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Table I. Defining constants
selected by Conférence Générale des Poids et Mesures (CGPM) in the 9-th SI-brochure of 2019, V.4.01 of 2026. These constants have pre-assigned exact values.
The values were chosen in a way to guarantee compatibility with previous (now historic) units.
|
| Constant |
Dim |
Fixed value |
Definition |
| ΔνCs |
Hz |
9192631770 |
Hyperfine transition frequency of Cesium 133 |
| c |
m.s-1 |
299792458 |
Speed of light in vacuum |
| h |
J.s |
6.62607015e-34 |
Planck constant |
| e |
C |
1.602176634e-19 |
elementary charge |
| k |
J.K-1 |
1.380649e-23 |
Boltzmann constant |
| NA |
mol-1 |
6.02214076e23 |
Avogadro constant |
| Kcd |
lm.W-1 |
683 |
luminous efficacy |
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Table II. Base Units
These quantities were considered basic in the past but are nowadays classified as derived.
They are nevertheless special because they define basic dimensional types T, L, M, I, θ, N, J, (or void),
making it possible to classify the type of any quantity as a product of powers of the base types
(for example, energy is of type M.L2.T-2, while its unit is 1 joule = kg.m2).s-2).
|
| Type |
Quantity |
Unit |
Dim |
New and Old Definitions |
| T |
time |
second |
s |
1 s equals (9192631770 / ΔνCs) , with ΔνCs defined in Table I.
Old: 1 s equals 9192631770 periods of the radiation due to the transition between the two hyperfine levels of the ground state of Cesium 133
|
| L |
length |
meter |
m |
1 m equals (c / 299792458) s, with c defined in Table I.
Old: 1 m equals the path light travels in vacuum in 1/299792458 seconds-
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| M |
mass |
kilogram |
kg |
1 kg equals (h / 6.62607015×10-34) s m-2, with h defined in Table I.
Old: 1 kg equals the mass of the platinum-iridium prototype at BIPM in Sevres.
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| I |
electric current |
ampere |
A |
1 A equals (e / 1.602176634×10-19) s-1, with e defined in Table I.
Old: 1 A is the current generating an attractive force of 2.10-7 newtons per every meter of length of two parallel rectilinear conductors of negligible circular cross-section positioned in vacuum 1 m apart (this fixes the permeability of vacuum to 2π*10-7 H/m).
|
| θ |
temperature |
kelvin |
K |
1 K equals (1.380 649 x 10-23 / k) kg m2 s-2, with k defined in Table I.
Old: 1 K equals 1/273.16 of the thermodynamic temperature of the triple point of water.
|
| N |
amount of substance |
mole |
mol |
1 mol equals (6.02214076 × 1023 / NA), with NA defined in Table I.
Old: 1 mol is the amount of a substance composed of as many pre-defined elementary entities (molecules, atoms) as there are atoms in 0.012 kg of Carbon 12.
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| J |
luminosity |
candle, candle |
cd |
1 cd equals (Kcd/683) kg m2 s-3 sr-1, with Kcd defined in Table I and sr in Table III.
Old: 1 cd is the luminous intensity of a source that emits in a given direction monochromatic radiation of frequency 540 x 1012 Hz and radiant intensity of 1/683 W/sr.
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Table III. Other named SI units
defined by BIPM in the 9-th SI-brochure of 2019, V.4.01 of 2026.
|
| Quantity |
Unit |
Dim |
Equals |
Definition / Note |
| Space and time: |
| plane angle |
radian |
rad |
1 m.m-1 |
1 rad is the angle subtended at the centre of a circle by an arc that is equal in length to the radius.
|
| solid angle |
steradian |
sr |
1 m2.m-2 |
1 sr is the solid angle subtended at the centre
of a sphere by an area of the surface that is equal to the squared radius.
|
| frequency |
hertz |
Hz |
1 s-1 |
[number of events]/[time]. Use only for periodic phenomena.
|
| Mechanics: |
| force |
newton |
N |
1 kg.m.s-2 |
[mass].[acceleration] |
| pressure, stress |
pascal |
Pa |
1 N.m-2 |
[force]/[area] |
| energy, work, heat |
joule |
J |
1 N.m |
[force].[length], but not to be used for torque! |
| power, radiant flux |
watt |
W |
1 J.s-1 |
[energy]/[time] |
| Electric ...: |
| charge |
coulomb |
C |
1 A.s |
[current].[time] |
| potential, tension, voltage |
volt |
V |
1 W.A-1 |
[power]/[current]. Only differences are measurable! |
| capacitance |
farad |
F |
1 C.V-1 |
[charge]/[Δpotential]. |
| resistance |
ohm |
Ω |
1 V.A-1 |
[Δpotential]/[current]. |
| conductance |
siemens |
S |
1 A.V-1 |
[current]/[Δpotential]. |
| Magnetic ...: |
| flux |
weber |
Wb |
1 J.A-1 |
[energy]/[current]. |
| flux density |
tesla |
T |
1 Wb.m-2 |
[magnetic flux]/[area]. Also magnetic induction. |
| inductance |
henry |
H |
1 V.s.A-1 |
[Δpotential]/[rate of change of current]. |
| Thermodynamics: |
| Celsius temperature |
degree C |
oC |
1 K |
Temperature differences expressed in oC and in K are identical,
but the two scales are shifted; 0 K corresponds to -273.15 oC.
