Fundamental Physical Constants — Complete Listing - RADIOCHEMISTRY

From: physics.constants

Fundamental Physical Constants -- Complete Listing

Relative std.

Quantity

Symbol

Value

Unit

uncert. ur

UNIVERSAL

speed of light in vacuum magnetic constant

electric constant 1/?0c2 characteristic impedance of vacuum ?0/ 0 = ?0c

c, c0

299 792 458

m s-1

?0

4 ? 10-7

N A-2

= 12.566 370 614... ? 10-7 N A-2

0

8.854 187 817... ? 10-12

F m-1

Z0

376.730 313 461...

(exact)

(exact) (exact)

(exact)

Newtonian constant of gravitation

Planck constant in eV s

h/2 in eV s

G G/ c h

6.673(10) ? 10-11 6.707(10) ? 10-39 6.626 068 76(52) ? 10-34 4.135 667 27(16) ? 10-15 1.054 571 596(82) ? 10-34 6.582 118 89(26) ? 10-16

m3 kg-1 s-2 (GeV/c2)-2 Js eV s Js eV s

1.5 ? 10-3 1.5 ? 10-3 7.8 ? 10-8 3.9 ? 10-8 7.8 ? 10-8 3.9 ? 10-8

Planck mass ( c/G)1/2

mP

2.1767(16) ? 10-8

kg

Planck length /mPc = ( G/c3)1/2 lP

1.6160(12) ? 10-35

m

Planck time lP/c = ( G/c5)1/2

tP

5.3906(40) ? 10-44

s

ELECTROMAGNETIC

7.5 ? 10-4 7.5 ? 10-4 7.5 ? 10-4

elementary charge

e

1.602 176 462(63) ? 10-19 C

e/ h

2.417 989 491(95) ? 1014 A J-1

3.9 ? 10-8 3.9 ? 10-8

magnetic flux quantum h/2e

0

conductance quantum 2e2/ h

G0

inverse of conductance quantum G-0 1

Josephson constanta 2e/ h

KJ

von Klitzing constantb

h/e2 = ?0c/2

RK

2.067 833 636(81) ? 10-15 7.748 091 696(28) ? 10-5

12 906.403 786(47) 483 597.898(19) ? 109

Wb S

Hz V-1

25 812.807 572(95)

3.9 ? 10-8 3.7 ? 10-9 3.7 ? 10-9 3.9 ? 10-8

3.7 ? 10-9

Bohr magneton e /2me in eV T-1

nuclear magneton e /2mp in eV T-1

?B

?B/ h ?B/ hc ?B / k

927.400 899(37) ? 10-26 5.788 381 749(43) ? 10-5 13.996 246 24(56) ? 109

46.686 4521(19)

0.671 7131(12)

?N

?N/ h ?N/ hc ?N / k

5.050 783 17(20) ? 10-27 3.152 451 238(24) ? 10-8

7.622 593 96(31) 2.542 623 66(10) ? 10-2 3.658 2638(64) ? 10-4

ATOMIC AND NUCLEAR

General

J T-1 eV T-1 Hz T-1 m-1 T-1 K T-1

J T-1 eV T-1 MHz T-1 m-1 T-1 K T-1

4.0 ? 10-8 7.3 ? 10-9 4.0 ? 10-8 4.0 ? 10-8 1.7 ? 10-6

4.0 ? 10-8 7.6 ? 10-9 4.0 ? 10-8 4.0 ? 10-8 1.7 ? 10-6

fine-structure constant e2/4 0 c

inverse fine-structure constant

-1

7.297 352 533(27) ? 10-3 137.035 999 76(50)

3.7 ? 10-9 3.7 ? 10-9

Page 1

Source: Peter J. Mohr and Barry N. Taylor, CODATA Recommended Values of the Fundamental Physical Constants: 1998, Journal of Physical and Chemical Reference Data, Vol. 28, No. 6, 1999 and Reviews of Modern Physics, Vol. 72, No. 2, 2000.

