is 10005 1994 iso 1000 1992 si units and recommendations for the use of their multiples and of...

IS looo5: 1994 -I!50 looo: 1992

Indian Sta~ndard SI UNITS AND RECOMMENDATIONS FOR THE USE OF THEIR MULTIPLES AND OF CERTAIN

OTHER UNITS (Second Revision)

UDC 006.057.5

Q BIS 1994

BU-REAU OF IN~DIAN STA~NDARDS MANAK BHAVAN, 9 BAHADUR SHAH ZAFAR MARG

NEW DELHI 110002

November 1994 Price Group 9

Basic Standards Sectional Committee, MSD 1

NATIONAL FOREWORD

This Indian Standard (Second Revision) which is identical with IS0 1000 : 1992 ‘SI units and recommendations for the use of their multiples and of certain other units’, issued by the International Organization for Standardization (ISO), was adopted by the Bureau of Indian Standards on the recommendation of the Basic Standards Sectional Committee (MSD 1) and approval of the Management and Systems Division Council.

The text of the IS0 Standard has been approved as suitable for publication as Indian Standard without deviations. Certain conventions are, however, not identical to those used in Indian Standards. Attention is particularly drawn to the-following:

a) Comma ( , ) has been used as a decimal marker while in Indian Standards the current practice is to use full point ( ) as the decimal marker.

b) Wherever the words ‘International Standard’ appear referring to this standard, they should be read as ‘Indian Standard’.

This standard was first published in 1980 and then revised in 1985.

In this second revision, the following changes have been made:

a) Quantities and units from IS 1890 (Parts 9, 10, 12, and 13)/ISO 31 (Parts 9, 10, 12 and 13) have been added to Annex A (Normative) giving examples of decimal multiples and sub- multiples of SI units and of some other units which may be used. A cross reference to the item numbers of relevant standard has been made.

b) The old definition of ‘metre’ in Annex B has been replaced by new definition.

c) The decision by International Committee for Weights and Measures (CIPM) in 1980 concerning the status of supplementary units has been incorporated.

In the adopted standard, normative references appear to certain International Standards for which Indian Standards also exist. The corresponding Indian Standards which are to be substituted in their place are listed below along with their degree of equivalence for the editions indicated:

In terna tional Standard

IEC 27-l : 1971

IS0 31-l : 1992

IS0 31-2 : 1992

IS0 31-3 : 1992

IS0 31-4 : 1992

IS0 31-5 : 1992

Corresponding Indian Standard

IS 3722 (Part 1) : 1983 Letter symbols and signs used in electric technology : Part 1 General guidance on symbols and subscripts (first revision)

IS 1890 (Part 1) : 1994 Quantities and units: Part 1 Space and time (first revision)

IS 1890 (Part 2) : 1994 Quantitiesand units: Part 2 Periodic and related phenomena (second revision)

IS 1890 (Part 3) : 1994 Quantities and units: Part 3 Mechanics (second revision)

IS 1890 (Part 4) : 1982’) Quantities, units and symbols: Part 4 Heat (first revision)

IS 1890 (Part 5) : 1994 Quantities and units: Part 5 Electricity and magnetism (first revision)

Degree of Equivalence

Technically equivalent

Identical

Identical

Identical


Identical

I) Under Revision

(Continued on third cover)

IS 10005: 1994 IS0 1000:1992

Indian Standard SI UNITS AND RECOMMENDATI.ONS FOR~THE USE OF THEIR IViJLTlPLES AND OF CERTAIN

OTHER UNITS (Second Revision)

1 Scope

This International Standard

a)

b)

describes the International System of Units’) (in clauses 3, 4 and 6);

recommends selected decimal multiples and sub- multiples of St units for general use and gives certain other units which may be used with the International System of Units (in clauses 5 and 7, and annex A);

quotes the definitions of the SI base units (in annex B).

Normative reference

The following standard contains provisions which, through reference in this text, constitute provisions of this International Standard. At the time of publication, the edition indicated was valid. All standards are subject to revision, and parties to agreements based on this International Standard are encouraged to in- vestigate the possibility of applying the most recent edition of the standard indicated below. Members of

IEC and IS0 maintain registers of currently valid International Standards.

IEC 27-l :1971,2) Letter symbols to be used in elec- trical technology - Part 1: General

3 SI units

The name International System of Units (Systeme International d’unites), with the international abbrevi- ation SI, was adopted by the 11 th General Conference on Weights and Measures (Conference G&kale des Poids et Mesures, CGPM) in 1960.

This system includes:

- base units

- derived units including supplementary units

which together form the coherent system of SI units.

3.1 Base wits

The International System of Units is based on the seven base units listed in table 1.

