Page 361 - PRINCIPLES OF QUANTUM MECHANICS as Applied to Chemistry and Chemical Physics

Physical constants

8
Speed of light c 2:997 924 58 3 10 ms ÿ1
(exact value by de®nition)
Elementary charge e 1:602 177 3 10 ÿ19 C
Planck's constant h 6:626 08 3 10 ÿ34 Js
" 1:054 57 3 10 ÿ34 Js
Boltzmann's constant k B 1:380 66 3 10 ÿ23 JK ÿ1
Avogadro's number N A 6:022 14 3 10 23 mol ÿ1
Mass of electron m e 9:109 39 3 10 ÿ31 kg
Mass of proton m p 1:672 62 3 10 ÿ27 kg
Mass of neutron m n 1:674 93 3 10 ÿ27 kg
2
ÿ1
Permittivity of vacuum å 0 8:854 19 3 10 ÿ12 J C m ÿ1
ÿ1
2
4ðå 0 1:112 65 3 10 ÿ10 J C m ÿ1
Electron spin gyromagnetic ratio g s 2.002 319 304
Bohr magneton ì B ˆ e"=2m e 9:274 02 3 10 ÿ24 JT ÿ1
1 ÿ3
2
Fine structure constant á ˆ e =4ðå 0 "c ˆ 7:297 35 3 10
137:035 99
Hydrogen atom
2
Bohr radius á 0 ˆ 4ðå 0 " =m e e 2 5:291 77 3 10 ÿ11 m
Rydberg constant R H 109 677:32 cm ÿ1
4
2 3
R 1 ˆ m e e =8å 0 h c 109 737:31 cm ÿ1
Ground state energy ÿ13.598 eV
ÿ2:178 64 3 10 ÿ18 J
Energy conversion

1eV ˆ 1:602 177 3 10 ÿ19 J ˆ 8065:54 cm ÿ1
1J ˆ 6:241 506 3 10 18 eV ˆ 5:034 11 3 10 22 cm ÿ1
1cm ÿ1 ˆ 1:239 842 3 10 ÿ4 eV ˆ 1:986 447 3 10 ÿ23 J