techniques for approximating the international temperature ... - BIPM
techniques for approximating the international temperature ... - BIPM techniques for approximating the international temperature ... - BIPM
164 be noted that these lower temperature limits are approaching the overall low temperature limit for optimum advantage in using PRTs. For temperatures below about 20 K, rhodium-iron resistance thermometers are in general preferred to PRTs. The sensitivity of their calibrations to magnetic fields is also much less marked than that of SPRTs below 30 K, but is comparable to it above. Anisotropy, correctability, and interchangeability of units are also comparable. The corrections become especially significant below 10 K, even for low fields (1 T). It is next to impossible to trace back to the zero-field calibration with high accuracy, but the correction must be applied even for low accuracy and low fields (1 T). At 4.2 K the change in resistance divided by the zerofield resistance is roughly proportional to the square of the magnetic flux density [Rusby (1972)]. The dependence of the calibration on temperature and magnetic flux density is shown in Fig. 19.1. The platinum 0.5% cobalt resistance thermometer shows a much better behaviour in magnetic fields than does the rhodium-iron thermometer, while anisotropy, correctability, and interchangeability of units are comparable with those of SPRTs. The sensitivity to magnetic fields is smaller than for rhodium-iron, though it has a more complicated behaviour, as shown in Fig. 19.2; in fact, there is a change of sign of magnetoresistivity below about 14 K and 2.5 T. At 30 K the sensitivity to magnetic fields up to 6 T is less than one-third of that for PRTs. For low levels of accuracy, this thermometer can be used without corrections, within an uncertainty of ± 0.2 K, in the region above 8 K and below 3 T. Should the cobalt content of the alloy be reduced to about 0.3 atomic %, the low-temperature limit would become 4 K, with only a small change in the magnetic field limit (2.5 T) [Pavese and Cresto (1984)]. Germanium resistance thermometers have a high sensitivity to magnetic fields, even higher than that of PRTs above 10 K, and comparable with that of rhodium-iron below 10 K. Correctability is good, but the corrections can be made only in situ because they are strongly orientation-dependent (for best accuracy the sensing element of the thermometer should be parallel to the magnetic field). Consequently, the correction also applies only to a specific unit, with no interchangeability, even for low accuracy. Because of this, germanium thermometers are all but useless at all temperatures in the presence of a strong magnetic field. ∆R/R increases more or less proportionally with B 2 and decreases monotonically as T increases (see Fig. 19.3). Table 19.1 gives values of the error that may be expected in various magnetic fields. Research has been undertaken in the USSR [Astrov et al. (1977), Zinov'eva et al. (1979)] and, more recently, in China [Fu Chiying et al. (1986)] to try to overcome the high magnetosensitivity of germanium thermometers. At present only the USSR type is available; it is a multiply-doped germanium resistor (type
165 Fig. 19.1: The change in calibration (∆T(mK)) of rhodium 0.5% iron as a function of temperature and magnetic flux density [Pavese and Cresto (1984)]. KG) which shows a much lower sensitivity to magnetic fields than any other of the above thermometers without its stability to thermal cycling being very much lower than that of regular germanium thermometers [Besley et al. (1986)]. The main problem is correctability, as the behaviour of the correction versus temperature is complicated; on the other hand, the thermometers are much less orientation-dependent than ordinary germanium thermometers below 20 K. Among other semiconducting resistance thermometers, carbon resistors are known to have relatively small and reproducible magnetic field dependence [Sample and Rubin (1977), Sample and Neuringer (1974), Sample et al. (1974), Sanchez et al. (1977), Saito and Sa to (1975), Neuringer and Rubin (1972), Alms et al. (1979)] (see Table 19.1 for the relative errors in temperature that may be expected). For temperatures below about 50 mK typical errors in temperature incurred by neglect of the magnetoresistance are shown in Fig. 19.4.
