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RLumModel_-_Models_and_parameters.html
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RLumModel_-_Models_and_parameters.html
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<h1 class="title toc-ignore">RLumModel - Models and parameters</h1>
<h4 class="author">Sebastian Kreutzer (Earth Sciences and Geography, Abersytwyth University, UK) & Johannes Friedrich (University of Bayreuth, DE)</h4>
<h4 class="date">2022-01-20</h4>
<div id="TOC">
<ul>
<li><a href="#models-and-parameters"><span class="toc-section-number">1</span> Models and parameters</a>
<ul>
<li><a href="#parameter-n"><span class="toc-section-number">1.1</span> Parameter: N</a></li>
<li><a href="#parameter-e"><span class="toc-section-number">1.2</span> Parameter: E</a></li>
<li><a href="#parameter-s"><span class="toc-section-number">1.3</span> Parameter: s</a></li>
<li><a href="#parameter-a"><span class="toc-section-number">1.4</span> Parameter: A</a></li>
<li><a href="#parameter-b"><span class="toc-section-number">1.5</span> Parameter: B</a></li>
<li><a href="#parameter-th"><span class="toc-section-number">1.6</span> Parameter: Th</a></li>
<li><a href="#parameter-e_th"><span class="toc-section-number">1.7</span> Parameter: E_th</a></li>
<li><a href="#parameter-k_b"><span class="toc-section-number">1.8</span> Parameter: k_B</a></li>
<li><a href="#parameter-w"><span class="toc-section-number">1.9</span> Parameter: W</a></li>
<li><a href="#parameter-k"><span class="toc-section-number">1.10</span> Parameter: K</a></li>
<li><a href="#parameter-n-1"><span class="toc-section-number">1.11</span> Parameter: n</a></li>
</ul></li>
<li><a href="#references">References</a></li>
</ul>
</div>
<div id="models-and-parameters" class="section level1" number="1">
<h1><span class="header-section-number">1</span> Models and parameters</h1>
<p>The table lists the parameters used in the different models implemented in <code>'RLumModel'</code>. The tables are automatically extracted from the output of the function <code>.set_pars()</code> to provide a better human-readable output format.</p>
<p>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.</p>
<p>Although different models are implemented in <code>'RLumModel'</code>, 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, <span class="math inline">\(N\)</span>). 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 <strong>strongly recommend</strong> double-checking the underlying assumption of each model in the original article.</p>
<table>
<colgroup>
<col width="22%" />
<col width="42%" />
<col width="35%" />
</colgroup>
<thead>
<tr class="header">
<th>LEVEL</th>
<th>LABEL</th>
<th>DESCRIPTION</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td>trap_1</td>
<td>110ºC TL</td>
<td>Electron trap associated with the 110ºC TL peak</td>
</tr>
<tr class="even">
<td>trap_2</td>
<td>230ºC TL</td>
<td>Electron trap associated with the 230ºC TL peak</td>
</tr>
<tr class="odd">
<td>trap_3</td>
<td>OSL_fast</td>
<td>Electron trap feeding the OSL fast component</td>
</tr>
<tr class="even">
<td>trap_4</td>
<td>OSL_medium</td>
<td>Electron trap linked to the OSL medium component</td>
</tr>
<tr class="odd">
<td>(trap_5)</td>
<td>OSL_deep/OSL_slow1</td>
<td>Electron trap linked to the first OSL slow component or the deep OSL trap</td>
</tr>
<tr class="even">
<td>(trap_6)</td>
<td>OSL_slow2/TT-OSL</td>