1) Full InformatIon about the lnrernational System of Units IS given in a publication by the InternatIonal Bureau of Weights ana Measures (Bureau lnternationai des Poids et Mesures, BIPM): Le Sysr&ne lnremarional d’lJnir6s (SO, irkluding an authorized English transiation.

2) 5th edition. currently being revised.

1

IS looo5: 1994 IS0 MOO : 1992

Table 1 - SI base units

SI base unit Base quantity

Name Symbol

length metre m

mass kilogram kg

time second S

electric current ampere A

thermodynamic kelvin K temperature

amount of substance mole mol

luminous intensity candela cd

For the definitions of the base units, see annex 6.

~3.2 Derived units including supplementary units

Derived units are expressed algebraically in terms of base units. Their symbols are obtained by means of the mathematical signs of multiplication and division; for example, the SI unit for velocity is metre per second (m/s).

For some of the SI derived units, special names and symbols exist; those approved by the CGPM are listed in tables 2 and 3.

The SI units radian and steradian are called supplementary units. They are “dimensionless“ derived units (more precisely, derived units of dimension one) with special names and symbols. Although the coherent unit for plane angle and for solid angle is expressed by the number 1, it is convenient to use the special names radian (rad) and steradian (sr) respec-

tively instead of the number 1 in many practical cases; for example the SI unit for angutar velocity can be written as radian per second (rad/s).

It may sometimes be useful to express derived units in terms of other derived units having special names; for example, the SI unit for electric dipole moment is usually expressed as C - m instead of A. s - m.

4 Multiples of SI units

The prefixes given in table4 are used to form names and symbols of multiples (decimal multiples and sub- multiples) of the SI units.

The symbol of a prefix is considered to be combined with the kernel symbol” to which it is directly attached, forming with it a new symbol (for a decimal multiple or sub-multiple) which can be raised to a positive or negative power, and which can be combined with other unit symbols to form symbols for compound units.

EXAMPLES

= (JO-* m)3 = 10b6m3

1 ps-’ z (lo-6s)-’ = 106s-’

1 mm*/s = (10m3 m)*/s = lo-” m*/s

Compound prefixes shall not be used; for example, write nm for nanometre, not mFm.

NOTE 1 For historical reasons the name of the base unit for mass, the kilogram, contains the name of the SI prefix “kilo”. Names of the decimal multiples and sub-multiples Df the unit of mass are formed by adding the prefixes to the word “gram”, e.g. milligram (mg) instead of microkilogram

Mg).

3) In this case, the term “kernel symbol” means only a symbol for a base unit or a derived unit with a special name. See, however, note 1 in clause 4 about the base unit the kilogram.

2

IS 10005 : 1994

IS0 1000: 1992

Table 2 - SI derived units with special names, including SI supplementary units

SI derived unit

Derived quantity Spatial name Symbol

Expressed in terms of SI base units and St derived units

plane angle

solid angle

frequency

force

pressure, stress

radian rad

steradian sr

hertz Hz

newton N

Pascal Pa

1 rad = 1 m/m = 1

1 sr=l m2/m2=1

1 Hz = 1 s-l

1 N = 1 kg - m/s2

1 Pa = 1 N/m2

energy. joule J 1 J=l N-m work, quantity of heat

power, watt W 1 W = 1 J/s radiant flux

electric charge, coulomb C 1 C=l A-s quantity of electricity

eiectric potential, volt V 1 V=l W/A potential difference, tension, electromotive force

capacitance farad F 1 F=l C/V

electric resistance ohm a 1 Q = 1 V/A

electric conductance siemens S 1 s = 1 a-’

magnetic flux weber Wb 1 Wb=l V.s

magnetic flux density tesla T 1 T=l Wb/m2

inductance henry H 1 H = 1 Wb/A

Celsius temperature degree Celsiusl) “C 1 “CF~ K

luminous flux lumen Im 1 Im = 1 cd a sr

illuminance lux IX 1 lx = 1 lm/m2

1) Degree Celsius is a special name for the unit kelvin for use in stating values of Celsius temperature. (See also note6 concerning the kelvin in annex B.)

3

IS 19905 : 1994 IS0 1000: 1992

Table 3 - SI derived units with special names admitted for reasons of safeguarding human health I

.Derived quantity

SI derived unit

Special name Symbol Expressed in tarms of SI base units

and SI derived units

activity (of a radionuclide)

absorbed dose, specific energy imparted, kerma, absorbed dose index

becquerel

gray

Bq

GY

1 Bq = 1 s-’

1 Gy = 1 J/kg

dose equivalent, dose equivalent index

sievert sv 1 Sv = 1 J/kg

Table 4 - Sl prefixes

PWfiX Factor

Name Symbol

yotta Y zetta 2

1018 exa E 1o15 peta P

lOI2 tera T

log giga G lo6 mega M

lo3 kilo k

lo2 hecto h 10 deca da 10-l deci d lo-* centi. C

1o-3 milli m 1o-6 micro

‘Or:*

CI nano n

10 pica P

lo-l5 femto f 1 o-l8 atto a lo-*’ zepto 2 1o-24 yocto Y

5 Use of SI units and their multiples

5.1 The choice of the appropriate multiple (decimal multiple or sub-multiple) of an SI unit is governed by convenience, the multiple chosen for a particular- ap- plication being the one which will lead to numerical values within a practical range.

