Fundamental Physical Constants — Extensive Listing

1 From: Physical Constants Extensive ListingRelative of light in vacuumc,c0299 792458m s 1(exact)magnetic constant 04 10 7N A 2= 370 10 7N A 2(exact)electric constant 1/ 0c2 187 10 12F m 1(exact)characteristic impedanceof vacuum 0/ 0= 313 (exact)Newtonian constantof (10) 10 11m3kg 1s 10 4G/ (10) 10 39(GeV/c2) 10 4 Planck 0693(11) 10 34J 10 7in eV 667 43(35) 10 15eV 10 8h/2 571 68(18) 10 34J 10 7in eV 119 15(56) 10 16eV 10 8 hcin Mev 968(17)MeV 10 8 Planck mass( hc/G)1 45(16) 10 10 5 Planck temperature( hc5/G)1/2/k 79(11) 10 5 Planck length h/mPc= ( hG/c3)1 24(12) 10 10 5 Planck timelP/c= ( hG/c5)1 21(40) 10 10 5 ELECTROMAGNETIC elementary 176 53(14) 10 10 8 989 40(21) 1014A J 10 8magnetic flux quantumh/2e 833 72(18) 10 10 8conductance quantum2e2 091 733(26) 10 10 9inverse of conductance quantumG 1012 725(43) 10 9 Josephson constant12e/hKJ483 (41) 109Hz V 10 8von Klitzing constant2h/e2= 0c/2 RK25 449(86) 10 9 Bohr magnetone h/2me 949(80) 10 26J T 10 8in eV T 381 804(39) 10 5eV T 10 9 2458(12) 109Hz T 10 8 4507(40)m 1T 10 8 7131(12)K T 10 6nuclear magnetone h/2mp 783 43(43) 10 27J T 10 8in eV T 451 259(21) 10 8eV T 10 9 593 71(65)MHz T 10 8 623 58(22) 10 2m 1T 10 8 2637(64)

2 10 4K T 10 6 ATOMIC AND NUCLEARG eneralPage1 Source: Peter J. Mohr and Barry N. Taylor, CODATA Recommended Values of the Fundamental PhysicalConstants: 2002, published in Review of Modern Physics77, 1 (2005).From: Physical Constants Extensive ListingRelative constante2/4 0 hc 352 568(24) 10 10 9inverse fine-structure constant 999 11(46) 10 9 Rydberg constant 2mec/2hR 10 973 525(73)m 10 12R 841 960 360(22) 10 12R 872 09(37) 10 10 7R hcin 6923(12) 10 8 Bohr radius /4 R = 4 0 h2 177 2108(18) 10 10 9 Hartree energye2/4 0a0= 2R hc= 744 17(75) 10 10 7in 3845(23) 10 8quantum of 947 550(24) 10 4m2s 10 9 895 101(48) 10 4m2s 10 9 ElectroweakFermi coupling constant3GF/( hc) 39(1) 10 5 GeV 10 6weak mixing angle4 W(on-shell scheme)sin2 W=s2W 1 (mW/mZ)2sin2 15(76) 10 3 Electron, e electron 3826(16) 10 10 7in u,me=Ar(e)

3 U (electronrelative atomic mass times u) 799 0945(24) 10 10 10energy 1047(14) 10 10 7in 998 918(44) 10 8electron-muon mass ratiome/m 331 67(13) 10 10 8electron-tau mass ratiome/m 64(47) 10 10 4electron-proton mass 170 2173(25) 10 10 10electron-neutron mass 673 4481(38) 10 10 10electron-deuteron mass 437 1095(13) 10 10 10electron to alpha particle mass ratiome/m 933 555 75(61) 10 10 10electron charge to mass quotient e/me 820 12(15) 1011C kg 10 8electron molar massNAmeM(e), 799 0945(24) 10 7kg mol 10 10 Compton wavelengthh/mec 310 238(16) 10 10 9 C/2 = a0= 2/4 R 2678(26) 10 10 9classical electron radius 940 325(28) 10 10 8 Thomson cross section (8 /3)r2e 245 873(13) 10 10 8electron magnetic moment e 412(80) 10 26J T 10 8to Bohr magneton ratio e/ B 159 652 1859(38) 10 12to nuclear magneton ratio e/ N 971 07(85) 10 10electron magnetic momentanomaly| e|/ B 652 1859(38) 10 10 9electrong-factor 2(1 +ae)ge 319 304 3718(75) 10 12 Page2 Source: Peter J.