<td>Electron trap linked to the second OSL slow component or the TT-OSL trap</td>
</tr>
<tr class="odd">
<td>(trap_7)</td>
<td>OSL_slow3/BT-OSL</td>
<td>Electron trap linked to the third OSL slow component or the BT-OSL trap</td>
</tr>
<tr class="even">
<td>(trap_8)</td>
<td>OSL_deep</td>
<td>Electron trap linked to the deep OSL trap</td>
</tr>
<tr class="odd">
<td>centre_1</td>
<td>R1 centre</td>
<td>Reservoir centre 1, non-radiative, thermally unstable</td>
</tr>
<tr class="even">
<td>centre_2</td>
<td>R2 centre</td>
<td>Reservoir centre 2, non-radiative, thermally unstable</td>
</tr>
<tr class="odd">
<td>centre_3</td>
<td>K centre</td>
<td>Killer centre, non-radiative recombination centre</td>
</tr>
<tr class="even">
<td>centre_4</td>
<td>L centre</td>
<td>Luminescence centre</td>
</tr>
</tbody>
</table>
<p>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 <code>trap_5</code> is associated with the deep OSL electron trap. However, if the model has traps associated with slow components, as in <span class="citation">Bailey (2001)</span>, the OSL deep trap is associated with the <code>trap_8</code> <span class="citation">(cf. Friedrich, Kreutzer, and Schmidt 2016)</span>.</p>
<p><em>Please note that, unlike in the table above, the parameter tables below are generated automatically from the models implemented in <code>'RLumModel'</code>. Therefore the labelling is kept very general.</em></p>
<div id="parameter-n" class="section level2" number="1.1">
<h2><span class="header-section-number">1.1</span> Parameter: N</h2>
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</style>
<table class="gt_table">
<thead class="gt_header">
<tr>
<th colspan="10" class="gt_heading gt_title gt_font_normal" style>
N (cm^-3)
</th>
</tr>
<tr>
<th colspan="10" class="gt_heading gt_subtitle gt_font_normal gt_bottom_border" style>
concentration of electron traps
</th>
</tr>
</thead>
<thead class="gt_col_headings">
<tr>
<th class="gt_col_heading gt_columns_bottom_border gt_left" rowspan="1" colspan="1">
</th>
<th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" style="font-weight: bold;">
#
</th>
<th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" style="font-weight: bold;">
Bailey2001
</th>
<th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" style="font-weight: bold;">
Bailey2004
</th>
<th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" style="font-weight: bold;">
Pagonis2008
</th>
<th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" style="font-weight: bold;">
Pagonis2007
</th>
<th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" style="font-weight: bold;">
Bailey2002
</th>
<th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" style="font-weight: bold;">
Friedrich2017
</th>
<th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" style="font-weight: bold;">
Friedrich2018
</th>
<th class="gt_col_heading gt_columns_bottom_border gt_right" rowspan="1" colspan="1" style="font-weight: bold;">
Peng2022
</th>
</tr>
</thead>
<tbody class="gt_table_body">
<tr>
<td class="gt_row gt_left gt_stub">
trap_1
</td>
<td class="gt_row gt_right" style="background-color: #FFFFE0; font-weight: bold;">
1
</td>
<td class="gt_row gt_right">
1.5e+07
</td>
<td class="gt_row gt_right">
1.42e+10
</td>
<td class="gt_row gt_right">
1.5e+07
</td>
<td class="gt_row gt_right">
5.1e+09
</td>
<td class="gt_row gt_right">
9.0e+09
</td>