5.2 The multiple can usually be chosen so that the numerical values will be between 0,l and 1 000. In the case of a compound unit containing a unit to the second or third power, this is not always possible.

EXAMPLES

I,2 x lo4 N can be written as 12 kN

0,003 94 m can be written as 3,94 mm

1 401 Pa can be written as 1,401 kPa

3,l x 10-8s can be written as 31 ns

However, in a table of values of the same quantity or in a discussion of such values within a given context, it will generally be better to use the same multiple for all items, even if some of the numerical values will then be outside the range 0,l to 1 000. For certain quantities in particular applications, the same multiple is customarily used; for example, the millimetre is used for dimensions in most mechanical engineering drawings.

5.3 The number ~of prefixes used in formrng compound units should be limited as far as is compatible with practical usage.

5.4 Errors in calculations can be avoided more easrly if all quantities are expressed in SI units, powers of 10 being used instead of prefixes.

6 Rules for writing unit symbols

6.1 Unit symbols shall be printed in roman (upright) type (irrespective of the type used in the rest of the text), shall remain unaltered in the plural, shail be written without a final full stop (period) except for normal punctuation, e.g. at the end of a sentence, and shall be placed after the complete numerical value in

4

IS 10005 : 1994 IS0 1uw: 1992

the expression for a quantity, leaving a space be- 7 tween the numerical value and the unit symbol,

Non-S1 units which may be used with SI units and their multiples

Unit symbols shall in general be written in lower case letters except that the first letter is written in upper case when the name .of the unit is derived from a proper name.

7.1 There are certain units, outside the SI, recognized by the CIPM as having to be retained because of their practical importance (see tables 5 and 6).

EXAMPLES

m metre

S second

A ampere

Wb weber

7.2 Prefixes given in table4 may be attached to some of the units given in tables 5 and 6; for example, millilitre, ml. (See also annex A, column 6.)

7.3 In a limited number of cases, compound units are formed with the units given in tables 5 and 6 together with SI units and their multiples; for example, kg/h; km/h. (See also annex A, columns 5 and 6.)

6.2 When a compound unit is formed by multiplication of two or more units, this should be indicated in one of the following ways:

N-m, Nm

NOT5 ,

2 In systems with limited character sets a dot on the line is used instead of a half-high dot.

3 The latter form may also be written without a space, provided that special care is taken when the symbol for one of the units is the same as the symbol for a prefix, e.g. mN is used only for millinewton, not for metre newton.

When a compound unit is formed by dividing one unit by another, this should be indicated in one of the following ways:

m S’ m/s, m - s-l.

A solidus (/) shall not be followed by a multiplication sign or a division sign on the same line unless parentheses are inserted to avoid any ambiguity. In complicated cases negative powers or parentheses shall be used.

NOTE 4 There are some other units outside the SI which are recognized by the CIPM for temporary use. They are given in column 7 of the table in annex A and marked by an asterisk (*).

Table 5 - Units used with the SI

Unit Quantity

Name Symbol Definition

:ime minute min 1 min = 60 s

hour h 1 h = 60 min

day d 1 d=24h

olane angle degree ’ I0 = (x/l 80) rad

minute ’ I’ = (l/60)

second ” 1 ” = (l/60)

volume litre I, L’) 1 I=1 dm3

mass tonnes) t 1 t=103kg

1) The two symbols for the litre are on an equal footing. The CIPM will, however, make a survey on the development of the use of the two symbols in order to see if one of the two may be sup- pressed.

2) Also called the metric ton in the English lan- guage.

-

5

IS 10005: 1994 IS0 1000 : 1992

Table 6 - Units used with the SI, whose values in SI units are obtained experimentally

Quantity

energy

mass

Name

electronvolt

unified atomic mass unit

Unit

Symbol Definition

eV The electronvolt is the kinetic energy acquired by an electron in passing through a potential difference of 1 volt in vacuum: 1 eV 2: 1,602 177 x lo-“J.

U The unified atomic mass unit is equal to l/12 of the mass of an atom of the nuclide ‘*C:

I 1 u z 1,660 540 x lo-*’ kg.