|
| Optics: |
| luminous flux |
lumen |
lm |
1 cd.sr |
[luminosity].[solid angle]. |
| illuminance |
lux |
lx |
1 lm.m-2 |
[luminous flux]/[area]. |
| Radioactivity and radiation: |
| (radio) activity |
becquerel |
Bq |
1 s-1 |
[number of radionuclid decay events]/[time]. |
| (absorbed) dose, kerma |
gray |
Gy |
1 J.kg-1 |
[energy]/[mass]. |
| dose equivalent |
sievert |
Sv |
1 J.kg-1 |
[energy]/[mass]. Absorbed dose re-normalized by biological effects. |
| Chemistry: |
| catalytic activity |
katal |
kat |
1 mol.s-1 |
[amount of substance]/[time]. |
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Table IV. SI prefixes for measurement units
|
| Prefix |
Symbol |
Factor |
Examples of usage |
Origin |
| Quetta |
Q |
1030 |
0.2 QW, 1.23Q [W] |
Q and Latin 'decem' (ten, 100010) |
| Ronna |
R |
1027 |
0.2 RW, 1.23R [W] |
R and Greek 'ennea' (nine, 10009) |
| Yotta |
Y |
1024 |
0.2 YW, 1.23Y [W] |
Y and Greek 'octo' (eight, 10008) |
| Zetta |
Z |
1021 |
3.33 Zs, 3.33Z [s] |
French 'sept' (seven, 10007) |
| Exa |
E |
1018 |
1.23 Ekg, 1.23E [kg] |
Greek 'six' (10006) |
| Peta |
P |
1015 |
7.5 Ps, 7.5P [s] |
Greek 'five' (10005) |
| Tera |
T |
1012 |
0.5 Tm, 0.5T [m] |
Greek 'teras' = monster |
| Giga |
G |
109 |
1.2 GΩ, 1.2G [Ω] |
Greek 'gigas' = giant |
| Mega |
M |
106 |
7 MW, 7M [W] |
Greek 'megas' = large |
| Kilo |
K, k |
103 |
33 km, 33K [m] |
Greek 'kilioi' = thousand |
| hecto |
h |
100 |
Deprecated by SI |
Greek 'hekaton' = hundred |
| deca |
da |
10 |
Deprecated by SI |
Greek 'deka' = ten |
| deci |
d |
0.1 |
Deprecated by SI |
Latin 'decima pars' = one tenth |
| centi |
c |
0.01 |
Deprecated by SI |
Latin 'centesima pars' = one hundredth |
| milli |
m, k |
10-3 |
22 mm , 1.2m [m] |
Latin 'millesima pars' = one thousandth |
| micro |
µ, u |
10-6 |
2.7 uJ , 2.7µ [J] |
Greek 'mikros' = small |
| nano |
n |
10-9 |
2.2 nF, 2.2n [F] |
Latin 'nanus' = dwarf |
| pico |
p |
10-12 |
1.5 pA, 1.5p [A] |
Spanish 'pico' = minimal measure |
| femto |
f |
10-15 |
4.8 fs, 4.8f [s] |
Danish and Norvegian 'femten' = fifteen (10-15) |
| atto |
a |
10-18 |
1.2 ag, 1.2a [g] |
Danish and Norvegian 'atten' = eighteen (10-18) |
| zepto |
z |
10-21 |
0.2 zm, 1.2z [m] |
French 'sept' (seven, 1000-7) |
| yocto |
y |
10-24 |
1 ys, 1y [s] |
Greek 'octo' (eight, 1000-8) |
| ronto |
r |
10-27 |
0.2 rm, 1.23r [m] |
R and Greek 'ennea' (nine, 1000-9) |
| quecto |
q |
10-30 |
0.2 qW, 1.23q [W] |
Q and Latin 'decem' (ten, 1000-10) |
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Table V. Binary prefixes for Bits and Bytes
which are not a part of SI but which are in common use in informatics [see IEC 80000-13:2025].
