constants confi

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Table of selected mathematical constantsA bbreviations used: R - Rational number, I - Irrational number (may be algebraic or transcendental), A - Algebraic number (irrational), T - Transcendental number (irrational) Gen - General, nut - Number theory, cht - Chaos theory, Com - Combinatorics, Inf - Information theory, Ana - mathematical analysis symbol Value Name Field N First Described # of Known Digits 0 = 0 Zero Gen R c. 7th-5th century BCE N/A 1 = 1 One, Unity Gen R N/A I = Imaginary unit Gen, Ana A 16th century N/A Π 3.14159 26535 89793 23846 26433 83279 50288 Pi, Archimedes' constant or Ludolph's numberGen, Ana T by c. 2000 BCE 1,241,177,300,000 E 2.71828 18284 59045 23536 02874 71352 66249 Napier's constant, or Euler's number, base of Natural logarithm Gen, Ana T 1618 100,000,000,000 2 1.41421 35623 73095 04880 16887 24209 69807 Pythagoras' constant, square root of two Gen A by c. 800 BCE 137,438,953,444 3 1.73205 08075 68877 29352 74463 41505 87236 Theodorus' constant, square root of three Gen A by c. 800 BCE 5 2.23606 79774 99789 69640 91736 68731 27623 square root of five Gen A by c. 800 BCE 1,000,000 Γ 0.57721 56649 01532 86060 65120 90082 40243 Euler-Mascheroni constant Gen, nut 1735 14,922,244,771 Φ 1.61803 39887 49894 84820 45868 34365 63811 Golden ratio Gen A by 3rd century BCE 100,000,000,000 Ρ 1.32471 79572 44746 02596 09088 54478 09734 Plastic constant nut A 1928 Β* 0.70258 Embree-Trefethen constant nut Δ 4.66920 16091 02990 67185 32038 20466 20161 Feigenbaum constant cht 1975

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Page 1: Constants Confi

Table of selected mathematical constantsA

bbreviations used:

R - Rational number, I - Irrational number (may be algebraic or transcendental), A - Algebraic number (irrational), T - Transcendental number (irrational)

Gen - General, nut - Number theory, cht - Chaos theory, Com - Combinatorics, Inf - Information theory, Ana - mathematical analysis symbol Value Name Field N First Described # of Known Digits

0 = 0 Zero Gen R c. 7th-5th century BCE N/A

1 = 1 One, Unity Gen R N/A

I = Imaginary unit Gen, Ana A 16th century N/A

Π ≈ 3.14159 26535 89793 23846 26433 83279 50288 Pi, Archimedes' constant or Ludolph's number Gen, Ana T by c. 2000 BCE 1,241,177,300,000

E ≈ 2.71828 18284 59045 23536 02874 71352 66249 Napier's constant, or Euler's number, base of Natural logarithm Gen, Ana T 1618 100,000,000,000

√2 ≈ 1.41421 35623 73095 04880 16887 24209 69807 Pythagoras' constant, square root of two Gen A by c. 800 BCE 137,438,953,444

√3 ≈ 1.73205 08075 68877 29352 74463 41505 87236 Theodorus' constant, square root of three Gen A by c. 800 BCE

√5 ≈ 2.23606 79774 99789 69640 91736 68731 27623 square root of five GenA by c. 800 BCE 1,000,000

Γ ≈ 0.57721 56649 01532 86060 65120 90082 40243 Euler-Mascheroni constantGen, nut 1735 14,922,244,771

Φ ≈ 1.61803 39887 49894 84820 45868 34365 63811 Golden ratio Gen Aby 3rd century BCE 100,000,000,000

Ρ ≈ 1.32471 79572 44746 02596 09088 54478 09734 Plastic constant nutA 1928

Β* ≈ 0.70258 Embree-Trefethen constant nut

Δ ≈ 4.66920 16091 02990 67185 32038 20466 20161 Feigenbaum constantcht 1975

Α ≈ 2.50290 78750 95892 82228 39028 73218 21578 Feigenbaum constantcht

C2 ≈ 0.66016 18158 46869 57392 78121 10014 55577 Twin prime constant nut5,020

Page 2: Constants Confi

M1 ≈ 0.26149 72128 47642 78375 54268 38608 69585 Meissel-Mertens constantnut 1866

1874 8,010

B2 ≈ 1.90216 05823 Brun's constant for twin primes nut 1919 10

B4 ≈ 0.87058 83800 Brun's constant for prime quadruplets nut

Λ ≥ –2.7 • 10-9 de Bruijn-Newman constant nut 1950? None

K ≈ 0.91596 55941 77219 01505 46035 14932 38411 Catalan's constant Com15,510,000,000