6

IS 10005: 1994

IS0 1000 : 1992

Annex A

Examples of -decimal multiples and sub-multiples of SI units and of some

(normative)

other units which may be used

For a number of commonly used quantities, examples of decimal multiples and sub-multiples of SI units, as well as of some other units which may be used, are given in this annex. It is suggested that the selection shown, while not intended to be restrictive, will none the less prove helpful in presenting values of quantities in an identical manner in similar contexts within the various sectors of technology. For some needs (for example, in applications in science and education), it is recognized that greater freedom will be required in the choice of decimal multiples and sub-multiples of SI units than is exemplified in the list which follows.

Item No. In IS0 31:

1992

Units outsido the SI recognized Selection by the ClPM as having to be

of retained, and for spocisl cases multiples some of their combina-tlons with

Quantity SI unit and sub- SI units Remarks and information about

multiples of the SI

Multiples or units used in special fields

unit Units sub-multiples of units -given in

column 5

1 2 3 4 ‘5 5 7

Part 1: Space and time

- 1-l angle, b rad (plane angle) (radian)

gon [gon (;r grade)], 1 gon=---

200 rad

0 If the radian is not used, the cnits (degree) degree or gon (or grade) may be 1” -“cad used. Decimal subdivisions of

180 mrad

degrea are preferable to minute , and second for most applications.

(minute) For the units degree, minute and

lL-& second for plane angle, there shall be no space between the

I, numerical value and the unit

(secon:~ symbol.

1 ” e- 60

prad

1-2 solid angle Eteradian)

l-3.1 length km 1 nautical mile* = 1 852 m

Retre) (exactly)

cm mm

* pm

Recognized by the CIPM for

nm temporary use.

K

7

IS loo05 : 1994 IS0 1000: 1992

Units outside the SI recognized

Selection by the CIPM es having to be

of retained, and for special cases

ltom No. multiples some of their combinations with

in IS0 31: Quantity SI unit end eub- SI units Remarks and information about

1992 multlples Multlples or units used in special fields

ofthrSI unit Units

sub-multiples of units given in

column 5 -

‘1 2 3 4 6 6 7

I-4 area km2 m2

ha* (hectare), 1 ha = lo4 m2

dm2 a* (are), 1 a = lo2 m2

cm2 mm2

l Recognized by the CIPM for temporary use.

t-5 volume m3 In 1964, the CGPM declared that hi 1 hl = IO-’ m3

the name litre (I) may be used as

dm3 a special name for the cubic

I, L decimetre (dm3) and advised (litre) against the use of the name litre 1 I= 10V3m3=

for high-precision measure- ments.

1 dm3 cl 1 cl E 10T5 m3

See also footnote 1) to table 5.

cm3 ml 1 ml = 10m6 m3 = 1 cm3

mm3

l-7 time

Gecond)

ks

ms c1s ns

d (day) 1 d=24h (exactly) h (hour) 1 h = 60 min (exactly)

min (minute) 1 min = 60 s (exactly)

Other units such as week, month and year (a) are in common use. The definitions of month and year often need to be specified.

l-8 angular velocity

rad/s

I-10 velocity m/s km/h 1 km/h =

l-11.1 accteleration m/s2

mm/h & m/s

1 knot* = 1,852 km/h (exactly) = 0,514 444 m/s

’ For the hour, see item No. 1-7.


8

IS 10905: 1994

IS0 1000: 1992

Item No. in IS0 31:

1992 Quantity SI unit


Selection by the CIPM as having to be


multiples some of their combinations with

and sub- SI units Remarks and information about

multiples Multiples or units used-in special fields

of the SI unit Units


column 5

1 2 3 4

Part 2: Periodic and related phenomena

2-3.1 frequency THz GHz MHz kHz

HZ (hertz)

2-3.2 rotational S -1

frequency

2-4 angular rad/s frequency

5

min-’

6 7

The designations “revolutions per minute” (r/min) and “revolutions per second” (r/s) are widely used for rotational frequency in specifications on rotat- ing machinery. (See also IEC 27-l .) For the minute, see item l-7.

Part 3: Mechanics

3-1

3-2

3-5

3-7

mass Mg t See footnote 2) to table 5. (tonne) 1 t=103kg

kg (kilogram)

g mg Pg

volumic Mg/m3 or kg/dm3

t/m3 or kg/l g/ml For the litre, see item No. l-6. mass,

density,

kg/m3

or g/cm3 For the tonne, see item No. 3-1.

mass density g/f

lineic mass, kg/m 1 tex = IO-’ kg/m = 1 g/km linear density mglm

The unit tex is used for textile’ filaments.

moment of kg-m’ inertia

3-8

38.1

momentum

force

- kg - m/s

MN kN

N (newton)

mN

PN

9

IS iow5 : 1994

Is0 1000: 1992

Units outside the Si recognized

Selection by the CIPM as heving to be


Item No. multiples some of their combinations with

in IS0 31: Quantity SI unit and sub- SI units Remarks and information about

1992 multiples Multiples or units used in special fields


sub-multiples of unlts given in

column 5

-1 2 3 4 5 6 7

3-l 1 moment of kg - m*/s momentum,

angular momentum

3-12.1

3-15.1

3-15.2

moment of MN.m

force kN . m N.m

mN-m PN B m

pressure GPa bar* (bar), 1 bar = 100 kPa MPa (exactly) kPa hPa 1 mbar = 1 hPa

Pa (Pascal)