From: physics.constants

Fundamental Physical Constants -- Complete Listing

Quantity

Symbol

Value

Unit

Relative std. uncert. ur

Rydberg constant 2mec/2h Rhc in eV

R Rc Rhc

10 973 731.568 549(83)

m-1

3.289 841 960 368(25) ? 1015 Hz

2.179 871 90(17) ? 10-18

J

13.605 691 72(53)

eV

7.6 ? 10-12 7.6 ? 10-12 7.8 ? 10-8 3.9 ? 10-8

Bohr radius /4 R = 4 0 2/mee2 Hartree energy e2/40a0 = 2Rhc = 2mec2

in eV

quantum of circulation

a0

0.529 177 2083(19) ? 10-10

Eh

h/2me h/me

4.359 743 81(34) ? 10-18

27.211 3834(11) 3.636 947 516(27) ? 10-4 7.273 895 032(53) ? 10-4

Electroweak

m

J eV m2 s-1 m2 s-1

3.7 ? 10-9

7.8 ? 10-8 3.9 ? 10-8 7.3 ? 10-9 7.3 ? 10-9

Fermi coupling constantc

weak mixing angled W (on-shell scheme) sin2 W = sW2 1 - (mW/mZ)2

GF/( c)3 1.166 39(1) ? 10-5

sin2 W 0.2224(19) Electron, e-

GeV-2

8.6 ? 10-6 8.7 ? 10-3

electron mass in u, me = Ar(e) u (electron relative atomic mass times u)

energy equivalent in MeV

me mec2

9.109 381 88(72) ? 10-31

5.485 799 110(12) ? 10-4 8.187 104 14(64) ? 10-14 0.510 998 902(21)

kg

u J MeV

7.9 ? 10-8

2.1 ? 10-9 7.9 ? 10-8 4.0 ? 10-8

electron-muon mass ratio electron-tau mass ratio electron-proton mass ratio electron-neutron mass ratio electron-deuteron mass ratio electron to alpha particle mass ratio

electron charge to mass quotient electron molar mass NAme Compton wavelength h/mec

C/2 = a0 = 2/4 R classical electron radius 2a0 Thomson cross section (8/3)re2

electron magnetic moment to Bohr magneton ratio to nuclear magneton ratio

electron magnetic moment anomaly |?e|/?B - 1 electron g-factor -2(1 + ae)

me/m? me/m me/mp me/mn me/md me/m

4.836 332 10(15) ? 10-3 2.875 55(47) ? 10-4 5.446 170 232(12) ? 10-4 5.438 673 462(12) ? 10-4 2.724 437 1170(58) ? 10-4 1.370 933 5611(29) ? 10-4

-e/me M(e), Me C

C

re e

-1.758 820 174(71) ? 1011 5.485 799 110(12) ? 10-7 2.426 310 215(18) ? 10-12 386.159 2642(28) ? 10-15 2.817 940 285(31) ? 10-15 0.665 245 854(15) ? 10-28

?e ?e/?B ?e/?N

-928.476 362(37) ? 10-26 -1.001 159 652 1869(41) -1 838.281 9660(39)

ae

1.159 652 1869(41) ? 10-3

ge

-2.002 319 304 3737(82)

3.0 ? 10-8 1.6 ? 10-4 2.1 ? 10-9 2.2 ? 10-9 2.1 ? 10-9 2.1 ? 10-9

C kg-1 kg mol-1

m

m

m m2

4.0 ? 10-8 2.1 ? 10-9 7.3 ? 10-9 7.3 ? 10-9 1.1 ? 10-8 2.2 ? 10-8

J T-1

4.0 ? 10-8 4.1 ? 10-12 2.1 ? 10-9

3.5 ? 10-9 4.1 ? 10-12

electron-muon magnetic moment ratio

?e/??

