「$usemunpfunc」：修訂間差異

於 2018年3月26日 (一) 02:19 的修訂

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 解析失敗 (不明函數 "\v"): {\displaystyle \v_{n,sat}}
 解析失敗 (不明函數 "\v"): {\displaystyle \v_{p,sat}}

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. $(e V^{- 1 / 2})$
解析失敗 (不明函數 "\v"): {\displaystyle \v_{n,sat}} saturate electron velocity (cm/s)
解析失敗 (不明函數 "\v"): {\displaystyle \v_{p,sat}} 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 解析失敗 (不明函數 "\v"): {\displaystyle  \mu_{n,temp} \times E > \v_{n,sat}, then {\mu_n} = \frac{1\v_{n,sat}}{E} }

 If 解析失敗 (不明函數 "\v"): {\displaystyle  \mu_{n,temp} \times E > \v_{n,sat}, then {\mu_n} = \frac{1\v_{n,sat}}{E} }

@@ 第29行： / 第29行： @@
   $usemunpfunc
-μe βe μh βh <math>\mu_{n,sat}</math> <math>\mu_{p,sat}</math>
+μe βe μh βh <math>\v_{n,sat}</math> <math>\v_{p,sat}</math>
@@ 第39行： / 第39行： @@
 * μh : hole zero-field mobility. <math>(cm^{2}eV^{-1}s^{-1})</math>
 * βh : hole beta. <math>(eV^{-1/2})</math>
-* <math>\mu_{n,sat}</math>  saturate electron mobility
+* <math>\v_{n,sat}</math>  saturate electron velocity (cm/s)
-* <math>\mu_{p,sat}</math>  saturate hole mobility
+* <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>
-   <math> \frac{1}{\mu_n} = \frac{1}{\mu_{n,temp}} + \frac{1}{\mu_{n,sat}} </math>
-   <math> \frac{1}{\mu_p} = \frac{1}{\mu_{p,temp}} + \frac{1}{\mu_{p,sat}} </math>
+   If <math> \mu_{n,temp} \times E > \v_{n,sat}, then {\mu_n} = \frac{1\v_{n,sat}}{E} </math>
+   If <math> \mu_{n,temp} \times E > \v_{n,sat}, then {\mu_n} = \frac{1\v_{n,sat}}{E} </math>

「$usemunpfunc」：修訂間差異

於 2018年3月26日 (一) 02:19 的修訂

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