Fundamental physical constants

6 Pages·2002·0.076 MB·English

by  E Richard Cohen, B N Taylor, CODATA. Task Group on Fundamental Constants

From:http://physics.nist.gov/constants
Fundamental Physical Constants — Atomic and Nuclear Constants
Relativestd.
Quantity Symbol Value Unit uncert. u
r
General
fine-structureconstante2/4p (cid:15) ¯hc α 7.297352568(24)×10−3 3.3×10−9
0
inversefine-structureconstant α−1 137.03599911(46) 3.3×10−9
Rydbergconstantα2mec/2h R∞ 10973731.568525(73) m−1 6.6×10−12
R∞c 3.289841960360(22)×1015 Hz 6.6×10−12
R∞hc 2.17987209(37)×10−18 J 1.7×10−7
R∞hcineV 13.6056923(12) eV 8.5×10−8
Bohrradiusα/4p R∞ =4p (cid:15)0¯h2/mee2 a0 0.5291772108(18)×10−10 m 3.3×10−9
Hartreeenergye2/4p (cid:15)0a0 =2R∞hc
=α2m c2 E 4.35974417(75)×10−18 J 1.7×10−7
e h
ineV 27.2113845(23) eV 8.5×10−8
quantumofcirculation h/2m 3.636947550(24)×10−4 m2s−1 6.7×10−9
e
h/m 7.273895101(48)×10−4 m2s−1 6.7×10−9
e
Electroweak
Fermicouplingconstant1 G /(h¯c)3 1.16639(1)×10−5 GeV−2 8.6×10−6
F
weakmixingangle2θ (on-shellscheme)
W
sin2θ =s2 ≡1−(m /m )2 sin2θ 0.22215(76) 3.4×10−3
W W W Z W
Electron,e−
electronmass m 9.1093826(16)×10−31 kg 1.7×10−7
e
inu,m =A (e)u(electron
e r
relativeatomicmasstimesu) 5.4857990945(24)×10−4 u 4.4×10−10
energyequivalent m c2 8.1871047(14)×10−14 J 1.7×10−7
e
inMeV 0.510998918(44) MeV 8.6×10−8
electron-muonmassratio me/mm 4.83633167(13)×10−3 2.6×10−8
electron-taumassratio me/mt 2.87564(47)×10−4 1.6×10−4
electron-protonmassratio m /m 5.4461702173(25)×10−4 4.6×10−10
e p
electron-neutronmassratio m /m 5.4386734481(38)×10−4 7.0×10−10
e n
electron-deuteronmassratio m /m 2.7244371095(13)×10−4 4.8×10−10
e d
electrontoalphaparticlemassratio me/ma 1.37093355575(61)×10−4 4.4×10−10
electronchargetomassquotient −e/m −1.75882012(15)×1011 Ckg−1 8.6×10−8
e
electronmolarmassN m M(e),M 5.4857990945(24)×10−7 kgmol−1 4.4×10−10
A e e
Comptonwavelengthh/m c λ 2.426310238(16)×10−12 m 6.7×10−9
e C
λC/2p =αa0 =α2/4p R∞ λC 386.1592678(26)×10−15 m 6.7×10−9
classicalelectronradiusα2a r 2.817940325(28)×10−15 m 1.0×10−8
0 e
Thomsoncrosssection(8p /3)r2 σ 0.665245873(13)×10−28 m2 2.0×10−8
e e
electronmagneticmoment µ −928.476412(80)×10−26 JT−1 8.6×10−8
e
toBohrmagnetonratio µ /µ −1.0011596521859(38) 3.8×10−12
e B
tonuclearmagnetonratio µ /µ −1838.28197107(85) 4.6×10−10
e N
electronmagneticmoment
anomaly|µ |/µ −1 a 1.1596521859(38)×10−3 3.2×10−9
e B e
Page1 Source:PeterJ.MohrandBarryN.Taylor,CODATARecommendedValuesoftheFundamentalPhysical
Constants:2002,tobepublishedinanarchivaljournalin2004.
From:http://physics.nist.gov/constants
Fundamental Physical Constants — Atomic and Nuclear Constants
Relativestd.
