檢視 $callexciton 的原始碼

</math>Function for calculate the exciton distribution. We usually use this equation for organic material. Behavior of exciton will follow this equation. You can see the detail in [[Subroutine_exciton1D]].

Singlet Rate Equation:
<math>\frac{S}{dt}=D^S{\nabla}^2{S}-(k_{r}^S+k_{nr}^S+k_{e}^Sn+k_{h}^Sp+k_{TS}T)S+\alpha\frac{\gamma_{TS}}{2}{T}^2+G_{S}</math>

Triplet Rate Equation:
<math>\frac{T}{dt}=D^S{\nabla}^2{T}-(k_{r}^T+k_{nr}^T+k_{e}^Tn+k_{h}^Tp)T-\gamma_{TS}T^2-\frac{\gamma_{TT}}{2}{T}^2+G_{T}</math>

'''<big><big>Physical Mechanics</big></big>'''<br />
<big>1. Exciton Diffusion: <math>D^S{\nabla}^2{n_{ex}}</math></big>

<big>2. Exciton Quenching: <math>(k_{r}^{S,T}+k_{nr}^{S,T})S/T, [{S_1/T}_{1}\rightarrow {S_0/T}_{0}]</math></big>

<big>3. Singlet-Polaron Quenching: <math>(k_{e}^Sn+k_{h}^Sp)S, [S_1+n/p\rightarrow S_0+n/p^{*}]</math></big>

<big>4. Triplet-Polaron Quenching: <math>(k_{e}^Tn+k_{h}^Tp)T, [T_1+n/p\rightarrow S_0+n/p^{*}]</math></big>

<big>5. Triplet-Singlet Quenching: <math>k_{TS}TS, [S_1+T_1\rightarrow S_0+T_1]</math></big>

<big>6. Triplet-Triplet Annihilation: <math>\gamma_{TS}T^2+\frac{\gamma_{TT}}{2}{T}^2, [T_1+T_1\rightarrow S_0+T_1]\&[T_1+T_1\rightarrow S_1+S_0]</math></big>

<big>7. Triplet-Triplet Fusion: <math>\alpha\frac{\gamma_{TS}}{2}{T}^2, [T_1+T_1\rightarrow S_1+S_0]</math></big>

Where　
* <math>D</math> is diffusion coefficient.
* <math>\tau</math> is relaxation time of exciton.
* <math>\gamma</math> is annihilation rate constant.
* <math>G</math> is exciton generation rate.

'''<big><big>Format</big></big>'''<br />
 $callexciton
 n
 a 4 b c d f
 d kr knr gamma g<br />

'''<big><big>Parameter Explanation</big></big>''' 

* n : the number of tables we usually set n as 5. 
* a : The type of exciton solver mode  
  1: Time-dependent triplet solver 
  123: Time-dependent triplet and singlet solver (For TADF OLEDs model)
  3: Triplet Exciton Solver (For PhOLEDs model)
  6: Singlet and Triplet Exciton Solver (For TADF OLEDs model)
  4: Triplet Exciton Solver with exciton blocking boundary 
  7: Singlet-Triplet Exciton Solver (For TTF/TADF OLEDs)
  71: Time-dependent singlet-triplet exciton solver with pumping time (For TTF/TADF OLEDs)
  711: Time-dependent singlet-triplet exciton solver (For TTF/TADF's TrEL and TRPL spectrum)

* b : Start time (For time-dependent solver)
* c : dt (For time-dependent solver)
* d : End time (For time-dependent solver)
* e : savenum (For time-dependent solver)
* D : diffusion coefficient. <math>(cm^{2}s^{-1})</math>
* kr : radiatvie rate constant   <math>(s^{-1})</math>
* knr :non-radiative rate constant  <math>(s^{-1})</math>
* gamma : quenching coefficient.  <math>(cm^{2}s^{-1})</math>
* g : generation rate if you wanna let whole recombination rate change into exciton you should set g as 1.

<big>'''<big>Example</big>'''</big> <br />

 $callexciton
 5
 2e-14 20000 3000 1e-12 1
 2e-14 20000 3000 1e-12 1
 2e-14 20000 3000 1e-12 1
 2e-14 20000 3000 1e-12 1
 2e-14 20000 3000 1e-12 1

<big>'''<big>static TTA model (mode 7)</big>'''</big> <br />


'''<big><big>Format</big></big>'''<br />
 $callexciton
 20
 7 1 1
 DS DT krS knrS krT knrT kisc krisc keS khS keT khT kST gammaTS gammaTT a DrefS DrefT ES ET <br />

'''<big><big>Parameter Explanation</big></big>''' 
...


<big>'''<big>Output Format</big>'''</big> <br />
'''<big><big>*.1DexQE</big></big>'''<br />
V I Sr Snr Tr Tnr Sisc Tisc KeS KhS keT khT kts Sann TSA TTA sumSQE sumTQE 

1 2  3   4  5   6    7    8   9  10  11  12  13   14  15  16     17     18

sumSQE+sumTQE should equal to 1.

[[Subroutine_exciton1D]],