Other non-SI units

Other non-SI units

Some non-SI units, such as the nautical mile, have previously been accepted for use with the SI, but no longer have any special status.

Examples of non-SI units that are no longer accepted for use with the SI
Name Symbol Quantity SI units
ångström,
angstrom
Å length 10-10 m
1 \mspace{4mu} \text{A} \mspace{6mu} = \dfrac{9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770}{(10^{10})(299 \mspace{4mu} 792 \mspace{4mu} 458)} \mspace{6mu} \dfrac{c}{\Delta \nu _{Cs}}\\ \\ \\ 1 \mspace{4mu} \text{A} \mspace{6mu} \approx 3.066 \mspace{4mu} \mspace{4mu} 331 \mspace{4mu} 898 \mspace{4mu} 849 \mspace{4mu} 836 \mspace{4mu} 976 \times10^{-9} \mspace{6mu} c \mspace{4mu} {\Delta \nu _{Cs}}^{-1}
nautical mile nmi length 1852 m
1 \mspace{4mu} \text{nmi} \mspace{6mu} = \dfrac{(1 \mspace{4mu} 852)(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770)}{299 \mspace{4mu} 792 \mspace{4mu} 458} \mspace{6mu} \dfrac{c}{\Delta \nu _{Cs}}\\ \\ \\ 1 \mspace{4mu} \text{nmi} \mspace{6mu} \approx 5.678 \mspace{4mu} 846 \mspace{4mu} 676 \mspace{4mu} 669 \mspace{4mu} 898 \mspace{4mu} 080 \times10^{4} \mspace{6mu} c \mspace{4mu} {\Delta \nu _{Cs}}^{-1}
parsec pc length ≈30.86 Pm
1 \mspace{4mu} \text{pc} \mspace{6mu} = \dfrac{(149 \mspace{4mu} 597 \mspace{4mu} 870 \mspace{4mu} 700)(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770)}{(\text{tan} \mspace{4mu} 1^{\prime \prime})(299 \mspace{4mu} 792 \mspace{4mu} 458)} \mspace{6mu} \dfrac{c}{\Delta \nu _{Cs}}\\ \\ \\ 1 \mspace{4mu} \text{pc} \mspace{6mu} \approx 9.461 \mspace{4mu} 711 \mspace{4mu} 597 \mspace{4mu} 618 \mspace{4mu} 666 \mspace{4mu} 090 \times10^{17} \mspace{6mu} c \mspace{4mu} {\Delta \nu _{Cs}}^{-1}
barn b area 10-28 m2
1 \mspace{4mu} \text{b} \mspace{6mu} = \dfrac{(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770)^2}{(10^{28})(299 \mspace{4mu} 792 \mspace{4mu} 458)^2} \mspace{6mu} \dfrac{c^2}{{\Delta \nu _{Cs}}^2}\\ \\ \\ 1 \mspace{4mu} \text{b} \mspace{6mu} \approx 9.402 \mspace{4mu} 391 \mspace{4mu} 313 \mspace{4mu} 904 \mspace{4mu} 046 \mspace{4mu} 861 \times10^{-26} \mspace{6mu} c^2 \mspace{4mu} {\Delta \nu _{Cs}}^{-2}
knot kn speed 18523600 m s-1
1 \mspace{4mu} \text{kn} \mspace{6mu} = \dfrac{1 \mspace{4mu} 852}{(3 \mspace{4mu} 600)(299 \mspace{4mu} 792 \mspace{4mu} 458)} \mspace{6mu} c\\ \\ \\ 1 \mspace{4mu} \text{kn} \mspace{6mu} \approx 1.716 \mspace{4mu} 001 \mspace{4mu} 956 \mspace{4mu} 408 \mspace{4mu} 271 \mspace{4mu} 099 \mspace{4mu} 483 \times10^{-9} \mspace{6mu} c
bar bar pressure 105 Pa
1 \mspace{4mu} \text{bar} \mspace{6mu} = \dfrac{(10^5)(299 \mspace{4mu} 792 \mspace{4mu} 458)^3}{(6.626 \mspace{4mu} 070 \mspace{4mu} 15 \times 10^{-34})(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770)^4} \mspace{6mu} \dfrac{h \mspace{4mu} {\Delta \nu _{Cs}}^4}{c^3}\\ \\ \\ 1 \mspace{4mu} \text{bar} \mspace{6mu} \approx 5.694 \mspace{4mu} 382 \mspace{4mu} 339 \mspace{4mu} 804 \mspace{4mu} 557 \mspace{4mu} 242 \times10^{23} \mspace{6mu} h \mspace{4mu} c^{-3} \mspace{4mu} {\Delta \nu _{Cs}}^4

 
Some non-SI units, that have never been accepted for use with the SI, continue to be used in certain fields. Some of these units, such as the dioptre, are highly compatible with the SI. Others, such as the enzyme unit, are better replaced by a coherent SI unit with an appropriate prefix. A few examples of such non-SI units, and their definitions, are listed below.

