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1998 CODATA RECOMMENDED VALUES OF THE FUNDAMENTAL CONSTANTS OF PHYSICS AND CHEMISTRY

NIST SP 961ft(Jan/2001) Values from: P. J. Mohr and B. N. Taylor, J. Phys. Chem. Ref. Data 28. 1713 (1999) and Rev. Mod. Phys. 72, 351 (2000).

A more extensive listing of constants is available in the above references and on the NIST Physics Laboratory Web site physics.nist.gov/constants.

The number in parenthesis is the one-standard-deviation uncertainty in the last two digits of the given value.

Quantity Symbol Numerical value Unit Qtiantity Symbol .Numerical value Unil

speed of light in vacuum C, Co 299 792 458 (exact) m s~

muon 3-1'actor —2(1 -I- Op

)

-2.002 331 8320(13) magnetic constant Mo 47t X 10~ ' (exact) N A"^ muon-proton magnetic moment ratio Mh/Mp -3.183 345 39(10) = 12.566 370614... x 10"^ N

= proton mass )71p 1.672 621 58(13) x lO""' kg

electric constant l/fiQC^ eo 8.854187817... x 10"'^ F m"' in u 1.007 276466 88(13) u Newtonian constant of gravitation G 6.673(10) X 10"" kg"' s"^ energy equivalent in MeV 77lpC- 938.271 998(38) MeV

Planck constant h 6.626 068 76(52) X

10"^" J s proton-electron mass ratio /7J p/ 777e 1 836.152 6675(39)

in eV s 4.135 667 27(16) X

10"^^ eV s proton magnetic moment Mp 1.410 606 633(58) x 10"-" J T"'

h/2K n 1.054 571 596(82) X

10"^" J s to nuclear magneton ratio Mp//'N 2.792 847 337(29)

in eV s 6.582 118 89(26) X

10"^'^ eV s proton magnetic shielding correction 1 — Mp/Mp "p 25.687(15) X 10""

elementary charge e 1.602 176 462(63) x 10"'^ C (H2O, sphere, 25 °C)

magnetic flux ciuantum h/2e 4>o 2.067 833 636(81) x 10"'^ Wb proton gyromagnetic ratio '2f.tp/h 7p 2.675 222 12(11) x 10* S-' T"'

Josephson constant 2e/h Kj 483 597.898(19) x lo" Hz V"' -p/2t 42.577 4825(18) MHz T"'

von Klitzing constant h/e"^ = fj,oc/2a Rk 25 812.807 572(95) n shielded proton gyromagnetic ratio 'ifi'^/h Tp 2.675 15341(11) x 10* s"' T"'

Bohr magneton eh/2mc Mb 927.400 899(37) x

10"^'' J T"' (H2O, sphere, 25 °C)

in eV T"^ 5.788 381 749(43) X 10~^ eV T"' 42.576 3888(18) MHz T"'

nuclear magneton eh/2mp Mn 5.050 783 17(20) X lO"^'' J T"' neutron mass in u m,. 1.008 664 915 78(55) u

in eV T-^ 3.152 451 238(24) X 10~* eV T"' energy equivalent in MeV m„c^ 939.565 330(38) MeV

fine-structure constant e^/47teo?ic a 7.297 352 533(27) x 10~^ neutron-proton mass ratio 777,,/mp 1.001 378 418 87(58)

inverse fine-structure constant a'^ 137.035 999 76(50) neutron magnetic moment Mn -0.966 236 40(23) x

10""'^ J T"'

H.y (1 herg constant oc^ c/2/i 10973 731.568 549(83) m"' to nuclear magneton ratio Mil /a'n -1.913 042 72(45) RocC 3.289 841 960 368(25) x lO^'^ Hz deuteron mass in u nid 2.013 553 212 71(35) u energy ec|ui valent in eV R<x> he 13.605691 72(53) eV energy equivalent in MeV 1 875.612 762(75) MeV

3ohr radius cx/^kRoo — 4TCeo^^/^e^^ 0.529177 2083(19) X 10"'° m deuteron-proton mass ratio trid / 77! p 1.999 007 500 83(41)

Ilartree energy g^/Aticqciq ~ 2Fiao he = ct^trieC^ Eh 4.359 743 81(34) x lO"^'* J deuteron magnetic moment Md 0.433 073457(18) x

10"-'^ .] T"'

in eV 27.211 3834(11) eV to nuclear magneton ratio Md/MN 0.857 438 2284(94)

electron mass rrie 9.109 381 88(72) x 10~^' kg helion (^He nucleus) mass in u mil 3.014 932 234 69(86) u

in u 5.485 799 110(12) x

10"'' u energy equivalent in MeV mi, c" 2 808.391 32(11) MeV

energy equivalent in MeV 0.510998 902(21) MeV shielded helion magnetic moment Ml, -1.074 552 967(45) x