4 Mohr and Barry N. Taylor, CODATA Recommended Values of the Fundamental PhysicalConstants: 2002, published in Review of Modern Physics77, 1 (2005).From: Physical Constants Extensive ListingRelative moment ratio e/ 9894(54) 10 8electron-protonmagnetic moment ratio e/ p 6862(66) 10 8electron to shielded protonmagnetic moment ratio e/ p 5956(71) 10 8(H2O, sphere, 25 C)electron-neutronmagnetic moment ratio e/ 50(23) 10 7electron-deuteronmagnetic moment ratio e/ d 493(23) 10 8electron to shielded helion5magnetic moment ratio e/ 255(10) 10 8(gas, sphere, 25 C)electron gyromagnetic ratio2| e|/ h 859 74(15) 1011s 1T 10 8 e/2 28 (24)MHz T 10 8 Muon, muon massm 531 40(33) 10 10 7in u,m =Ar( )u (muonrelative atomic mass times u) 428 9264(30) 10 8energy equivalentm 833 60(29) 10 10 7in 3692(94)

5 10 8muon-electron mass ratiom 2838(54) 10 8muon-tau mass ratiom /m 92(97) 10 10 4muon-proton mass ratiom 609 5269(29) 10 8muon-neutron mass ratiom 454 5175(29) 10 8muon molar massNAm M( ),M 428 9264(30) 10 3kg mol 10 8muon Compton wavelengthh/m c C, 441 05(30) 10 10 8 C, /2 C, 594 298(47) 10 10 8muon magnetic moment 447 99(40) 10 26J T 10 8to Bohr magneton ratio / B 970 45(13) 10 10 8to nuclear magneton ratio / N 596 98(23) 10 8muon magnetic moment anomaly| |/(e h/2m ) 1a 919 81(62) 10 10 7muong-factor 2(1 +a )g 331 8396(12) 10 10muon-protonmagnetic moment ratio / p 345 118(89) 10 8 Tau, tau mass6m 77(52) 10 10 4in u,m =Ar( )u (taurelative atomic mass times u) 68(31) 10 4energy equivalentm 05(46) 10 10 4 Page3 Source: Peter J.

6 Mohr and Barry N. Taylor, CODATA Recommended Values of the Fundamental PhysicalConstants: 2002, published in Review of Modern Physics77, 1 (2005).From: Physical Constants Extensive ListingRelative (29) 10 4tau-electron mass ratiom (57) 10 4tau-muon mass ratiom /m (27) 10 4tau-proton mass ratiom 90(31) 10 4tau-neutron mass ratiom 29(31) 10 4tau molar massNAm M( ),M 68(31) 10 3kg mol 10 4tau Compton wavelengthh/m c C, 72(11) 10 10 4 C, /2 C, 046(18) 10 10 4 Proton, pproton 621 71(29) 10 10 7in u,mp=Ar(p)u (protonrelative atomic mass times u) 276 466 88(13) 10 10energy 277 43(26) 10 10 7in 029(80) 10 8proton-electron mass 672 61(85) 10 10proton-muon mass ratiomp/m 243 33(23) 10 8proton-tau mass ratiomp/m 012(86) 10 4proton-neutron mass 623 478 72(58)

