檢視 $gaussiantraps 的原始碼

Function gaussian-distribution traps. <br /> 
Note that currently Gaussian-distribution traps only consider how carrier traps. The recombination with opposite carriers are not well considered. So it is only suitable for condition where the lifetime is very long.

<big><big>'''Format'''</big></big> 
 $gaussiantraps
  Gaussiantrap_num
  type Nt Et σ degeneracy <math>\tau_n~~~ \tau_p</math>

'''<big><big>Parameter Explanation</big></big>''' <br />
* type : type = 1 is electron trap and type = 2 is hole trap. Type 201 is the hole trap relatives to Ev. The program will will convert 201 to 2 by adding Eg to the set Et. type 11 is the filled able electron traps and type 21 are the filled able hole traps. type 211 is Et relative to Ev.  
         
* Gaussiantrap_num: 1 or 2. How many Gaussian traps levels. Up limit is 2 right now.   Gaussiantrap_num should be either 1 or 2

* Nt : total trap concerntraion. The positive and negative value is decided by type. There is no need to put (+ or -) here. For example 1.0e16 <math>(cm^{-3})</math><br />

* Et : the depth of traps central. <math>(eV)</math>. The position of Et is decided by related position to Ec. For example, if trap is 1.1eV below conduction band, -1.1eV is used. Hole trap is using the same definition as electron trap, which is related to Ec also. <br />

* σ : the FWHM of trap. <math>(eV)</math><br />

* degeneracy the degeneracy of traps we usually set as 1. <br />

* <math>\tau_n</math> : nonradiative lifetime of electrons. <math>(Sec.)</math><br /> 

* <math>\tau_p</math> : nonradiative lifetime of holes. <math>(Sec.)</math><br />

Note that usually  <math> \tau = \frac{1}{N_{t}v_{th}\sigma} </math>. Therefore, when Nt is increased, the non-radiative lifetime should decrease as well. Users need to adjust this by themselves. 


'''<big><big>Example</big></big>''' 
 $gaussiantraps
 1
 1 9e16 -3.3 0.12 1 1e-8 1e-8 
 1 9e16 -3.3 0.12 1 1e-8 1e-8 
 2 1e18 -3.3 0.12 1 1e-8 1e-8 
 2 1e18 -3.3 0.12 1 1e-8 1e-8
 201 1e18 0.1 0.12 1 1e-8 1e-8

 Note If Eg=3.4eV, 201 1e18 0.1 0.12 1 1e-8 1e-8 ,  0.1-3.4 = -3.3eV which is equal to 2 1e18 -3.3 0.12 1 1e-8 1e-8

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Related commands: [[$traps (2D) ]], [[$multitraps]]