206.766 9720(63)

3.0 ? 10-8

Page 2

Source: Peter J. Mohr and Barry N. Taylor, CODATA Recommended Values of the Fundamental Physical Constants: 1998, Journal of Physical and Chemical Reference Data, Vol. 28, No. 6, 1999 and Reviews of Modern Physics, Vol. 72, No. 2, 2000.

From: physics.constants

Fundamental Physical Constants -- Complete Listing

Relative std.

Quantity

Symbol

Value

Unit

uncert. ur

electron-proton magnetic moment ratio electron to shielded proton magnetic moment ratio (H2O, sphere, 25 C)

?e/?p ?e/?p

- 658.210 6875(66) - 658.227 5954(71)

1.0 ? 10-8 1.1 ? 10-8

electron-neutron

magnetic moment ratio electron-deuteron

magnetic moment ratio electron to shielded helione

magnetic moment ratio (gas, sphere, 25 C) electron gyromagnetic ratio 2|?e|/

?e/?n

960.920 50(23)

?e/?d

-2 143.923 498(23)

?e/?h

e e/2

864.058 255(10)

1.760 859 794(71) ? 1011 28 024.9540(11) Muon, ?-

2.4 ? 10-7

1.1 ? 10-8

1.2 ? 10-8

s-1 T-1 4.0 ? 10-8 MHz T-1 4.0 ? 10-8

muon mass in u, m? = Ar(?) u (muon relative atomic mass times u)

energy equivalent in MeV

m? m?c2

1.883 531 09(16) ? 10-28

0.113 428 9168(34) 1.692 833 32(14) ? 10-11 105.658 3568(52)

kg

u J MeV

8.4 ? 10-8

3.0 ? 10-8 8.4 ? 10-8 4.9 ? 10-8

muon-electron mass ratio muon-tau mass ratio muon-proton mass ratio muon-neutron mass ratio muon molar mass NAm?

muon Compton wavelength h/m?c C,?/2

muon magnetic moment to Bohr magneton ratio to nuclear magneton ratio

m?/me m?/m m?/mp m?/mn M(?), M?

206.768 2657(63) 5.945 72(97) ? 10-2

0.112 609 5173(34)

0.112 454 5079(34) 0.113 428 9168(34) ? 10-3

kg mol-1

3.0 ? 10-8 1.6 ? 10-4 3.0 ? 10-8 3.0 ? 10-8 3.0 ? 10-8

C,?

C,?

?? ??/?B ??/?N

11.734 441 97(35) ? 10-15 1.867 594 444(55) ? 10-15 -4.490 448 13(22) ? 10-26 -4.841 970 85(15) ? 10-3

-8.890 597 70(27)

m

m J T-1

2.9 ? 10-8 2.9 ? 10-8

4.9 ? 10-8 3.0 ? 10-8 3.0 ? 10-8

muon magnetic moment anomaly |??|/(e /2m?) - 1 muon g-factor -2(1 + a?) muon-proton

magnetic moment ratio

a? g?

??/?p

1.165 916 02(64) ? 10-3 -2.002 331 8320(13)

-3.183 345 39(10) Tau, -

5.5 ? 10-7 6.4 ? 10-10

3.2 ? 10-8

tau massf in u, m = Ar() u (tau relative atomic mass times u)

energy equivalent in MeV

m mc2

3.167 88(52) ? 10-27

1.907 74(31) 2.847 15(46) ? 10-10 1 777.05(29)

kg

u J MeV

1.6 ? 10-4

1.6 ? 10-4 1.6 ? 10-4 1.6 ? 10-4

Page 3

Source: Peter J. Mohr and Barry N. Taylor, CODATA Recommended Values of the Fundamental Physical Constants: 1998, Journal of Physical and Chemical Reference Data, Vol. 28, No. 6, 1999 and Reviews of Modern Physics, Vol. 72, No. 2, 2000.

From: physics.constants

Fundamental Physical Constants -- Complete Listing

Relative std.

