Acromag Kelvin bridge

d65a2771-b7bc-4cf1-9cd3-e9dbcdff812d 56 3 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Conformity Pt100 °C user calculator

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This document is stricly for calculating °C from measured Ω [Ohm] and if required, generate the inverse data for linterp. alpha [DIN, ANSI] have nothing to do here.

Acromag Kelvin bridge

β 1037.95565067 0.04991287 1.28363571 - 2.20052627 - 41 mat :

μ 1074.54997858 0.03763417 1.23569962 - 2.20552056 - 41 mat :

λ 4.58237449 0.68973624 - 4.15368638 - 50.94472501 - 41 mat :

Δ f(x,β) ... eit90 Δ 189.34 - 0.02 38.83 - 0.09 - 0.01 0.01 29.76 0.04 156.6 0.02 231.93 0 419.53 0.03 660.32 0.04 - 961.78 0.01 92 mat ≡

Global inverse eit90 ... ± 0.03 °C ... [-190 ... 962] x β f β 1 el x β 3 el - (β 2 el x *^(* 1 x 2 + ln + x β 3 el - (- exp + β 4 el + (* :

... exact eit90 inverse mid range[-189.3442  ... 29.7646]
... interpolates up to ... 100 °C x μ Φ μ 1 el x μ 3 el - (μ 2 el x *^(* 1 x 2 + ln + x μ 3 el - (- exp + μ 4 el + (* :

... exact eit90 inverse in the subCryo  [-259.3467...-189.3442] x λ subCryo λ 1 el x λ 3 el - (λ 2 el x *^(* 1 x ln + x λ 3 el - (- exp + λ 4 el + (* :

declare unit °C 1 :

on-line calculator
enter Ω ... read °C Ω °C Ω λ subCryo 0.0011907 Ω ≤ (Ω 0.21585975 ≤ (& Ω μ Φ 0.09171804 Ω ≤ (Ω 1.11813889 ≤ (& Ω β f cases :

read Ω from lab equipment Ω 1.5 :

Ω °C °C 127.81

Conformity Pt100 °C user calculator

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Δ°C <= °C(Ω)

eit90 259.3467 - 0.0011907 248.5939 - 0.00844974 218.7916 - 0.09171804 189.3442 - 0.21585975 38.8344 - 0.84414211 0.01 1.0000000 29.7646 1.11813889 156.5985 1.60980185 231.928 1.89279768 419.527 2.56891730 660.323 3.37600860 961.78 4.28642053 122 mat :

Deviation °C(Ω) @ eit90  points
Exceptional recovery depending
upon the accuracy of measured Ω Δwr X eit90 2 col : Y eit90 1 col : n eit90 rows : i 1 eit90 rows range u i el X i el °C eval : for Δ Y u - : Y Δ 2 round vectorize augment 61 line :

Δwr 259.3467 - 0 248.5939 - 0 218.7916 - 0 189.3442 - 0 38.8344 - 0 0.01 0 29.7646 0 156.5985 0.02 231.928 0 419.527 0.03 660.323 0.04 - 961.78 0.01 122 mat

Whatever . . . the best Pt100 XTR you can shop for, NONE cover eit90 ... Why ?

Answer: whether they are based on linear interpolation or the best naive model,

NONE of the best recover properly °C from Ω. This Pt100 calculator is compatible

with minimalist CAS, even Excel and scientific calculators, either globally/segments.

T/C "type T " will lower the cryogenic range, T/C "Type J " will extend the upper

range of Pt100. Both types can be Lab-calibrated/personalized to ± 0.01 °C.

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https://www.laurels.com/rtd

Prepare the plot

°C_wr 259.3467 - 0.0011907 0.0009996 0.0001911 248.5939 - 0.0084497 0.0110234 0.0025737 - 218.7916 - 0.091718 0.0982121 0.006494 - 189.3442 - 0.2158598 0.2149336 0.0009261 38.8344 - 0.8441421 0.8424528 0.0016893 0.01 1 0.9999903 0.0000097 29.7646 1.1181389 1.1192165 0.0010776 - 156.5985 1.6098018 1.6136646 0.0038627 - 231.928 1.8927977 1.8970493 0.0042516 - 419.527 2.5689173 2.5709767 0.0020594 - 660.323 3.3760086 3.3732862 0.0027224 961.78 4.2864205 4.2864505 0.00003 - 124 mat :

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

x up 1 0.21585975 x ≤ (x 4.28642053 ≤ (& cases :

x mid 1 0.09171804 x ≤ (x 1.11813889 ≤ (& cases :

X eit90 2 col : Y eit90 1 col : XY X Y augment : data XY o 5 black plot : 41 sys

x cryo 1 0.0011907 x ≤ (x 0.21585975 ≤ (& cases :

°Cwr °C_wr 3 col °C_wr 1 col augment : support °Cwr o 5 black plot : 21 sys

x λ subCryo x cryo * x μ Φ x mid * x β f x up * Ω Ω °C + 40 blue 1 5 mat support 1.5 50 - ----- Measured Ω ----- 12 black 1 5 mat 1 - 512 2 512 2 512 Ω Ω °C 4 2 mat Ω 50 Ω 50 - 2 2 mat 8 1 sys

