The table lists the parameters used in the different models
implemented in 'RLumModel'. The tables are automatically
extracted from the output of the function .set_pars() to
provide a better human-readable output format.
It is common in the published literature to assign descriptive names to the energy levels. Obviously, this labelling is open to interpretation and has nothing carved in stone. Moreover, it depends partly on the model and the authors’ understanding.
Although different models are implemented in
'RLumModel', we did not assess whether they are meaningful
but implemented them to allow direct comparison. Please remember that
the main differences between models narrow down to the assumed
concentration of specific levels (for instance, \(N\)). Sometimes models have different
concentration levels underpinned by experiments that were or were not
suitable to validate those changes. However, sometimes concentration
levels differ because the authors modified them by try and error. Either
way, we strongly recommend double-checking the
underlying assumption of each model in the original article.
| LEVEL | LABEL | DESCRIPTION |
|---|---|---|
| trap_1 | 110ºC TL | Electron trap associated with the 110ºC TL peak |
| trap_2 | 230ºC TL | Electron trap associated with the 230ºC TL peak |
| trap_3 | OSL_fast | Electron trap feeding the OSL fast component |
| trap_4 | OSL_medium | Electron trap linked to the OSL medium component |
| (trap_5) | OSL_deep/OSL_slow1 | Electron trap linked to the first OSL slow component or the deep OSL trap |
| (trap_6) | OSL_slow2/TT-OSL | Electron trap linked to the second OSL slow component or the TT-OSL trap |
| (trap_7) | OSL_slow3/BT-OSL | Electron trap linked to the third OSL slow component or the BT-OSL trap |
| (trap_8) | OSL_deep | Electron trap linked to the deep OSL trap |
| centre_1 | R1 centre | Reservoir centre 1, non-radiative, thermally unstable |
| centre_2 | R2 centre | Reservoir centre 2, non-radiative, thermally unstable |
| centre_3 | K centre | Killer centre, non-radiative recombination centre |
| centre_4 | L centre | Luminescence centre |
The levels given in parentheses change according to the maximum
number of levels in the model. For instance, if the model has only five
electron traps, level trap_5 is associated with the deep
OSL electron trap. However, if the model has traps associated with slow
components, as in Bailey (2001), the OSL
deep trap is associated with the trap_8 (cf. Friedrich, Kreutzer, and Schmidt 2016).
Please note that, unlike in the table above, the parameter tables