Quantity

Symbol

Value

Unit

uncert. ur

tau-electron mass ratio tau-muon mass ratio tau-proton mass ratio tau-neutron mass ratio tau molar mass NAm

m/me m/m? m/mp m/mn M(), M

3 477.60(57)

16.8188(27)

1.893 96(31)

1.891 35(31) 1.907 74(31) ? 10-3

kg mol-1

1.6 ? 10-4 1.6 ? 10-4 1.6 ? 10-4 1.6 ? 10-4 1.6 ? 10-4

tau Compton wavelength h/mc

C,

0.697 70(11) ? 10-15

m

C,/2

C,

0.111 042(18) ? 10-15

m

Proton, p

1.6 ? 10-4 1.6 ? 10-4

proton mass in u, mp = Ar(p) u (proton relative atomic mass times u)

energy equivalent in MeV

mp mpc2

1.672 621 58(13) ? 10-27

1.007 276 466 88(13) 1.503 277 31(12) ? 10-10 938.271 998(38)

kg

u J MeV

7.9 ? 10-8

1.3 ? 10-10 7.9 ? 10-8 4.0 ? 10-8

proton-electron mass ratio proton-muon mass ratio proton-tau mass ratio proton-neutron mass ratio proton charge to mass quotient proton molar mass NAmp

mp/me mp/m? mp/m mp/mn e/mp

M(p), Mp

1 836.152 6675(39)

8.880 244 08(27)

0.527 994(86)

0.998 623 478 55(58) 9.578 834 08(38) ? 107 1.007 276 466 88(13) ? 10-3

C kg-1 kg mol-1

2.1 ? 10-9 3.0 ? 10-8 1.6 ? 10-4 5.8 ? 10-10 4.0 ? 10-8 1.3 ? 10-10

proton Compton wavelength h/mpc C,p/2

proton magnetic moment to Bohr magneton ratio to nuclear magneton ratio

proton g-factor 2?p/?N

C,p

C,p

?p ?p/?B ?p/?N gp

1.321 409 847(10) ? 10-15 0.210 308 9089(16) ? 10-15 1.410 606 633(58) ? 10-26 1.521 032 203(15) ? 10-3

2.792 847 337(29)

5.585 694 675(57)

m

m J T-1

7.6 ? 10-9 7.6 ? 10-9 4.1 ? 10-8 1.0 ? 10-8 1.0 ? 10-8 1.0 ? 10-8

proton-neutron magnetic moment ratio shielded proton magnetic moment (H2O, sphere, 25 C)

to Bohr magneton ratio to nuclear magneton ratio proton magnetic shielding correction 1 - ?p/?p (H2O, sphere, 25 C)

proton gyromagnetic ratio 2?p/

shielded proton gyromagnetic ratio 2?p/ (H2O, sphere, 25 C)

?p/?n ?p

?p/?B ?p/?N

p

-1.459 898 05(34) 1.410 570 399(59) ? 10-26

1.520 993 132(16) ? 10-3 2.792 775 597(31)

25.687(15) ? 10-6

p p/2

p

p/2

2.675 222 12(11) ? 108 42.577 4825(18)

2.675 153 41(11) ? 108

42.576 3888(18) Neutron, n

J T-1

2.4 ? 10-7 4.2 ? 10-8

1.1 ? 10-8 1.1 ? 10-8

5.7 ? 10-4

s-1 T-1 4.1 ? 10-8 MHz T-1 4.1 ? 10-8

s-1 T-1 4.2 ? 10-8

MHz T-1 4.2 ? 10-8

Page 4

Source: Peter J. Mohr and Barry N. Taylor, CODATA Recommended Values of the Fundamental Physical Constants: 1998, Journal of Physical and Chemical Reference Data, Vol. 28, No. 6, 1999 and Reviews of Modern Physics, Vol. 72, No. 2, 2000.

From: physics.constants

Fundamental Physical Constants -- Complete Listing

Relative std.