Pt100 °C user calculator

]]> data x λ subCryo x cryo * 0.21585975 128 - 0.21585975 259.34 - 2 2 mat 3 1 sys

Ω °C °C 127.8

°C ITS_1990 259.3467 - 248.5939 - 218.7916 - 189.3442 - 38.8344 - 0.01 29.7646 156.5985 231.928 419.527 660.323 961.78 121 mat TP Hydrogen TP Neon TP Oxygen TP Argon TP Mercury TP Water MP Gallium FP Indium FP Tin FP Zinc FP Aluminum FP Silver 121 mat 12 mat ≡

Appendix stuff

The model inverse

α 0.5 0.75 1 - 1 - 41 mat :

Model  generatrix ... designed for purpose [jmG]
for the piecewise shape  Pt100 application. x α f α 1 el x α 3 el - (α 2 el x *^(* 1 x 0 + ln + x α 3 el - (- exp + α 4 el + (* :

x α f W_°C [-190 ... 962] Collected 7 decimals

Ω_°C 0.2149336 189.344 - 0.2184679 188.49 - 0.2220022 187.637 - 0.2255365 186.785 - 0.2290708 185.934 - 0.2326051 185.084 - 0.2361394 184.235 - 0.2396737 183.386 - 0.243208 182.539 - 0.2467423 181.692 - 0.2502766 180.846 - 0.2538109 180 - 0.2573452 179.155 - 0.2608795 178.311 - 0.2644138 177.467 - 0.2679481 176.624 - 0.2714824 175.781 - 0.2750167 174.939 - 0.2785511 174.097 - 0.2820854 173.255 - 0.2856197 172.414 - 0.289154 171.573 - 0.2926883 170.733 - 0.2962226 169.893 - 0.2997569 169.053 - 0.3032912 168.213 - 0.3068255 167.374 - 0.3103598 166.535 - 0.3138941 165.696 - 0.3174284 164.857 - 0.3209627 164.018 - 0.324497 163.18 - 0.3280313 162.342 - 0.3315656 161.503 - 0.3350999 160.665 - 0.3386342 159.827 - 0.3421685 158.99 - 0.3457028 158.152 - 0.3492371 157.314 - 0.3527714 156.476 - 0.3563057 155.639 - 0.35984 154.801 - 0.3633743 153.963 - 0.3669086 153.126 - 0.3704429 152.288 - 0.3739772 151.451 - 0.3775115 150.613 - 0.3810458 149.775 - 0.3845801 148.938 - 0.3881144 148.1 - 0.3916487 147.262 - 0.395183 146.424 - 0.3987173 145.586 - 0.4022517 144.748 - 0.405786 143.91 - 0.4093203 143.072 - 0.4128546 142.234 - 0.4163889 141.395 - 0.4199232 140.557 - 0.4234575 139.718 - 0.4269918 138.879 - 0.4305261 138.04 - 0.4340604 137.201 - 0.4375947 136.362 - 0.441129 135.523 - 0.4446633 134.684 - 0.4481976 133.844 - 0.4517319 133.004 - 0.4552662 132.165 - 0.4588005 131.325 - 0.4623348 130.484 - 0.4658691 129.644 - 0.4694034 128.804 - 0.4729377 127.963 - 0.476472 127.122 - 0.4800063 126.281 - 0.4835406 125.44 - 0.4870749 124.599 - 0.4906092 123.757 - 0.4941435 122.915 - 0.4976778 122.073 - 0.5012121 121.231 - 0.5047464 120.389 - 0.5082807 119.547 - 0.511815 118.704 - 0.5153493 117.861 - 0.5188836 117.018 - 0.5224179 116.175 - 0.5259523 115.331 - 0.5294866 114.487 - 0.5330209 113.643 - 0.5365552 112.799 - 0.5400895 111.955 - 0.5436238 111.11 - 0.5471581 110.266 - 0.5506924 109.42 - 0.5542267 108.575 - 0.557761 107.73 - 0.5612953 106.884 - 0.5648296 106.038 - 0.5683639 105.192 - 0.5718982 104.346 - 0.5754325 103.499 - 0.5789668 102.652 - 0.5825011 101.805 - 0.5860354 100.958 - 0.5895697 100.111 - 0.593104 99.263 - 0.5966383 98.415 - 0.6001726 97.567 - 0.6037069 96.719 - 0.6072412 95.87 - 0.6107755 95.021 - 0.6143098 94.172 - 0.6178441 93.323 - 0.6213784 92.473 - 0.6249127 91.623 - 0.628447 90.773 - 0.6319813 89.923 - 0.6355156 89.072 - 0.6390499 88.221 - 0.6425842 87.37 - 0.6461185 86.519 - 0.6496529 85.668 - 0.6531872 84.816 - 0.6567215 83.964 - 0.6602558 83.111 - 0.6637901 82.259 - 0.6673244 81.406 - 0.6708587 80.553 - 0.674393 79.7 - 0.6779273 78.846 - 0.6814616 77.993 - 0.6849959 77.139 - 0.6885302 76.284 - 0.6920645 75.43 - 0.6955988 74.575 - 0.6991331 73.72 - 0.7026674 72.865 - 0.7062017 72.01 - 0.709736 71.154 - 0.7132703 70.298 - 0.7168046 69.442 - 0.7203389 68.585 - 0.7238732 67.728 - 0.7274075 66.871 - 0.7309418 66.014 - 0.7344761 65.156 - 0.7380104 64.299 - 0.7415447 63.441 - 0.745079 62.582 - 0.7486133 61.724 - 0.7521476 60.865 - 0.7556819 60.006 - 0.7592162 59.147 - 0.7627505 58.287 - 0.7662848 57.427 - 0.7698191 56.567 - 0.7733535 55.707 - 0.7768878 54.846 - 0.7804221 53.985 - 0.7839564 53.124 - 0.7874907 52.263 - 0.791025 51.401 - 0.7945593 50.54 - 0.7980936 49.677 - 0.8016279 48.815 - 0.8051622 47.952 - 0.8086965 47.089 - 0.8122308 46.226 - 0.8157651 45.363 - 0.8192994 44.499 - 0.8228337 43.635 - 0.826368 42.771 - 0.8299023 41.906 - 0.8334366 41.042 - 0.8369709 40.177 - 0.8405052 39.311 - 0.8440395 38.446 - 0.8475738 37.58 - 0.8511081 36.714 - 0.8546424 35.848 - 0.8581767 34.981 - 0.861711 34.114 - 0.8652453 33.247 - 0.8687796 32.38 - 0.8723139 31.512 - 0.8758482 30.644 - 0.8793825 29.776 - 0.8829168 28.908 - 0.8864511 28.039 - 0.8899854 27.17 - 0.8935198 26.301 - 0.8970541 25.431 - 0.9005884 24.561 - 0.9041227 23.691 - 0.907657 22.821 - 0.9111913 21.951 - 0.9147256 21.08 - 0.9182599 20.209 - 0.9217942 19.337 - 0.9253285 18.466 - 0.9288628 17.594 - 0.9323971 16.722 - 0.9359314 15.849 - 0.9394657 14.976 - 0.943 14.104 - 0.9465343 13.23 - 0.9500686 12.357 - 0.9536029 11.483 - 0.9571372 10.609 - 0.9606715 9.735 - 0.9642058 8.86 - 0.9677401 7.985 - 0.9712744 7.11 - 0.9748087 6.235 - 0.978343 5.359 - 0.9818773 4.483 - 0.9854116 3.607 - 0.9889459 2.731 - 0.9924802 1.854 - 0.9960145 0.977 - 0.9995488 0.1 - 1.0030831 0.778 1.0066174 1.656 1.0101517 2.534 1.013686 3.412 1.0172204 4.291 1.0207547 5.17 1.024289 6.049 1.0278233 6.928 1.0313576 7.808 1.0348919 8.688 1.0384262 9.568 1.0419605 10.449 1.0454948 11.33 1.0490291 12.211 1.0525634 13.092 1.0560977 13.974 1.059632 14.855 1.0631663 15.738 1.0667006 16.62 1.0702349 17.503 1.0737692 18.386 1.0773035 19.269 1.0808378 20.153 1.0843721 21.036 1.0879064 21.921 1.0914407 22.805 1.094975 23.69 1.0985093 24.574 1.1020436 25.46 1.1055779 26.345 1.1091122 27.231 1.1126465 28.117 1.1161808 29.003 1.1197151 29.89 1.1232494 30.777 1.1267837 31.664 1.130318 32.551 1.1338523 33.439 1.1373866 34.327 1.140921 35.215 1.1444553 36.103 1.1479896 36.992 1.1515239 37.881 1.1550582 38.771 1.1585925 39.66 1.1621268 40.55 1.1656611 41.44 1.1691954 42.331 1.1727297 43.222 1.176264 44.113 1.1797983 45.004 1.1833326 45.895 1.1868669 46.787 1.1904012 47.679 1.1939355 48.572 1.1974698 49.465 1.2010041 50.358 1.2045384 51.251 1.2080727 52.144 1.211607 53.038 1.2151413 53.932 1.2186756 54.827 1.2222099 55.721 1.2257442 56.616 1.2292785 57.511 1.2328128 58.407 1.2363471 59.303 1.2398814 60.199 1.2434157 61.095 1.24695 61.992 1.2504843 62.889 1.2540186 63.786 1.2575529 64.683 1.2610872 65.581 1.2646216 66.479 1.2681559 67.378 1.2716902 68.276 1.2752245 69.175 1.2787588 70.074 1.2822931 70.974 1.2858274 71.874 1.2893617 72.774 1.292896 73.674 1.2964303 74.575 1.2999646 75.476 1.3034989 76.377 1.3070332 77.278 1.3105675 78.18 1.3141018 79.082 1.3176361 79.984 1.3211704 80.887 1.3247047 81.79 1.328239 82.693 1.3317733 83.597 1.3353076 84.5 1.3388419 85.404 1.3423762 86.309 1.3459105 87.213 1.3494448 88.118 1.3529791 89.023 1.3565134 89.929 1.3600477 90.835 1.363582 91.741 1.3671163 92.647 1.3706506 93.554 1.3741849 94.461 1.3777192 95.368 1.3812535 96.276 1.3847878 97.183 1.3883222 98.091 1.3918565 99 1.3953908 99.909 1.3989251 100.818 1.4024594 101.727 1.4059937 102.636 1.409528 103.546 1.4130623 104.456 1.4165966 105.367 1.4201309 106.278 1.4236652 107.189 1.4271995 108.1 1.4307338 109.011 1.4342681 109.923 1.4378024 110.836 1.4413367 111.748 1.444871 112.661 1.4484053 113.574 1.4519396 114.487 1.4554739 115.401 