Units of Measurements Units of Measurements Units of Measurements Units of Measurements 



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Units of Measurements

As a result of international agreements a unification of the measurement system has been achieved (International System of Units; Système international = SI-units). In Germany the “Law on Units in the Measurement System” was passed on 2 July 1969, the implementing ordinance concerning this Law was passed on 26 July 1970 and a Law for amending the Law on Units in the Measurement System on 6 July 1973. According to this legal framework the unitsdefined in these laws and regulations are obligatory for business and official transactions. Details have been defined in DIN 1301 “Units, unit names, unit symbols” (DIN Deutsches Institut für Normung e. V., Burggrafenstraße 6, 10787 Berlin, Tel.: +49 30 2601-0, Fax: +49 30 2601-1231 and in ISO 31, which is now superseded by the harmonized ISO/IEC 80000 standard (ISO copyright office, Case postale 56, CH-1211 Geneva 20, Tel. + 41 22 749 01 11, Fax + 41 22 749 09 47.

In the USA the same units etc. were first described in The Metric Conversion Act of 1975 (Public Law 94–168) (see also G.G. Stoner, Cosmet. Toiletries 93, No. 11, 57 [1978]) and are now harmonized in ISO 80000.

The new units have been taken into account in the present edition of the Handbook, when new documentation has been provided by the manufacturers of auxiliary substances. The new units have also been used in some revisions and additions by the editors. However, in the following the most important changes in the measurement system are given so that conversions from older unit systems may be performed, if required.

There are nine basic SI units, of which the following 7 are relevant:

SI-Basic Units

Basis physical quantityBasic unit
NameSymbol
lengthmeterm
timeseconds
masskilogramkg
temperaturekelvinK
electrical currentampereA
luminous intensitycandelacd
amount of substancemolemol

17 further units are derived from the nine basic units, of which the following derived SI units, with their names,are relevant:

Physical quantityUnitExpressed as basic units or derived units
NameSymbol
work, energy, quantity of heatjouleJ
illuminanceluxlx
forceNewtonN
pressurePascalPa

The following prefixes were established for decimal multiples and subdivisions of units:

MultiplesPrefixSymbolSubdivisionsPrefixSymbol
101decada10–1decid
102hectoh10–2centic
103kilok10–3millim
106megaM10–6microµ
109gigaG10–9nanon
1012teraT10–12picop
1015petaP10–15femtof
1018exaE10–18attoa

Spelling conventions for SI Units

If derived units consist of several basic units in the numerator or denominator, these are written one after the other with some space in between (in the case of a typewriter a single space).

Examples: N s/m, not Ns/m; kg m/s, not kgm/s.

However, multiples or subdivisions are written together with the respective units.

Examples: MNm, not M N m; mm2/s, not m m2/s.

Indices must not be appended to unit symbols but should be added to the formula symbol giving the physical quantity. Hence e.g. the normal volume may no longer be given as Nm3 (normal cubic meter) but instead as: normal volume Vn=…m3 or better: volume V=…m3 in the normal state.

Variations are permissible in the names for physical quantities, but the standard form of the unit name should always be used. This principle helps to avoid misleading spellings.

Data for the various units relevant to the present Handbook, or the corresponding conversion factors for previously used units, are given in the following table:

Legal Units

Physical quantityLegal units ConversionComment
SymbolSI UnitRelationshipRecommended unitPrevious unit
NameSymbol
massmkilogramkg; kg SI basic unit
densityρkilogram per cubic meter;
specific volumeVcubic meter per kilogram;
amount of substancenmolemol kmol
mass related to amount of substance (molar mass)Mkilogram per mol
volume related to amount of substanc (molar volume)Vmcubic meter per mole
surface tension and interfacial tension milli-Newton per meter for all liquids
thermodynamic or kelvin temperature, celsius temperatureT, Θ, t, ϑKelvinKK ℃°KSI basic unit practical conversion:
dynamic viscosityηPascal secondPa·smPa·scP (centipoise)
kinematic viscosityνsquare meter per second st (stokes)

Conversion of the most common British (UK) and American (US) Units into SI Units

Physical quantityName of the unitSymbolConversion into SI Units
lengthinchin1in=25.4mm
footft1ft=12in=0.3048m
yardyd1yd=3ft=0.9144m
mile (statute) 1mile=1760yd=1.609344km
nautical mile (intern.)n. mile1n. mile=1.852km
areasquare inchsq in1sq in=6.4516cm2
square footsq ft1sq ft=144sq in=929.030cm2
square yardsq yd1sq yd=9sq ft=0.836127m2
rood 1rood=1210sq yd=1011.71m2
acre 1acre=4roods=4046.86m2
square milesq mile1sq mile=640acres=2.589988km2
volumecubic inchcu in1cu in=16.3871cm3
cubic footcu ft1cu ft=28.3168dm3
cubic yardcu yd1cu yd=0.764555m3
British measure of capacityUK fluid ounceUK fl oz1fl oz=28.4131cm3
UK gill 1gill=5fl oz=0.142065dm3
UK pintUK pt1pt=20fl oz=0.568261dm3
UK quartUK qt1qt=2pt=1.13652dm3
UK gallonUK gal1gal=4qt=4.54609dm3
American measure of capacity (liquid)US fluid ounceUS fl oz1fl oz=29.5735cm3
US gillgi1gi=4fl oz=0.118294dm3
US liquid pintliq pt1liq pt=4gi=0.473176dm3
US liquid quartliq qt1liq qt=2liq pt=0.946353dm3
US gallonUS gal1gal=4liq qt=3.78541dm3
US barrel (oil)bbl1bbl=42gal=158.987dm3
American measure of capacity (dry)US dry pintdry pt1dry pt=0.550610dm3
US dry quartdry qt1dry qt=2dry pt=1.10122dm3
US peckpk1pk=8dry qt=8.80976dm3
US bushelbu1bu=4pk=35.2391dm3
massgraingr1gr=0.064799g
dram (avoir dupois)dr1dr=27.34375gr=1.77185g
ounce (avdp.)oz1oz=16dr=28.3495g
troy ounceoz tr1oz tr=480gr=31.1035g
pound (avdp.)lb1lb=16oz=0.453592kg
troy poundlb tr1lb tr=12oz tr=0.373242kg
stone (UK) 1stone=14lb=6.35029kg
hundredweight (UK)cwt1cwt=112lb=50.8023kg
(long) ton (UK)ton1ton=2240lb=1016.05kg
Shorthundredweight (US)sh cwt1sh cwt=100lb=45.3592kg
short ton (US)sh ton1sh ton=2000lb=907.185kg
forcepoundalpdl1pdl=1lb ft/s2=0.138255N
pound-forcelbf1lbf=4.44822N
UK ton-forceUK tonf1tonf=2240lbf=9964.02N
US ton-force=2kipUS tonf1tonf=2000lbf=8896.44N
pressurepound-force / sq ftlbf / ft21lbf / ft2=47.8803Pa
pound-force / sq in (p.s.i.)lbf / in21lbf / in2=6.89476kPa
energy, quantity of heatfoot pound-forceft lbf1ft lbf=1.35582J
British thermal unitBtu1Btu=1.05506kJ
therm 1therm=105 Btu=105.506MJ
powerBritish thermal unit / hourBtu / h1Btu / h=0.293071W
horsepowerhp1hp=550ft lbf / s=745.700W
temperaturedegree Fahrenheit°Ftemp. in ℃ =(temp. in °F −32)·5/9∆1°F=∆5/9℃