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The International System of Units (SI)

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The International System of Units (SI) NAT'L INST. OF STAND & TECH NIST National Institute of Standards and Technology Technology Administration, U.S. Department of Commerce NIST Special Publication 330 2001 Edition The International System of Units (SI) 4. Barry N. Taylor, Editor r A o o L57 330 2oOI rhe National Institute of Standards and Technology was established in 1988 by Congress to "assist industry in the development of technology . needed to improve product quality, to modernize manufacturing processes, to ensure product reliability . and to facilitate rapid commercialization ... of products based on new scientific discoveries." NIST, originally founded as the National Bureau of Standards in 1901, works to strengthen U.S. industry's competitiveness; advance science and engineering; and improve public health, safety, and the environment. One of the agency's basic functions is to develop, maintain, and retain custody of the national standards of measurement, and provide the means and methods for comparing standards used in science, engineering, manufacturing, commerce, industry, and education with the standards adopted or recognized by the Federal Government. As an agency of the U.S. Commerce Department's Technology Administration, NIST conducts basic and applied research in the physical sciences and engineering, and develops measurement techniques, test methods, standards, and related services. The Institute does generic and precompetitive work on new and advanced technologies. NIST's research facilities are located at Gaithersburg, MD 20899, and at Boulder, CO 80303. Major technical operating units and their principal activities are listed below. For more information contact the Publications and Program Inquiries Desk, 301-975-3058. Office of the Director Chemical Science and Technology • National Quality Program Laboratory • International and Academic Affairs • Biotechnology • Physical and Chemical Properties^ Technology Services • Analytical Chemistry • Standards Services • Process Measurements • Technology Partnerships • Surface and Microanalysis Science • Measurement Services • Information Services Physics Laboratory • Electron and Optical Physics Advanced Technology Program • Atomic Physics • Optical Technology • Economic Assessment • Ionizing Radiation • Information Technology and Applications • and Frequency' • Chemistry and Life Sciences Time • Physics' • Materials and Manufacturing Technology Quantum • Electronics and Photonics Technology Manufacturing Engineering Laboratory Manufacturing Extension Partnership Program • Precision Engineering • Manufacturing Metrology • Regional Programs • Intelligent Systems • National Programs • Fabrication Technology • Program Development • Manufacturing Systems Integration Electronics and Electrical Engineering Building and Fire Research Laboratory Laboratory • Microelectronics • Applied Economics • Law Enforcement Standards • Structures • Electricity • Building Materials • Semiconductor Electronics • Building Environment • Radio-Frequency Technology' • Fire Safety Engineering • Electromagnetic Technology' • Fire Science • Optoelectronics' Information Technology Laboratory Materials Science and Engineering • Mathematical and Computational Sciences^ Laboratory • Advanced Network Technologies • Intelligent Processing of Materials • Computer Security • Ceramics • Information Access • Materials Reliability' • Convergent Information Systems • Polymers • Information Services and Computing • Metallurgy • Software Diagnostics and Conformance Testing • NIST Center for Neutron Research • Statistical Engineering 'At Boulder, CO 80303. ^Some elements at Boulder, CO. NIST SPECIAL PUBLICATION 330 2001 EDITION THE INTERNATIONAL SYSTEM OF UNITS (SI) Barry N. Taylor, Editor Physics Laboratory National Institute of Standards and Technology Gaithersburg, MD 20899 United States version of the English text of the seventh edition (1998) of the International Bureau of Weights and Measures publication Le Systeme International d' Unites (SI), including Supplement 2000: additions et corrections a la 7^ edition (1998) (Supersedes NIST Special Publication 330 1991 Edition) Issued July 2001 U.S. DEPARTMENT OF COMMERCE, Donald L. Evans, Secretary TECHNOLOGY ADMINISTRATION, Karen H. Brown, Acting Under Secretary of Commerce for Technology NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY, Karen H. Brown, Acting Director National Institute of Standards and Technology Special Publication 330, 2001 Edition Natl. Inst. Stand. TechnoL Spec. Publ. 330, 2001 Edition, 75 pages (July 2001) CODEN: NSPUE2 U.S. GOVERNMENT PRINTING OFHCE WASHINGTON: 2001 For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, DC 20402-9325 Foreword The International System