1.4590082 116.315 1.4625425 117.229 1.4660768 118.144 1.4696111 119.058 1.4731454 119.974 1.4766797 120.889 1.480214 121.805 1.4837483 122.721 1.4872826 123.637 1.4908169 124.554 1.4943512 125.47 1.4978855 126.388 1.5014198 127.305 1.5049541 128.223 1.5084884 129.141 1.5120228 130.059 1.5155571 130.978 1.5190914 131.897 1.5226257 132.816 1.52616 133.736 1.5296943 134.656 1.5332286 135.576 1.5367629 136.496 1.5402972 137.417 1.5438315 138.338 1.5473658 139.26 1.5509001 140.181 1.5544344 141.103 1.5579687 142.025 1.561503 142.948 1.5650373 143.871 1.5685716 144.794 1.5721059 145.717 1.5756402 146.641 1.5791745 147.565 1.5827088 148.49 1.5862431 149.414 1.5897774 150.339 1.5933117 151.264 1.596846 152.19 1.6003803 153.116 1.6039146 154.042 1.6074489 154.968 1.6109832 155.895 1.6145175 156.822 1.6180518 157.75 1.6215861 158.677 1.6251204 159.605 1.6286547 160.534 1.632189 161.462 1.6357234 162.391 1.6392577 163.32 1.642792 164.25 1.6463263 165.18 1.6498606 166.11 1.6533949 167.04 1.6569292 167.971 1.6604635 168.902 1.6639978 169.833 1.6675321 170.765 1.6710664 171.697 1.6746007 172.629 1.678135 173.561 1.6816693 174.494 1.6852036 175.427 1.6887379 176.361 1.6922722 177.295 1.6958065 178.229 1.6993408 179.163 1.7028751 180.098 1.7064094 181.033 1.7099437 181.968 1.713478 182.904 1.7170123 183.84 1.7205466 184.776 1.7240809 185.712 1.7276152 186.649 1.7311495 187.586 1.7346838 188.524 1.7382181 189.462 1.7417524 190.4 1.7452867 191.338 1.748821 192.277 1.7523553 193.216 1.7558896 194.155 1.759424 195.095 1.7629583 196.035 1.7664926 196.975 1.7700269 197.916 1.7735612 198.857 1.7770955 199.798 1.7806298 200.739 1.7841641 201.681 1.7876984 202.623 1.7912327 203.566 1.794767 204.508 1.7983013 205.451 1.8018356 206.395 1.8053699 207.339 1.8089042 208.283 1.8124385 209.227 1.8159728 210.171 1.8195071 211.116 1.8230414 212.062 1.8265757 213.007 1.83011 213.953 1.8336443 214.899 1.8371786 215.846 1.8407129 216.793 1.8442472 217.74 1.8477815 218.687 1.8513158 219.635 1.8548501 220.583 1.8583844 221.532 1.8619187 222.48 1.865453 223.429 1.8689873 224.379 1.8725216 225.329 1.8760559 226.279 1.8795902 227.229 1.8831246 228.179 1.8866589 229.13 1.8901932 230.082 1.8937275 231.033 1.8972618 231.985 1.9007961 232.937 1.9043304 233.89 1.9078647 234.843 1.911399 235.796 1.9149333 236.75 1.9184676 237.703 1.9220019 238.658 1.9255362 239.612 1.9290705 240.567 1.9326048 241.522 1.9361391 242.477 1.9396734 243.433 1.9432077 244.389 1.946742 245.346 1.9502763 246.302 1.9538106 247.259 1.9573449 248.217 1.9608792 249.174 1.9644135 250.132 1.9679478 251.091 1.9714821 252.049 1.9750164 253.008 1.9785507 253.968 1.982085 254.927 1.9856193 255.887 1.9891536 256.848 1.9926879 257.808 1.9962222 258.769 1.9997565 259.73 2.0032908 260.692 2.0068252 261.654 2.0103595 262.616 2.0138938 263.579 2.0174281 264.542 2.0209624 265.505 2.0244967 266.468 2.028031 267.432 2.0315653 268.396 2.0350996 269.361 2.0386339 270.326 2.0421682 271.291 2.0457025 272.256 2.0492368 273.222 2.0527711 274.188 2.0563054 275.155 2.0598397 276.122 2.063374 277.089 2.0669083 278.056 2.0704426 279.024 2.0739769 279.992 2.0775112 280.961 2.0810455 281.93 2.0845798 282.899 2.0881141 283.868 2.0916484 284.838 2.0951827 285.808 2.098717 286.778 2.1022513 287.749 2.1057856 288.72 2.1093199 289.692 2.1128542 290.664 2.1163885 291.636 2.1199228 292.608 2.1234571 293.581 2.1269914 294.554 2.1305258 295.527 2.1340601 296.501 2.1375944 297.475 2.1411287 298.45 2.144663 299.425 2.1481973 300.4 2.1517316 301.375 2.1552659 302.351 2.1588002 303.327 2.1623345 304.303 2.1658688 