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 <span id="projectnumber">rev-distro-2.1.1-1-gf419e92-dirty</span>
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<a href="fermi-edge-analysis_8ipf.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="preprocessor">#pragma rtGlobals=3 // Use modern global access method and strict wave access.</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#include "pearl-area-profiles"</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> </div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// $Id$</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> </div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> </div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div><div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="fermi-edge-analysis_8ipf.html#a1c4a805435a1d43c2b6dfb6deb633894"> 27</a></span> <span class="keyword">function</span> <a class="code" href="fermi-edge-analysis_8ipf.html#a1c4a805435a1d43c2b6dfb6deb633894">analyse_curved_edge</a>(data)</div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  wave data <span class="comment">// 2D counts data, x-scale = kinetic energy, y-scale = analyser angle</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  variable guess_EF <span class="comment">// initial guess of the Fermi level</span></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  dfref savedf = GetDataFolderDFR()</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  dfref datadf = GetWavesDataFolderDFR(data)</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  setdatafolder datadf</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  make /n=5 /d /o w_coef_int</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  make /n=7 /d /o w_coef_curved</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="comment">// 1) integrate data</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  wave xint = <a class="code" href="pearl-area-profiles_8ipf.html#ab1a65cf82f6933db3dd7b564582e8ed1">ad_profile_x</a>(data, -inf, inf, "", noavg=1)</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  duplicate /free xint, xint_sig</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  xint_sig = sqrt(xint * 4) / 4</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  variable xmin = wavemin(xint)</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  variable xmax = wavemax(xint)</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  variable xmean = mean(xint)</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="comment">// 2) fit integrated data for reference</span></div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  w_coef_int[0] = xmin</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  w_coef_int[1] = 0</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  w_coef_int[2] = xmax - xmin</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  w_coef_int[3] = dimoffset(xint, 0) + dimdelta(xint, 0) * dimsize(xint, 0) / 2</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  w_coef_int[4] = 100</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  FuncFit /NTHR=0 FermiFuncLinDOS w_coef_int xint /D /I=1 /W=xint_sig</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  wave w_sigma</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  duplicate /o w_sigma, w_sigma_int</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="comment">// 3) normalize data</span></div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  wave yavg = <a class="code" href="pearl-area-profiles_8ipf.html#abb1eed32a982037ebab00f5c3ea95e62">ad_profile_y</a>(data, -inf, inf, "")</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  variable ymean = mean(yavg)</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span> </div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  duplicate /o data, data_norm, data_sig</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  data_sig = sqrt(data * 4) / 4</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  data_norm = data_norm * ymean / yavg[q]</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  data_sig = data_sig * ymean / yavg[q]</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="comment">// 4) fit normalized data</span></div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  wave xavg = <a class="code" href="pearl-area-profiles_8ipf.html#ab1a65cf82f6933db3dd7b564582e8ed1">ad_profile_x</a>(data, -inf, inf, "")</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  xmin = wavemin(xavg)</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  xmax = wavemax(xavg)</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  xmean = mean(xavg)</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  </div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  w_coef_curved[0] = {0, 0, 1, 95.5, 100, 0, -0.0001}</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  w_coef_curved[0] = xmin</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  w_coef_curved[2] = xmax - xmin</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  w_coef_curved[3] = w_coef_int[3]</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  w_coef_curved[4] = w_coef_int[4]</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="comment">//variable