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The Système International d'Unités (SI), the modern form of the metric system, is the most widely used system of units and measures around the world. In spite of this there is widespread misuse of the system with incorrect names and symbols used as a matter a course - even by well educated and trained people who should know better. For example how often is mHz, Mhz or mhz written when referring to CPU clock rates? The correct form is actually MHz. Note that the capitalisation does matter.
This brief reference guide attempts to give accurate but concise information to clarify some of the mysteries of SI units and their conventions. It is not meant to be an exhaustive treatise on the subject, for this please refer to some of the definitive official publications eg National Institute of Standards & Technology (USA).
The SI comprises units and SI prefixes. The prefixes are used to form decimal multiples or sub-multiples of the units. The units are classified into Base units, Supplementary units and Derived units. The following sections described the different elements.
Physical quantity |
Base unit |
Symbol |
|---|---|---|
length |
metre |
m |
time |
second |
s |
mass |
kilogram |
kg |
electric current |
ampere |
A |
thermodynamic temperature |
kelvin |
K |
luminous intensity |
candela |
cd |
amount of substance |
mole |
mol |
Physical quantity |
Unit |
Symbol |
|---|---|---|
plane angle |
radian |
rad |
solid angle |
steradian |
sr |
Physical quantity |
Name of unit |
Symbol |
Expressed in base units |
|---|---|---|---|
frequency |
hertz |
Hz |
|
force, weight |
newton |
N |
|
work, energy, quantity of heat |
joule |
J |
|
pressure, stress |
pascal |
Pa |
|
power |
watt |
W |
|
electric charge |
coulomb |
C |
|
electric potential difference |
volt |
V |
|
electric capacitance |
farad |
F |
|
electric resistance, reactance |
ohm |
(Omega) |
|
electric conductance |
siemans |
S |
|
magnetic flux |
weber |
Wb |
|
magnetic induction |
tesla |
T |
|
inductance |
henry |
H |
|
luminous flux |
lumen |
lm |
|
illuminance |
lux |
lx |
|
Physical quantity |
Name of SI unit |
Symbol |
|---|---|---|
area |
square metre |
|
volume |
cubic metre |
|
speed, velocity |
metre per second |
|
acceleration |
metre per second squared |
|
density |
kilogram per cubic metre |
|
moment of force |
newton metre |
|
electric field strength |
volt per metre |
|
specific heat capacity |
joule per kilogram kelvin |
|
Prefix |
Symbol |
Multiplier |
|---|---|---|
exa- |
E |
1,000,000,000,000,000,000 |
peta- |
P |
1,000,000,000,000,000 |
tera- |
T |
1,000,000,000,000 |
giga- |
G |
1,000,000,000 |
mega- |
M |
1,000,000 |
kilo- |
k |
1,000 |
hecto- |
h |
100 |
deca- |
da |
10 |
deci- |
d |
0.1 |
centi- |
c |
0.01 |
milli- |
m |
0.001 |
micro- |
µ |
0.000 001 |
nano- |
n |
0.000 000 001 |
pico- |
p |
0.000 000 000 001 |
femto- |
f |
0.000 000 000 000 001 |
atto- |
a |
0.000 000 000 000 000 001 |
Quantity |
Name |
Symbol |
|---|---|---|
time |
minute |
min |
time |
hour |
h |
time |
day |
d |
plane angle |
degree |
° |
mass |
metric ton |
t |
volume |
litre |
l |
energy |
electron volt |
eV |
speed |
kilometre per hour |
km/h |
area |
hectare |
ha |
temperature |
degree Celsius |
°C |
rotational frequency |
revolution per minute |
r/min |
The following points emphasise some of the important aspects about the use of SI units and their symbols, and also indicates some of the common errors that are made. The SI unitary system differs from some of the older systems in that it has definite rules governing the way the units and symbols are used.
As early as 1584 Simon Stevenius had already proposed a decimal system of units and money in his book De Thiende. However, it was not until the French Revolution that the climate was conducive to creating a completely new system of units. In 1790 the French Academy of Science was commissioned by the National Assembly to design a new system of units for use throughout the world. They decided that this system should have the following attributes:
These principles still underpin the modern metric system (SI).
France created world-wide interest with this development and it resulted in 15 countries subscribing to the Metre convention in 1875. Through this the Bureau International des Poids et Mesures (BIPM) came into being. The BIPM now functions under the guidance of the Conférence Générale des Poids et Mesures (CGPM) which has delegates from all the countries that have subscribed to the convention.
Over the years the metric system has evolved, and in 1960 at the 11th CGPM the system was officially named the Système International d'Unités, abbreviated as SI . The SI is the logical evolution of the metric system and replaces all previous metric systems. It is a dynamic system which is continually being revised to keep pace with developments in science and technology.
edited by fbr@abdn.ac.uk Copyright © 1996 David Bartlett