Quantity

Symbol

Value

Unit

uncert. ur

neutron mass in u, mn = Ar(n) u (neutron relative atomic mass times u)

energy equivalent in MeV

mn mnc2

1.674 927 16(13) ? 10-27

1.008 664 915 78(55) 1.505 349 46(12) ? 10-10 939.565 330(38)

kg

u J MeV

7.9 ? 10-8

5.4 ? 10-10 7.9 ? 10-8 4.0 ? 10-8

neutron-electron mass ratio neutron-muon mass ratio neutron-tau mass ratio neutron-proton mass ratio neutron molar mass NAmn

mn/me mn/m? mn/m mn/mp M(n), Mn

1 838.683 6550(40) 8.892 484 78(27)

0.528 722(86)

1.001 378 418 87(58) 1.008 664 915 78(55) ? 10-3

kg mol-1

2.2 ? 10-9 3.0 ? 10-8 1.6 ? 10-4 5.8 ? 10-10 5.4 ? 10-10

neutron Compton wavelength h/mnc C,n /2

neutron magnetic moment

to Bohr magneton ratio to nuclear magneton ratio

C,n

C,n

?n ?n /?B ?n /?N

1.319 590 898(10) ? 10-15 0.210 019 4142(16) ? 10-15 -0.966 236 40(23) ? 10-26 -1.041 875 63(25) ? 10-3

-1.913 042 72(45)

m

m J T-1

7.6 ? 10-9 7.6 ? 10-9

2.4 ? 10-7 2.4 ? 10-7 2.4 ? 10-7

neutron g-factor 2?n/?N neutron-electron

magnetic moment ratio neutron-proton

magnetic moment ratio neutron to shielded proton

magnetic moment ratio (H2O, sphere, 25 C) neutron gyromagnetic ratio 2|?n|/

gn ?n /?e

-3.826 085 45(90) 1.040 668 82(25) ? 10-3

?n /?p

-0.684 979 34(16)

?n /?p

-0.684 996 94(16)

n n/2

1.832 471 88(44) ? 108 29.164 6958(70)

Deuteron, d

2.4 ? 10-7 2.4 ? 10-7 2.4 ? 10-7 2.4 ? 10-7

s-1 T-1 2.4 ? 10-7 MHz T-1 2.4 ? 10-7

deuteron mass in u, md = Ar(d) u (deuteron relative atomic mass times u)

energy equivalent in MeV

md mdc2

3.343 583 09(26) ? 10-27

2.013 553 212 71(35) 3.005 062 62(24) ? 10-10 1 875.612 762(75)

kg

u J MeV

7.9 ? 10-8

1.7 ? 10-10 7.9 ? 10-8 4.0 ? 10-8

deuteron-electron mass ratio deuteron-proton mass ratio deuteron molar mass NAmd

md/me md/mp M(d), Md

3 670.482 9550(78)

1.999 007 500 83(41) 2.013 553 212 71(35) ? 10-3

kg mol-1

2.1 ? 10-9 2.0 ? 10-10 1.7 ? 10-10

deuteron magnetic moment to Bohr magneton ratio to nuclear magneton ratio

?d ?d /?B ?d /?N

0.433 073 457(18) ? 10-26 0.466 975 4556(50) ? 10-3

0.857 438 2284(94)

J T-1

4.2 ? 10-8 1.1 ? 10-8 1.1 ? 10-8

deuteron-electron magnetic moment ratio deuteron-proton magnetic moment ratio

?d /?e ?d /?p

-4.664 345 537(50) ? 10-4 0.307 012 2083(45)

1.1 ? 10-8 1.5 ? 10-8

Page 5

Source: Peter J. Mohr and Barry N. Taylor, CODATA Recommended Values of the Fundamental Physical Constants: 1998, Journal of Physical and Chemical Reference Data, Vol. 28, No. 6, 1999 and Reviews of Modern Physics, Vol. 72, No. 2, 2000.

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