Friday 7 March 2014

Relation to SI Unit

NAME
SYMBOL
RELATION TO SI
length, l
metre (SI unit)
m

centimetre (cgs unit)
cm
= 10-2m
angstrom
Å
=10-10m
Micron
µ
=µm = 10-6m
Mill micron
=nm = 10-9m
x unit
X
≈1.002X 10-13m
Fermi
f, fm
=fm = 10-15m
Inch
In
= 2.54 x 10-2m
Foot
Ft
=12in = 0.3048m
Yard
Yd
=3ft = 0.9144m
Mile
Mi
=1760yd = 1609.344m
Nautical mile

=1852m
Astronomical unit
AU
=1.49600 x 1011m
Parsec
pc
≈3.08568 x 1016m
Light year
l.y.
≈9.460528 x 1015m
Light second

= 299792458m
area, (A)
Square meter
m^2

Barn
b
=10-28m2
acre
a
≈4046.856m2
hectare
ha
=104 m2
volume(V)
cubic metre
m3

litre
l, L
=dm3 = 10-3 m3
lambda
λ
= µl = 10-6dm3
barrel(US)

≈158.987dm3
gallon(US)
gal(US)
= 3.78541dm3
gallon(UK)
Gal(UK)
=4.54609 dm3
Mass, (m)
Kilogram
Kg

Gram (cgs unit)
g
=10-3kg
electron mass (au)
me
≈9.10939 x 10-31kg
unified atomic mass unit, Daltons
u, Da
=ma(12C)/12 ≈1.660540x10-27kg
gamma
γ
=µg
tonne
t
=Mg =103kg
pound (avoirdupois)
lb
=0.45359237kg
ounce (avoirdupois)
oz
≈28.3495g
ounce(troy)
oz(trou)
≈31.1035g
grain
gr
=64.79891mg
time, (t)
second (SI, cgs unit)
s

au of time
h/Eh
≈2.41888x10-17s
minute
min
=60s
hour
h
=3600s
day
d
=86400s
year
a
≈31556952s
Svedberg
Sv
=10-13s
acceleration, (a)
SI unit
ms-2

standard acceleration of free fall
gn
=9.80665ms-2
gal, Galileo
Gal
=10-2ms-2
force, (F)
Newton (SI unit)
N
=kg m s-2
dyne (cgs unit)
dyn
=g cm s-2 = 10-5N
au of force
Eh/a0
≈8.23873 x 10-8N
kilogram - force
kgf
=9.80665 N
energy, (U)
joule (SI unit)
J
=kg m2 s-2
erg (cgs unit)
erg
= g cm2 s-2 = 10-7J
rydberg
Ry
=Eh/2 ≈ 2.17987 x 10-18 J
electron volt
eV
=e x V ≈ 1.60218 x 10-19J
calorie, thermo chemical
calth
= 4.184J
calorie, international
calIT
=4.1868 J
15ºC calorie
cal15
≈ 4.1855 J
litre atmosphere
1atm
= 101.325 J
British thermal unit
Btu
=1055.06 J
pressure, (p)
Pascal (SI unit)
Pa
= Nm-2 = kg m-1 s-2
atmosphere
atm
= 101325 Pa
bar
bar
=105 Pa
torr
Torr
=(101325/760) Pa
≈ 133.322Pa
millimetre of mercury (conventional)
mmHg
=13.5951 x 980.665 x 10-2 Pa ≈ 133.322 Pa
pounds per square inch
psi
≈ 6.894757 x 103 Pa
power(P)
watt (SI unit)
W
= kg m2 s-3
horse power
hp
= 745.7 W
action, L, J (angular momentum)
SI unit
J S
= kg m2 s-1
cgs unit
erg s
= 10-7 J s
au of action
h = h / 2π
≈1.05457 x 10-34 J s
dynamic viscosity, (η)
SI unit
Pa s
= kg m-1 s-1
poise
P
= 10-1 Pa s
centipoises
cP
= mPa s
kinematic viscosity, (v)
SI unit
m2 s-1

stokes
St
= 10-4 m2 s-1
thermodynamic temperature, (T )
Kelvin (SI unit)
K

degree Rankin
ºR
= (5/9) K
entropy, (S)   heat capacity, (C)
SI unit
J K-1

clausius
Cl
=calth/K = 4.184 J K-1
molar entropy,  (Sm)
molar heat capacity, (Cm)
SI unit
J K-1 mol-1

entropy unit
e.u
=calth K-1 mol-1
= 4.184 J K-1 mol-1
molar volume (Vm)
SI unit
m3 mol-1

amagat
amagat
=Vm of real gas at 1 atm and 273.15 K
≈22.4 x 10-3  m3 mol-1
plane angle, (α)
radian (SI unit)
rad

degree
º
= rad x 2π/360 ≈(1/57.29578)rad
minute
'
= degree/60
second
"
= degree/3600
grade
grad
=rad x 2π/400 ≈(1/63.66198)rad
radioactivity, (A)
Becquerel (SI unit)
Bq
=s-1
curie
Ci
=3.7 x 1010 Bq
absorbed dose of radiation
gray (SI unit)
Gy
= J kg-1
rad
rad
=0.01 Gy
dose equivalent
sievert (SI unit)
Sv
= J kg-1
rem
rem
≈0.01 Sv
electric current (I)
ampere (SI unit)
A

esu, Gau
(10/ ζ)A
≈3.33564 x 10-10A
biot (emu)
Bi
=10 A
electric charge (Q)
coulomb (SI unit)
C
= A s
franklin (esu, Gau)
Fr
= (10/ ζ)C ≈3.33564 x 10-10C
emu (abcoulomb)

= 10C
proton charge (au)
e
≈1.60218 x 10-19 C
 ≈4.80321 x 10-10Fr
charge density, (ρ)
SI unit
C m-3

esu, Gau
Fr cm-3
= 107 ζ1 C m-3
≈3.33564 x 10-4 C m-3
electrical potenial,(V), (φ )
volt (SI unit)
V
= J C-1 = J A-1 s-1
esu, Gau
erg Fr-1
Fr cm-1/4πε0 =299.792458 V
mean international volt

=1.00034V
US international volt

= 1.000330 V


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