305.28 2.1694031 306.257 2.1729374 307.235 2.1764717 308.213 2.180006 309.191 2.1835403 310.169 2.1870746 311.148 2.1906089 312.127 2.1941432 313.107 2.1976775 314.086 2.2012118 315.067 2.2047461 316.047 2.2082804 317.028 2.2118147 318.009 2.215349 318.991 2.2188833 319.973 2.2224176 320.955 2.2259519 321.937 2.2294862 322.92 2.2330205 323.903 2.2365548 324.887 2.2400891 325.871 2.2436234 326.855 2.2471577 327.84 2.250692 328.824 2.2542264 329.81 2.2577607 330.795 2.261295 331.781 2.2648293 332.768 2.2683636 333.754 2.2718979 334.741 2.2754322 335.728 2.2789665 336.716 2.2825008 337.704 2.2860351 338.692 2.2895694 339.681 2.2931037 340.67 2.296638 341.659 2.3001723 342.649 2.3037066 343.639 2.3072409 344.63 2.3107752 345.62 2.3143095 346.612 2.3178438 347.603 2.3213781 348.595 2.3249124 349.587 2.3284467 350.579 2.331981 351.572 2.3355153 352.565 2.3390496 353.559 2.3425839 354.553 2.3461182 355.547 2.3496525 356.542 2.3531868 357.536 2.3567211 358.532 2.3602554 359.527 2.3637897 360.523 2.367324 361.52 2.3708583 362.516 2.3743927 363.513 2.377927 364.511 2.3814613 365.508 2.3849956 366.506 2.3885299 367.505 2.3920642 368.504 2.3955985 369.503 2.3991328 370.502 2.4026671 371.502 2.4062014 372.502 2.4097357 373.503 2.41327 374.504 2.4168043 375.505 2.4203386 376.506 2.4238729 377.508 2.4274072 378.511 2.4309415 379.513 2.4344758 380.516 2.4380101 381.52 2.4415444 382.523 2.4450787 383.527 2.448613 384.532 2.4521473 385.537 2.4556816 386.542 2.4592159 387.547 2.4627502 388.553 2.4662845 389.559 2.4698188 390.566 2.4733531 391.573 2.4768874 392.58 2.4804217 393.587 2.483956 394.595 2.4874903 395.604 2.4910246 396.612 2.4945589 397.622 2.4980933 398.631 2.5016276 399.641 2.5051619 400.651 2.5086962 401.661 2.5122305 402.672 2.5157648 403.683 2.5192991 404.695 2.5228334 405.707 2.5263677 406.719 2.529902 407.732 2.5334363 408.745 2.5369706 409.758 2.5405049 410.772 2.5440392 411.786 2.5475735 412.8 2.5511078 413.815 2.5546421 414.83 2.5581764 415.846 2.5617107 416.862 2.565245 417.878 2.5687793 418.895 2.5723136 419.912 2.5758479 420.929 2.5793822 421.947 2.5829165 422.965 2.5864508 423.983 2.5899851 425.002 2.5935194 426.021 2.5970537 427.041 2.600588 428.061 2.6041223 429.081 2.6076566 430.102 2.6111909 431.123 2.6147252 432.144 2.6182595 433.166 2.6217939 434.188 2.6253282 435.211 2.6288625 436.233 2.6323968 437.257 2.6359311 438.28 2.6394654 439.304 2.6429997 440.328 2.646534 441.353 2.6500683 442.378 2.6536026 443.404 2.6571369 444.429 2.6606712 445.456 2.6642055 446.482 2.6677398 447.509 2.6712741 448.536 2.6748084 449.564 2.6783427 450.592 2.681877 451.621 2.6854113 452.649 2.6889456 453.678 2.6924799 454.708 2.6960142 455.738 2.6995485 456.768 2.7030828 457.799 2.7066171 458.83 2.7101514 459.861 2.7136857 460.893 2.71722 461.925 2.7207543 462.958 2.7242886 463.991 2.7278229 465.024 2.7313572 466.057 2.7348915 467.091 2.7384258 468.126 2.7419601 469.161 2.7454945 470.196 2.7490288 471.231 2.7525631 472.267 2.7560974 473.303 2.7596317 474.34 2.763166 475.377 2.7667003 476.415 2.7702346 477.452 2.7737689 478.491 2.7773032 479.529 2.7808375 480.568 2.7843718 481.607 2.7879061 482.647 2.7914404 483.687 2.7949747 484.728 2.798509 485.768 2.8020433 486.81 2.8055776 487.851 2.8091119 488.893 2.8126462 489.936 2.8161805 490.978 2.8197148 492.021 2.8232491 493.065 2.8267834 494.109 2.8303177 495.153 2.833852 496.198 2.8373863 497.243 2.8409206 498.288 2.8444549 499.334 2.8479892 500.38 2.8515235 501.427 2.8550578 502.474 2.8585921 503.521 2.8621264 504.569 2.8656607 505.617 2.8691951 506.666 2.8727294 507.715 