31980L0181R(02)

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CORRIGENDA

Corrigendum to Council Directive 80/ 18 1 / EEC of 20 December 1979 on the approximation of the laws of the Member States relating to units of measurement and on the repeal of Directive 71 /354 / EEC

(Official Journal of the European Communities No L 39 of 15 February 1980)

Page 43 : the Annex shall be replaced by the following :

ANNEX

CHAPTER I

LEGAL UNITS OF MEASUREMENT REFERRED TO IN ARTICLE 1 (a)

1 . SI UNITS AND THEIR DECIMAL MULTIPLES AND SUBMULTIPLES

1 . 1 . SI base units

Unit Quantity Name Symbol

Length metre m Mass kilogram kg Time second s Electric current ampere A Thermodynamic temperature kelvin K Amount of substance mole mol Luminous intensity candela cd

Definitions of SI base units : Unit of length The metre is the length equal to 1 650 763-73 wavelengths in vacuum of the radiation corres­ ponding to the transition between the levels 2p 10 and 5d5 of the krypton-86 atom . (Eleventh CGPM ( 1960 ), resolution 6).

Unit of mass The kilogram is the unit of mass ; it is equal to the mass of the international prototype of the kilogram . (Third CGPM ( 1901 ), page 70 of the conference report).

Unit of time The second is the duration of 9 192 631 770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom . (Thirteenth CGPM ( 1967), resolution 1 ).

Unit of electric current The ampere is that constant current, which if maintained in two straight parallel conductors of infinite length , of negligible circular cross-section , and placed one metre apart in vacuum , would produce between those conductors a force equal to 2 x 10~' newton per metre of length . ( CIPM ( 1946), resolution 2, approved by the ninth CGPM ( 1948)).

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Unit of thermodynamic temperature The kelvin , unit of thermodynamic temperature, is the fraction 1 / 273-16 of the thermody­ namic temperature of the triple point of water. (Thirteenth CGPM ( 1967), resolution 4). Unit of amount of substance ( 1 ) The mole is the amount of substance of a system which contains as many elementary entities as there are atoms in 0-012 kilogram of carbon 12. (2) When the mole is used, the elementary entities must be specified and may be atoms , molecules, ions, electrons, other particles, or specified groups of such particles . ( Fourteenth CGPM ( 1971 ), resolution 3). Unit of luminous intensity The candela is the luminous intensity, in a given direction , of a source that emits monochro­ matic radiation of frequency of 540 x 10 !: hertz and that has a radiant intensity in that direction of ( 1 /683 ) watt per steradian . (Sixteenth CGPM ( 1979), resolution 3). 1.1.1 . Special name and symbol of the SI unit of temperature for expressing Celsius temperature Unit Quantity Name Symbol

Celsius temperature degree Celsius °C

Celsius temperature t is defined as the difference t = T — T~ between the two ther­ modynamic temperatures T and TQ where T„ = 273-1 5 kelvins. An interval of or difference in temperature .nay be expressed either in kelvins or in degrees Celsius . The unit 'degree Celsius' is equal to the unit ' kelvin '.

1.2 . Other SI units 1.2.1 . SI supplementary units Unit Quantity Name Symbol

Plane angle radian rad Solid angle steradian sr

( Eleventh CGPM, 1960 , resolution 12). Definitions of SI supplementary units : Unit of plane angle The radian is the plane angle between two radii of a circle which cut off on the circumference an arc equal in length to the radius . ( International standard ISO 31-1 , December 1965). Unit of ¡olid angle The steradian is the solid angle which , having its vertex at the centre of a sphere , cuts off an area on the surface of the sphere equal to that of a square with sides of length equal to the radius of the sphere . ( International standard ISO 31-1, December 1965).

1.2.2 . SI derived units Units derived coherently from SI base units and SI supplementary units are given as algebraic expressions in the form of products of powers of the SI base units and/or SI supplementary units with a numerical factor equal to 1 .

