| MadSci Network: Physics |
This is a very interesting question, and its answer calls for some antecedents: First it is necessary to talk about the International System of Units, and in doing so, we need to mention the Convention of the Metre and the Bureau International des Poids et Mesures (http://www.bipm.fr) The Convention of the Metre (Convention du Mčtre) The Convention of the Metre is a diplomatic treaty between forty-nine nations which gives authority to the Conférence Générale des Poids et Mesures (CGPM), the Comité International des Poids et Mesures (CIPM) and the Bureau International des Poids et Mesures (BIPM) to act in matters of world metrology, particularly concerning the demand for measurement standards of ever increasing accuracy, range and diversity, and the need to demonstrate equivalence between national measurement standards. The Convention was signed in Paris in 1875 by representatives of seventeen nations. As well as founding the BIPM and laying down the way in which the activities of the BIPM should be financed and managed, the Metre Convention established a permanent organizational structure for member governments to act in common accord on all matters relating to units of measurement. The Convention, modified slightly in 1921, remains the basis of all international agreement on units of measurement. There are now forty-nine Member States, including all the major industrialized countries. The International System of Units (SI) The 11th Conférence Générale des Poids et Mesures (1960) adopted the name Systčme International d'Unités (International System of Units, international abbreviation SI), for the recommended practical system of units of measurement. The 11th CGPM laid down rules for the prefixes, the derived units, and other matters. The base units are a choice of seven well-defined units which by convention are regarded as dimensionally independent: the metre, the kilogram, the second, the ampere, the kelvin, the mole, and the candela. Derived units are those formed by combining base units according to the algebraic relations linking the corresponding quantities. The names and symbols of some of the units thus formed can be replaced by special names and symbols which can themselves be used to form expressions and symbols of other derived units. The SI is not static but evolves to match the world's increasingly demanding requirements for measurement. It is clear now, I hope, that in order to ensure that the measurements we are making will be accepted by everybody, it is necessary for us to follow the BIPM rules and recommendations. This is more so because at the very end all measurements do have some economic impact (bad measurements mean bad products). We are closer now to the answer you need. We need to know some organizational details of the BIPM: Committee structure of the Metre Convention Under the terms of the Metre Convention, the BIPM operates under the exclusive supervision of the Comité International des Poids et Mesures (CIPM), which itself comes under the authority of the Conférence Générale des Poids et Mesures (CGPM). The GPM elects the members of the CIPM and brings together periodically, at present once every four years, representatives of the governments of Member States. The CIPM has established a number of Consultative Committees, which bring together the world's experts in their specified fields as advisers on scientific and technical matters. One of this Committees is the Consultative Committee for Thermometry whose main task is to provide sound basis for temperature measurements. It was established in 1937, and this year will hold its 21st meeting. During the first of those meetings the CCT organized all the work that had been made during the 60 previous years, ad over the following years it has been studying the reliability of the different versions of the International Temperature Scale. Now it is necessary to talk a little about temperature and thermometers. Temperature is the quantity more often measured in science and technology: nearly 35% of the money spent in metrology activities worldwide is invested in temperature measurement and its control. Nevertheless temperature is not an easy thing to define or to measure. Temperature is a quantity that establishes the thermal equilibrium between two bodies or systems, and it can not be measured directly. In practice we always measure some other quantity (the thermometric property of a thermometer) that varies according to a known function with temperature. Among the most used thermometric properties are: pressure of a gas (gas thermometers), length of a liquid column (mercury thermometers), electromotive force (thermocouples), electric resistance (resistance thermometers) and spectral radiance (radiation thermometers). If the response of a thermometer (its state equation) can be described using a function in which there are no quantities that depend on temperature in a unknown way, we say that the thermometer is a thermodynamic thermometer. Those thermometers need not to be calibrated, because its response is always known. In the other hand, if the behavior of a thermometer is described using constants or variables that depends on temperature, we say that the thermometer is a practical one. Those thermometers require to be calibrated