The use of the bar shall be re-

mPa stricted to existing uses in the

PPa field of fluid pressure.


normal stress GPa MPa kPa

Pa

3-23 viscosity, (dynamic

viscosity)

Pa . s mPa.s

P (poise) 1 cP= 1 mPa.s

The poise and stokes are special names for CGS units. They and their multiples and sub-multiples shall not be used together with SI units.

3-24 kinematic viscosity

m2/s mm*/s

St (stokes) 1 cSt = 1 mm*/s

See remark on item 3-23.

3-25 surface N/m tension mN/m

3-26.1 and 3-26.2

energy. work

EJ PJ TJ GJ MJ kJ

J (joule)

mJ

lb

IS looo!5: 1994 IS0 1990 : 1992

ltom No. n IS0 21: Quantity

1992

1 2

l-27 power

‘art 4~ Heat

Units outsido the SI recognized §hction by the CIPM as having to be

of rotalnod, and for special cases multiples some of their combinations with

Si unit and sub- SI units Romrrks and information about multiples Multiploa or

units uwd in specirl fields OfthoSl

unit Unit8 rub-multiplesof units *on in

column 6 3 4 S 6 7

GW MW kW

W (watt)

mW PW

l-1 thermo- K dynamic (kelvin) temperature

I-2 Celsius “C temperature (degree

Celsius)

The Celsius temperature-r is equal to the difference (T - TO) between two thermodynamic

I temperatures T and To, where To =-273.15 K (exactly).

I l-3.1 linear

expansion coefficient

K-l

For the definition and the use of the degree Celsius (“C), see note6 under the definition of the kelvin in annex B.

For the degree Celsius, see item 4-2.

66

67

heat EJ PJ TJ GJ MJ kJ

J mJ

heat flow rate kW W

4-9

618.1

4-11

Cl6

thermal W/(m 8 Kl For the degree Celsius, see item conductivity 4-2.

coefficient W/(m2 - K) For the degree Celsius, see item of heat 4-2. transfer

thermal m2. K/W For the degree Celsius, see item insulance 4-2.

heat capacity kJ/K For the degree Celsius, see item J/K 4-2.

11

IS 10005 : 1994 IS0 1000: 1992

item No. n IS0 31:

1992 Ouantity Si unit


Selection by the CiPM as having to be



and sub- St units Remarks and information about

multiples Muitipies or units used in special fields

of the Si unit Units

rub-multiples of units given in

column 5

1 2 3 4 5 6 7

I-16.1 massic heat kJ/(kg - K) For the degree Celsius, see item capacity J/M - K) 4-2.

I-16

619

entropy

massic entropy

J/K

J/M - K)

kJ/K

kJ/(kg . K)



1-21.2 massic thermodynamic energy

J/kg

‘art 5: Electricity and magnetism

i-l electric current

kA A (ampere)

mA PA nA PA

5-2

5-3 k

6-4

electric charge,

quantity of electricity

volumic charge,

volume density of charge,

charge density

areic charge, surface

density of charge

A-h For the hour, see item No. l-7. 1 A-h- 3,6 kC

kC C (coulomb)

ClC nC PC

C/mm3 or GC/m3

MC/m3 or C/cm3

kc/m3 C/m3

mC/m3 PC/m3

MC/m’ or C/mm’

C/cm2

C/m2 kc/m2

mC/m2 PC/m’

12

IS 10005:1994 IS0 1000:1992




item No. multiples some of their combinations with

in IS0 31: Quantity SI unit and sub- SI units Remerks and information ebout

1992 multiples of the SI

Multiples or units-used in special fields

unit Units sub-multiples of units given in

column 5

1 2 3 4 5 6 7

5-5 electric field MV/m strength kV/m or

V/mm V/cm

V/m mV/m Hm

5-6.1 electric MV ’ potential kV

V 5-6.2 potential (volt)

difference, mV tension IJJ

5-6.3 electromotive force

5-7

5-8

5-9

5-10.1

5-13

5-14

electric flux density

C/m*

electric flux

C

capacitance F (farad)

permittivity F/m

electric polarization

C/m2

electric dipole C - m moment

C/cm* kc/m*

mC/m* G/m*

MC kC

mC

mF PF nF PF

pF/m nF/m pF/m

C/cm* kc/m*

mC/m* G/m*

.