K ≈ 0.76422 36535 89220 66299 06987 31250 09232 Landau-Ramanujan constantnut 30,010

K ≈ 1.13198 824 Viswanath's constant nut 8

B´L = 1 Legendre's constant nut R N/A

Μ ≈ 1.45136 92348 83381 05028 39684 85892 02744 Ramanujan-Soldner constant nut 75,500

EB ≈ 1.60669 51524 15291 76378 33015 23190 92458 Erdős–Borwein constantnut I

Β ≈ 0.28016 94990 23869 13303 Bernstein's constant[28] Ana

Λ ≈ 0.30366 30028 98732 65859 74481 21901 55623 Gauss-Kuzmin-Wirsing constant Com 1974 385

Σ ≈ 0.35323 63718 54995 98454 Hafner-Sarnak-mccurley constant nut1993

Λ, μ ≈ 0.62432 99885 43550 87099 29363 83100 83724 Golomb–Dickman constantCom, nut 1930

1964

≈ 0.64341 05463 Cahen's constant T 1891 4000

≈ 0.66274 34193 49181 58097 47420 97109 25290 Laplace limit

≈ 0.80939 40205 Alladi-Grinstead constant[29] nut

Λ ≈ 1.09868 58055 Lengyel's constant[30] Com 1992

≈ 3.27582 29187 21811 15978 76818 82453 84386 Lévy's constant nut

Page 3: Constants Confi

Ζ(3) ≈ 1.20205 69031 59594 28539 97381 61511 44999 Apéry's constantI 1979 15,510,000,000

Θ ≈ 1.30637 78838 63080 69046 86144 92602 60571 Mills' constantnut1947 6850

≈ 1.45607 49485 82689 67139 95953 51116 54356 Backhouse's constant[31]

≈ 1.46707 80794 Porter's constant[32] nut 1975

≈ 1.53960 07178 Lieb's square ice constant[33] Com 1967

≈ 1.70521 11401 05367 76428 85514 53434 50816 Niven's constant nut1969

K ≈ 2.58498 17595 79253 21706 58935 87383 17116 Sierpiński's constant

≈ 2.68545 20010 65306 44530 97148 35481 79569 Khinchin's constant nut1934 7350

F ≈ 2.80777 02420 28519 36522 15011 86557 77293 Fransén-Robinson constantAna

L ≈ 0.5 Landau's constant Ana 1

P2 ≈ 2.29558 71493 92638 07403 42980 49189 49039 Parabolic constant GenT

Ω ≈ 0.56714 32904 09783 87299 99686 62210 35555 Omega constant AnaT

≈ 0.187859 MRB constant Gen I 3:13GMT 1/11/1999[34]

250,000 [35]

---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

1.002008392826082 Zeta(9)

1.008349277381922 Zeta(7)

1.030345524216210 exp(Pi)/Pi^E

1.030640834100712 Continued Fractions constant (base 10).

Page 4: Constants Confi

1.034653881897438 one of Hadamard-La-Vallee-Poussin constant

1.036927755143369 Zeta(5)

.1076539192264845 one-ninth constant

1.082323233711138 Zeta(4)

0.01084101512231113 The Trott Constant

1.098612288668109 log(3)

1.098641964394156 The Paris constant

1.098685805525187 Lengyel constant

1.128787029908125 Gamma(5/6)

1.144729885849400 log(Pi)

0.114942044853296 Product(cos(Pi/n),n=3..infinity

1.175201193643801 Sinh(1)

1.176280818259917 smallest known Salem number

1.189207115002721 sqrt(sqrt(2))

1.199678640257733 solution of exp(x)(x-1) = exp(-x)(x+1)

1.202056903159594 Zeta(3)

1.225416702465177 GAMMA(3/4)

1.226742010720353 Fibonacci factorial constant

.1234567891011121 Champernowne number

1.259921049894873 2^1/3

1.261859507142914 log(4)/log(3)

1.282427129100622 Glaisher-Kinkelin constant

1.291285997062663 sum(1/n^n,n=1..inf)

1.296210659593309 A Salem number of degree 38

1.303577269034296 Conway constant

1.306377883863080 Mills Constant

1.324717957244746 Smallest Pisot-Vijayaraghavan number

Page 5: Constants Confi

1.354117939426400 GAMMA(2/3)

1.395485972479302 Hard hexagons constant

14.13472514173469 First zero of Riemann Zeta function

1.414213562373095 sqrt(2)

1.442249570307408 3^1/3

1.442695040888963 1/log(2)