box = min(11, numpnts(xavg) / 5)</span></div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="comment">//FindLevel /B=(box) /EDGE=2 /Q xavg, (xmin + xmax) / 2</span></div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="comment">//if (v_flag == 0)</span></div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">// w_coef_curved[3] = v_levelx</span></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="comment">//else</span></div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">// w_coef_curved[3] = dimoffset(data, 0) + dimdelta(data, 0) * dimsize(data, 0) / 2</span></div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="comment">//endif</span></div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  duplicate /o data_norm, fit_data_norm</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  FuncFitMD /X=1 /NTHR=0 FermiFuncLinDOS_2Dcorr w_coef_curved data_norm /D=fit_data_norm /I=1 /W=data_sig</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  wave w_sigma</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  duplicate /o w_sigma, w_sigma_curved</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span> </div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  display /k=1; appendimage data_norm</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  ModifyImage data_norm ctab= {xmin,xmax,Grays,0}</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  AppendMatrixContour fit_data_norm</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  </div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  setdatafolder savedf</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">return</span> 0</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span> end</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div><div class="line"><a name="l00098"></a><span class="lineno"><a class="line" href="fermi-edge-analysis_8ipf.html#aac6bac1ee0582caa0676bdc9c2d254f0"> 98</a></span> <span class="keyword">function</span> <a class="code" href="fermi-edge-analysis_8ipf.html#aac6bac1ee0582caa0676bdc9c2d254f0">record_results</a>(index)</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  variable index</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  dfref savedf = GetDataFolderDFR()</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  wave /sdfr=root: Tint, Tint_sig, Tcurv, Tcurv_sig, EFcurv, EFcurv_sig</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  wave w_coef_int, w_coef_curved</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  wave w_sigma_int, w_sigma_curved</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  </div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  Tint[index] = w_coef_int[4]</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  Tint_sig[index] = w_sigma_int[4]</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  Tcurv[index] = w_coef_curved[4]</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  Tcurv_sig[index] = w_sigma_curved[4]</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  EFcurv[index] = w_coef_curved[3]</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  EFcurv_sig[index] = w_sigma_curved[3]</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  setdatafolder savedf</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span> end</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span> </div><div class="line"><a name="l00116"></a><span class="lineno"><a class="line" href="fermi-edge-analysis_8ipf.html#a2a1d7b49c1f88f29ee6d49f6a6f4fbf8"> 116</a></span> function <a class="code" href="fermi-edge-analysis_8ipf.html#a2a1d7b49c1f88f29ee6d49f6a6f4fbf8">integrate_curved_edge</a>(data, data_sig)</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  wave data</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  wave /z data_sig</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="comment">//wave coef</span></div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keywordtype">string</span> name = nameofwave(data)</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  </div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  duplicate /o data, data_out</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  redimension /n=(dimsize(data,0)) data_out</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  data_out = 0</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  </div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  if (waveexists(data_sig))</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  duplicate /o data_sig, sig_out</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  redimension /n=(dimsize(data,0)) sig_out</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  sig_out = 0</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  endif</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span> </div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  wave ywgt = <a class="code" href="pearl-area-profiles_8ipf.html#abb1eed32a982037ebab00f5c3ea95e62">ad_profile_y</a>(data, -inf, inf, "", noavg=1)</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  ywgt = 1 / ywgt / 4</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="comment">//ywgt = 1 / 