below are generated automatically from the models implemented in
'RLumModel'. Therefore the labelling is kept very
general.
| N (cm^-3) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| concentration of electron traps | |||||||||
| # | Bailey2001 | Bailey2004 | Pagonis2008 | Pagonis2007 | Bailey2002 | Friedrich2017 | Friedrich2018 | Peng2022 | |
| trap_1 | 1 | 1.5e+07 | 1.42e+10 | 1.5e+07 | 5.1e+09 | 9.0e+09 | 1.5e+07 | 1.5e+07 | 1.50e+07 |
| trap_2 | 2 | 1.0e+07 | 1.50e+09 | 1.0e+07 | 1.0e+07 | 1.0e+09 | 1.0e+07 | 1.0e+07 | 1.00e+07 |
| trap_3 | 3 | 1.0e+09 | 2.05e+11 | 4.0e+07 | 1.0e+11 | 1.5e+11 | 1.0e+09 | 1.0e+09 | 1.00e+09 |
| trap_4 | 4 | 2.5e+08 | 7.04e+10 | 2.5e+08 | 2.5e+08 | 5.0e+10 | 2.5e+08 | 2.5e+08 | 2.50e+08 |
| trap_5 | 5 | 5.0e+10 | 1.77e+11 | 5.0e+10 | 5.0e+10 | 1.0e+11 | 5.0e+10 | 5.0e+10 | 5.00e+10 |
| trap_6 | 6 | NA | 2.53e+11 | 5.0e+09 | NA | 1.5e+11 | NA | NA | NA |
| trap_7 | 7 | NA | 3.58e+12 | 4.0e+09 | NA | 2.0e+12 | NA | NA | NA |
| trap_8 | 8 | NA | 1.28e+13 | NA | NA | 5.0e+12 | NA | NA | NA |
| centre_1 | 9 | 3.0e+08 | 4.16e+12 | 3.0e+08 | 3.0e+08 | 1.2e+11 | 3.0e+09 | 1.0e+10 | 1.65e+08 |
| centre_2 | 10 | 1.0e+10 | 4.20e+11 | 1.0e+10 | 1.0e+10 | 1.0e+12 | 1.0e+10 | 1.0e+10 | 5.00e+09 |
| centre_3 | 11 | 5.0e+09 | 1.15e+14 | 1.2e+12 | 5.0e+09 | 5.0e+11 | 5.0e+09 | 5.0e+09 | 5.00e+09 |
| centre_4 | 12 | 1.0e+11 | 8.83e+13 | 3.0e+10 | 1.0e+08 | 1.0e+13 | 1.0e+11 | 1.0e+11 | 1.00e+11 |
| E (eV) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| depth below conduction or valence band | |||||||||
| # | Bailey2001 | Bailey2004 | Pagonis2008 | Pagonis2007 | Bailey2002 | Friedrich2017 | Friedrich2018 | Peng2022 | |
| trap_1 | 1 | 0.97 | 0.97 | 0.97 | 0.97 | 0.97 | 0.97 | 0.97 | 0.97 |
| trap_2 | 2 | 1.55 | 1.55 | 1.55 | 1.55 | 1.55 | 1.55 | 1.55 | 1.55 |
| trap_3 | 3 | 1.70 | 1.70 | 1.73 | 1.73 | 1.70 | 1.70 | 1.70 | 1.70 |
| trap_4 | 4 | 1.72 | 1.72 | 1.80 | 1.80 | 1.72 | 1.72 | 1.72 | 1.72 |
| trap_5 | 5 | 2.00 | 1.80 | 2.00 | 2.00 | 1.80 | 1.95 | 1.95 | 2.00 |
| trap_6 | 6 | NA | 1.65 | 1.65 | NA | 1.65 | NA | NA | NA |
| trap_7 | 7 | NA | 2.60 | 1.60 | NA | 2.60 | NA | NA | NA |
| trap_8 | 8 | NA | 2.00 | NA | NA | 2.00 | NA | NA | NA |
| centre_1 | 9 | 1.43 | 1.75 | 1.43 | 1.43 | 1.43 | 1.80 | 1.80 | 1.41 |
| centre_2 | 10 | 1.75 | 1.43 | 1.75 | 1.75 | 1.75 | 1.75 | 1.75 | 1.65 |
| centre_3 | 11 | 5.00 | 5.00 | 5.00 | 5.00 | 5.00 | 5.00 | 5.00 | 5.00 |
| centre_4 | 12 | 5.00 | 5.00 | 5.00 | 5.00 | 5.00 | 5.00 | 5.00 | 5.00 |
| s (s^-1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| frequency factor | |||||||||