Examples of non-SI units used in certain fields
Name Symbol Quantity SI units
light year ly length 9 460 730 472 580 800 m
1 \mspace{4mu} \text{ly} \mspace{6mu} = (31 \mspace{4mu} 557 \mspace{4mu} 600)(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770) \mspace{6mu} \dfrac{c}{\Delta \nu _{Cs}}\\ \\ \\ 1 \mspace{4mu} \text{ly} \mspace{6mu} = 2.900 \mspace{4mu} 973 \mspace{4mu} 963 \mspace{4mu} 449 \mspace{4mu} 52 \times10^{17} \mspace{6mu} c \mspace{4mu} {\Delta \nu _{Cs}}^{-1}
dioptre D optical refractive power m-1
1 \mspace{4mu} \text{D} \mspace{6mu} = \dfrac{299 \mspace{4mu} 792 \mspace{4mu} 458}{9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770} \mspace{6mu} \dfrac{\Delta \nu _{Cs}}{c}\\ \\ \\ 1 \mspace{4mu} \text{D} \mspace{6mu} \approx 3.261 \mspace{4mu} 225 \mspace{4mu} 571 \mspace{4mu} 749 \mspace{4mu} 405 \mspace{4mu} 557 \times10^{-2} \mspace{6mu} c^{-1} \mspace{4mu} \Delta \nu _{Cs}
millimetre of mercury mmHg pressure ≈133.322 Pa
1 \mspace{4mu} \text{mmHg} \mspace{6mu} \approx \dfrac{(133.322)(299 \mspace{4mu} 792 \mspace{4mu} 458)^3}{(6.626 \mspace{4mu} 070 \mspace{4mu} 15 \times 10^{-34})(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770)^4} \mspace{6mu} \dfrac{h \mspace{4mu} {\Delta \nu _{Cs}}^4}{c^3}\\ \\ \\ 1 \mspace{4mu} \text{mmHg} \mspace{6mu} \approx 7.591 \mspace{4mu} 864 \mspace{4mu} 423 \mspace{4mu} 074 \mspace{4mu} 231 \mspace{4mu} 806 \times10^{20} \mspace{6mu} h \mspace{4mu} c^{-3} \mspace{4mu} {\Delta \nu _{Cs}}^4
R-value R thermal insulance kg-1 s3 K
1 \mspace{4mu} \text{R} \mspace{6mu} = \dfrac{(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770)^3(1.380 \mspace{4mu} 649 \times 10^{-23})}{(299 \mspace{4mu} 792 \mspace{4mu} 458)^2} \mspace{6mu} \dfrac{c^2}{{\Delta \nu _{Cs}}^3 \mspace{4mu} k}\\ \\ \\ 1 \mspace{4mu} \text{R} \mspace{6mu} \approx 1.193 \mspace{4mu} 332 \mspace{4mu} 499 \mspace{4mu} 625 \mspace{4mu} 075 \mspace{4mu} 118 \times10^{-10} \mspace{6mu} c^2 \mspace{4mu} {\Delta \nu _{Cs}}^{-3} \mspace{4mu} k^{-1}
tog tog thermal insulance 10-1 kg-1 s3 K
1 \mspace{4mu} \text{tog} \mspace{6mu} = \dfrac{(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770)^3(1.380 \mspace{4mu} 649 \times 10^{-23})}{(10)(299 \mspace{4mu} 792 \mspace{4mu} 458)^2} \mspace{6mu} \dfrac{c^2}{{\Delta \nu _{Cs}}^3 \mspace{4mu} k}\\ \\ \\ 1 \mspace{4mu} \text{tog} \mspace{6mu} \approx 1.193 \mspace{4mu} 332 \mspace{4mu} 499 \mspace{4mu} 625 \mspace{4mu} 075 \mspace{4mu} 118 \times10^{-11} \mspace{6mu} c^2 \mspace{4mu} {\Delta \nu _{Cs}}^{-3} \mspace{4mu} k^{-1}
enzyme unit U catalytic activity (160) × 10-6 s-1 mol
1 \mspace{4mu} \text{U} \mspace{6mu} = \dfrac{6.022 \mspace{4mu} 140 \mspace{4mu} 76 \times 10^{23}}{(6 \times 10^7)(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770)} \mspace{6mu} \dfrac{\Delta \nu _{Cs}}{N_A}\\ \\ \\ 1 \mspace{4mu} \text{U} \mspace{6mu} \approx 1.091 \mspace{4mu} 841 \mspace{4mu} 979 \mspace{4mu} 292 \mspace{4mu} 799 \mspace{4mu} 049 \times10^{6} \mspace{6mu} \Delta \nu _{Cs} \mspace{4mu} {N_A}^{-1}
gradian,
gon
gon plane angle π200 rad
1 \mspace{4mu} \text{gon} = \dfrac{\pi}{200} \mspace{6mu} \text{rad}

Other non-SI units not recommended for use

There are many more non-SI units, which are too numerous to list here, which are either of historical interest, or are still used but only in specialised fields (for example, the barrel of oil) or in particular countries (the inch, foot, yard and mile). There is no case for continuing to use these units in modern scientific and technical work.