techniques for approximating the international temperature ... - BIPM
techniques for approximating the international temperature ... - BIPM techniques for approximating the international temperature ... - BIPM
8.1 General Remarks 88 8. Platinum Resistance Thermometers The platinum resistance thermometer (PRT) is very widely used below 500 °C as a thermometric sensor. There is a wide range of quality of PRT available, from the standard instrument (SPRT) of the ITS-90 to some industrial types (IPRT) that are accurate only to within a few tenths of a kelvin or, perhaps, even a kelvin or more. The major difference of the industrial type of fabrication from the standard type is not just the purity of platinum, but also the less strain-free mounting of the film or wire which is embedded (partially or totally) in a cement (glass or refractory). Furthermore, in most cases, the thermometer body is not hermetically sealed. The ITS restricts the quality of the thermometer that may be used as a standard instrument. For the ITS-90 an acceptable PRT must be made from pure, strain-free platinum, and it must satisfy at least one of the following two relations: W(29.7646 °C) ≥ 1.118 07 W(-38.8344 °C) ≤ 0.844 235 , where W(t90) = R(t90)/R(0.01 °C)*. If the PRT is to be used to the freezing point of silver, it must also satisfy the relation W(961.78 °C) ≥ 4.2844 . These relations are closely equivalent to the restriction that (dW(t90)/dt90)0.01 °C ≥ 3.986 x 10 -3 K -1 . These relations, in essence, assure that the platinum in an SPRT is highly pure. They are equivalent to the requirement that W(H20 b.p.) > 1.392 44, whereas it is estimated that _________________________________________________________________________ * Note that this definition of W(t90) is different from the equivalent one for W68(t68). The latter uses R(0 °C) as the reference in the ratio. It follows that W68(t68) = 1.000 040 W(t90) to better than 1 part in 10 6 for any SPRT.
89 for ideally pure platinum W(H20 b.p.) ~ 1.392 74. No such restrictions apply, in principle, to a PRT used to approximate the ITS-90. Various national and international bodies place restrictions on the quality of PRT that is suitable to meet their requirements for accuracy, the restriction taking the form of a specification on W(H20 b.p.). In addition, in conjunction with the use of standard tables of resistance, the value of R(0 °C) is specified. Also, the resistance ratio W(4.2 K) is sometimes used as a quality indicator. The most accurate thermometers (corresponding to W(H20 b.p.) > 1.3925 have W(4.2 K) < 4 x 10 -4 , whereas industrial thermometers (corresponding to W(H20 b.p.) ~1.385) have W(4.2 K) nearer 2 x 10 -2 . It must also be remembered that for industrial purposes the platinum sensing element is usually mounted within a protective sheath which can modify some of the characteristics of the sensor itself. It is the latter that has been most often studied in the references to follow. In Section 8.2 we outline a few simple methods for approximating the ITS-90* based upon fixed-point calibrations and simple interpolation formulae to be used with SPRTs, with indications of the accuracies that may be achieved. Discussion of IPRTs is given in Chapter 16 in Part 2. 8.2 Interpolation Equations for Standard Platinum Resistance Thermometers* The approximations described here are concerned with SPRTs calibrated with simplified methods for medium to high accuracy. Several such simplified procedures have been suggested but only some of the more promising of them are described here. Some of the others appear either to be too complicated or to have been insufficiently tested (e.g. too few thermometers) to be suitable for recommendation. (a) Perhaps the simplest secondary realization is an extrapolation below 273 K of the following defining equations of the IPTS-68 from above 273 K: ⎛ t' ⎞⎛ t' ⎞⎛ t' ⎞⎛ t' ⎞ t 68 = t'+ 0. 045⎜ ⎟⎜ − 1⎟⎜ − 1⎟⎜ − 1⎟ (8.1) ⎝100 ° C ⎠⎝100 ° C ⎠⎝ 419. 58 ° C ⎠⎝ 630. 74 ° C ⎠ W68(t') = 1 + At' + Bt' 2 (8.2) _________________________________________________________________________ * All of these methods were devised as approximations to the IPTS-68 but they are also applicable to the ITS-90.
- Page 58 and 59: 38 Fig. 3.4: Cross sectional drawin
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- Page 104 and 105: 84 the remaining liquid increases.
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8.1 General Remarks<br />
88<br />
8. Platinum Resistance Thermometers<br />
The platinum resistance <strong>the</strong>rmometer (PRT) is very widely used below 500 °C as a<br />
<strong>the</strong>rmometric sensor. There is a wide range of quality of PRT available, from <strong>the</strong> standard<br />
instrument (SPRT) of <strong>the</strong> ITS-90 to some industrial types (IPRT) that are accurate only to<br />
within a few tenths of a kelvin or, perhaps, even a kelvin or more. The major difference of <strong>the</strong><br />
industrial type of fabrication from <strong>the</strong> standard type is not just <strong>the</strong> purity of platinum, but also<br />
<strong>the</strong> less strain-free mounting of <strong>the</strong> film or wire which is embedded (partially or totally) in a<br />
cement (glass or refractory). Fur<strong>the</strong>rmore, in most cases, <strong>the</strong> <strong>the</strong>rmometer body is not<br />
hermetically sealed.<br />
The ITS restricts <strong>the</strong> quality of <strong>the</strong> <strong>the</strong>rmometer that may be used as a standard<br />
instrument. For <strong>the</strong> ITS-90 an acceptable PRT must be made from pure, strain-free platinum,<br />
and it must satisfy at least one of <strong>the</strong> following two relations:<br />
W(29.7646 °C) ≥ 1.118 07<br />
W(-38.8344 °C) ≤ 0.844 235 ,<br />
where W(t90) = R(t90)/R(0.01 °C)*. If <strong>the</strong> PRT is to be used to <strong>the</strong> freezing point of<br />
silver, it must also satisfy <strong>the</strong> relation<br />
W(961.78 °C) ≥ 4.2844 .<br />
These relations are closely equivalent to <strong>the</strong> restriction that<br />
(dW(t90)/dt90)0.01 °C ≥ 3.986 x 10 -3 K -1 .<br />
These relations, in essence, assure that <strong>the</strong> platinum in an SPRT is highly pure. They are<br />
equivalent to <strong>the</strong> requirement that W(H20 b.p.) > 1.392 44, whereas it is estimated that<br />
_________________________________________________________________________<br />
* Note that this definition of W(t90) is different from <strong>the</strong> equivalent one <strong>for</strong> W68(t68). The<br />
latter uses R(0 °C) as <strong>the</strong> reference in <strong>the</strong> ratio. It follows that W68(t68) = 1.000 040 W(t90)<br />
to better than 1 part in 10 6 <strong>for</strong> any SPRT.