.

i

IS 10005:1994 IS0 1000:1992

Item No. in IS0 31:

1992 Quentity

Units outsidr the SI recognized

Selection by the CIPM as heving to be



SI unit andsub- SI units Remarks and~lnformetion about

multiples Multiples or units used in special fields

ofthesl unit Units


column 5

1

5-15

2 3 4 5 6 7

areic electric MA/m2 or current, A/mm2

electric A/cm2 current

A/m2 kA/m2

density

5-16 lineic electric kA/m or current, A/mm ’

linear electric A/cm current A/m density

5-17 magnetic field strength

A/m

kA/m or A/mm

A/cm

5-18.1 magnetic potential difference

A kA

mA

5-19 magnetic flux T density, (tesla)

magnetic induction

mT PT nT

5-20 magnetic flux Wb (weber)

mWb

5-21

522.1

5-22.2

5-24

5-27

magnetic vector potential

self- inductance

mutual inductance

permeability

magnetic moment,

electromagnetic moment

Wb/m

H (henn/)

H/m

A-m’

kWb/m

gblmm

mH VH nH PH

PHjm nH/m

14

IS 10005: 1994 IS0 1000 : 1992


Selection by the ClPM as having to be

of retainad, and for special cases

Item No. multiples some of their combinations with

n IS0 31: Quantity SI unit and sub- SI units Remarks and information about



sub-multiples of unlts given in

column 5

1 2 3 4 5 5 7

i-20 magnetization kA/m or A/mm

A/m

i-29 magnetic T polarization mT

IEC magnetic N - m*/A !7-1:1971, dipole tern 88) moment &b-m

i-33 resistance (to GCI direct MCI current) kn

Ehm) mTL w

i-34 conductance kS (of direct S current) (siemens)

mS PS

j-38 resistivity Gf2.m n-mm* Mn.m

ii-_.(= lo-“n.m =pn.rr

kf2.m is also used. a-m

R-cm ma-m paam Warn

5-37 conductivity MS/m kS/m

S/m

5-38 reluctance H--l

5-39 permeance H

5-44.1 impedance, MQ (complex kn

impedance) SL mn

5-44.2 modulus of impedance,

(impedance)

544.3

5-44.4

resistance

reactance

15

IS 10005:1994 IS0 -1000:1992

Item No. n IS0 31:



Selaction by the CIPM as having to ba

of ratainrd, and for spatial cases



multiplas Multiples or units used in special fields

of-the SI unit Units


column 5

1 2 3 4 5 5 7

-45.1 admittance, kS (complex S

admittance) mS

ClS i-45.2 modulus of

admittance, (admittance)

i-45.3

i-45.4

i-49

conductance

susceptance

active power TW In electric power technology, ac- GW tive power is expressed in watts MW (W), apparent power in volt am- kW Peres (V - A) and reactive power

W in vars (var). mW

CIW nW

i-52 active energy TW.h For the hour, see item l-7. GW-h

TJ MW-h

GJ kW.h

MJ W-h 1 W.h= 3,6 kJ (exactly)

kJ J

#art 6: Light and related electromagnetic radiations

i-3 wavelength m

pm nm

pm

6-7 radiant J energy

A* (angstrom), I A = IO-‘~ m = IO-’ nm = 10e4 pm


6-10 radiant W power,

radiant , energy flux

6-13 radiant intensity

W/sr

16

IS 10005:1994 IS0 1000:1992


Selection by the CiPM es heving to be


item No. multiples some of their combinatfons with

n IS0 31: Quantity Si unit and sub- SI units Remarks and information about


Multiples or units used in special fields

unit Units sub-multiples of units given in

column 5

1 2 3 4 5 6 7

b14 radiance W/(sr - m*)

i-15 radiant W/m* exitance

i-16

i-29

i-30

S-31

6-32

6-33

irradiance W/m*

luminous cd intensity (candela)

luminous flux Im (lumen)

quantity of light

Im - s

luminance cd/m*

luminous lm/m* exitance

Im - h 1 Im-h= 3 600 Im . s (exactly)

For the hour, see item 1-7.

6-34

6-35

illuminance

light exposure

lx

(lux)

lx * s

636.1 luminous efficacy

lm/W

Part 7: Acoustics

7-l period, s periodic time ms

Ps

7-2 frequency MHz kHz

HZ

7-5 wavelength m mm

7-6 volumic kg/m3 mass,

mass density, density

IS 10005 : 1994 IS0 1000 : 1992

Units outside the Slrecognizrd

Selection by the CIPM as having to~be

of retained, end for special cases

Hem No. multiples some of their combinations with

n IS0 31: Quantity SI unit end rub- SI units Remarks and Information about


Multiples or units used In special fields

unit Units sub-multiples of

units given in column 5

1 2 -3 4 5 6 7

‘-9.1 static Pa pressure mPa

PPa r-9.2 (instantaneous)

sound pressure

r-11 (i;;;;Tneous) m/s

particle velocity

mm/s

r-13 (instantaneous) m3/.s volume flow rate

r-14.1 velocity of sound

mls

1-16

r-17

7-18

sound power kW W

mW

FW PW

sound W/m* intensity mW/m*

pW/m* pW/m*

acoustic Pa m s/m3 impedance

.