Quantity Symbol Value Unit uncert. u
r
electrong-factor−2(1+a ) g −2.0023193043718(75) 3.8×10−12
e e
electron-muon
magneticmomentratio µe/µm 206.7669894(54) 2.6×10−8
electron-proton
magneticmomentratio µ /µ −658.2106862(66) 1.0×10−8
e p
electrontoshieldedproton
magneticmomentratio µ /µ(cid:48) −658.2275956(71) 1.1×10−8
e p
(H O,sphere,25◦C)
2
electron-neutron
magneticmomentratio µ /µ 960.92050(23) 2.4×10−7
e n
electron-deuteron
magneticmomentratio µ /µ −2143.923493(23) 1.1×10−8
e d
electrontoshieldedhelion3
magneticmomentratio µ /µ(cid:48) 864.058255(10) 1.2×10−8
e h
(gas,sphere,25◦C)
electrongyromagneticratio2|µ |/¯h γ 1.76085974(15)×1011 s−1T−1 8.6×10−8
e e
γ /2p 28024.9532(24) MHzT−1 8.6×10−8
e
Muon,µ−
muonmass mm 1.88353140(33)×10−28 kg 1.7×10−7
inu,mm =Ar(m )u(muon
relativeatomicmasstimesu) 0.1134289264(30) u 2.6×10−8
energyequivalent mm c2 1.69283360(29)×10−11 J 1.7×10−7
inMeV 105.6583692(94) MeV 8.9×10−8
muon-electronmassratio mm /me 206.7682838(54) 2.6×10−8
muon-taumassratio mm /mτ 5.94592(97)×10−2 1.6×10−4
muon-protonmassratio mm /mp 0.1126095269(29) 2.6×10−8
muon-neutronmassratio mm /mn 0.1124545175(29) 2.6×10−8
muonmolarmassNAmm M(m ),Mm 0.1134289264(30)×10−3 kgmol−1 2.6×10−8
muonComptonwavelengthh/mm c λC,m 11.73444105(30)×10−15 m 2.5×10−8
λC,m /2π λC,m 1.867594298(47)×10−15 m 2.5×10−8
muonmagneticmoment µm −4.49044799(40)×10−26 JT−1 8.9×10−8
toBohrmagnetonratio µm /µB −4.84197045(13)×10−3 2.6×10−8
tonuclearmagnetonratio µm /µN −8.89059698(23) 2.6×10−8
muonmagneticmomentanomaly
|µm |/(e¯h/2mm )−1 am 1.16591981(62)×10−3 5.3×10−7
muong-factor−2(1+am ) gm −2.0023318396(12) 6.2×10−10
muon-proton
magneticmomentratio µm /µp −3.183345118(89) 2.8×10−8
Tau,τ−
taumass4 mt 3.16777(52)×10−27 kg 1.6×10−4
inu,mt =Ar(t )u(tau
Page2 Source:PeterJ.MohrandBarryN.Taylor,CODATARecommendedValuesoftheFundamentalPhysical
Constants:2002,tobepublishedinanarchivaljournalin2004.
From:http://physics.nist.gov/constants
Fundamental Physical Constants — Atomic and Nuclear Constants
Relativestd.
Quantity Symbol Value Unit uncert. u
r
relativeatomicmasstimesu) 1.90768(31) u 1.6×10−4
energyequivalent mt c2 2.84705(46)×10−10 J 1.6×10−4
inMeV 1776.99(29) MeV 1.6×10−4
tau-electronmassratio mt /me 3477.48(57) 1.6×10−4
tau-muonmassratio mt /mm 16.8183(27) 1.6×10−4
tau-protonmassratio mt /mp 1.89390(31) 1.6×10−4
tau-neutronmassratio mt /mn 1.89129(31) 1.6×10−4
taumolarmassNAmt M(t ),Mt 1.90768(31)×10−3 kgmol−1 1.6×10−4
tauComptonwavelengthh/mt c λC,t 0.69772(11)×10−15 m 1.6×10−4
λC,t /2π λC,t 0.111046(18)×10−15 m 1.6×10−4
Proton,p
protonmass m 1.67262171(29)×10−27 kg 1.7×10−7
p
inu,m =A (p)u(proton
p r
relativeatomicmasstimesu) 1.00727646688(13) u 1.3×10−10
energyequivalent m c2 1.50327743(26)×10−10 J 1.7×10−7
p
inMeV 938.272029(80) MeV 8.6×10−8
proton-electronmassratio m /m 1836.15267261(85) 4.6×10−10
p e
proton-muonmassratio mp/mm 8.88024333(23) 2.6×10−8
proton-taumassratio mp/mt 0.528012(86) 1.6×10−4
proton-neutronmassratio m /m 0.99862347872(58) 5.8×10−10
p n
protonchargetomassquotient e/m 9.57883376(82)×107 Ckg−1 8.6×10−8
p
protonmolarmassN m M(p),M 1.00727646688(13)×10−3 kgmol−1 1.3×10−10
A p p
protonComptonwavelengthh/m c λ 1.3214098555(88)×10−15 m 6.7×10−9
p C,p
λ /2p λ 0.2103089104(14)×10−15 m 6.7×10−9
C,p C,p