2.8762637 508.764 2.879798 509.814 2.8833323 510.864 2.8868666 511.914 2.8904009 512.965 2.8939352 514.016 2.8974695 515.068 2.9010038 516.12 2.9045381 517.172 2.9080724 518.225 2.9116067 519.278 2.915141 520.332 2.9186753 521.386 2.9222096 522.44 2.9257439 523.495 2.9292782 524.55 2.9328125 525.606 2.9363468 526.661 2.9398811 527.718 2.9434154 528.774 2.9469497 529.832 2.950484 530.889 2.9540183 531.947 2.9575526 533.005 2.9610869 534.064 2.9646212 535.123 2.9681555 536.182 2.9716898 537.242 2.9752241 538.303 2.9787584 539.363 2.9822927 540.424 2.985827 541.486 2.9893613 542.548 2.9928957 543.61 2.99643 544.672 2.9999643 545.736 3.0034986 546.799 3.0070329 547.863 3.0105672 548.927 3.0141015 549.992 3.0176358 551.057 3.0211701 552.122 3.0247044 553.188 3.0282387 554.254 3.031773 555.321 3.0353073 556.388 3.0388416 557.455 3.0423759 558.523 3.0459102 559.591 3.0494445 560.66 3.0529788 561.729 3.0565131 562.798 3.0600474 563.868 3.0635817 564.938 3.067116 566.009 3.0706503 567.08 3.0741846 568.152 3.0777189 569.224 3.0812532 570.296 3.0847875 571.368 3.0883218 572.442 3.0918561 573.515 3.0953904 574.589 3.0989247 575.663 3.102459 576.738 3.1059933 577.813 3.1095276 578.888 3.1130619 579.964 3.1165963 581.041 3.1201306 582.117 3.1236649 583.195 3.1271992 584.272 3.1307335 585.35 3.1342678 586.428 3.1378021 587.507 3.1413364 588.586 3.1448707 589.666 3.148405 590.746 3.1519393 591.826 3.1554736 592.907 3.1590079 593.989 3.1625422 595.07 3.1660765 596.152 3.1696108 597.235 3.1731451 598.318 3.1766794 599.401 3.1802137 600.485 3.183748 601.569 3.1872823 602.653 3.1908166 603.738 3.1943509 604.824 3.1978852 605.909 3.2014195 606.996 3.2049538 608.082 3.2084881 609.169 3.2120224 610.257 3.2155567 611.345 3.219091 612.433 3.2226253 613.522 3.2261596 614.611 3.2296939 615.7 3.2332282 616.79 3.2367625 617.881 3.2402969 618.971 3.2438312 620.063 3.2473655 621.154 3.2508998 622.246 3.2544341 623.339 3.2579684 624.432 3.2615027 625.525 3.265037 626.619 3.2685713 627.713 3.2721056 628.807 3.2756399 629.902 3.2791742 630.998 3.2827085 632.094 3.2862428 633.19 3.2897771 634.286 3.2933114 635.384 3.2968457 636.481 3.30038 637.579 3.3039143 638.677 3.3074486 639.776 3.3109829 640.875 3.3145172 641.975 3.3180515 643.075 3.3215858 644.176 3.3251201 645.277 3.3286544 646.378 3.3321887 647.48 3.335723 648.582 3.3392573 649.685 3.3427916 650.788 3.3463259 651.891 3.3498602 652.995 3.3533945 654.099 3.3569288 655.204 3.3604631 656.309 3.3639975 657.415 3.3675318 658.521 3.3710661 659.628 3.3746004 660.735 3.3781347 661.842 3.381669 662.95 3.3852033 664.058 3.3887376 665.167 3.3922719 666.276 3.3958062 667.385 3.3993405 668.495 3.4028748 669.606 3.4064091 670.717 3.4099434 671.828 3.4134777 672.939 3.417012 674.052 3.4205463 675.164 3.4240806 676.277 3.4276149 677.391 3.4311492 678.505 3.4346835 679.619 3.4382178 680.734 3.4417521 681.849 3.4452864 682.964 3.4488207 684.08 3.452355 685.197 3.4558893 686.314 3.4594236 687.431 3.4629579 688.549 3.4664922 689.667 3.4700265 690.786 3.4735608 691.905 3.4770951 693.025 3.4806294 694.145 3.4841637 695.265 3.4876981 696.386 3.4912324 697.508 3.4947667 698.629 3.498301 699.752 3.5018353 700.874 3.5053696 701.997 3.5089039 703.121 3.5124382 704.245 3.5159725 705.369 3.5195068 706.494 3.5230411 707.62 3.5265754 708.746 3.5301097 709.872 3.533644 710.998 3.5371783 712.126 3.5407126 713.253 3.5442469 714.381 3.5477812 715.51 3.5513155 716.639 3.5548498 717.768 3.5583841 718.898 3.5619184 720.028 3.5654527 721.159 3.568987 722.29 3.5725213 723.422 3.5760556 724.554 3.5795899 725.686 