# Recommendation 1 of the 91st CIPM (2002)

## Revision of the practical realization of the definition of the metre

The International Committee for Weights and Measures,

recalling

• that in 1983 the 17th General Conference (CGPM) adopted a new definition of the metre;
• that in the same year the CGPM invited the International Committee (CIPM)
• to draw up instructions for the practical realization of the metre,
• to choose radiations which can be recommended as standards of wavelength for the interferometric measurement of length and draw up instructions for their use,
• to pursue studies undertaken to improve these standards and in due course to extend or revise these instructions;
• that in response to this invitation the CIPM adopted Recommendation 1 (CI-1983) (mise en pratique of the definition of the metre) to the effect
• that the metre should be realized by one of the following methods:
1. by means of the length l of the path travelled in vacuum by a plane electromagnetic wave in a time t; this length is obtained from the measured time t, using the relation l = c0 · t and the value of the speed of light in vacuum c0 = 299 792 458 m/s,
2. by means of the wavelength in vacuum λ of a plane electromagnetic wave of frequency f; this wavelength is obtained from the measured frequency f using the relation λ = c0 / f and the value of the speed of light in vacuum c0 = 299 792 458 m/s,
3. by means of one of the radiations from the list below, whose stated wavelength in vacuum or whose stated frequency can be used with the uncertainty shown, provided that the given specifications and accepted good practice are followed;
• that in all cases any necessary corrections be applied to take account of actual conditions such as diffraction, gravitation or imperfection in the vacuum;
• that in the context of general relativity, the metre is considered a unit of proper length. Its definition, therefore, applies only within a spatial extent sufficiently small that the effects of the non-uniformity of the gravitational field can be ignored (note that, at the surface of the Earth, this effect in the vertical direction is about 1 part in 1016 per metre). In this case, the effects to be taken into account are those of special relativity only. The local methods for the realization of the metre recommended in (b) and (c) provide the proper metre but not necessarily that given in (a). Method (a) should therefore be restricted to lengths l which are sufficiently short for the effects predicted by general relativity to be negligible with respect to the uncertainties of realization. For advice on the interpretation of measurements in which this is not the case, see the report of the Consultative Committee for Time and Frequency (CCTF) Working Group on the Application of General Relativity to Metrology (Application of general relativity to metrology, Metrologia, 1997, 34, 261-290);
• that the CIPM had already recommended a list of radiations for this purpose;

recalling also that in 1992 and in 1997 the CIPM revised the practical realization of the definition of the metre;

considering

• that science and technology continue to demand improved accuracy in the realization of the metre;
• that since 1997 work in national laboratories, in the BIPM and elsewhere has identified new radiations and methods for their realization which lead to lower uncertainties;
• that there is an increasing move towards optical frequencies for time-related activities, and that there continues to be a general widening of the scope of application of the recommended radiations of the mise en pratique to cover not only dimensional metrology and the realization of the metre, but also high-resolution spectroscopy, atomic and molecular physics, fundamental constants and telecommunication;
• that a number of new frequency values with reduced uncertainties for radiations of high-stability cold atom and ion standards already listed in the recommended radiations list are now available, that the frequencies of radiations of several new cold atom and ion species have also recently been measured, and that new improved values with substantially reduced uncertainties for a number of optical frequency standards based on gas cells have been determined, including the wavelength region of interest to optical telecommunications;
• that new femtosecond comb techniques have clear significance for relating the frequency of high-stability optical frequency standards to that of the frequency standard realizing the SI second, that these techniques represent a convenient measurement technique for providing traceability to the International System of Units (SI) and that comb technology also can provide frequency sources as well as a measurement technique;

recognizes comb techniques as timely and appropriate, and recommends further research to fully investigate the capability of the techniques;

welcomes validations now being made of comb techniques by comparison with other frequency chain techniques;

urges national metrology institutes and other laboratories to pursue the comb technique to the highest level of accuracy achievable and also to seek simplicity so as to encourage widespread application;

recommends

• that the list of recommended radiations given by the CIPM in 1997 (Recommendation 1 (CI-1997)) be replaced by the list of radiations given below*, including
• updated frequency values for cold Ca atom, H atom and the trapped Sr+ ion,
• frequency values for new cold ion species including trapped Hg+ ion, trapped In+ ion and trapped Yb+ ion,
• updated frequency values for Rb-stabilized lasers, I2-stabilized Nd:YAG and He-Ne lasers, CH4-stabilized He-Ne lasers and OsO4-stabilized CO2 lasers at 10 μm,
• frequency values for standards relevant to the optical communications bands, including Rb- and C2H2-stabilized lasers.

DOI : 10.59161/CIPM2002REC1E

reference
The reader should note that the official version of this Resolution is the French text

### NOTE

*The list of recommended radiations is given in: and Metrologia, 2003, 40, 104-115.