>
+<big>'''The $usemunpfunc setting for 1D-DDCC in GUI interface '''</big> <br>
- parameter explanation
+The parameters are modified in step 4.<br>
-mue0 u8efbc9aelectron mobility at e 0 unit cm 2 ev -1 s -1
+[[檔案:1d_$usemunpfunc_fig1.jpg|1300px]]<br>
-betae u8efbc9aelectron beta unit ev -0.5
+[[檔案:1d_$usemunpfunc_fig2.jpg|300px]]<br>
-muh0 u8efbc9ahole mobility at e 0 unit cm 2 ev -1 s -1
-betah u8efbc9ahole beta unit ev -0.5

「$usemunpfunc」：修訂間差異

於 2025年1月6日 (一) 11:36 的最新修訂

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