protonrmschargeradius R 0.8750(68)×10−15 m 7.8×10−3
p
protonmagneticmoment µ 1.41060671(12)×10−26 JT−1 8.7×10−8
p
toBohrmagnetonratio µ /µ 1.521032206(15)×10−3 1.0×10−8
p B
tonuclearmagnetonratio µ /µ 2.792847351(28) 1.0×10−8
p N
protong-factor2µ /µ g 5.585694701(56) 1.0×10−8
p N p
proton-neutron
magneticmomentratio µ /µ −1.45989805(34) 2.4×10−7
p n
shieldedprotonmagneticmoment µ(cid:48) 1.41057047(12)×10−26 JT−1 8.7×10−8
p
(H O,sphere,25◦C)
2
toBohrmagnetonratio µ(cid:48)/µ 1.520993132(16)×10−3 1.1×10−8
p B
tonuclearmagnetonratio µ(cid:48)/µ 2.792775604(30) 1.1×10−8
p N
protonmagneticshielding
correction1−µ(cid:48)/µ σ(cid:48) 25.689(15)×10−6 5.7×10−4
p p p
(H O,sphere,25◦C)
2
protongyromagneticratio2µ /¯h γ 2.67522205(23)×108 s−1T−1 8.6×10−8
p p
γ /2p 42.5774813(37) MHzT−1 8.6×10−8
p
shieldedprotongyromagnetic
Page3 Source:PeterJ.MohrandBarryN.Taylor,CODATARecommendedValuesoftheFundamentalPhysical
Constants:2002,tobepublishedinanarchivaljournalin2004.
From:http://physics.nist.gov/constants
Fundamental Physical Constants — Atomic and Nuclear Constants
Relativestd.
Quantity Symbol Value Unit uncert. u
r
ratio2µ(cid:48)/¯h γ(cid:48) 2.67515333(23)×108 s−1T−1 8.6×10−8
p p
(H O,sphere,25◦C)
2
γ(cid:48)/2p 42.5763875(37) MHzT−1 8.6×10−8
p
Neutron,n
neutronmass m 1.67492728(29)×10−27 kg 1.7×10−7
n
inu,m =A (n)u(neutron
n r
relativeatomicmasstimesu) 1.00866491560(55) u 5.5×10−10
energyequivalent m c2 1.50534957(26)×10−10 J 1.7×10−7
n
inMeV 939.565360(81) MeV 8.6×10−8
neutron-electronmassratio m /m 1838.6836598(13) 7.0×10−10
n e
neutron-muonmassratio mn/mm 8.89248402(23) 2.6×10−8
neutron-taumassratio mn/mt 0.528740(86) 1.6×10−4
neutron-protonmassratio m /m 1.00137841870(58) 5.8×10−10
n p
neutronmolarmassN m M(n),M 1.00866491560(55)×10−3 kgmol−1 5.5×10−10
A n n
neutronComptonwavelengthh/m c λ 1.3195909067(88)×10−15 m 6.7×10−9
n C,n
λ /2p λ 0.2100194157(14)×10−15 m 6.7×10−9
C,n C,n
neutronmagneticmoment µ −0.96623645(24)×10−26 JT−1 2.5×10−7
n
toBohrmagnetonratio µ /µ −1.04187563(25)×10−3 2.4×10−7
n B
tonuclearmagnetonratio µ /µ −1.91304273(45) 2.4×10−7
n N
neutrong-factor2µ /µ g −3.82608546(90) 2.4×10−7
n N n
neutron-electron
magneticmomentratio µ /µ 1.04066882(25)×10−3 2.4×10−7
n e
neutron-proton
magneticmomentratio µ /µ −0.68497934(16) 2.4×10−7
n p
neutrontoshieldedproton
magneticmomentratio µ /µ(cid:48) −0.68499694(16) 2.4×10−7
n p
(H O,sphere,25◦C)
2
neutrongyromagneticratio2|µ |/¯h γ 1.83247183(46)×108 s−1T−1 2.5×10−7
n n
γ /2p 29.1646950(73) MHzT−1 2.5×10−7
n
Deuteron,d
deuteronmass m 3.34358335(57)×10−27 kg 1.7×10−7
d
inu,m =A (d)u(deuteron
d r
relativeatomicmasstimesu) 2.01355321270(35) u 1.7×10−10
energyequivalent m c2 3.00506285(51)×10−10 J 1.7×10−7
d
inMeV 1875.61282(16) MeV 8.6×10−8
deuteron-electronmassratio m /m 3670.4829652(18) 4.8×10−10
d e
deuteron-protonmassratio m /m 1.99900750082(41) 2.0×10−10
d p
deuteronmolarmassN m M(d),M 2.01355321270(35)×10−3 kgmol−1 1.7×10−10
A d d
deuteronrmschargeradius R 2.1394(28)×10−15 m 1.3×10−3
d
deuteronmagneticmoment µ 0.433073482(38)×10−26 JT−1 8.7×10−8
d
toBohrmagnetonratio µ /µ 0.4669754567(50)×10−3 1.1×10−8
d B
Page4 Source:PeterJ.MohrandBarryN.Taylor,CODATARecommendedValuesoftheFundamentalPhysical
Constants:2002,tobepublishedinanarchivaljournalin2004.
