檢視 $usemunpfunc 的原始碼

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


<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
 1 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
 11 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>