1.444667861009766 e^1/e

1.456074948582689 Backhouse constant

1.461632144968362 Minimal x of GAMMA(x)

1.467078079433975 Porter's constant

.1475836176504332 arctan(1/2)/Pi

.1490279983517850 Gamma(0) of Conway

15.15426224147926 Exp(E)

1.543080634815243 Cosh(1)

1.584962500721156 log(3)/log(2)

1.609437912434100 log(5)

1.618033988749894 Golden ratio= (1+sqrt(5))/2 = phi

1.628160129718917 a Flajolet constant

1.636616323351260 Sum(1/(p*log(p)),p = prime)

1.644934066848226 Zeta(2)

1.705211140105367 Niven Constant

1.732050807568877 sqrt(3)

1.745405662407346 Khintchine Harmonic Constant

1.747564594633182 Madelung constant

1.763222834351896 1/W(1)

1.781072417990197 exp(gamma)

1.782213978191369 Grothendieck majorant

Page 6: Constants Confi

1.787231650182965 Komornik-Loreti constant

1.833772651680271 Solution of Zeta(x)=x

1.837877066409345 log(2*Pi)

1.839286755214161 Tribonacci Constant

1.851937051982466 Gibbs constant : Si(Pi)

0.1878596424620671 MRB Constant

0.1923155168211845 gamma**3

0.1945280494653251 Dubois-Raymond 2nd constant

19.99909997918947 exp(Pi)-Pi

2.078086921235027 1/log(phi)

.2078795763507619 exp(-Pi/2)

.2078862249773545 -Zeta(-1/2)

2.193280050738015 exp(Pi/4)

2.236067977499789 sqrt(5)

.2245172519832320 gamma**E

22.45915771836104 Pi**e

2.302566137163630 a Flajolet constant

2.302585092994045 log(10)

23.14069263277926 exp(Pi)

.2357111317192329 Copeland-Erdos constant (prime numbers)

2.428189792098870 product(1+1/n**3,n=1..infinity)

2.449489742783178 sqrt(6)

2.502907875095892 Feigenbaum alpha constant

0.258819403792806 -Ai'(0) or 3**(-1/3)/Gamma(1/3)

2.584981759579253 Sierpinski Constant

0.261497212847642 Hadamard-de-la-Vallee-Poussin constant

2.622057554292119 Lemniscate constant or Gauss constant

Page 7: Constants Confi

2.645751311064590 sqrt(7)

2625374126407687 Ramanujan number : exp(Pi*sqrt(163))

2.665144142690225 Gelfond-Schneider number : 2**sqrt(2)

2.678938534707747 GAMMA(1/3)

2.685452001065306 Khintchine constant

2.718281828459045 exp(1)

2.720699046351326 Pi/2*sqrt(3)

.2801694990238691 Bernstein constant

2.807770242028519 Fransen-Robinson constant

2.82842712474619 sqrt(8)

2.95576528565199 Tree-growth constant

.3010299956639811 LOG10(2)

.3036630028987326 Gauss-Kuzmin-Wirsing

.3039635509270133 3/(Pi**2)

3.141592653589793 Pi

3.162277660168379 sqrt(10)

.3183098861837906 1/Pi

3.275822918721811 Levy constant

.3331779238077186 gamma**2

3.407069165627256 Magata Constant

0.353236371854995 Hafner-Sarnak-mccurley Constant

0.355028053887817 Ai(0) or 3**(-2/3)/Gamma(2/3)

3.625609908221908 GAMMA(1/4)

.3665129205816643 -log(log(2))

.3678794411714423 1/e

.3725074107813666 Real root of Ei(x)

.3739558136192022 Artin constant

Page 8: Constants Confi

.3920728981459733 1-6/(Pi*Pi)

3.922646139209151 -zeta(1,1/2)

.3989422804014326 1/sqrt(2*pi)

.4124540336401075 The Thue-Morse constant

.4146825098511116 Prime numbers coded in binary

.4342944819032518 1/log(10)

.4399240125710253 Second Tree-Growth constant

.4636476090008061 arctan(1/2)

4.669201609102990 Feigenbaum constant

.4749493799879206 Weierstrass constant

.4804530139182014 log(2)*log(2)

.4812118250596034 log(phi)

.5403023058681397 cos(1)

.5495393129816448 -log(gamma)

5.566316001780235 Gamma(1/6)

.5614594835668851 exp(-gamma)

.5671432904097838 W(1)

.5772156649015328 gamma or Euler constant

.5819486593172907 2nd order Landau-Ramanujan Constant

.5926327182016361 Lehmer constant

.5963473623231940 -exp(1)*Ei(-1)

