scholarly journals On Klemens and Lowenthal's Paper on Deviations from Matthiessen's Rule

1962 ◽  
Vol 15 (3) ◽  
pp. 441
Author(s):  
RJ Berry ◽  
DR Lovejoy
Keyword(s):  
Low Temperature ◽  
Simple Formula ◽  
Platinum Resistance ◽  
Platinum Resistance Thermometers ◽  
Resistance Thermometers ◽  
Conduction Theory ◽  
Resistance Thermometry ◽  
Matthiessen's Rule ◽  
Band Conduction ◽  
Matthiessen’S Rule

In a recent paper on deviations from Matthiessen's rule for platinum Klemens and Lowenthal (1961) classified the deviation patterns, calculated for a number of different platinum resistance thermometers, into three groups, and reported that only one of these groups followed the pattern predicted by Sondheimer and Wilson's (1947) two-band conduction theory. They suggested that if resistors belonging to one particular group (though no matter which group) were selected for use in low temperature platinum resistance thermometry then the resistance-temperature relationship could be expressed accurately by a relatively simple formula. We believe that Klemens and Lowenthal's method of classifying the resistors into groups is open to serious objection and that consequently some of their important conclusions are not necessarily valid.

RELATIONSHIP BETWEEN THE REAL AND IDEAL RESISTIVITY OF PLATINUM

1963 ◽  
Vol 41 (6) ◽  
pp. 946-982 ◽  
Author(s):  
R. J. Berry
Keyword(s):  
Theoretical Expression ◽  
Special Method ◽  
Platinum Resistance ◽  
The Real ◽  
Resistance Function ◽  
Platinum Resistance Thermometers ◽  
Resistance Thermometers ◽  
Measured Resistance ◽  
Matthiessen's Rule ◽  
Matthiessen’S Rule

The relationship between the real and ideal resistance functions (RT/R273) has been examined for a wide variety of specimens of thermometric platinum over the range 0–900° K. An attempt was made to relate these two functions by using Matthiessen's rule in addition to Kohler's theoretical expression for the deviation from Matthiessen's rule. It was found that Kohler's relation did not apply for most specimens of thermometric platinum; however, in the restricted range 20–90° K, it appeared to hold fairly well for about 17 of the 65 resistors examined.Values for the ideal resistance function have been determined by extrapolating the measured resistance values of a large number of platinum resistance thermometers. In the range 10–90° K a special method of extrapolation has been used which appears to give greater accuracy than previously attained. Also, methods for estimating the residual resistance ratio (at 0° K) from measurements at higher temperatures are discussed.The results of this investigation have been applied to the practical problem of extending the present platinum resistance temperature scale below 90.19° K. To this end, a somewhat different method for interpolating the real resistance function between a number of fixed calibration temperatures has been outlined and compared with earlier methods.

Calibration and Application Techniques for Platinum Resistance Thermometers

1972 ◽  
Vol 94 (2) ◽  
pp. 381-386 ◽  
Author(s):  
R. P. Benedict ◽  
R. J. Russo
Keyword(s):  
Experimental Data ◽  
Temperature Scale ◽  
Calibration Procedure ◽  
Platinum Resistance ◽  
Platinum Resistance Thermometers ◽  
Resistance Thermometers ◽  
Application Techniques ◽  
Practical Temperature ◽  
Practical Temperature Scale ◽  
Resistance Thermometry

The International Practical Temperature Scale has been redefined recently. It follows that the interpolating equations relating platinum resistance to temperature must be reevaluated for all platinum resistance thermometers which are used as standards for calibration work. After a brief review of the former calibration procedure, the new temperature scale is discussed as it affects resistance thermometry in the temperature range from 0 C to 630.74 C. An example based on new experimental data is given to illustrate the method of determining thermometer constants for the new scale, and to indicate the magnitude of the changes required.