4</span></div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  variable sum_ywgt = sum(ywgt)</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  </div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  variable nx = dimsize(data, 0)</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  variable ny = dimsize(data, 1)</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  variable iy</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  variable yy</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  variable dx</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  variable dy</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  variable dp</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  variable dp_min = 0</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  </div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  wave PassEnergy = :attr:PassEnergy</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  wave NumSlices = :attr:NumSlices</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  </div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  for (iy = 0; iy < ny; iy += 1)</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  dy = dimoffset(data, 1) + dimdelta(data, 1) * iy</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  dy = dy / dimdelta(data, 1)</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  dx = <a class="code" href="fermi-edge-analysis_8ipf.html#a27f000c3a3ea74c49db31716be3396d4">slit_shift</a>(dy * 902 / NumSlices[0], PassEnergy[0])</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  dp = round(dx / dimdelta(data, 0)) <span class="comment">// <= 0</span></div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  dp_min = min(dp_min, dp)</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  </div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  data_out[] = p+dp >= 0 ? data_out + data[p+dp][iy] * ywgt[iy] : data_out</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span> </div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  if (waveexists(data_sig))</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  sig_out = p+dp >= 0 ? sig_out + data_sig[p+dp][iy] * ywgt[iy] : sig_out</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  endif</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  endfor</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  data_out /= sum_ywgt</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  data_out[0, -dp_min][] = nan</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span> </div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  if (waveexists(sig_out))</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  sig_out /= sum_ywgt</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="comment">//sig_out[0, -dp_min] = nan</span></div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  endif</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span> end</div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span> </div><div class="line"><a name="l00173"></a><span class="lineno"><a class="line" href="fermi-edge-analysis_8ipf.html#a4cec596c8fd2b21953cb45d6d347211d"> 173</a></span> function <a class="code" href="fermi-edge-analysis_8ipf.html#a4cec596c8fd2b21953cb45d6d347211d">slit_correction</a>(data, data_out, epass)</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  wave data <span class="comment">// must be image with original dimensions (no cropping!)</span></div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  wave /z data_out <span class="comment">// 2D or 1D wave to receive the result</span></div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="comment">// X dimension must be identical to the one of data</span></div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="comment">// if 2D, Y dimension must be either identical to the one of data</span></div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="comment">// if 1D, the result will be the sum of the corrected slices</span></div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  variable epass <span class="comment">// pass energy</span></div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  </div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  if (!WaveExists(data_out))</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keywordtype">string</span> name = nameofwave(data) + "_corr"</div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  duplicate /o data, $name</div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  wave data_out = $name</div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="comment">//redimension /n=(dimsize(data,0)) data_out</span></div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  endif</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  data_out = 0</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  </div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  variable nx = dimsize(data, 0)</div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  variable ny = dimsize(data, 1)</div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  variable iy</div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  variable yy</div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  