mechanical impedance

surface _ density of mechanical impedance

N - s/m

Pa - s/m

dB.(decibel), 1 dB = 10-l B

IS 10005 : 1994 IS0 1000 : 1992




item No. multiples some of their combinations with

in IS0 31: Quantity SI unit and sub- SI units Remarks and information about




column 5

1 2 3 4 5 Q 7

7-28 sound B reduction dB index

7-29 equivalent absorption area of a surface or object

m2

7-30 reverberation s time

Pati 8: Physical chemistry and molecular physics

8-7 molar thermodynamic energy

J/mol kJ/mol

8-8

8-9

813

molar heat J/(mol - K) For the degree Celsius, see item capacity 4-2.

molar entropy J/(mol - K) For the degree Celsius, see item 4-2.

concentration mol/dm3 mol/l For the litre, see item l-8. of 8, or

amount-of- kmol/m3 substance mol/m3 concentration of B

8-18

8-39

molality of solute B

diffusion coefficient

mol/kg

m*/s

mmol/kg

19

IS 10005 : 1994 IS0 1000 : 1992

tern No. 1 IS0 31:



Selection by the CPM as having to be





of the SI unit Unlts


column 5

1 2 3 4 5 0 7

-41 thermal m2/s diffusion coefficient

‘art 9: Atomic and nuclear physics

I-28.2 mass defect kg

tnified atomic mass unit),

1 uz 1,660 540 x IO-” kg

1-33 activity

Bq

MBq kBq

Ci+ (curie), 1 Ci = 3.7 x IO” Bq (exactly)


b-34 massic activity,

specific activity

Bqlkg

MBq/kg kBq/kg

j-37 half-life

S

ms

d h

a (year) For the hour and the day, see item 1-7.

‘art 10: Nuclear reactions and ionizing radiations

so-1 reaction energy

J GeV WleV keV

eV (electronvolt), 1 eVk: 1,602 177 x lo-“J

10-51.2

lo-52

absorbed dose

dose equivalent

GY

sv

mGy

mSv

rad* (rad), 1 rad = lo-’ Gy

* Recognized by the CIPM for temporary use.

rem* (rem), 1 rem = lo-’ Sv


20

IS 10009: 1994 IS0 1000 : 1992,

ltem No. in IS0 31:





multiples some of their combinations wlth

and sub- SI unlta Remarks and information about



sub-multiples of unlts.given In

column 5

1 2 3

IO-58 exposure C/kg

Part 12: Characteristic numbers

12-1 Reynolds I number

12-8 Mach number 1 /

’ Part 13: Solid state physics

13-17 density of states J-‘/m3

13-20 Hall m3iC coefficient

4 5 6 7

R” (rontgen),

mC/kg 1 R = 2,58 x 1 0p4 C/kg (exactly)

* Recognized by the CIPM for temporary use.

As prefixes cannot be used, powers of 10 may be used, e.g. Re= 1,32 x lo3

eVi’/m3 For the electronvolt, see item 1 O-l.

-

13-21 thermo- V electromotive mV force

13-24

13-28.2

13-38.1

Thomson V/K coefficient

gap energy J

Curie K temperature

mV/K

fJ aJ

eV


For the electronvolt, see item 1 O-l.

For the degree Celsius; see item 4-2.

I

21

IS lwo!5: 1994 IS0 1000.: 1992

Annex B (informative)

Definitions of the base units of the international system of units

metre: The metre is the length of the path travelled by light in vacuum during a time interval of l/299 792 458 of a second.

[17th CGPM (1983), Resolution I]

kilogram: The kilogram is the unit of mass; it is equal to the mass of the international prototype of the kilogram.

[3rd CGPM (1901)]

second: 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.

[13th CGPM (1967), Resolution l]

ampere: The ampere is that constant current which, if maintained in two straight parallel conductors of infinite length, of negligible circular cross-section, and placed 1 metre apart in vacuum, would produce between these conductors a force equal to 2 x Leo_’ newton per metre of length.

[CIPM (1946), Resolution 2 approved by the 9th CGPM (1948)]

kelvin: The kelvin, unit of thermodynamic temperature, is the fraction l/273,16 of the thermodynamic temperature of the triple point of water.

[13th CGPM (1967), Resolution 4)

NOTES

5 The 13th CGPM (1967, Resolution 3) also decided that the unit kelvin and its symbol K should be used to express an interval or a difference of temperature.