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1.2.3 . SI derived units having names and symbols Unit Expression Quantity In terms of SI base In other Name Symbol SI units or supplementary units Frequency hertz Hz s—1 Force newton N m · kg ■ s—2 Pressure , stress pascal Pa N - m—2 m-1 · kg · s—2 Energy, work ; quantity of heat joule J N-tn m 2 ■ kg ■ s—2 Power ('), radiant flux watt W J - s-1 m 2 · kg · s—3 Quantity of electricity, electric charge coulomb C s · A Electric potential, potential difference, electromotive force volt V W - A-' m 2 · kg · s- ' · A—1 Electric resistance ohm Ω V - A- 1 m 2 ■ kg · s-' ■ A—2 Conductance siemens S A - V- 1 m —2 · kg—1 · s 3 · A2 Capacitance farad F C v- 1 m—2 · kg-' · s4 · A2 Magnetic flux weber Wb V-s m 2 · kg ■ s—2 · A—1 Magnetic flux density tesla T Wb-m-2 kg ■ s—2 · A-1 Inductance henry H Wb · A- 1 m 2 · kg · s—2 · A—2 Luminous flux lumen lm cd - sr Illuminance lux lx lm · m—2 m —2 · cd · sr Activity (of a radionuclide) becquerel Bq s—1 Absorbed dose, specific energy imparted, kerma, absorbed dose index gray Gy J-kg ' m 2 · s-2 Dose equivalent sievert Sv j kg- 1 m 2 · s—2 (') Special names for the unit of power : the name volt-ampere (symbol 'VA ) when it is used to express the apparent power of alternating electric current, and var (symbol 'var') when it is used to express reactive electric power. The 'var' is not included in CGPM resolutions. Units derived from SI base units or supplementary units may be expressed in terms of the units listed in Chapter I. In particular, SI derived units may be expressed by the special names and symbols given in the above table ; for example, the SI unit of dynamic viscosity may be expressed as m — ! • kg • s— " or N • s ■ m-2 or Pa • s . 1.3 . Prefixes and their symbols used to designate certain decimal multiples and sub­ multiples Factor Prefix Symbol Factor Prefix Symbol

IO ' 8 exa E i o- 1 deci d 10 " peta P i o - 2 centi c IO 12 tera T 10 -' milli m 10 ' giga G 10-6 micro μ IO 6 mega M 10-' nano n 10 ' kilo k 10 - 12 pico P IO 2 hecto h 10 -" femto f 10 ' deca da j o- i.« atto a

The names and symbols of the decimal multiples and submultiples of the unit of mass are formed by attaching prefixes to the word 'gram ' and their symbols to the symbol 'g'. Where a derived unit is expressed as a fraction, its decimal multiples and submultiples may be designated by attaching a prefix to units in the numerator or the denominator, or in both these parts . Compound prefixes, that is to say prefixes formed by the juxtaposition of several of the above prefixes, may not be used .

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1.4. Special authorized names and symbols of decimal multiples and submultiples of SI units Unit Quantity Name Symbol Value Volume litre 1 or L (') 11 = 1 dm 1 = 1 0-3 m 1 Mass tonne t 1 t = 1 Mg = 1 03 kg Pressure, stress bar bar (2) 1 bar = 1 0 5 Pa (') The two symbols '1' and 'L may be used for the litre unit. (Sixteenth CGPM ( 1979), resolution 6). (2) Unit listed in the International Bureau of weights and Measures booklet as among the units to be permitted temporarily .

Note : The prefixes and their symbols listed in 1 .3 may be used in conjunction with the units and symbols contained in Table 1.4. 2 . UNITS WHICH ARE DEFINED ON THE BASIS OF SI UNITS BUT ARE NOT DECIMAL MULTIPLES OR SUBMULTIPLES THEREOF

Unit Quantity Name Symbol Value Plane angle revolution* (') (a) 1 revolution = 2 π rad grade* or gon* gon* 1 gon = —— rad 200 degree 1° = -IL rad 180 minute of angle Γ - π rad 10 800 second of angle 1 " = 71 rad 648 000

Time minute min 1 min = 60 s hour h 1 h = 3 600 s day d 1 d = 86 400 s

(') The character (*) after a unit name or symbol indicates that it does not appear in the lists drawn up by the CGPM, CIPM or BIPM . This applies to the whole of this Annex. (a) No international symbol exists .