3.5831242 726.819 3.5866585 727.953 3.5901928 729.087 3.5937271 730.221 3.5972614 731.356 3.6007957 732.491 3.60433 733.627 3.6078644 734.763 3.6113987 735.899 3.614933 737.036 3.6184673 738.174 3.6220016 739.312 3.6255359 740.45 3.6290702 741.589 3.6326045 742.729 3.6361388 743.868 3.6396731 745.009 3.6432074 746.149 3.6467417 747.29 3.650276 748.432 3.6538103 749.574 3.6573446 750.717 3.6608789 751.86 3.6644132 753.003 3.6679475 754.147 3.6714818 755.292 3.6750161 756.436 3.6785504 757.582 3.6820847 758.727 3.685619 759.874 3.6891533 761.02 3.6926876 762.168 3.6962219 763.315 3.6997562 764.463 3.7032905 765.612 3.7068248 766.761 3.7103591 767.91 3.7138934 769.06 3.7174277 770.211 3.720962 771.362 3.7244963 772.513 3.7280306 773.665 3.731565 774.817 3.7350993 775.97 3.7386336 777.123 3.7421679 778.277 3.7457022 779.431 3.7492365 780.585 3.7527708 781.74 3.7563051 782.896 3.7598394 784.052 3.7633737 785.209 3.766908 786.366 3.7704423 787.523 3.7739766 788.681 3.7775109 789.839 3.7810452 790.998 3.7845795 792.157 3.7881138 793.317 3.7916481 794.478 3.7951824 795.638 3.7987167 796.8 3.802251 797.961 3.8057853 799.123 3.8093196 800.286 3.8128539 801.449 3.8163882 802.613 3.8199225 803.777 3.8234568 804.941 3.8269911 806.106 3.8305254 807.272 3.8340597 808.438 3.837594 809.604 3.8411283 810.771 3.8446626 811.939 3.8481969 813.107 3.8517312 814.275 3.8552656 815.444 3.8587999 816.613 3.8623342 817.783 3.8658685 818.953 3.8694028 820.124 3.8729371 821.296 3.8764714 822.467 3.8800057 823.64 3.88354 824.812 3.8870743 825.986 3.8906086 827.159 3.8941429 828.333 3.8976772 829.508 3.9012115 830.683 3.9047458 831.859 3.9082801 833.035 3.9118144 834.212 3.9153487 835.389 3.918883 836.566 3.9224173 837.744 3.9259516 838.923 3.9294859 840.102 3.9330202 841.282 3.9365545 842.462 3.9400888 843.642 3.9436231 844.823 3.9471574 846.005 3.9506917 847.187 3.954226 848.369 3.9577603 849.552 3.9612946 850.736 3.9648289 851.92 3.9683632 853.104 3.9718975 854.289 3.9754318 855.474 3.9789662 856.66 3.9825005 857.847 3.9860348 859.034 3.9895691 860.221 3.9931034 861.409 3.9966377 862.598 4.000172 863.786 4.0037063 864.976 4.0072406 866.166 4.0107749 867.356 4.0143092 868.547 4.0178435 869.739 4.0213778 870.93 4.0249121 872.123 4.0284464 873.316 4.0319807 874.509 4.035515 875.703 4.0390493 876.898 4.0425836 878.092 4.0461179 879.288 4.0496522 880.484 4.0531865 881.68 4.0567208 882.877 4.0602551 884.075 4.0637894 885.273 4.0673237 886.471 4.070858 887.67 4.0743923 888.869 4.0779266 890.069 4.0814609 891.27 4.0849952 892.471 4.0885295 893.672 4.0920638 894.874 4.0955981 896.077 4.0991324 897.28 4.1026668 898.483 4.1062011 899.687 4.1097354 900.892 4.1132697 902.097 4.116804 903.303 4.1203383 904.509 4.1238726 905.715 4.1274069 906.922 4.1309412 908.13 4.1344755 909.338 4.1380098 910.547 4.1415441 911.756 4.1450784 912.966 4.1486127 914.176 4.152147 915.387 4.1556813 916.598 4.1592156 917.81 4.1627499 919.022 4.1662842 920.235 4.1698185 921.448 4.1733528 922.662 4.1768871 923.876 4.1804214 925.091 4.1839557 926.306 4.18749 927.522 4.1910243 928.739 4.1945586 929.955 4.1980929 931.173 4.2016272 932.391 4.2051615 933.609 4.2086958 934.828 4.2122301 936.048 4.2157644 937.268 4.2192987 938.489 4.222833 939.71 4.2263674 940.931 4.2299017 942.154 4.233436 943.376 4.2369703 944.599 4.2405046 945.823 4.2440389 947.047 4.2475732 948.272 4.2511075 949.498 4.2546418 950.723 4.2581761 951.95 4.2617104 953.177 4.2652447 954.404 4.268779 955.632 4.2723133 956.861 4.2758476 958.09 4.2793819 959.319 4.2829162 960.549 4.2864505 961.78 11532 mat :