variable dx</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  variable dy</div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  variable dp</div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  variable dp_min = 0</div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  </div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  for (iy = 0; iy < ny; iy += 1)</div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  dy = dimoffset(data, 1) + dimdelta(data, 1) * iy</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  dy = dy / dimdelta(data, 1)</div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  dx = <a class="code" href="fermi-edge-analysis_8ipf.html#a27f000c3a3ea74c49db31716be3396d4">slit_shift</a>(dy * 902 / ny, epass)</div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  dp = round(dx / dimdelta(data, 0)) <span class="comment">// <= 0</span></div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  dp_min = min(dp_min, dp)</div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  </div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  if (wavedims(data_out) >= 2)</div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  data_out[][iy] = p+dp >= 0 ? data_out + data[p+dp][iy] : data_out</div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  else</div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  data_out = p+dp >= 0 ? data_out + data[p+dp][iy] : data_out</div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  endif</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  endfor</div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  </div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  data_out[0, -dp_min][] = nan</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span> end</div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span> </div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="comment">//------------------------------------------------------------------------------</span></div><div class="line"><a name="l00216"></a><span class="lineno"><a class="line" href="fermi-edge-analysis_8ipf.html#a520d8de9fbc4276c19fb417861f05b0d"> 216</a></span> threadsafe Function <a class="code" href="fermi-edge-analysis_8ipf.html#a520d8de9fbc4276c19fb417861f05b0d">FermiFuncLinDOS2D_corr</a>(w,x,y) : FitFunc</div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span> <span class="comment">// linear density of states below Fermi level</span></div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="comment">// 2D data with corrections:</span></div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span> <span class="comment">// - straight slit (slit shift)</span></div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="comment">// - transmission function (polynomial)</span></div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="comment">//------------------------------------------------------------------------------</span></div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  Wave w; Variable x; variable y</div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="comment">// w[0] = background far above the fermi level</span></div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="comment">// w[1] = slope of the linear background</span></div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="comment">// w[2] = amplitude</span></div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="comment">// w[3] = fermi level in eV</span></div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="comment">// w[4] = temperature in K</span></div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="comment">// w[5] = transmission - linear term</span></div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="comment">// w[6] = transmission - quadratic term</span></div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="comment">// w[7] = transmission - cubic term</span></div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="comment">// w[8] = pass energy (hold this value)</span></div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="comment">// w[9] = y scale: pixels / unit of y</span></div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span> </div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  variable pos = w[3] + <a class="code" href="fermi-edge-analysis_8ipf.html#a27f000c3a3ea74c49db31716be3396d4">slit_shift</a>(y * w[9], w[8])</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  variable transm = 1 + w[5] * y + w[6] * y^2 + w[7] * y^3</div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  variable fermi = (w[1] * min(x - pos, 0) + w[2]) / ( exp( (x - pos) / (kBoltzmann * w[4]) ) + 1.0 )</div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  return transm * (fermi + w[0])</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span> end</div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span> </div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span> <span class="comment">//------------------------------------------------------------------------------</span></div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span> threadsafe Function