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Kelvinox Test Result from Oxford Instruments

RuOx thermometer H35 Calibration

R=2882Ohm at 4.2K

a = {-0.99436994914, 1.18186319148, 0.01906207066, -0.02320427440, 
  0.00190397877}
T[R_] := Exp[-Sum[a[[i + 1]] (Log[(R - 2200)/1000])^i, {i, 0, 4}]]

Still sensor recalibration

The still thermometer was recalibrated during Run 52. The U02844 thermometer (typically used as a tower thermometer) was mounted on the still plate near the still thermometer and used as a basis for a new still thermometer calibration. T versus R data was taken during cooling, and when the fridge was at base I took more data points over the standard operating range by heating the still (for the higher temperatures) and switching to one-shot mode (for low temperatures).

Figure 1 : Still thermometer recalibration, operating range full range

As can be seen in Figure 1 on the left, the older calibration (based on simply shifting the calibration of a similar thermometer, see below) is around 0.15 K too high in the range of interest, which is enough to be misleading since it makes it seem as if the still is operating at 1K Pot temperatures. (If that were the case, there would be 4He in the circulating lines and the pressures at G1 and G2 would get much higher than normal.)

The new calibration curve is

T_still = 1.655 * (R_still/1850 - 1) ^ -1.367

with T_still in Kelvin and R_still in Ohms. This is accurate to around 0.01 K and valid from 0.7 K to 2.0 K. (Likely it is still reasonably accurate at somewhat low temperatures.)

The function above covers the range of interest, but as can be seen in the right half of Figure 1 it is not valid at temperatures above around 3 K. For completeness I define a second curve for higher temperatures, up to 300 K. Below is a piecewise-defined curve covering the full range:

R_still >= 3241.5 : T_still = 1.655 * (R_still/1850 - 1) ^ -1.367 // 0.7K - 2.5K
R_still < 3241.5 : T_still = 0.9626 * (R_still/2242 - 1) ^ -1.147 // 2.5K - 300K

The higher temperature curve is accurate to within about 5% over its full range.

The data points for the recalibration are shown below. The first two temperatures are inferred from the environmental conditions; the rest are cross-calibrated from the U02844 thermometer.

Still thermometer calibration
Resistance (Ohm) Temperature (K)
2257 300
2292.8 77.2
2346.9 29.8
2559.14 9.06
2666.9 7.53
2682.9 6.54
2698 5.9
2861 4.43
3340 2.08
3549 1.86
3833 1.5
4287 1.134
4408.5 1.069
4500 1.02
4561 0.988
4622 0.949
4724 0.901
4940 0.809
5384 0.688

Still, Coldplate, and MC sensor calibration

These three thermometers are not calibrated. Since they all are RuOx thermometers, I just scale them to the calibration curve of H35 based on their 4.2K values. Which means make the replacements

Still:     R->R*2882/3049 <==== OBSOLETE, see recalibration above.  
Coldplate: R->R*2882/3083
MC sensor: R->R*2882/3155

in the H35 calibration formula.