in order to provide meaningful responses. Examples of thermodynamic thermometers are the gas thermometer and the radiation thermometer. Mercury and alcohol thermometers, thermocouples, PRTs (Platinum Resistance Thermometers), RTDs (Resistance Temperature Devices) and thermistors are examples of practical thermometers. Since the measurement of temperatures using a gas thermometer (which was the only thermodynamic thermometer available in the 19 century) is a cumbersome and very slow procedure, many efforts were performed in order to define reliable practical thermometers. Therefore at the end of the 19 century and the beginning of the 20 century it was possible to speak of a thermodynamic temperature scale (obtained by means of a gas thermometer), and a practical temperature scale (obtained using mercury-in-glass thermometers). It is considered that the modern thermometry was started by Chappius in 1888 (see Quinn, T. J. Temperature, Academic Press, 1983). The overall aim of his work was to relate the readings of the very best mercury-in-glass thermometers to absolute (i.e. thermodynamic) temperature. In 1899 Callendar made a proposal for a practical temperature scale (one based on the precise assignation of temperature to several equilibrium states, or fixed points, and an interpolating instrument possesing a well studied interpolating equation that describes its response). Callendar proposed also the use of a platinum resistance thermometer as the defining (interpolating) thermometer. The advantages of such practical temperature scale were twofold: a platinum thermometer is a (relatively) easy to use instrument with fast response, and its reproducibility is much better than that of the best gas thermometers. The first Temperature Scale was officially adopted in 1927. It covered the range from -182,97 °C (Note: According to the SI recommendations it is improper to write 182.97 °C) to 1063 °C. New versions appeared on 1948, 1968 and 1990. This last version, the International Temperature Scale of 1990 is the only scale accepted internationally, it superseded all the previous Scales (see:Preston-Thomas, H. The International Temperature Scale of 1990 (ITS-90), Metrologia 27,3-10 (1990)). It covers the range from 0,65 k to the highest temperature that could be measured using radiation thermometry. We are almost there now, so pay attention. Now I will follow very closely the discussion in the book of Quinn already cited: In 1960 an important change was made on the definition of the unit of thermodynamic temperature: the 1854 proposal of Kelvin was finally adopted, namely that the unit of thermodynamic temperature be defined in terms of the interval between the absolute zero and a single fixed point. The temperature of the triple point of water was fixed at exactly 0,01 °K (note that we are speaking of degrees Kelvin here) above the ice point, which in turn was assigned the thermodynamic temperature of 273,15 °K. This proposal was already been made in 1948 but at that time, there was still a divergence of view as to whether the absolute zero should be assigned a temperature of -273,15 °C or -273,16°C. The question was finally resolved in 1954 (and accepted by the CIPM in 1955), and the new definition of the degree Kelvin adopted by the 10th CGPM en 1960. This resulted in the curious situation that thermodynamic temperatures were defined in quite a different way to International Practical Temperatures (in which two fixed points were used for the definition of the degree Kelvin, and whose unit was also the degree Kelvin). It therefore became necessary to distinguish between the degree Kelvin (unit of thermodynamic temperature) and the International Practical degree Kelvin (unit of International Practical Kelvin Temperature, obtained from the International Practical Temperature Scale of 1948). The two were almost certainly not identically equal since °K(Int-1948) was defined in terms of an interval of exactly 100 °K(Int-1948) between the ice and the steam points, while °K(thermodynamic) was defined in terms of an interval of exactly 273,16 °K between the absolute zero and the triple point of water. Since the number 273,16 resulted from experimental measurements using gas thermometers which have been calibrated at the ice (whose temperature was 0 °C by definition) and steam points (100 °C, also by definition), the two units °K(Int-1948) and °K(thermodynamic) would be identical if, and only if, these experiments had been exactly right in giving a temperature of -273,15 °C to the absolute zero. This awkward situation was resolved in the 1968 revision of the Temperature Scale, when both thermodynamic and Practical units were defined to be identical and equal to 1/273,16 of the thermodynamic temperature of the triple point of water. The unit itself was renamed "the kelvin" in place of "degree Kelvin" and designated "K" instead of "°K". This left the interval between the ice and the steam points as an experimental quantity to be decided upon the basis of the best measurements of the thermodynamic temperature of the steam point (the best value is now of 99,975 °C). In the other hand, using an interval of 100 °C between the ice and the steam points leads to a value of -273,22 °C for the absolute zero.
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