- Page 134 and 135: 114 calibration after each cool-dow
- Page 136 and 137: 116 12. Carbon-Glass Resistance The
- Page 138 and 139: 118 Fig. 12.1: Resistance-temperatu
- Page 140 and 141: 120 14. Diode Thermometers Diodes c
- Page 142 and 143: 122 2 BT V = E0 − − CT ln ( DT)
- Page 144 and 145: 124 Fig. 15.1: Principal features o
- Page 146 and 147: 126 For a thermometer graduated abo
- Page 148 and 149: 128 rise decreases with time but in
- Page 150 and 151: 130 Fig. 16.1: (a) Fabrication of I
- Page 152 and 153: 132 capillaries of a twin- (or four
- Page 154 and 155: 134 advised to choose the thermomet
- Page 156 and 157: 136 Fig. 16.6: Distribution of the
- Page 158 and 159: 138 and between different thermomet
- Page 160 and 161: 140 therefrom) can then be used wit
- Page 162 and 163: 142
- Page 164 and 165: 144 Fig. 16.8: Tolerances for indus
- Page 166 and 167: 146 Stability on thermal cycling is
- Page 168 and 169: 18.2.1 Type T Thermocouple 148 With
- Page 170 and 171: 150 within ± 0.5 to 0.7 percent. T
- Page 172 and 173: 152 insulation even though it be af
- Page 174 and 175: 154 Table 18.4: Recommended Sheath
- Page 176 and 177: 156 In the case of the Types K and
- Page 178 and 179: 158 temperature is measured with th
- Page 180 and 181: 160 19. Thermometry in Magnetic Fie
- Page 182 and 183: 162 Type of Sensor T(K) Magnetic Fl
- Page 186 and 187: 166 Fig. 19.2: The change in calibr
- Page 188 and 189: 168 Carbon-glass thermometers (Chap
- Page 190 and 191: Ancsin, J. and Phillips, M.J. (1984
- Page 192 and 193: 172 Berry, R.J. (1972): The Influen
- Page 194 and 195: 174 Brodskii, A.D. (1968): Simplifi
- Page 196 and 197: 176 Crovini, L., Perissi, R., Andre
- Page 198 and 199: Hudson, R.P. (1972): Principles and
- Page 200 and 201: 180 Lengerer, B. (1974): Semiconduc
- Page 202 and 203: 182 OIML (1985): International Reco
- Page 204 and 205: 184 Rusby, R.L. (1975): Resistance
- Page 206 and 207: 186 Seifert, P. and Fellmuth, B. (1
- Page 208 and 209: 188 Ween, S. (1968): Care and Use o
- Page 210 and 211: 190 Fig. A.1: Differences between t
- Page 212 and 213: National Institute of Metrology P.O
- Page 214 and 215: 194 Appendix C Some Suppliers of Va
- Page 216 and 217: 196 Appendix D Calculations Relativ
- Page 218 and 219: 198 4. The calculation of the numbe
- Page 220 and 221: 200 Appendix F Interpolation Polyno
- Page 222 and 223: - temperature range from 0 °C to 1
- Page 224 and 225: 204 where: d0 = 0; d5 = -3.17578007
165<br />
Fig. 19.1: The change in calibration (∆T(mK)) of rhodium 0.5% iron as a function of<br />
<strong>temperature</strong> and magnetic flux density [Pavese and Cresto (1984)].<br />
KG) which shows a much lower sensitivity to magnetic fields than any o<strong>the</strong>r of <strong>the</strong> above<br />
<strong>the</strong>rmometers without its stability to <strong>the</strong>rmal cycling being very much lower than that of<br />
regular germanium <strong>the</strong>rmometers [Besley et al. (1986)]. The main problem is correctability,<br />
as <strong>the</strong> behaviour of <strong>the</strong> correction versus <strong>temperature</strong> is complicated; on <strong>the</strong> o<strong>the</strong>r hand, <strong>the</strong><br />
<strong>the</strong>rmometers are much less orientation-dependent than ordinary germanium <strong>the</strong>rmometers<br />
below 20 K.<br />
Among o<strong>the</strong>r semiconducting resistance <strong>the</strong>rmometers, carbon resistors are known<br />
to have relatively small and reproducible magnetic field dependence [Sample and Rubin<br />
(1977), Sample and Neuringer (1974), Sample et al. (1974), Sanchez et al. (1977), Saito and<br />
Sa to (1975), Neuringer and Rubin (1972), Alms et al. (1979)] (see Table 19.1 <strong>for</strong> <strong>the</strong> relative<br />
errors in <strong>temperature</strong> that may be expected). For <strong>temperature</strong>s below about 50 mK typical<br />
errors in <strong>temperature</strong> incurred by neglect of <strong>the</strong> magnetoresistance are shown in Fig. 19.4.