Though the binary prefixes are NOT defined by SI, they are widely used in information technology for transmission or storage capacity. They combine an exponent letter (K,M,G,T,P,E,Z,Y,R,Q) with one of the letters "i" (for a bit of information), or "B" (always for "Bytes"), or "b" (usually for "bits"). The distinction between "B" and "b" is unstable; 1 Kb could be interpreted either as 1024 bits, or as 1000 bits, or even 1024 bytes. Here we stick to "i" fors the IEC_80000 convention or "B" for bytes.
|
| Prefix |
Symbol |
Factor |
Value |
Examples |
| kibi, Kilo |
Ki, KB |
210 |
1024 |
12345 KB = 12 641 280 bytes |
| mebi, Maga |
Mi, MB |
220 |
1 048 576 |
420 MB fits in my PC's dynamic RAM |
| gibi, Giga |
Gi, GB |
230 |
1 073 741 824 |
16 GB flash-memory pen drive costs $20 |
| tebi, Tera |
Ti, TB |
240 |
1 099 511 627 776 |
3.9 TB hard disks are a reality |
| pebi, Peta |
Pi, PB |
250 |
1 125 899 906 842 624 |
13.5 PB is in the reach of a private memory user |
| exbi, Exa |
Ei, EB |
260 |
1 152 921 504 606 846 976 |
1 EB is still a bit rare to see |
| zebi, Zetta |
Zi, ZB |
270 |
1 180 591 620 717 411 303 424 |
1 ZB data centre |
| yobi, Yotta |
Yi, YB |
280 |
1 208 925 819 614 629 174 706 176 |
1 Yi bps exceds human communication capacity |
| robi, Ronna |
Ri, RB |
290 |
1 237 940 039 285 380 274 899 124 224 |
1 RB is nothing compared with the Universe |
| quebi, Quetta |
Qi, QB |
2100 |
1 267 650 600 228 229 401 496 703 205 376 |
1 QB is getting closer |
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Table VI. Accepted non-SI units
|
| Unit |
of |
Symbol |
Equals |
Definition / Note |
| Degree of arc |
plane angle |
o |
(π/180) rad |
|
| Minute of arc |
plane angle |
' |
(1/60) o |
|
| Second of arc |
plane angle |
" |
(1/60)' |
|
| Minute |
time |
min |
60 s |
|
| Hour |
time |
h |
60 min |
|
| Day |
time |
d |
24 h |
Notice that the duration of a day is not linked to Earth motion! |
| Liter |
volume |
L, l |
0.001 m3 |
Often used sub-units are deciliter (dl) and centiliter.(cl). |
| Gram |
mass |
g |
0.001 kg |
A tolerated anomaly: the basic unit of mass (kg) has a prefix. |
| Ton |
mass |
t |
1000 kg |
More precise term: metric ton. |
| Bit |
information |
bit |
- |
The smallest, dimensionless quantum of information |
| Baud rate |
info flux |
Baud |
1 bit.s-1 |
[amount of information]/[time] |
| Neper |
ratio |
Np |
log(A/B) |
Measure of a ratio A/B. The logarithms are in base 10. |
| Bel |
ratio |
B |
0.5 Np |
Mostly used as decibel (dB): 1 dB = (1/20) Np. |
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Table VII. Some non-SI units with experimental values.
For the most recent values of these constantly improving units, see Constants of Physics.
|
| Unit |
of |
Symbol |
Equals |
Note |
| Electronvolt |
energy |
eV |
1.602176487(40)x10-19 J |
Energy to move an electron across a potential difference of 1 V. |
| Astronomical unit |
length |
au, AU, ua |
1.49597870700x10+11 m |
Mean Earth-to-Sun distance. Also denoted as ua. |
| Atomic mass unit |
mass |
u |
1.66053906892(52)x10-27 kg |
1/12 of the rest mass of an unbound 12C atom in ground state. |
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Table VIII. Units deprecated by the SI
which are still in current use in many countries.
|
| Unit |
of |
Symbol |
Equals |
Note |
| Nautical mile |
length |
mile |
1852 m |
|
| Knot |
velocity |
knot |
1 mile.h-1 |
A nautical unit. |
| Are |
area |
are |
100 m2 |
|
| Hectar |
area |
ha |
100 are |
10000 m2 |
| Bar |
pressure |
bar |
100000 Pa |
Almost 1 atm = 101325 Pa (an obsolete unit) |
| Calory |
energy |
cal |
4.1868 J |
Note: the conversion factor is fixed by convention. |
| Ångström |
length |
Å |
10-10 m |
Used in atomic and molecular physics. |
| Barn |
area |
b |
10-28 m2 |
Used in particle physics (collision cross-sections). |
| Convergence |
dioptry |
dioptry |
1 m-1 |
Used in optics. Inverse of focal length. |
| Radioactivity and radiation: |
| Curie |
Radioactivity |
b |
3.7*10+10 Bq |
Note: the conversion factor is fixed by convention. |
| Röntgen |
Radiation dose |
R |
0.000258 Ci.kg-1 |
Note: the conversion factor is fixed by convention. |
| Rad |
Radiation dose |
rad |
0.01 Gy |
|
| Rem |
Equivalent dose |
rem |
0.01 Sv |
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Spelling differences
The symbols of various units are international. This, however, is not true about the names of the units. Thus, for example, the US meter corresponds to the French metre, Italian metro, Czech metr, etc. In particular, UK English uses the French spelling. Consequently, the US terms meter, gram and liter become, respectively, metre, gramm and litre in the British Commonwealth. Throughout this document, I have used the US spelling.
References and Links
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