Units
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The international nature of science demands standardisation of
nomenclature and units of measurement to simplify communication. Mathematical
formulae and the labeling of elements in chemicals, nutritional compounds,
solutions, etc. frequently use letters from the Greek alphabet , which should
be memorised, since they are so common in a scientist's vocabulary. The French
Système International d'Unités (the SI-system) is the accepted
convention for units of measurement. Some commonly used SI units and a list of
physical constants expressed in SI units , common prefixes to ease expressions
for the extremes found in biological systems are listed. Volumes of liquids
used are frequently very small. Despite recommendations that they be abandoned
in exact scientific wink, litres (l), millilitres(ml), microlitres(µl)
and nanolitres(nl) not only remain in common usage but are accepted terms for
most scientific journals probably because they are easier both to pronounce and
to write down than their SI equivalents. Next table gives some non-SI units of
volume and their SI equivalents. Non SI terms are also to be found in older
published work. As a consequence it is important to have some appreciation of
the interconversion of units for interpretation.
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A |
a |
alpha |
B |
b |
beta |
G |
g |
gamma |
D |
d |
delta |
E |
e |
epsilon |
Z |
z |
zeta |
H |
h |
eta |
Q |
q |
theta |
I |
i |
iota |
K |
k |
kappa |
L |
l |
lambda |
M |
m |
mu |
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N |
n |
nu |
X |
x |
xi |
O |
o |
omikron |
P |
p |
pi |
R |
r |
rho |
S |
s |
sigma |
T |
t |
tau |
y |
u |
upsilon |
F |
j |
phi |
C |
c |
chi |
Y |
y |
psi |
W |
w |
omega |
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Commonly used SI Units, physical quantities
and units |
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The SI is founded on seven SI base units for seven base
quantities assumed to be mutually independent, as given in the table below.
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SI base
unit |
Base quantity
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Name |
Symbol |
length |
meter |
m |
mass |
kilogram |
kg |
time |
second |
s |
electric current |
ampere |
A |
thermodynamic temperature |
kelvin |
K |
amount of substance |
mole |
mol |
luminous intensity |
candela |
cd |
From these 7 base units a list of commonly used units is
derived.
|
SI base unit |
Quantity |
Unit |
Symbol |
Length Area Volume Time Velocity Acceleration Mass Amount
of substance Concentration Density Temperature Pressure Electric
charge Electric current Electric potential difference Electric
resistance Electric field strength Electric
capacitance Wavelength Luminous
intensity Force Energy Power Frequency Magnetic flux
density Magnetic field strength Dipole moment Radioactive
radiation |
metre square
metre cubic metre second metres per second metres per square
second kilogram mole moles per cubic metre kilograms per cubic
metre kelvin pascal coulomb ampere volt ohm volts per
metre farad metre candela newton joule watt hertz tesla amperes
per metre coulom metre becquerel curie |
m m² m3 s m.s-1 m.s-2 kg mol mol.m-3 kg.m-3 K Pa C
A V W V.m-1 F M Cd N J W Hz T A.m-1 C.m Bq ci |
Frequently used physical constants in SI
units |
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Base
quantity |
Symbol |
Avogadro's
number (molecules per mole, N) Boltzmann constant (k) Dalton (atomic mass
unit, Da) Elementary charge (of proton) (e) Faraday constant (F) Molar
or universal gas constant (R) Molar volume of an ideal gas at standard
temperature and pressure (s.t.p.) Planck constant (h) Velocity of light
in vacuum (c)
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6.0225 x 1023 1.38 x 10-23 J K-1 1.661 x 1024 1.602 x 10-19
C 9.648 x 104 C mol-1 8.314 J mol-1 K-1
22.41 dm3 mol-1 6.626 x
10-34 J s 2.998 x 108 m s-1 |
Non-SI units |
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Certain units are not part of the International System of Units,
that is, they are outside the SI, but are important and widely used. Consistent
with the recommendations of the International Committee for Weights and
Measures (CIPM, Comité International des Poids et Mesures), the units in
this category that are accepted for use with the SI.
Unit
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Symbol |
SI
equivalent |
ångström inch ounce pound centigrade degree
Celsius degree Fahrenheit millimeters of
mercury atmosphere bar pounds force per square
inch calorie erg electron volt ln x (natural logarithm of
x) curie |
A In. Oz Lb °C °F mmHg
(torr) atm bar lbf in.-2 cal erg eV ln x ci |
10-10 m 0.0254 m 28.3
g 0.4536 kg (t °C + 273 K) [ (5/9)(°F - 32)]° 133.322
Pa 101 325 Pa 105 Pa 6894.76 Pa 4.186 J 10-7 J 1.602 x 10-19
J 2.303 log10 x 3.7 x 1010 Bq |
Metric prefixes |
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When the metric system was devised in the late 1700's there was
no particular need for very large or very small numbers. In the two centuries
since that time we have learned to measure objects and distances, both large
and small, to the limits of nuclear particles and astronomical bodies. The
metric measurements are all in decimal form, and are used very consistently
from one parameter to another. The mass of the earth is 5983 Yg
(yottagrams), and it gains another 40 Gg (gigagrams) every year from captured
meteorites and cosmic dust. The average distance to the moon is 384.4 Mm
(megameters). The average distance to the sun is 149.5 Gm (gigameters). The
wavelength of yellow light is 590 nm (nanometers). The diameter of a hydrogen
atom is about 70 pm (picometers). The mass of a proton is about 1.67 yg
(yoctograms), and that of an electron about 0.000 91 yg (yoctograms).
The scientific notation used in the factors column helps
to reduce long numbers to a manageable width. By convention, the number is
always shown as a unit [ 1 to 9 ], with decimal places chosen to suit accuracy,
and the size of the number is adjusted by changing the magnitude [E+?]. E+01
means moving the decimal point one space to the right so 1.00E+01 is shorthand
for 10, then 1.33E+00 stays at 1.33 and 1.33E-01 becomes 0.133. This format
tends to be used when the figure gets longer so E+09 or E-09 cuts out a lot of
noughts.
Factor
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SI
prefix |
SI
Symbol |
1,0E+24 1,0E+21 1,0E+18 1,0E+15 1,0E+12 1,0E+9 1,0E+6 1,0E+3 1,0E+2 1,0E+1
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yotta- zetta- exa- peta- tera- giga- mega- kilo- hecto- deca- |
Y Z E P T G M k h da |
1,0E-1 1,0E-2 1,0E-3 1,0E-6 1,0E-9 1,0E-12 1,0E-15 1,0E-18 1,0E-21 1,0E-24 |
deci- centi- milli- micro- nano- pico- femto- atto-
zepto- yocto- |
d c m µ n p f a z y |
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