6 In addition to the thermodynamic temperature (symbol T), expressed in kelvins, use is also made of Celsius temperature (symbol r) defined by the equation t-T-To, where TO = 273,15 K by definition. To express Celsius temperature, the unit “degree Celsius”, which is equal to the unit “kelvin”, is used; in this case, “degree Celsius” is a special name used in place of “kelvin”. An interval or difference of Celsius temperature can, however, be expressed in kelvins as well was in degrees Celsius.

mole: The mole is the amount of substance of a system which contains as many elementary entities as there are atoms in 0,012 kilograms of carbon-l 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.

[14th CGPM (1971), Resolution 33

candela: The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 540 x 1 012 hertz and that has a radiant intensity in that direction of l/683 watt per steradian.

[16th CGPM (1979), Resolution 31

22

(Continued from second cover)

In term tional Standard

IS0 31-6 : 1992

IS0 31-7 : 1992

IS0 31-8 : 1992

IS0 31-9 : 1992

IS0 31-10: 1992

IS0 31-11 : 1992

IS0 31-12 : 1992

IS0 31-13 : 1992

IS0 2955 : 1983

corresponding Indian Standard

IS 1890 (Part 6) : 1983’) Quantities, units and symbols: Part 6 Light and related electromagnetic radiations

IS 1890 (Part 7) : 1994 Quantities and units: Part 7 Acoustics (first revision)

IS 1890 (Part 8) : 1994 Quantities and units: Part 8 Physical chemistry and molecular (first revision)

IS 1890 (Part 9) : 1994 Quantities and units: Part 9 Atomicand nuclear physics (first revision)

IS 1890 (Part 10) : 1994 Quantities and units: Part 10 Nuclear reactions and ionizing radiation (first revision)

ISl890(Pattll): 1994Quantitiesand units: Part 11 Mathematical signs and symbols for use in the physical science and technology (second revision)

IS1890(Part12):1994Quantitiesand units: Part 12 Characteristic number (first revision)

IS 1890 (Part 13) : 1983l) Quantities, units and symbols: Part 13 Solid state physics

IS 11366 : 1985 Representation of SI and other units in systems with limited characteristics for information processing

Degree of Equivalence


Identical ’

Identical

Identical

Identical

Identical

Identical


Identical

‘) Under Revision.

Bureau of Indian Standards

BIS is a statutory institution established under the Bureau ofhfiun Stumfurds Act, 1986 to promote harmonious development of the activities of standardization, marking and quality certification of goods

’ and attending to connected matters in the country.

Copyright

BIS has~the copyright of all its publications. No part of these publications may be reproduced in any form without the prior permission in writing of BIS. This does not preclude the free use, in the course of implementing the standard, of necessary details, such as symbols and sizes, type or grade designations. Enquiries relating to copyright be addressed to the Director (Publications), BIS.

Review of Indian Standards

Amendments are issued to standards as the need arises on the basis of comments. Standards are also reviewed periodically; a standard along with amendments is reaffirmed when such review indicates that no changes are needed; if the review indicates that changes are needed, it is taken up for revision. Users of Indian Standards should ascertain that they are in possession of the latest amendments or edition by referring to the latest issue of ‘BIS Handbook’ and ‘Standards Monthly Additions’.

This Indian Standard has been developed from Dot No. MSD 1(89)

Amendments Issued Since Publication

Amend No. Date of Issue Text Affected

’ BUREAU OF INDIAN STANDARDS

Headquarters:

Manak Bhavan, 9 Bahadur Shah Zafar Marg, New Delhi 110002 Telephones : 3310131,33113 75

Regional Offices :

Telegrams: Manaksanstha (Common to all offices)

Telephone

Central : Manak Bhavan, 9 Bahadur Shah Zafar Marg 3310131 : NEW DELHI 110002 331 13 75

Eastern : l/14 C. LT. Scheme VII M, V. I. P. Road, Maniktola 37 84 99,37 85 61 CALCUTTA 700054 378626,378662

Northern : SC0 335-336, Sector 34-A CHANDIGARH 160022 603843 602025

Southern : C. I. T. Campus, IV Cross Road, MADRAS 600113 235 02 16,235 04 42 235 15 19,235 23 15

Western : Manakalaya, E9 MIDC, Marol, Andheri (East) 632 92 95,632 78 58 BOMBAY 400093 632 78 91,632 78 92

Branches : AHMADABAD. BANGALORE. BHOPAL. BHUBANESHWAR. COIMBATORE. FARIDABAD. GHAZIABAD. GUWAHATI. HYDERABAD. JAIPUR. KANPUR. ~LUCKNOW. PATNA THIRUVANANTHAPURAM.

Printed at Simco Printing Pres, Delhi

is 10005 1994 iso 1000 1992 si units and recommendations for the use of their multiples and of...

Documents