$callexciton

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

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

Physical Mechanics
1. Exciton Diffusion: $D^S{\nabla}^2{n_{ex}}$

2. Exciton Quenching: 解析失敗 (PNG 轉換失敗；請檢查是否正確安裝了 latex 與 dvipng (或 dvips + gs + convert)): (k_{r}+k_{nr})n_{ex}, [n_{ex}_1\rightarrow n_{ex}]

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

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

5. Triplet-Singlet Quenching: $k_{TS}TS, [S_1+T_1\rightarrow S_0+T_1]$

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

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

Where　

• $D$ is diffusion coefficient.
• $\tau$ is relaxation time of exciton.
• $\gamma$ is annihilation rate constant.
• $G$ is exciton generation rate.

Format

$callexciton
n
a 4 b c d f
d kr knr gamma g

Parameter Explanation

• 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. $(cm^{2}s^{-1})$
• kr : radiatvie rate constant $(s^{-1})$
• knr :non-radiative rate constant $(s^{-1})$
• gamma : quenching coefficient. $(cm^{2}s^{-1})$
• g : generation rate if you wanna let whole recombination rate change into exciton you should set g as 1.

Example

$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

static TTA model (mode 7)

Format

$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 

Parameter Explanation ...

Output Format
*.1DexQE
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,