as
mass
--
E
=
m c
2
Planck mass:
= 2.176 71 × 10
-8
kg
proton mass:
m
p
= 1.672 623 1 × 10
-27
kg
electron mass:
m
e
= 9.109 389 7 ×
10
-31
kg
as
frequency
and
wavelength
--
E
=
h v
=
h c
/ λ
Planck length:
= 1.616 05 × 10
-35
m
Compton wavelength:
h
/
m
e
c
=
2.426 310 58 × 10
-12
m
as temperature -- E = k T
speed of light | c = | 299 792 458 m s -1 (exact) |
Planck's constant | h = | 6.626 075 5 × 10 -34 J s |
Boltzmann constant | k = | 1.380 658 × 10 -23 J K -1 |
gravitational constant | G = | 6.672 6 × 10 -11 N m 2 kg -2 |
electron charge | e = | 1.602 177 3 × 10 -19 C |
Energy | mass | freq | wavelength | temp | |||||
---|---|---|---|---|---|---|---|---|---|
Joules | eV | kg | m e | m p | Planck | Hz | m | K | |
Planck mass | 1.96×10 9 | 1.22×10 28 | 2.18×10 -8 | 2.39×10 22 | 1.30×10 19 | 1 | 2.95×10 42 | 1.02×10 -34 * | 1.42×10 32 |
1 GeV | 1.60×10 -10 | 10 9 | 1.78×10 -27 | 1957 | 1.07 | 2.42×10 23 | 1.24×10 -15 | 1.16×10 13 | |
m p | 1.50×10 -10 | 0.938 × 10 9 | 1.67×10 -27 | 1836 | 1 | 1.09×10 13 | |||
10 13 K | 1.38×10 -10 | 0.862×10 9 | 1.54×10 -27 | 1686 | 0.918 | 2.08×10 23 | 1.43×10 -15 | 10 13 | |
1 MeV | 1.60×10 -13 | 10 6 | 1.78×10 -30 | 1.957 | 1.07×10 -3 | 2.42×10 20 | 1.24×10 -12 | 1.16×10 10 | |
10 10 K | 1.38×10 -13 | 0.862×10 6 | 1.54×10 -30 | 1.686 | 9.18×10 -4 | 2.08×10 20 | 1.43×10 -12 | 10 10 | |
m e | 8.19×10 -14 | 0.511×10 6 | 9.11×10 -31 | 1 | 5.45 × 10 -4 | 2.43×10 -12 | 5.93×10 9 | ||
Rydberg | 2.18×10 -18 | 13.6 | 3.29×10 15 | ||||||
1 eV | 1.60×10 -19 | 1 | 1.78×10 -36 | 1.96×10 -6 | 1.07×10 -9 | 2.42×10 14 | 1.24×10 -6 | 1.16×10 4 | |
10 4 K | 1.38×10 -19 | 0.862 | 1.54×10 -36 | 1.69×10 -6 | 9.18×10 -10 | 2.08×10 14 | 1.43×10 -6 | 10 4 | |
2.7 K | 3.73×10 -23 | 2.33×10 -4 | 4.15×10 -40 | 4.55×10 -10 | 2.48×10 -13 | 5.63×10 10 | 0.0388 | 2.7 | |
1 K | 1.38×10 -23 | 8.62×10 -5 | 1.54×10 -40 | 1.69×10 -10 | 9.18×10 -14 | 2.08×10 10 | 0.0143 | 1 | |
22 cm | 9.03×10 -25 | 5.64×10 -6 | 1.36×10 9 | 0.22 | 0.07 |
* This is 2π larger than the "Planck length" itself, because of the use of in the latter's definition