Note : The prefixes listed in 1.3 may only be used in conjunction with the names 'grade or 'gon ' and the symbol 'gon '. 3 . UNITS DEFINED INDEPENDENTLY OF THE SEVEN SI BASE UNITS The unified atomic mass unit is one-twelfth of the mass of an atom of the nuclide 12 C. The electronvolt is the kinetic energy acquired by an electron passing in a vacuum from one point to another whose potential is one volt higher.

Unit Quantity Name Symbol Value Mass unifed atomic mass unit u 1 u « 1 -660 565 5 x 1 0-27 kg Energy electronvolt eV leV « 1-602 189 2 x IO-' 9 J

The value of these units, expressed in SI units, is not known exactly. The above values are taken from CODATA Bulletin No 11 of December 1973 of the International Council of Scientific Unions . Note : The prefixes and their symbols listed in 1.3 may be used in conjunction with these two units and with their symbols .

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4 . UNITS AND NAMES OF UNITS PERMITTED IN SPECIALIZED FIELDS ONLY

Unit Quantity Name Symbol Value

Vergency of optical systems dioptre" 1 dioptre = 1 m-1 Mass of precious stones metric carat 1 metric carat = 2 x lO-^ kg Area of farmland and building land are a 1 a = 1 02 m 2 Mass per unit length of textile yarns and threads tex" tex* 1 tex = 1 0-* kg ■ m-1

Note : The prefixes listed in 1 .3 may be used in conjunction with the above units. The multiple 1 0 2 a is, however, called a 'hectare'.

5 . COMPOUND UNITS Combinations of the units listed in Chapter I form compound units.

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CHAPTER II

LEGAL UNITS OF MEASUREMENT REFERRED TO IN ARTICLE 1 (b)

QUANTITIES, NAMES OF UNITS, SYMBOLS AND VALUES

Unit Quantity Name Symbol Value

Blood pressure millimetre of mm HgO 1 mm Hg = 133-322 Pa mercury (*) Plane angle g ' C ) 1 « = —Í— rad 200 Activity (of a radionuclide) curie Ci 1 Ci = 3-7 x IO 10 Bq Absorbed dose rad rad (2) 1 rad = IO-2 Gy Dose equivalent rem * rem * 1 rem = IO-2 Sv Exposure (X and γ rays) röntgen R 1 R = 2-58 · IO-4 C · kg- 1 Dynamic viscosity poise P 1 P = 10-' Pa s Kinematic viscosity stokes St 1 St = IO-4 m 2 · s-1

(') Symbol for 'grade . (2) When there is risk of confusion with the symbol for radian , rd may be used as symbol for rad .

Note The prefixes and their symbols listed in 1 .3 of Chapter I may be used in conjunction with the units and symbols contained in this section , with the exception of millimetre of mercury and its symbol and the symbol 'g'.

Until the date indicated in Article 1 (b), the units listed in Chapter II may be combined with each other or with those in Chapter I to form compound units .

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CHAPTER III

LEGAL UNITS OF MEASUREMENT REFERRED TO IN ARTICLE 1 (c)

QUANTITIES, NAMES OF UNITS, SYMBOLS AND APPROXIMATE VALUES

Length inch 1 in = 2-54 x 1 0-2 m foot 1 ft = 0-3048 m fathom (') 1 fm 1-829 m mile 1 mile = 1 609 m = 0-9144 m yard 1 yard Area = 0-929 x 1 0" 1 m 2 square foot 1 sq ft acre 1 ac = 4 047 m 2 = 0-8361 m 2 square yard 1 sq yd Volume fluid ounce 1 fl oz = 28-41 x 10~6 m 3 = 0-1421 x 1 0-3 m 3 gill 1 gill = 0-5683 x 10-3 m 3 pint 1 pt = 1-137 x 10-3 m ' quart 1 qt = 4-546 x 1 0-3 m 3 gallon 1 gal Mass 1 oz = 28-35 x 10— 3 kg ounce (avoirdupois) troy ounce 1 oz tr = 31-10 x 10-3 kg 1 lb = pound 0-4536 kg Energy therm 1 therm = 105-506 x 106 J

(') For marine navigation only .

Until the date to be fixed under Article 1 (c), the units listed in Chapter III may be combined with each other or with those in Chapter I to form compound units .