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Revision as of 14:08, 18 December 2012

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SILICON is only useful if SENSOR_THICKNESS is also specified. For the Pilatus detector, the value to be used can usually be obtained from the frame header. For CCD detectors, a typical value of SENSOR_THICKNESS is 0.031, and the SILICON= values in the table are correct for that.
SILICON is only useful if SENSOR_THICKNESS is also specified. For the Pilatus detector, the value to be used can usually be obtained from the frame header. For CCD detectors, a typical value of SENSOR_THICKNESS is 0.031, and the SILICON= values in the table are correct for that.


Thanks to James Holton and Jason Price for coming up (by actually measuring it) with the SENSOR_THICKNESS value of 0.031, and the table of SILICON= values! The latter assumes that 40% of the 0.031 mm is air, and uses http://henke.lbl.gov/optical_constants/atten2.html and the chemical formula Gd2O2S.
Thanks to James Holton and Jason Price for coming up (by actually measuring it) with the SENSOR_THICKNESS value of 0.031, and the table of SILICON= values! The latter assumes that 40% of the 0.031 mm is air, and uses the measured weight of GADOX sheets. Then, specifying a density of 4.2 (which is about 60% of the density of Gd2O2S, 7.32 g/cm^3) on http://henke.lbl.gov/optical_constants/atten2.html one obtains a list of absorption coefficients that can be converted to values close to the SILICON values given in the table below, by using <table_value>=1000/<absorption_coefficient>.
 
The actual values below are obtained from elemental absorption coefficients (e.g. obtained from http://skuld.bmsc.washington.edu/scatter/data/Gd.dat ) and an equation found at the LBL site. Specifically, this:
 
SILICON = 2000*r0*lambda*fpp*N_Avogadro*density/atomic_mass
where:
r0 = 2.817941e-15 meters
lambda = wavelength in meters
N_Avogadro = 6.02214179e+23 molecules/mol
fpp = f-double-prime (electron equivalents)
density = bulk density of material in g/cm^3
atomic_mass is in g/mol
 
Granted, this is only for one element at a time, but if you sum the results for each element (using the appropriate g/cm^3 for each atom type in the material), then you should get the right value for SILICON= of any compound.
 


[[File:GADOX0.031-graph.png]]
[[File:GADOX0.031-graph.png]]