FermiFuncLinDOS_2Dcorr_old(w,x,y) : FitFunc</div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="comment">// linear density of states below Fermi level</span></div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <span class="comment">// 2D data with a polynomial shift of the Fermi level in the second dimension</span></div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span> <span class="comment">//------------------------------------------------------------------------------</span></div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  Wave w; Variable x; variable y</div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="comment">// w[0] = background far above the fermi level</span></div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="comment">// w[1] = slope of the linear background</span></div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="comment">// w[2] = amplitude</span></div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="comment">// w[3] = fermi level in eV</span></div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="comment">// w[4] = temperature in K</span></div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="comment">// w[5] = shift - linear term</span></div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="comment">// w[6] = shift - quadratic term</span></div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span> </div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  variable pos = w[3] + w[5] * y + w[6] * y^2</div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  return w[0] + (w[1] * min(x - pos, 0) + w[2]) / ( exp( (x - pos) / (kBoltzmann * w[4]) ) + 1.0 )</div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span> end</div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span> </div><div class="line"><a name="l00259"></a><span class="lineno"><a class="line" href="fermi-edge-analysis_8ipf.html#a09f26b0a0fd940a3d8c6f92aa769c8bc"> 259</a></span> static constant <a class="code" href="fermi-edge-analysis_8ipf.html#a09f26b0a0fd940a3d8c6f92aa769c8bc">mcp_radius_pix</a> = 555</div><div class="line"><a name="l00261"></a><span class="lineno"><a class="line" href="fermi-edge-analysis_8ipf.html#a4dcc00b93822f1663be2908b10d2ad3e"> 261</a></span> static constant <a class="code" href="fermi-edge-analysis_8ipf.html#a4dcc00b93822f1663be2908b10d2ad3e">mcp_radius_mm</a> = 20</div><div class="line"><a name="l00263"></a><span class="lineno"><a class="line" href="fermi-edge-analysis_8ipf.html#a0cb8da36beae05c79fe5b1da918d3897"> 263</a></span> static constant <a class="code" href="fermi-edge-analysis_8ipf.html#a0cb8da36beae05c79fe5b1da918d3897">hemi_radius_mm</a> = 200</div><div class="line"><a name="l00265"></a><span class="lineno"><a class="line" href="fermi-edge-analysis_8ipf.html#a4749b9bce3e1d0381bd9daeb97c9754c"> 265</a></span> static constant <a class="code" href="fermi-edge-analysis_8ipf.html#a4749b9bce3e1d0381bd9daeb97c9754c">mcp_radius_epass</a> = 0.04</div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span> </div><div class="line"><a name="l00267"></a><span class="lineno"><a class="line" href="fermi-edge-analysis_8ipf.html#a27f000c3a3ea74c49db31716be3396d4"> 267</a></span> threadsafe function <a class="code" href="fermi-edge-analysis_8ipf.html#a27f000c3a3ea74c49db31716be3396d4">slit_shift</a>(ypix, epass)</div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="comment">// calculates the energy shift due to straight slit</span></div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="comment">// the radius of the curve is 1/2 of the hemisphere radius</span></div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  variable ypix <span class="comment">// vertical (angle/position) pixels distance from center</span></div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="comment">// = slice coordinate * 902 / number of slices</span></div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  variable epass <span class="comment">// pass energy</span></div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  </div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  variable rpix = <a class="code" href="fermi-edge-analysis_8ipf.html#a09f26b0a0fd940a3d8c6f92aa769c8bc">mcp_radius_pix</a> * <a class="code" href="fermi-edge-analysis_8ipf.html#a0cb8da36beae05c79fe5b1da918d3897">hemi_radius_mm</a> / <a class="code" href="fermi-edge-analysis_8ipf.html#a4dcc00b93822f1663be2908b10d2ad3e">mcp_radius_mm</a></div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="comment">//variable rpix = mcp_radius_pix * hemi_radius_mm / 2 / mcp_radius_mm</span></div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  variable rene = epass * <a class="code" href="fermi-edge-analysis_8ipf.html#a4749b9bce3e1d0381bd9daeb97c9754c">mcp_radius_epass</a> * <a class="code" href="fermi-edge-analysis_8ipf.html#a0cb8da36beae05c79fe5b1da918d3897">hemi_radius_mm</a> / 2 / <a class="code" href="fermi-edge-analysis_8ipf.html#a4dcc00b93822f1663be2908b10d2ad3e">mcp_radius_mm</a></div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  </div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  variable isin = asin(ypix / rpix)</div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  variable dene = rene * (cos(isin) - 