of Units, universally abbreviated SI (from the French Le Systeme International Unites), is the modern metric system of measurement. Long the dominant system used in science, the SI is rapidly becoming the dominant measurement system used in international commerce. In recognition of this fact and the increasing global nature of the marketplace, the Omnibus Trade and Competitiveness Act of 1988, which changed the name of the National Bureau of Standards (NBS) to the National Institute of Standards and Technology (NIST) and gave to NIST the added task of helping U.S. industry increase its competitiveness, designates "the metric system of measurement as the preferred system of weights and measures for United States trade and commerce." The definitive international reference on the SI is a booklet published by the International Bureau of Weights and Measures (BIPM, Bureau International des Poids et Mesures) and often referred to as the BIPM SI Brochure. Entitled Le Systeme International d' Unites (SI), the booklet is in French followed by a text in English. This 2001 edition of NIST Special Publication (SP) 330 is the United States version of the English text of the seventh edition of the Brochure (the most current). However, it also incorporates the contents of Supplement 2000: addenda and corrigenda to the 7th edition (1998) [Supplement 2000: additions et corrections d la 7" edition (1998)] published by the BIPM in June 2000. The 2001 edition of NIST SP 330 replaces its immediate predecessor, the 1991 edition, which was based on the sixth edition of the BIPM SI Brochure published in 1991. Like its 1991 predecessor, this edition of NIST SP 330 conforms with the English text in the BIPM SI Brochure but contains a few minor differences to reflect the most recent interpretation of the SI for the United States by the Secretary of Commerce, as published in the Federal Register of July 28, 1998, 63 FR 40334-40340. (The Metric Conversion Act of 1975 gives the Secretary of Commerce the responsibility of interpreting or modifying the SI for use in the United States.) These differences are as follows: (i) The spelling of English words is in accordance with the United States Government Printing Office Style Manual, which follows Webster's Third New International Dictionary rather than the Oxford Dictionary. Thus the spellings "meter," "liter," and "deca" are used rather than "metre," "litre," and "deka" as in the original BIPM English text; (ii) the name of the unit with symbol t and defined according to 1 t = 10^ kg is called "metric ton" rather than "tonne"; (iii) the four units curie, roentgen, rad, and rem are included in Table 8; (iv) a number of "Editor's notes" are added in order to indicate such differences (except spelling differences) and to clarify the text; and (v) a few very minor editorial changes are made in order to "Americanize" some phrases. Because of the importance of the SI to science, technology, and commerce, and because (i) NIST coordinates the Federal Government policy on the conversion to the SI by Federal agencies and on the use of the SI by U.S. industry, (ii) NIST provides official U.S. representation in the various international bodies established by the Meter Convention (see Appendix 3), and (iii) the Secretary of Commerce has delegated his authority to interpret or modify the SI for use in the United States to the NIST Director, NIST provides a number of other sources of information on the SI in addition to NIST SP 330. These include NIST Special Publication 811, Guide for the Use of the International System of Units (SI), by Barry N. Taylor; and NIST Special Publication 814, Interpretation of the SIfor the United States and Metric Conversion Policyfor Federal Agencies, Barry N. Taylor, Editor. Further, NIST SP 330, NIST SP 81 1, the aforementioned 1998 Federal Register notice, the "essentials" of the SI together with useful background information, and links to other organizations involved with the SI, for example, the NIST Metric Program and the BIPM itself, are all available on the Web site entitled "NIST Reference on Constants, Units, and Uncertainty" at physics.nist.gov/cuu. Users of this NIST publication are encouraged to take advantage of these other sources of information. I should like to thank James B. McCracken of the NIST Metric Program, NIST Guest Researcher Ralph P. Hudson, and Use E. Putman of the NIST Electronic Typesetting Group for their highly capable assistance in the preparation of this publication. July, 2001 Barry N. Taylor iv Preface to the 7th edition Since 1970, the Bureau International des Poids et Mesures (BIPM) has now published seven editions of this document. It lists all Resolutions and Recommendations of the Conference Generale des Poids et Mesures (CGPM) and the Comite International des Poids et Mesures (CIPM) relating
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