From:http://physics.nist.gov/constants
Fundamental Physical Constants — Atomic and Nuclear Constants
Relativestd.
Quantity Symbol Value Unit uncert. u
r
tonuclearmagnetonratio µ /µ 0.8574382329(92) 1.1×10−8
d N
deuteron-electron
magneticmomentratio µ /µ −4.664345548(50)×10−4 1.1×10−8
d e
deuteron-proton
magneticmomentratio µ /µ 0.3070122084(45) 1.5×10−8
d p
deuteron-neutron
magneticmomentratio µ /µ −0.44820652(11) 2.4×10−7
d n
Helion,h
helionmass3 m 5.00641214(86)×10−27 kg 1.7×10−7
h
inu,m =A (h)u(helion
h r
relativeatomicmasstimesu) 3.0149322434(58) u 1.9×10−9
energyequivalent m c2 4.49953884(77)×10−10 J 1.7×10−7
h
inMeV 2808.39142(24) MeV 8.6×10−8
helion-electronmassratio m /m 5495.885269(11) 2.0×10−9
h e
helion-protonmassratio m /m 2.9931526671(58) 1.9×10−9
h p
helionmolarmassN m M(h),M 3.0149322434(58)×10−3 kgmol−1 1.9×10−9
A h h
shieldedhelionmagneticmoment µ(cid:48) −1.074553024(93)×10−26 JT−1 8.7×10−8
h
(gas,sphere,25◦C)
toBohrmagnetonratio µ(cid:48)/µ −1.158671474(14)×10−3 1.2×10−8
h B
tonuclearmagnetonratio µ(cid:48)/µ −2.127497723(25) 1.2×10−8
h N
shieldedheliontoproton
magneticmomentratio µ(cid:48)/µ −0.761766562(12) 1.5×10−8
h p
(gas,sphere,25◦C)
shieldedheliontoshieldedproton
magneticmomentratio µ(cid:48)/µ(cid:48) −0.7617861313(33) 4.3×10−9
h p
(gas/H O,spheres,25◦C)
2
shieldedheliongyromagnetic
ratio2|µ(cid:48)|/¯h γ(cid:48) 2.03789470(18)×108 s−1T−1 8.7×10−8
h h
(gas,sphere,25◦C)
γ(cid:48)/2p 32.4341015(28) MHzT−1 8.7×10−8
h
Alphaparticle,α
alphaparticlemass ma 6.6446565(11)×10−27 kg 1.7×10−7
inu,ma =Ar(a )u(alphaparticle
relativeatomicmasstimesu) 4.001506179149(56) u 1.4×10−11
energyequivalent ma c2 5.9719194(10)×10−10 J 1.7×10−7
inMeV 3727.37917(32) MeV 8.6×10−8
alphaparticletoelectronmassratio ma /me 7294.2995363(32) 4.4×10−10
alphaparticletoprotonmassratio ma /mp 3.97259968907(52) 1.3×10−10
alphaparticlemolarmassNAma M(a ),Ma 4.001506179149(56)×10−3 kgmol−1 1.4×10−11
1ValuerecommendedbytheParticleDataGroup(Hagiwara,etal.,2002).
2BasedontheratioofthemassesoftheWandZbosonsm /m recommendedbytheParticleDataGroup(Hagiwara,etal.,2002).Thevaluefor
W Z
sin2θWtheyrecommend,whichisbasedonaparticularvariantofthemodifiedminimalsubtraction(MS)scheme,issin2θˆW(MZ)=0.23124(24).
Page5 Source:PeterJ.MohrandBarryN.Taylor,CODATARecommendedValuesoftheFundamentalPhysical
Constants:2002,tobepublishedinanarchivaljournalin2004.
From:http://physics.nist.gov/constants
3Thehelion,symbolh,isthenucleusofthe3Heatom.
4 Thisandallothervaluesinvolvingm arebasedonthevalueofm c2 inMeVrecommendedbytheParticleDataGroup, (Hagiwara, etal.,
τ τ
2002),butwithastandarduncertaintyof0.29MeVratherthanthequoteduncertaintyof−0.26MeV,+0.29MeV.
Page6 Source:PeterJ.MohrandBarryN.Taylor,CODATARecommendedValuesoftheFundamentalPhysical
Constants:2002,tobepublishedinanarchivaljournalin2004.