1)</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  </div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  return dene</div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span> end</div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span> </div><div class="line"><a name="l00284"></a><span class="lineno"><a class="line" href="fermi-edge-analysis_8ipf.html#acf72d644b8d37b6c26b1e070edba4e30"> 284</a></span> function <a class="code" href="fermi-edge-analysis_8ipf.html#acf72d644b8d37b6c26b1e070edba4e30">show_shift</a>(data)</div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  wave data</div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  variable epass</div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  </div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  variable ny = dimsize(data, 1)</div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  make /o /n=(ny) shift_x</div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  setscale /i x -ny/2, ny/2, "", shift_x</div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  wave PassEnergy = :attr:PassEnergy</div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  wave NumSlices = :attr:NumSlices</div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  </div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  shift_x = <a class="code" href="fermi-edge-analysis_8ipf.html#a27f000c3a3ea74c49db31716be3396d4">slit_shift</a>(x * 902 / NumSlices[0], PassEnergy[0])</div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  </div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  variable ecenter = dimoffset(data, 0) + dimdelta(data, 0) * dimsize(data, 0) / 2</div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  shift_x += ecenter</div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span> end</div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span> </div><div class="line"><a name="l00306"></a><span class="lineno"><a class="line" href="fermi-edge-analysis_8ipf.html#ad23de34bb698589e2576ce2836b89d55"> 306</a></span> function <a class="code" href="fermi-edge-analysis_8ipf.html#ad23de34bb698589e2576ce2836b89d55">analyser_energy_resolution</a>(epass, slit)</div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  variable epass</div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  variable slit</div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span> </div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  variable respow</div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  if (epass < 4)</div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  respow = 1110</div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  elseif (epass < 8)</div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  respow = 1400</div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  else</div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  respow = 1750</div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  endif</div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  </div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  return epass * max(0.2, slit) / 0.2 / respow </div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span> end</div><div class="ttc" id="fermi-edge-analysis_8ipf_html_a520d8de9fbc4276c19fb417861f05b0d"><div class="ttname"><a href="fermi-edge-analysis_8ipf.html#a520d8de9fbc4276c19fb417861f05b0d">FermiFuncLinDOS2D_corr</a></div><div class="ttdeci">threadsafe variable FermiFuncLinDOS2D_corr(variable w, threadsafe x, wave y)</div><div class="ttdef"><b>Definition:</b> <a href="fermi-edge-analysis_8ipf_source.html#l00216">fermi-edge-analysis.ipf:216</a></div></div>
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<div class="ttc" id="fermi-edge-analysis_8ipf_html_a27f000c3a3ea74c49db31716be3396d4"><div class="ttname"><a href="fermi-edge-analysis_8ipf.html#a27f000c3a3ea74c49db31716be3396d4">slit_shift</a></div><div class="ttdeci">threadsafe variable slit_shift(variable ypix, variable epass)</div><div class="ttdef"><b>Definition:</b> <a href="fermi-edge-analysis_8ipf_source.html#l00267">fermi-edge-analysis.ipf:267</a></div></div>
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<div class="ttc" id="fermi-edge-analysis_8ipf_html_a09f26b0a0fd940a3d8c6f92aa769c8bc"><div class="ttname"><a href="fermi-edge-analysis_8ipf.html#a09f26b0a0fd940a3d8c6f92aa769c8bc">mcp_radius_pix</a></div><div class="ttdeci">static const variable mcp_radius_pix</div><div class="ttdoc">MCP radius seen by the camera in pixels. </div><div class="ttdef"><b>Definition:</b> <a href="fermi-edge-analysis_8ipf_source.html#l00259">fermi-edge-analysis.ipf:259</a></div></div>
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<div class="ttc" id="fermi-edge-analysis_8ipf_html_a4dcc00b93822f1663be2908b10d2ad3e"><div class="ttname"><a href="fermi-edge-analysis_8ipf.html#a4dcc00b93822f1663be2908b10d2ad3e">mcp_radius_mm</a></div><div class="ttdeci">static const variable mcp_radius_mm</div><div class="ttdoc">physical size (radius) of the MCP in mm </div><div class="ttdef"><b>Definition:</b> <a href="fermi-edge-analysis_8ipf_source.html#l00261">fermi-edge-analysis.ipf:261</a></div></div>