ITS-90 non-uniqueness and evaluation of characteristics of new 1000 Ω type platinum resistance thermometers for low-temperature measurement

2020 ◽  
Vol 31 (9) ◽  
pp. 094017 ◽  
Author(s):  
Tohru Nakano ◽  
Yasuki Kawamura ◽  
Tomosuke Imamura ◽  
Naosuke Imamura ◽  
Kazuhiro Kinoshita
Keyword(s):  
Low Temperature ◽  
Temperature Measurement ◽  
Platinum Resistance ◽  
Platinum Resistance Thermometers ◽  
Resistance Thermometers

Methods of checking standard low-temperature platinum resistance thermometers

1977 ◽  
Vol 20 (4) ◽  
pp. 527-530 ◽  
Author(s):  
L. B. Belyanskii ◽  
D. I. Sharevskaya
Keyword(s):  
Low Temperature ◽  
Platinum Resistance ◽  
Platinum Resistance Thermometers ◽  
Resistance Thermometers

THE CALIBRATION OF PLATINUM RESISTANCE THERMOMETERS IN THE TEMPERATURE RANGE 11° TO 90°K

1951 ◽  
Vol 29 (2) ◽  
pp. 142-150 ◽  
Author(s):  
J. M. Los ◽  
J. A. Morrison
Keyword(s):  
Low Temperature ◽  
Temperature Scale ◽  
Platinum Resistance ◽  
National Bureau ◽  
International Temperature Scale ◽  
International Temperature ◽  
Platinum Resistance Thermometers ◽  
Resistance Thermometers ◽  
Corrective Term ◽  
Low Temperature Calorimetry

A set of six platinum resistance thermometers of a form suitable for low temperature calorimetry has been made and calibrated in the region 11° to 90°K. by intercomparison with a similar thermometer which had been calibrated at the National Bureau of Standards. Above 90°K. calibration has been made on the International Temperature Scale.Using the intercomparison data, it has been possible to derive a method whereby for these thermometers the scale for the region 20° to 90°K. may be found to within 0.002°C. by means of fixed points. The method applies a 'Z function' of the type used at the National Bureau of Standards (13), plus a corrective term which depends upon the resistance of the thermometer at the boiling point of hydrogen and upon the normal constants which are determined for the International Temperature Scale above 90°K.

A Low Temperature Adiabatic Calorimeter. The Calibration of the Platinum Resistance Thermometers

1941 ◽  
Vol 63 (12) ◽  
pp. 3488-3492 ◽  
Author(s):  
Don M. Yost ◽  
Clifford S. Garner ◽  
Darrell W. Osborne ◽  
Thor R. Rubin ◽  
Horace Russell
Keyword(s):  
Low Temperature ◽  
Adiabatic Calorimeter ◽  
Platinum Resistance ◽  
Platinum Resistance Thermometers ◽  
Resistance Thermometers

Triple point of gallium used to calibrate low-temperature platinum resistance thermometers

1991 ◽  
Vol 34 (5) ◽  
pp. 466-468 ◽  
Author(s):  
Ya. E. Razhba ◽  
I. A. Razhba
Keyword(s):  
Low Temperature ◽  
Triple Point ◽  
Platinum Resistance ◽  
Platinum Resistance Thermometers ◽  
Resistance Thermometers

Comparison of low-temperature scales of platinum resistance thermometers

1959 ◽  
Vol 2 (8) ◽  
pp. 613-614
Author(s):  
D. N. Astrov ◽  
M. P. Orlova ◽  
P. G. Strelkov ◽  
D. I. Sharevskaya
Keyword(s):  
Low Temperature ◽  
Platinum Resistance ◽  
Temperature Scales ◽  
Platinum Resistance Thermometers ◽  
Resistance Thermometers

scholarly journals Deviations from Matthiessen's Rule for Platinum

1961 ◽  
Vol 14 (3) ◽  
pp. 352 ◽  
Author(s):  
PG Klemens ◽  
GC Lowenthal
Keyword(s):  
Electronic Band Structure ◽  
Impurity Content ◽  
The Other ◽  
Platinum Resistance ◽  
Electronic Band ◽  
Total Impurity ◽  
Total Impurity Content ◽  
Resistance Thermometry ◽  
Matthiessen's Rule ◽  
Matthiessen’S Rule

An analysis of the resistivity-temperature relationship down to liquid helium temperatures of 17 platinum resistors as determined in various laboratories shows that deviations from Matthiessen's rule can be classed roughly into three groups. One of them follows the pattern predicted by Sondheimer and Wilson's theory. The other two cannot be fully explained in this way, and may be due to the sensitivity of the electronic band structure of transition metals to small concentrations of impurities. The behaviour of a resistor thus depends on the nature as well as the total amount of impurities and imperfection~. In low temperature platinum resistance thermometry the resistors should be selected with regard to the type of residual impurity as well as total impurity content.

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