Conversion Table

This is a table to show how different conventional units are related in the natural system of units, defined by

ħ = c = kB = 1 

Units with natural dimensions of energy

[Row heading] = [Table entry] X [Column heading]
[Column heading]−1 = [Table entry] X [Row heading]−1
  GeV g K cm−1 s−1 MP erg
GeV   1.78 × 10−24 1.16 × 1013 5.06 × 1013 1.52 × 1024 8.18 × 10−20 1.60 × 10−3
g 5.62 × 1023   6.52 × 1036 2.84 × 1037 8.53 × 1047 4.60 × 104 8.99 × 1020
K 8.62 × 10−14 1.53 × 10−37   4.34 1.30 × 1011 7.05 × 10−33 1.38 × 10−16
cm−1 1.98 × 10−14 3.51 × 10−38 0.23   3.00 × 1010 1.62 × 10−33 3.17 × 10−17
s−1 6.58 × 10−25 1.17 × 10−48 7.64 × 10−12 3.33 × 10−11   5.38 × 10−44 1.05 × 10−27
MP 1.22 × 1019 2.17 × 10−5 1.42 × 1032 6.17 × 1032 1.85 × 1043   1.95 × 1016
erg 6.24 × 102 1.11 × 10−21 7.24 × 1015 3.16 × 1016 9.49 × 1026 5.11 × 10−17  

Other units which do not have natural dimensions of energy or inverse energy

Charge of the proton (e) = 0.30286
1 Gauss = 1.95 × 10−20 GeV2.
Legend
GeV 109 electron volts
g gramme
K degrees Kelvin
cm centimeters
s seconds
MP Planck mass (defined as 1/GN1/2, where GN is Newton's gravitational constant)
erg the cgs unit of energy
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