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<div class="ttc" id="pearl-area-profiles_8ipf_html_abb1eed32a982037ebab00f5c3ea95e62"><div class="ttname"><a href="pearl-area-profiles_8ipf.html#abb1eed32a982037ebab00f5c3ea95e62">ad_profile_y</a></div><div class="ttdeci">threadsafe wave ad_profile_y(wave dataset, variable p1, variable p2, string destname, variable noavg=defaultValue)</div><div class="ttdoc">1D cut through 2D dataset along Y dimension, new destination wave. </div><div class="ttdef"><b>Definition:</b> <a href="pearl-area-profiles_8ipf_source.html#l00542">pearl-area-profiles.ipf:542</a></div></div>
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<div class="ttc" id="fermi-edge-analysis_8ipf_html_a1c4a805435a1d43c2b6dfb6deb633894"><div class="ttname"><a href="fermi-edge-analysis_8ipf.html#a1c4a805435a1d43c2b6dfb6deb633894">analyse_curved_edge</a></div><div class="ttdeci">variable analyse_curved_edge(wave data)</div><div class="ttdef"><b>Definition:</b> <a href="fermi-edge-analysis_8ipf_source.html#l00027">fermi-edge-analysis.ipf:27</a></div></div>
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<div class="ttc" id="fermi-edge-analysis_8ipf_html_a0cb8da36beae05c79fe5b1da918d3897"><div class="ttname"><a href="fermi-edge-analysis_8ipf.html#a0cb8da36beae05c79fe5b1da918d3897">hemi_radius_mm</a></div><div class="ttdeci">static const variable hemi_radius_mm</div><div class="ttdoc">physical size (radius) of the hemisphere in mm </div><div class="ttdef"><b>Definition:</b> <a href="fermi-edge-analysis_8ipf_source.html#l00263">fermi-edge-analysis.ipf:263</a></div></div>
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<div class="ttc" id="fermi-edge-analysis_8ipf_html_ad23de34bb698589e2576ce2836b89d55"><div class="ttname"><a href="fermi-edge-analysis_8ipf.html#ad23de34bb698589e2576ce2836b89d55">analyser_energy_resolution</a></div><div class="ttdeci">variable analyser_energy_resolution(variable epass, variable slit)</div><div class="ttdoc">calculate the energy resolution of the analyser </div><div class="ttdef"><b>Definition:</b> <a href="fermi-edge-analysis_8ipf_source.html#l00306">fermi-edge-analysis.ipf:306</a></div></div>
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<div class="ttc" id="fermi-edge-analysis_8ipf_html_a4cec596c8fd2b21953cb45d6d347211d"><div class="ttname"><a href="fermi-edge-analysis_8ipf.html#a4cec596c8fd2b21953cb45d6d347211d">slit_correction</a></div><div class="ttdeci">variable slit_correction(wave data, wave data_out, variable epass)</div><div class="ttdef"><b>Definition:</b> <a href="fermi-edge-analysis_8ipf_source.html#l00173">fermi-edge-analysis.ipf:173</a></div></div>
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<div class="ttc" id="fermi-edge-analysis_8ipf_html_a4749b9bce3e1d0381bd9daeb97c9754c"><div class="ttname"><a href="fermi-edge-analysis_8ipf.html#a4749b9bce3e1d0381bd9daeb97c9754c">mcp_radius_epass</a></div><div class="ttdeci">static const variable mcp_radius_epass</div><div class="ttdoc">energy range imaged on MCP relative to the pass energy </div><div class="ttdef"><b>Definition:</b> <a href="fermi-edge-analysis_8ipf_source.html#l00265">fermi-edge-analysis.ipf:265</a></div></div>
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<div class="ttc" id="fermi-edge-analysis_8ipf_html_a2a1d7b49c1f88f29ee6d49f6a6f4fbf8"><div class="ttname"><a href="fermi-edge-analysis_8ipf.html#a2a1d7b49c1f88f29ee6d49f6a6f4fbf8">integrate_curved_edge</a></div><div class="ttdeci">variable integrate_curved_edge(wave data, wave data_sig)</div><div class="ttdef"><b>Definition:</b> <a href="fermi-edge-analysis_8ipf_source.html#l00116">fermi-edge-analysis.ipf:116</a></div></div>
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<div class="ttc" id="fermi-edge-analysis_8ipf_html_acf72d644b8d37b6c26b1e070edba4e30"><div class="ttname"><a href="fermi-edge-analysis_8ipf.html#acf72d644b8d37b6c26b1e070edba4e30">show_shift</a></div><div class="ttdeci">variable show_shift(wave data)</div><div class="ttdef"><b>Definition:</b> <a href="fermi-edge-analysis_8ipf_source.html#l00284">fermi-edge-analysis.ipf:284</a></div></div>
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<div class="ttc" id="pearl-area-profiles_8ipf_html_ab1a65cf82f6933db3dd7b564582e8ed1"><div class="ttname"><a href="pearl-area-profiles_8ipf.html#ab1a65cf82f6933db3dd7b564582e8ed1">ad_profile_x</a></div><div class="ttdeci">threadsafe wave ad_profile_x(wave dataset, variable q1, variable q2, string destname, variable noavg=defaultValue)</div><div class="ttdoc">1D cut through 2D dataset along X dimension, new destination wave. </div><div class="ttdef"><b>Definition:</b> <a href="pearl-area-profiles_8ipf_source.html#l00480">pearl-area-profiles.ipf:480</a></div></div>
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<div class="ttc" id="fermi-edge-analysis_8ipf_html_aac6bac1ee0582caa0676bdc9c2d254f0"><div class="ttname"><a href="fermi-edge-analysis_8ipf.html#aac6bac1ee0582caa0676bdc9c2d254f0">record_results</a></div><div class="ttdeci">variable record_results(variable index)</div><div class="ttdef"><b>Definition:</b> <a href="fermi-edge-analysis_8ipf_source.html#l00098">fermi-edge-analysis.ipf:98</a></div></div>
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