| # | Bailey2001 | Bailey2004 | Pagonis2008 | Pagonis2007 | Bailey2002 | Friedrich2017 | Friedrich2018 | Peng2022 | |
| trap_1 | 1 | 5e+12 | 5e+12 | 5.0e+12 | 5.0e+12 | 5e+12 | 5e+12 | 5e+12 | 5e+12 |
| trap_2 | 2 | 5e+14 | 5e+14 | 5.0e+14 | 5.0e+14 | 5e+14 | 5e+14 | 5e+14 | 5e+14 |
| trap_3 | 3 | 5e+13 | 5e+12 | 6.5e+13 | 3.6e+14 | 5e+12 | 5e+13 | 5e+13 | 1e+13 |
| trap_4 | 4 | 5e+14 | 5e+13 | 1.5e+13 | 1.5e+13 | 5e+13 | 5e+14 | 5e+14 | 1e+14 |
| trap_5 | 5 | 1e+10 | 5e+13 | 1.0e+10 | 1.0e+10 | 5e+13 | 1e+10 | 1e+10 | 1e+10 |
| trap_6 | 6 | NA | 5e+13 | 6.5e+13 | NA | 5e+13 | NA | NA | NA |
| trap_7 | 7 | NA | 5e+13 | 5.0e+12 | NA | 5e+13 | NA | NA | NA |
| trap_8 | 8 | NA | 1e+10 | NA | NA | 1e+10 | NA | NA | NA |
| centre_1 | 9 | 5e+13 | 5e+14 | 5.0e+13 | 5.0e+13 | 5e+13 | 5e+13 | 5e+13 | 5e+13 |
| centre_2 | 10 | 5e+14 | 5e+13 | 5.0e+14 | 5.0e+14 | 5e+14 | 5e+14 | 5e+14 | 5e+14 |
| centre_3 | 11 | 1e+13 | 1e+13 | 1.0e+13 | 1.0e+13 | 1e+13 | 1e+13 | 1e+13 | 1e+13 |
| centre_4 | 12 | 1e+13 | 1e+13 | 1.0e+13 | 1.0e+13 | 1e+13 | 1e+13 | 1e+13 | 1e+13 |
| A (cm^3 s^-1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| transiation probability to conduction or valence band | |||||||||
| # | Bailey2001 | Bailey2004 | Pagonis2008 | Pagonis2007 | Bailey2002 | Friedrich2017 | Friedrich2018 | Peng2022 | |
| trap_1 | 1 | 1e-08 | 1e-08 | 1e-08 | 1e-08 | 1e-08 | 1e-08 | 1e-08 | 1.00e-08 |
| trap_2 | 2 | 1e-08 | 1e-08 | 1e-08 | 1e-09 | 1e-08 | 1e-08 | 1e-08 | 1.00e-08 |
| trap_3 | 3 | 1e-09 | 1e-09 | 5e-09 | 5e-10 | 1e-09 | 1e-09 | 1e-09 | 1.00e-09 |
| trap_4 | 4 | 5e-10 | 8e-10 | 5e-10 | 5e-10 | 8e-10 | 5e-10 | 5e-10 | 5.00e-10 |
| trap_5 | 5 | 1e-10 | 8e-10 | 1e-10 | 1e-10 | 8e-10 | 1e-10 | 1e-10 | 3.33e-11 |
| trap_6 | 6 | NA | 5e-10 | 1e-11 | NA | 5e-10 | NA | NA | NA |
| trap_7 | 7 | NA | 2e-10 | 6e-12 | NA | 2e-10 | NA | NA | NA |
| trap_8 | 8 | NA | 1e-10 | NA | NA | 1e-10 | NA | NA | NA |
| centre_1 | 9 | 5e-07 | 1e-09 | 5e-07 | 5e-07 | 5e-08 | 5e-07 | 5e-07 | 5.00e-07 |
| centre_2 | 10 | 1e-09 | 5e-08 | 1e-09 | 1e-09 | 1e-09 | 1e-09 | 1e-09 | 1.00e-09 |
| centre_3 | 11 | 1e-10 | 1e-10 | 1e-14 | 1e-10 | 1e-10 | 1e-10 | 1e-10 | 1.00e-10 |
| centre_4 | 12 | 1e-09 | 1e-09 | 1e-10 | 1e-09 | 1e-09 | 1e-09 | 1e-09 | 1.00e-09 |
| B (cm^3 s^-1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| conduction band to hole centre transition probability | |||||||||
| # | Bailey2001 | Bailey2004 | Pagonis2008 | Pagonis2007 | Bailey2002 | Friedrich2017 | Friedrich2018 | Peng2022 | |
| trap_1 | 1 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 |
| trap_2 | 2 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 |
