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Measurement techniques: electrical  257

            for  a  resistance  thermometer  material  as  resist-   Rt = R,[1  +At + Bt? + C(t - 100) . t3]
            ance values can be determined with a high degree                          (14.13)
            of  accuracy using suitable equipment and taking
            adequate precautions.                     and for the range 0 "C to 850 "C:
              Platinum, having the highest possible coefficient
            of resistivity, is considered the best material for the   Rt  = Ro(l + At + Bt')   (14.14)
            construction of thermometers. A high value of this   where  A  = 3.908 02 x   'e-', E = -5.802~
            coefficient is an indication that the platinum is of   lo-'  'Cp2, and C = -4.273  50 x  10-1'"C-4'.
            high  purity.  The presence of impurities in resist-   The temperature coefficient is given by:
            ance thermometer material is undesirable, as diffu-
            sion, segregation, and  evaporation  may  occur  in
            service, resulting in a lack of stability of the thermo-
            meter.  The  temperature  coefficient  of  resistivity
            is  also  sensitive  to  internal  strains  so  that  it  is   As indicated by equations (14.14) and (14.151, the
            essential that the platinum  should be annealed at   value of  a is not constant  over the temperature
            a temperature higher than the maximum tempera-   range. Figure 14.16 shows the tolerances. in ohms
            ture  of  service. The  combination  of  purity  and   and degrees Celsius, over the specified tempera-
             adequate annealing is  shown by  a high  value of   ture range. (Figure 14.16 is based on Figure 2 of
             the  ratio  of  the resistances at  the  steam  and ice   BS 104: 1984 and is reproduced with the permis-
            points, To  comply with  the  requirements of  the   sion of the BSI. Complete copies of the standard
             International  Practical  Temperature  Scale  of   may be obtained by post from BSI Sales, Linford
             1968 this ratio must exceed 1.39250.     Wood,  Milton  Keynes,  MK14  6LE,  UK.)  For
              It  is  essential  that  the  platinum  element  is   industrial applications class B thermometer sensors
            mounted  in such a way  that it  is not  subject to   are normally used. Class A sensors are available for
             stress in service.                       greater  precision.  but  they  are  specified over  a
              Platinum is used for resistance thermometry in   more  restricted temperature  range. Although  the
             industry fix temperatures up to 800 "C. It does not   standard  specifies the temperature range down to
             oxidize,  but  must  be  protected  from  contamin-   -200  "C (73 K).  class A sensors may be used  for
             ation. The commonest cause of contamination of   temperatures  down  to  15  K.  Resistance  therm-
             platinum resistance thermometers is contact with   ometers  are  calibrated  to  IPTS-68  which  is
             silica, or silica-bearing refractories, in a reducing   normally done by comparison with a standardized
             atmosphere. In the presence of a reducing atmos-   resistance thermometer.  For  industrial use,  most
             phere, silica is reduced to silicon, which alloys with   thermometers  are  made  to  be  100n  at  0"C,
             platinum,  making  it  brittle.  Platinum  resistance   but  10 R thermometers are manufactured  where
             thermometers may be used for temperatures down   particularly  robust  sensors are required.  A wide
             to about 20 K.                           range of sensor designs is available, the form used
              For measuring  temperatures between  1 K and   depending  upon  the  duty  and  the  speed  of
             40 K doped germanium sensors are usually used,   response  required.  Some  typical  forms  of  con-
             while carbon resistors are used between 0.1 K and   struction  are illustrated  in  Figure  14.17. Figure
             20 K.  About  20 K  platinum  has  a  greater  tem-   14.17(a) shows a high-temperature form in which
             perature coefficient of resistivity and has a greater   the spiral platinum coil is bonded at one edge of
             stability.  Between  0.35 K  and  40 K  a  resistance   each  turn  with  high-temperature  glass  inside
             thermometer material (0.5 atomic % iron-rhodium)   cylindrical  holes  in  a  ceramic  rod.  In  the  high
             is also used.                            accuracy type, used mainly for laboratory  work.
                                                      the coil is not secured at each turn but is left free
                                                      to  ensure  a  completely  strain-free  mounting,
             Tenzyeratirrelresist~~~ice relationship  of  resistance   Figure  14.17(b). Where  a  robust  form.  suitable
             thermometers  BS 1904: 1984 and its internation-   for  use  in  aircraft  and  missiles  or  any  severe
             ally  harmonized  equivalent  standard  IEC  75  1 :   vibration condition is required, the ceramic is in
             1983  specify  the  resistance  versus  temperature   solid  rod  form  and the bifilar  wound  platinum
             characteristics  of  industrial  platinum  resistance   coil  is  sealed  to  the  rod  by  a  glass  coating  as
             thermometers.  The  standard  provides  tables  of   shown  in  Figurel4.17(c).  Where  the  sensor  is
             resistance  against  temperature  for  100 R  resist-   intended for use for measuring surface tempera-
             ance  thermometers  over  the  temperature  range   tures. the form shown in Figure 14.171d) is used.
             -200°C  to  850°C. Two grades  of  thermometer   In  all  forms,  the  ceramic  formers  are  virtually
             are specified. The  equations  are provided  from   silica-free and the resistance element is sealed in
             which the tables are derived.            with  high  temperature  glass to form  an  imper-
               Between -200  "C and 0 "C the resistance of the   vious  sheath which is unaffected  by  most  gases
             thermometer, R,, is given by:            and hydrocarbons. The external leads, which are
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