Interpolation table based on the above formula

Thermometer interpolation table of K100
T(K) H35 (Ohm) MC RuO2 (Ohm) CP (Ohm) Still (Ohm) (obsolete)
0.02 224945 246253 240633 237979
0.03 113073 123784 120959 119625
0.04 72949 79859 78037 77176
0.05 53480 58546 57210 56579
0.06 42246 46248 45192 44694
0.07 35014 38330 37455 37042
0.08 29997 32838 32089 31735
0.09 26324 28818 28160 27850
0.10 23525 25753 25166 24888
0.11 21323 23343 22810 22558
0.12 19546 21398 20909 20679
0.13 18083 19796 19344 19131
0.14 16858 18454 18033 17834
0.15 15816 17314 16919 16733
0.16 14920 16333 15961 15785
0.17 14141 15481 15127 14960
0.18 13457 14732 14396 14237
0.19 12852 14070 13749 13597
0.20 12313 13479 13172 13027
0.21 11829 12950 12654 12515
0.22 11393 12472 12188 12053
0.23 10998 12039 11765 11635
0.24 10637 11645 11379 11253
0.25 10307 11283 11026 10904
0.26 10004 10952 10702 10584
0.27 9725 10646 10403 10288
0.28 9466 10363 10126 10015
0.29 9226 10100 9870 9761
0.30 9003 9856 9631 9525
0.35 8085 8851 8649 8553
0.40 7401 8102 7918 7830
0.45 6872 7522 7351 7270
0.50 6448 7059 6898 6822
0.55 6101 6679 6527 6455
0.60 5812 6362 6217 6148
0.65 5566 6093 5954 5888
0.70 5354 5862 5728 5665
0.75 5170 5660 5531 5470
0.80 5009 5483 5358 5299
0.85 4865 5326 5205 5147
0.90 4737 5186 5068 5012
0.95 4622 5060 4945 4890
1.00 4518 4946 4833 4780
1.05 4424 4843 4732 4680
1.10 4337 4748 4640 4588
1.15 4258 4661 4555 4505
1.20 4185 4581 4477 4427
1.25 4117 4507 4404 4356
1.30 4054 4439 4337 4289
1.35 3996 4375 4275 4228
1.40 3942 4315 4217 4170
1.45 3891 4259 4162 4116
1.50 3843 4207 4111 4066
1.55 3798 4158 4063 4018
1.60 3756 4112 4018 3974
1.65 3716 4068 3975 3932
1.70 3679 4027 3935 3892
1.75 3643 3988 3897 3854
1.80 3609 3951 3861 3818
1.85 3577 3916 3826 3784
1.90 3546 3882 3794 3752
1.95 3517 3850 3762 3721
2.00 3489 3820 3733 3692
2.05 3463 3791 3704 3663
2.10 3437 3763 3677 3637
2.15 3413 3736 3651 3611
2.20 3390 3711 3626 3586
2.25 3368 3687 3602 3563
2.30 3346 3663 3579 3540
2.35 3325 3641 3557 3518
2.40 3306 3619 3536 3497
2.45 3287 3598 3516 3477
2.50 3268 3578 3496 3458
2.55 3251 3558 3477 3439
2.60 3233 3540 3459 3421
2.65 3217 3522 3441 3403
2.70 3201 3504 3424 3386
2.75 3186 3487 3408 3370
2.80 3171 3471 3392 3354
2.85 3156 3455 3376 3339
2.90 3142 3440 3361 3324
2.95 3129 3425 3347 3310
3.00 3115 3411 3333 3296
3.05 3103 3397 3319 3282
3.10 3090 3383 3306 3269
3.15 3078 3370 3293 3257
3.20 3067 3357 3280 3244
3.25 3055 3345 3268 3232
3.30 3044 3333 3256 3221
3.35 3033 3321 3245 3209
3.40 3023 3309 3234 3198
3.45 3013 3298 3223 3187
3.50 3003 3287 3212 3177
3.55 2993 3277 3202 3167
3.60 2984 3266 3192 3157
3.65 2975 3256 3182 3147
3.70 2966 3246 3172 3137
3.75 2957 3237 3163 3128
3.80 2948 3227 3154 3119
3.85 2940 3218 3145 3110
3.90 2932 3209 3136 3102
3.95 2924 3201 3128 3093
4.00 2916 3192 3119 3085

Still response to still power history data

Timg Still T (kOhm) Still Power (mW) MC H35 (mK) 1K pot(K)
2003 4.531 5 12.9 1.68
5/27/2008 4.433 11 24.9 1.51
5/28/2008 4.705 0 24.3 1.481
5/30/2008 4.608 0 23.7 1.602
6/12/2009 4.62 1 29.9 1.518
4.6 2 29.9 1.543
4.9 0 36.6 1.53

Thermometer U02844 (Tower Thermometer)