| trap_3 | 3 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 |
| trap_4 | 4 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 |
| trap_5 | 5 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 | 0e+00 |
| trap_6 | 6 | NA | 0e+00 | 0e+00 | NA | 0e+00 | NA | NA | NA |
| trap_7 | 7 | NA | 0e+00 | 0e+00 | NA | 0e+00 | NA | NA | NA |
| trap_8 | 8 | NA | 0e+00 | NA | NA | 0e+00 | NA | NA | NA |
| centre_1 | 9 | 5e-09 | 5e-10 | 5e-09 | 5e-09 | 5e-09 | 5e-09 | 5e-09 | 5e-09 |
| centre_2 | 10 | 5e-10 | 5e-09 | 5e-10 | 5e-10 | 5e-10 | 5e-10 | 5e-10 | 5e-10 |
| centre_3 | 11 | 1e-10 | 1e-10 | 3e-10 | 1e-10 | 1e-10 | 1e-10 | 1e-10 | 1e-10 |
| centre_4 | 12 | 1e-10 | 1e-10 | 1e-10 | 1e-10 | 1e-10 | 1e-10 | 5e-10 | 1e-10 |
| Th (s^-1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| photo-ionisation cross-section | |||||||||
| # | Bailey2001 | Bailey2004 | Pagonis2008 | Pagonis2007 | Bailey2002 | Friedrich2017 | Friedrich2018 | Peng2022 | |
| trap_1 | 1 | 0.75 | 1e-19 | 0.75 | 0.75 | 1e-19 | 0.75 | 0.75 | 0.75 |
| trap_2 | 2 | 0.00 | 0e+00 | 0.00 | 0.00 | 0e+00 | 0.00 | 0.00 | 0.00 |
| trap_3 | 3 | 6.00 | 1e-16 | 6.00 | 6.00 | 1e-16 | 6.00 | 6.00 | 6.00 |
| trap_4 | 4 | 4.50 | 3e-17 | 4.50 | 4.50 | 3e-17 | 4.50 | 4.50 | 4.50 |
| trap_5 | 5 | 0.00 | 4e-18 | 0.00 | 0.00 | 4e-18 | 0.00 | 0.00 | 0.00 |
| trap_6 | 6 | NA | 3e-19 | 0.01 | NA | 3e-19 | NA | NA | NA |
| trap_7 | 7 | NA | 2e-21 | 0.00 | NA | 2e-21 | NA | NA | NA |
| trap_8 | 8 | NA | 0e+00 | NA | NA | 0e+00 | NA | NA | NA |
| E_th (eV) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| thermal assistance energy | |||||||||
| # | Bailey2001 | Bailey2004 | Pagonis2008 | Pagonis2007 | Bailey2002 | Friedrich2017 | Friedrich2018 | Peng2022 | |
| trap_1 | 1 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 |
| trap_2 | 2 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| trap_3 | 3 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 |
| trap_4 | 4 | 0.13 | 0.13 | 0.13 | 0.13 | 0.13 | 0.13 | 0.13 | 0.13 |
| trap_5 | 5 | 0.00 | 0.20 | 0.00 | 0.00 | 0.20 | 0.00 | 0.00 | 0.00 |
| trap_6 | 6 | NA | 0.20 | 0.20 | NA | 0.20 | NA | NA | NA |
| trap_7 | 7 | NA | 0.20 | 0.00 | NA | 0.20 | NA | NA | NA |
| trap_8 | 8 | NA | 0.00 | NA | NA | 0.00 | NA | NA | NA |
| k_B (eV K^-1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| Boltzmann constant | |||||||||
| # | Bailey2001 | Bailey2004 | Pagonis2008 | Pagonis2007 | Bailey2002 | Friedrich2017 | Friedrich2018 | Peng2022 | |
| trap_1 | 1 | 8.617e-05 | 8.617e-05 | 8.617e-05 | 8.617e-05 | 8.617e-05 | 8.617e-05 | 8.617e-05 | 8.617e-05 |