eV      SILICON=
 
4000  257.118 
 
4016.02  254.54 
wave-  ene- mu_
4032.03  251.997
length  rgy  energy
4048.05  249.488
[A]    [eV] absorp SILICON=
4064.06  247.013
<pre>
4080.08  244.572
3.0996 4000 244.537 248.401
4096.1  242.163
3.0919 4010 243.005 246.854
4112.11  239.786
3.0842 4020 241.486 245.321
4128.13  237.44
3.0765 4030 239.979 243.801
4144.14  235.126
3.0689 4040 238.486 242.293
4160.16  232.842
3.0613 4050 237.005 240.799
4176.18  230.588
3.0538 4060 235.536 239.316
4192.19  228.363
3.0463 4070 234.08 237.847
4208.21  226.168
3.0388 4080 232.636 236.389
4224.22  224.001
3.0314 4090 231.204 234.944
4240.24  221.862
3.024 4100 229.784 233.511
4256.26  219.751
3.0166 4110 228.376 232.089
4272.27  217.667
3.0093 4120 226.979 230.68
4288.29  215.61
3.002 4130 225.595 229.282
4304.3  213.579
2.9948 4140 224.221 227.895
4320.32  211.574
2.9876 4150 222.859 226.521
4336.34  209.595
2.9804 4160 221.508 225.157
4352.35  207.64
2.9732 4170 220.169 223.805
4368.37  205.711
2.9661 4180 218.84 222.463
4384.38  203.805
2.9591 4190 217.522 221.133
4400.4  201.924
2.952 4200 216.215 219.813
4416.42  200.066
2.945 4210 214.919 218.505
4432.43  198.231
2.938 4220 213.633 217.206
4448.45  196.419
2.9311 4230 212.358 215.919
4464.46  194.629
2.9242 4240 211.093 214.642
4480.48  192.862
2.9173 4250 209.838 213.375
4496.5  191.116
2.9104 4260 208.593 212.118
4512.51  189.392
2.9036 4270 207.359 210.871
4528.53  187.688
2.8968 4280 206.134 209.635
4544.54  186.006
2.8901 4290 204.919 208.408
4560.56  184.344
2.8834 4300 203.714 207.191
4576.58  182.702
2.8767 4310 202.518 205.984
4592.59  181.08
2.87 4320 201.332 204.786
4608.61  179.477
2.8634 4330 200.156 203.598
4624.62  177.894
2.8568 4340 198.988 202.42
4640.64  176.33
2.8502 4350 197.83 201.25
4656.66  174.784
2.8437 4360 196.681 200.09
4672.67  173.257
2.8372 4370 195.541 198.939
4688.69  171.747
2.8307 4380 194.411 197.797
4704.7  170.256
2.8242 4390 193.289 196.664
4720.72  168.782
2.8178 4400 192.175 195.54
4736.74  167.326
2.8114 4410 191.071 194.425
4752.75  165.886
2.8051 4420 189.975 193.318
4768.77  164.464
2.7987 4430 188.888 192.22
4784.78  163.058
2.7924 4440 187.809 191.131
4800.8  161.668
2.7862 4450 186.738 190.05
4816.82  160.294
2.7799 4460 185.676 188.977
4832.83  158.936
2.7737 4470 184.622 187.912
4848.85  157.594
2.7675 4480 183.576 186.856
4864.86  156.267
2.7613 4490 182.538 185.808
4880.88  154.955
2.7552 4500 181.508 184.768
4896.9  153.659
2.7491 4510 180.486 183.736
4912.91  152.377
2.743 4520 179.472 182.712
4928.93  151.109
2.737 4530 178.465 181.695
4944.94  149.856
2.7309 4540 177.466 180.686
4960.96  148.617
2.7249 4550 176.475 179.685
4976.98  147.392
2.719 4560 175.491 178.692
4992.99  146.18
2.713 4570 174.515 177.706
5009.01  144.982
2.7071 4580 173.546 176.727
5025.03  143.798
2.7012 4590 172.585 175.756
5041.04  142.626
2.6953 4600 171.63 174.792
5057.06  141.468
2.6895 4610 170.683 173.836
5073.07  140.322
2.6836 4620 169.743 172.886
5089.09  139.189
2.6778 4630 168.81 171.944
5105.11  138.068
2.6721 4640 167.884 171.009
5121.12  136.959
2.6663 4650 166.964 170.08
5137.14  135.863
2.6606 4660 166.052 169.159
5153.15  134.779
2.6549 4670 165.146 168.244
5169.17  133.706
2.6492 4680 164.247 167.337
5185.19  132.645
2.6436 4690 163.355 166.435
5201.2  131.595
2.638 4700 162.469 165.541
5217.22  130.557
2.6324 4710 161.59 164.653
5233.23  129.53
2.6268 4720 160.717 163.772
5249.25  128.513
2.6212 4730 159.851 162.897
5265.27  127.508
2.6157 4740 158.991 162.028
5281.28  126.513
2.6102 4750 158.137 161.166
5297.3  125.529
2.6047 4760 157.29 160.31
5313.31  124.555
2.5993 4770 156.449 159.461
5329.33  123.591
2.5938 4780 155.613 158.617
5345.35  122.638
2.5884 4790 154.784 157.78
5361.36  121.694
2.583 4800 153.961 156.948
5377.38  120.761
2.5776 4810 153.144 156.123
5393.39  119.837
2.5723 4820 152.332 155.304
5409.41  118.923
2.567 4830 151.527 154.49
5425.43  118.018
2.5617 4840 150.727 153.682
5441.44  117.122
2.5564 4850 149.933 152.881
5457.46  116.236
2.5511 4860 149.145 152.084
5473.47  115.359
2.5459 4870 148.362 151.294
5489.49  114.491
2.5407 4880 147.585 150.509
5505.51  113.632
2.5355 4890 146.813 149.73
5521.52  112.781
2.5303 4900 146.047 148.956
5537.54  111.939
2.5251 4910 145.287 148.188
5553.55  111.106
2.52 4920 144.531 147.425
5569.57  110.281
2.5149 4930 143.781 146.668
5585.59  109.464
2.5098 4940 143.037 145.916
5601.6  108.656
2.5047 4950 142.297 145.169
5617.62  107.856
2.4997 4960 141.563 144.427
5633.63  107.063
2.4947 4970 140.834 143.691
5649.65  106.279
2.4896 4980 140.11 142.96
5665.67  105.503
2.4847 4990 139.391 142.234
5681.68  104.734
2.4797 5000 138.677 141.513
5697.7  103.972
2.4747 5010 137.968 140.797
5713.71  103.219
2.4698 5020 137.264 140.086
5729.73  102.472
2.4649 5030 136.565 139.38
5745.75  101.733
2.46 5040 135.87 138.678
5761.76 
2.4551 5050 135.181 137.982
2.4503 5060 134.496 137.29
2.4454 5070 133.816 136.603
2.4406 5080 133.14 135.921
2.4358 5090 132.469 135.244
2.4311 5100 131.803 134.571
2.4263 5110 131.142 133.903
2.4216 5120 130.484 133.239
2.4168 5130 129.832 132.58
2.4121 5140 129.183 131.925
2.4075 5150 128.54 131.275
2.4028 5160 127.9 130.629
2.3981 5170 127.265 129.987
2.3935 5180 126.634 129.35
2.3889 5190 126.007 128.717
2.3843 5200 125.385 128.089
2.3797 5210 124.767 127.464
2.3752 5220 124.153 126.844
2.3706 5230 123.542 126.228
2.3661 5240 122.937 125.616
2.3616 5250 122.335 125.008
2.3571 5260 121.737 124.404
2.3526 5270 121.143 123.804
2.3482 5280 120.553 123.208
2.3437 5290 119.967 122.616
2.3393 5300 119.384 122.028
2.3349 5310 118.806 121.444
2.3305 5320 118.231 120.864
2.3262 5330 117.66 120.287
2.3218 5340 117.093 119.714
2.3175 5350 116.53 119.145
2.3131 5360 115.97 118.58
2.3088 5370 115.414 118.018
2.3045 5380 114.862 117.46
2.3003 5390 114.313 116.906
2.296 5400 113.768 116.355
2.2918 5410 113.226 115.808
2.2875 5420 112.688 115.264
2.2833 5430 112
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