For practical purpose . . . interpolation in the range [30 ... 962]

expected enough decimals Ω

]]>

... [-190... 962]± 0.01°C Ω Ω_°C 1 col : °C Ω_°C 2 col : x °C Ω °C x linterp : 31 sys

plug measured Ω

Declare unit °C 1 :

2.5709767

2.571 °C °C 419.53

NOTE: cooling the telescope mirror Hawai toke 2 years [Robertshaw System]... No more details about the Instrumentation.

Discrete incremental inverser SubCryo as reference Disabled

°C_wr 259.3467 - 0.0011907 0.0009996 0.0001911 248.5939 - 0.0084497 0.0110234 0.0025737 - 218.7916 - 0.091718 0.0982121 0.006494 - 189.3442 - 0.2158598 0.2149336 0.0009261 38.8344 - 0.8441421 0.8424528 0.0016893 0.01 1 0.9999903 0.0000097 29.7646 1.1181389 1.1192165 0.0010776 - 156.5985 1.6098018 1.6136646 0.0038627 - 231.928 1.8927977 1.8970493 0.0042516 - 419.527 2.5689173 2.5709767 0.0020594 - 660.323 3.3760086 3.3732862 0.0027224 961.78 4.2864205 4.2864505 0.00003 - 124 mat :

ignore its90

β 0.0009996 12.4435128 228.3303460 1.7276022 41 mat :

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

Pt100 XFR x f β 1 el β 2 el 1 β 4 el β 3 el β 4 el - (/ x 259.3467 + (- β 4 el β 2 el * / exp * + β 3 el β 3 el β 4 el - (/ x 259.3467 + (- β 3 el β 2 el * / exp * - (* + :

L Δ N inc X 0 : i 1 N range X i 1 + el L Δ i * + : X 1 el L : 21 line for X 31 line :

N 2000 :

be generous in the arc region

Balistic 'N' increment to start/end at support ω 0.0009996 0.0982121 0.0009996 - N / N inc :

Design a discrete function inverser  in user [L,H,N] f ω Inverse j 2 ω rows range sol j el x f ω j el - 0 ≡ x roots : sol 1 el 259.3467 - : 21 line for ω sol 2 round vectorize augment 21 line :

Sol f ω Inverse :

XY °C_wr 3 col °C_wr 1 col augment :

data XY o 5 black plot :

Sol 1001 row 0.04960585 233.04 - 12 mat

data Sol 2 1 sys

Sol 0.0009996 259.35 - 0.00104821 258.65 - 0.00109681 258.36 - 0.00114542 258.14 - 0.00119402 257.95 - 0.00124263 257.78 - 0.00129124 257.63 - 0.00133984 257.49 - 0.00138845 257.36 - 0.00143706 257.24 - 0.00148566 257.12 - 0.00153427 257.01 - 0.00158288 256.91 - 0.00163148 256.81 - 0.00168009 256.71 - 0.00172869 256.61 - 0.0017773 256.52 - 172 mat

Discrete incremental inverser ... [-189 ... 962] Disabled

°C_wr 259.3467 - 0.0011907 0.0009996 0.0001911 248.5939 - 0.0084497 0.0110234 0.0025737 - 218.7916 - 0.091718 0.0982121 0.006494 - 189.3442 - 0.2158598 0.2149336 0.0009261 38.8344 - 0.8441421 0.8424528 0.0016893 0.01 1 0.9999903 0.0000097 29.7646 1.1181389 1.1192165 0.0010776 - 156.5985 1.6098018 1.6136646 0.0038627 - 231.928 1.8927977 1.8970493 0.0042516 - 419.527 2.5689173 2.5709767 0.0020594 - 660.323 3.3760086 3.3732862 0.0027224 961.78 4.2864205 4.2864505 0.00003 - 124 mat :

ignore its90

β 0.0009996 12.4435128 228.3303460 1.7276022 41 mat :

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

Pt100 XFR x f β 1 el β 2 el 1 β 4 el β 3 el β 4 el - (/ x 259.3467 + (- β 4 el β 2 el * / exp * + β 3 el β 3 el β 4 el - (/ x 259.3467 + (- β 3 el β 2 el * / exp * - (* + :

L Δ N inc X 0 : i 1 N range X i 1 + el L Δ i * + : X 1 el L : 21 line for X 31 line :

N 1152 :

be generous in the arc region

Balistic 'N' increment to start/end at support ω 0.2158598 4.2864205 0.2158598 - N / N inc :

Design a discrete function inverser  in user [L,H,N] f ω Inverse j 2 ω rows range sol j el x f ω j el - 0 ≡ x roots : sol 1 el 189.3442 - : 21 line for ω sol 2 round vectorize augment 21 line :

Sol f ω Inverse :

XY °C_wr 3 col °C_wr 1 col augment :

data XY o 5 black plot :

Sol 1001 row 3.74933263 780.62 12 mat

data Sol 2 1 sys

Sol 0.2158598 189.34 - 0.21939327 188.27 - 0.22292675 187.41 - 0.22646022 186.56 - 0.22999369 185.71 - 0.23352716 184.86 - 0.23706064 184.01 - 0.24059411 183.17 - 0.24412758 182.32 - 0.24766106 181.47 - 0.25119453 180.63 - 0.254728 179.78 - 0.25826147 178.94 - 0.26179495 178.09 - 0.26532842 177.25 - 0.26886189 176.41 - 0.27239537 175.56 - 172 mat