<td class="gt_row gt_right">
1.5e+07
</td>
<td class="gt_row gt_right">
1.5e+07
</td>
<td class="gt_row gt_right">
1.50e+07
</td>
</tr>
<tr>
<td class="gt_row gt_left gt_stub">
trap_2
</td>
<td class="gt_row gt_right" style="background-color: #FFFFE0; font-weight: bold;">
2
</td>
<td class="gt_row gt_right">
1.0e+07
</td>
<td class="gt_row gt_right">
1.50e+09
</td>
<td class="gt_row gt_right">
1.0e+07
</td>
<td class="gt_row gt_right">
1.0e+07
</td>
<td class="gt_row gt_right">
1.0e+09
</td>
<td class="gt_row gt_right">
1.0e+07
</td>
<td class="gt_row gt_right">
1.0e+07
</td>
<td class="gt_row gt_right">
1.00e+07
</td>
</tr>
<tr>
<td class="gt_row gt_left gt_stub">
trap_3
</td>
<td class="gt_row gt_right" style="background-color: #FFFFE0; font-weight: bold;">
3
</td>
<td class="gt_row gt_right">
1.0e+09
</td>
<td class="gt_row gt_right">
2.05e+11
</td>
<td class="gt_row gt_right">
4.0e+07
</td>
<td class="gt_row gt_right">
1.0e+11
</td>
<td class="gt_row gt_right">
1.5e+11
</td>
<td class="gt_row gt_right">
1.0e+09
</td>
<td class="gt_row gt_right">
1.0e+09
</td>
<td class="gt_row gt_right">
1.00e+09
</td>
</tr>
<tr>
<td class="gt_row gt_left gt_stub">
trap_4
</td>
<td class="gt_row gt_right" style="background-color: #FFFFE0; font-weight: bold;">
4
</td>
<td class="gt_row gt_right">
2.5e+08
</td>
<td class="gt_row gt_right">
7.04e+10
</td>
<td class="gt_row gt_right">
2.5e+08
</td>
<td class="gt_row gt_right">
2.5e+08
</td>
<td class="gt_row gt_right">
5.0e+10
</td>
<td class="gt_row gt_right">
2.5e+08
</td>
<td class="gt_row gt_right">
2.5e+08
</td>
<td class="gt_row gt_right">
2.50e+08
</td>
</tr>
<tr>
<td class="gt_row gt_left gt_stub">
trap_5
</td>
<td class="gt_row gt_right" style="background-color: #FFFFE0; font-weight: bold;">
5
</td>
<td class="gt_row gt_right">
5.0e+10
</td>
<td class="gt_row gt_right">
1.77e+11
</td>
<td class="gt_row gt_right">
5.0e+10
</td>
<td class="gt_row gt_right">
5.0e+10
</td>
<td class="gt_row gt_right">
1.0e+11
</td>
<td class="gt_row gt_right">
5.0e+10
</td>
<td class="gt_row gt_right">
5.0e+10
</td>
<td class="gt_row gt_right">
5.00e+10
</td>
</tr>
<tr>
<td class="gt_row gt_left gt_stub">
trap_6
</td>
<td class="gt_row gt_right" style="background-color: #FFFFE0; font-weight: bold;">
6
</td>
<td class="gt_row gt_right">
NA
</td>
<td class="gt_row gt_right">
2.53e+11
</td>
<td class="gt_row gt_right">
5.0e+09
</td>
<td class="gt_row gt_right">
NA
</td>
<td class="gt_row gt_right">
1.5e+11
</td>
<td class="gt_row gt_right">
NA
</td>
<td class="gt_row gt_right">
NA
</td>
<td class="gt_row gt_right">
NA
</td>
</tr>
<tr>
<td class="gt_row gt_left gt_stub">
trap_7
</td>
<td class="gt_row gt_right" style="background-color: #FFFFE0; font-weight: bold;">
7
</td>
<td class="gt_row gt_right">
NA
</td>
<td class="gt_row gt_right">
3.58e+12
</td>
<td class="gt_row gt_right">
4.0e+09
</td>
<td class="gt_row gt_right">
NA
</td>
<td class="gt_row gt_right">
2.0e+12
</td>
<td class="gt_row gt_right">
NA
</td>
<td class="gt_row gt_right">
NA
</td>
<td class="gt_row gt_right">
NA
</td>
</tr>
<tr>
<td class="gt_row gt_left gt_stub">
trap_8
</td>
<td class="gt_row gt_right" style="background-color: #FFFFE0; font-weight: bold;">
8
</td>
<td class="gt_row gt_right">
NA
</td>
<td class="gt_row gt_right">
1.28e+13
</td>
<td class="gt_row gt_right">
NA
</td>
<td class="gt_row gt_right">
NA
</td>
<td class="gt_row gt_right">
5.0e+12