10""'^' J T"'

olectron-muon mass ratio 4.836 332 10(15) x 10"^ (gas, sphere, 25 °C)

electron-proton mass ratio me/mp 5.446 170 232(12) x lO"*" C kg-'

to Bohr magneton ratio Mh / Mb -1.158 671 474(14) x 10"'

electron charge to mass quotient —e/rrie -1.758 820174(71) X

10^' to nuclear magneton ratio m'ii/mn -2.127 497 718(25) C'ompton wavelength h/m^c Ac 2.426 310 215(18) X

10"'^ m alpha particle mass in u 77la 4.001 506 1747(10) u Xc/2n — aao = a^/4nRao >c 386.159 2642(28) x 10"'^ m energy equivalent in MeV rriaC^ 3 727.379 04(15) MeV

classical electron radius a^ao re 2.817 940 285(31) x 10~'^ m Avogadro constant Na.L 6.022 141 99(47) x 10"' mol"' Fhomson cross section (8ji/3)rp (Te 0.665 245 854(15) X

10"^* o m" atomic mass constant j^m.{^'^ C) = 1 u m„ 1.660 538 73(13) x 10"^" kg

clecl ron magnetic moment Me — 928.476 362(37) x

10"^*^ J T"' energy equivalent in MeV m,, 931.494 013(37) MeV

to 3ohr magneton ratio — 1.001 159 652 1869(41) Faraday constant A^ac F 96 485.3415(39) C mol" '

l.o nuclear magneton ratio Me / MN -1 838.281 9660(39) molar gas constant R 8.314 472(15) ,1 mol"' K"'

electron magnetic moment anomaly | /^e | / mb — 1 ae 1.159 652 1869(41) X 10~^ Boltzmann constant R/N\ k 1.380 6503(24) x 10""' .1 K"'

electron (/-factor — 2(1 -|- Oe) ye — 2.002 319 304 3737(82) in eV K"' 8.617 342(15) x

10"'°" eV K"'

electron-proton magnetic moment ratio Me/Mp -658.210 6875(66) molar volume of ideal gas RT/p V'„ 22.413 996(39) x 10"' m' mol"' muon mass in u TTlj, 0.1134289168(34) u (T = 273.15 K, p = 101.325 kPa) Stefan-Boltzmann constant K~ k'^/GQh^

c"^ energy equivalent in MeV 105.658 3568(52) MeV a 5.670 400(40) X 10"" W m"= !<"' muon-electron mass ratio mn/me 206.768 2657(63) first radiation constant 'Inhc^ Cl 3.741 771 07(29) x

10"'*' \V m

= muon magnetic moment Mji -4.490 448 13(22) x 10"^" J T"' second radiation constant hc/k C2 1.438 7752(25) x 10" = m K

to Bohr magneton ratio Mji/MB -4.841970 85(15) X 10"' Wien displacement law constant

I n nuclear magneton ratio M|i/mn -8.890 597 70(27) b = Am,>xT = C2/4.965 114 231... b 2.897 7686(51) x 10"' m K

niium magnetic moment anomaly Cu X unit: A(Cu Kai )/l 537.400 xu(Cu Kai

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1.002 077 03(28) x 10"" m

lA^M|/(enV2m„)-l n„ 1.16591602(64) x lO"'' Mo X unit: A(Mo Ktti )/707.831 xu(MoKai) 1.002 099 59(53) x 10"'^ in

Energy equivalents

(1 m~^)c = 2il9792').58 Hz (1 \iz)h/k = 4.799 2374(84) x 10 -11 K (1 J) = 6.241 509 74(24) X 10'" eV (1 eV)/c^ = 1.073 544 206(43) x

10"' u

(1 m''^)hc/k = I..138 77.'52C2.5) x 10"^ K (1 Hz)ft = 4.13566727(16) X 10~'^ eV (1 eV) = 1.602 176 462(63) X lO""' J (1 kg) = 6.022 141 99(47) X 10^" 1

(1 m-')/tc = 1.230841 857(49) X 10""* eV (1 K)k/hc = 69.503 56(12) m"^ (1 eV)/ftc = 8.065 544 77(32) x lO'' m"' (1 u) = 1.660 538 73(13) X

10"^' kg

(1 ni~' )/i/c = 1.331 025 042(10) X 10~^^ u (1 K)k/h = 2.083 6644(36) X 10 '° Hz (1 eV)//j = 2.417 989 491(95) X lO'^ Hz (1 u)c/h

(1 u)c= = 7.513 006 658(57) X lO'** m"'

(1 II/.)/c = 3.335640952 X 10'° ni"' (1 K)A- = 8.617342(15) X 10~ eV (1 eV)/fc = 1.1604506(20) x lO" K = 931.494 013(37) X 10" eV NisrNational Institute of Standards and Technology • Technology Administration • U.S. Deportment of Commerce

Physics Laboratory Standard Reference Data Program
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