7 10 10proton charge to mass 833 76(82) 107C kg 10 8proton molar massNAmpM(p), 276 466 88(13) 10 3kg mol 10 10proton Compton wavelengthh/mpc C, 409 8555(88) 10 10 9 C,p/2 C, 308 9104(14) 10 10 9proton rms charge (68) 10 10 3proton magnetic moment 606 71(12) 10 26J T 10 8to Bohr magneton ratio p/ 032 206(15) 10 10 8to nuclear magneton ratio p/ 847 351(28) 10 8protong-factor2 p/ 694 701(56) 10 8proton-neutronmagnetic moment ratio p/ n 898 05(34) 10 7shielded proton magnetic moment 570 47(12) 10 26J T 10 8(H2O, sphere, 25 C)to Bohr magneton ratio p/ 993 132(16) 10 10 8to nuclear magneton ratio p/ 775 604(30) 10 8proton magnetic shieldingcorrection1 p/ p (15) 10 10 4(H2O, sphere, 25 C)proton gyromagnetic ratio2 p/ h 222 05(23) 108s 1T 10 8 p/2 4813(37)MHz T 10 8shielded proton gyromagneticratio2 p/ h 153 33(23) 108s 1T 10 8(H2O, sphere, 25 C)Page4 Source: Peter J.

8 Mohr and Barry N. Taylor, CODATA Recommended Values of the Fundamental PhysicalConstants: 2002, published in Review of Modern Physics77, 1 (2005).From: Physical Constants Extensive ListingRelative p/2 3875(37)MHz T 10 8 Neutron, nneutron 927 28(29) 10 10 7in u,mn=Ar(n)u (neutronrelative atomic mass times u) 664 915 60(55) 10 10energy 349 57(26) 10 10 7in 360(81) 10 8neutron-electron mass 6598(13) 10 10neutron-muon mass ratiomn/m 484 02(23) 10 8neutron-tau mass ratiomn/m 740(86) 10 4neutron-proton mass 378 418 70(58) 10 10neutron molar massNAmnM(n), 664 915 60(55) 10 3kg mol 10 10neutron Compton wavelengthh/mnc C, 590 9067(88) 10 10 9 C,n/2 C, 019 4157(14) 10 10 9neutron magnetic moment n 236 45(24) 10 26J T 10 7to Bohr magneton ratio n/ B 875 63(25)

9 10 10 7to nuclear magneton ratio n/ N 042 73(45) 10 7neutrong-factor2 n/ Ngn 085 46(90) 10 7neutron-electronmagnetic moment ratio n/ 668 82(25) 10 10 7neutron-protonmagnetic moment ratio n/ p 979 34(16) 10 7neutron to shielded protonmagnetic moment ratio n/ p 996 94(16) 10 7(H2O, sphere, 25 C)neutron gyromagnetic ratio2| n|/ h 471 83(46) 108s 1T 10 7 n/2 6950(73)MHz T 10 7 Deuteron, ddeuteron 583 35(57) 10 10 7in u,md=Ar(d)u (deuteronrelative atomic mass times u) 553 212 70(35) 10 10energy 062 85(51) 10 10 7in 82(16) 10 8deuteron-electron mass 9652(18) 10 10deuteron-proton mass 007 500 82(41) 10 10deuteron molar massNAmdM(d), 553 212 70(35) 10 3kg mol 10 10deuteron rms charge (28) 10 10 3deuteron magnetic moment 073 482(38) 10 26J T 10 8to Bohr magneton ratio d/ 975 4567(50) 10 10 8to nuclear magneton ratio d/ 438 2329(92) 10 8 Page5 Source: Peter J.

10 Mohr and Barry N. Taylor, CODATA Recommended Values of the Fundamental PhysicalConstants: 2002, published in Review of Modern Physics77, 1 (2005).From: Physical Constants Extensive ListingRelative moment ratio d/ e 345 548(50) 10 10 8deuteron-protonmagnetic moment ratio d/ 012 2084(45) 10 8deuteron-neutronmagnetic moment ratio d/ n 206 52(11) 10 7 Helion, hhelion 412 14(86) 10 10 7in u,mh=Ar(h)u (helionrelative atomic mass times u) 932 2434(58) 10 9energy 538 84(77) 10 10 7in 42(24) 10 8helion-electron mass 269(11) 10 9helion-proton mass 152 6671(58) 10 9helion molar massNAmhM(h), 932 2434(58) 10 3kg mol 10 9shielded helion magnetic moment h 553 024(93) 10 26J T 10 8(gas, sphere, 25 C)to Bohr magneton ratio h/ B 671 474(14) 10 10 8to nuclear magneton ratio h/ N 497 723(25)