| W (eV) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| activation energy | |||||||||
| # | Bailey2001 | Bailey2004 | Pagonis2008 | Pagonis2007 | Bailey2002 | Friedrich2017 | Friedrich2018 | Peng2022 | |
| trap_1 | 1 | 0.64 | 0.64 | 0.64 | 0.64 | 0.64 | 0.64 | 0.64 | 0.64 |
| K () | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| dimensionlss constant after Wintle (1975) | |||||||||
| # | Bailey2001 | Bailey2004 | Pagonis2008 | Pagonis2007 | Bailey2002 | Friedrich2017 | Friedrich2018 | Peng2022 | |
| trap_1 | 1 | 2.8e+07 | 2.8e+07 | 2.8e+07 | 2.8e+07 | 2.8e+07 | 2.8e+07 | 2.8e+07 | 2.8e+07 |
| n (cm^-3) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| concentration of trapped charges | |||||||||
| # | Bailey2001 | Bailey2004 | Pagonis2008 | Pagonis2007 | Bailey2002 | Friedrich2017 | Friedrich2018 | Peng2022 | |
| trap_1 | 1 | 9.169767e-03 | 5.150601e+02 | 3.401581e-03 | 3.788751e+00 | 1.304051e+01 | 4.282981e-02 | 2.025417e-02 | 9.169767e-03 |
| trap_2 | 2 | 7.619894e+04 | 1.164635e+09 | 5.718477e+04 | 1.931482e+03 | 2.474416e+07 | 2.165932e+06 | 1.048967e+06 | 7.619894e+04 |
| trap_3 | 3 | 1.291564e+08 | 4.270964e+10 | 2.879822e+07 | 7.322346e+08 | 3.791273e+10 | 1.464513e+08 | 2.789634e+07 | 1.291564e+08 |
| trap_4 | 4 | 7.432290e+06 | 1.201018e+10 | 1.235043e+08 | 3.233415e+06 | 9.871927e+09 | 1.898261e+07 | 3.508166e+06 | 7.432290e+06 |
| trap_5 | 5 | 2.690423e+10 | 5.712265e+10 | 2.556071e+10 | 1.902026e+10 | 2.088693e+10 | 1.372718e+10 | 8.606323e+09 | 2.690423e+10 |
| trap_6 | 6 | NA | 2.065021e+11 | 3.881049e+06 | NA | 1.506005e+10 | NA | NA | NA |
| trap_7 | 7 | NA | 3.573812e+12 | 7.550608e+06 | NA | 1.989412e+12 | NA | NA | NA |
| trap_8 | 8 | NA | 1.280000e+13 | NA | NA | 4.962146e+12 | NA | NA | NA |
| centre_1 | 9 | 5.741230e+06 | 1.496238e+11 | 1.734105e+08 | 3.000000e+08 | 2.696001e+09 | 2.215388e+09 | 5.796382e+09 | 5.741230e+06 |
| centre_2 | 10 | 6.779304e+07 | 1.214026e+10 | 3.332680e+09 | 1.000000e+10 | 5.054229e+10 | 4.107361e+07 | 5.274192e+06 | 6.779304e+07 |
| centre_3 | 11 | 1.591234e+08 | 2.194172e+12 | 1.294818e+08 | 5.000000e+09 | 8.974516e+10 | 6.146246e+07 | 1.648926e+07 | 1.591234e+08 |
| centre_4 | 12 | 2.680824e+10 | 1.433739e+13 | 2.208893e+10 | 1.000000e+08 | 6.892331e+12 | 1.157685e+10 | 2.820631e+09 | 2.680824e+10 |
| n_c | 13 | 2.450977e-07 | 2.450977e-07 | 2.450977e-07 | 2.450977e-07 | 2.450977e-07 | 2.450977e-07 | 2.450977e-07 | 2.450977e-07 |
| n_v | 14 | 4.263486e-07 | 4.263486e-07 | 4.263486e-07 | 4.263486e-07 | 4.263486e-07 | 4.263486e-07 | 4.263486e-07 | 4.263486e-07 |