.6045997880780726 sum(1/n/binomial(2*n,n),n=1..infinity)

.6243299885435508 Golomb constant

.6434105462883380 Cahen constant

6.580885991017920 The Froda constant : 2**E

0.06598803584531253 exp(-e)

.6601618158468695 Twin primes constant

Page 9: Constants Confi

.6617071822671762 Robbin's constant

.6627434193491815 Laplace Limit constant

.6922006275553463 (1/E)^(1/E)

.6931471805599453 log(2)

.6977746579640079 besseli(1,2)/besseli(0,2)

.7052301717918009 Sum of product of inverse of primes

.7098034428612913 Rabbit Constant

.7147827007912942 Traveling Salesman Constant

.7363998587187150 sum(1/binomial(2*n,n),n=1..infinity)

7.389056098930650 exp(2)

.7475979202534114 parking constant or Renyi constant

.7642236535892206 Landau-Ramanujan constant

.7945071927794792 Kolakoski Constant

.8116869215447793 a Flajolet constant

.8164215090218931 sum(1/2**(2**n),n=0..inf)

.8414709848078965 sin(1)

.8472130847939790 A.G.M. of (1,sqrt(2)/2)

.8660254037844386 sqrt(3)/2

.8711570464148937 a Flajolet constant

.8856031944108887 minimal point of GAMMA(x)

.9068996821171089 Pi/(2*sqrt(3))

.9159655941772190 Catalan constant

9.289025491920818 1/(One-ninth constant)

.9375482543158437 -Zeta'(2)

9.869604401089358 Pi*Pi

Page 10: Constants Confi

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Http://physics.nist.gov/physrefdata/codata86/codata86.html. #

Constant Symbol Value Units

1 Speed of light in vacuum (c) 299792458 m s-1

2 Permeability of vacuum (mu_0) 1.25663706143592e-06 N A-2

3 Permittivity of vacuum (epsilon_0) 8.854187817e-12 F m-1

4 Newtonian constant of gravitation (G) 6.67259e-11 ± 8.5e-15 m3 kg-1 s-2

5 Planck constant (h) 6.6260755e-34 ± 4.0e-40 J s

6 Planck constant in ev 4.1356692e-15 ± 1.2e-21 ev s

7 h-bar (h-bar) 1.05457266e-34 ± 6.3e-41 J s

8 h-bar in ev 6.582122e-16 ± 2.0e-22 ev s

9 Planck mass (m_p) 2.17671e-08 ± 1.4e-12 kg

10 Planck length (l_p) 1.61605e-35 ± 1.0e-39 m

11 Planck time (t_p) 5.39056e-44 ± 3.4e-48 s

12 Elementary charge (e) 1.60217733e-19 ± 4.9e-26 C

13 Magnetic flux quantum (Phi_0) 2.06783461e-15 ± 6.1e-22 Wb

14 Josephson frequency-voltage quotient 483597670000000 ± 1.4e+08V-1 s-1

15 Quantized Hall conductance 3.87404614e-05 ± 1.7e-12 Omega-1

16 Quantized Hall resistance (R_H) 25812.8056 ± 0.0012 Omega

17 Bohr magneton (mu_B) 9.2740154e-24 ± 3.1e-30 J T-1

18 Bohr magneton in ev 5.78838263e-05 ± 5.2e-12 ev T-1

19 Bohr magneton in Hz 13996241800 ± 4200 T-1 s-1

20 Bohr magneton in wavenumbers 46.686437 ± 1.4e-05m-1 T-1

21 Bohr magneton in kelvins 0.6717099 ± 5.7e-06K T-1

Page 11: Constants Confi

22 Nuclear magneton (mu_N) 5.0507866e-27 ± 1.7e-33 J T-1

23 Nuclear magneton in ev 3.15245166e-08 ± 2.8e-15 ev T-1

24 Nuclear magneton in Hz 7622591.4 ± 2.3 T-1 s-1

25 Nuclear magneton in wavenumbers 0.0254262281 ± 7.7e-09 m-1 T-1

26 Nuclear magneton in kelvins 0.0003658246 ± 3.1e-09 K T-1

27 Fine structure constant (alpha) 0.00729735308 ± 3.3e-10

28 Inverse fine structure constant 137.0359895 ± 6.1e-06

29 Rydberg constant (Ry) 10973731.534 ± 0.013 m-1

30 Rydberg constant in Hz 3.2898419499e+15 ± 3.9e+06 s-1

31 Rydberg constant in joules 2.1798741e-18 ± 1.3e-24 J

32 Rydberg constant in ev 13.6056981 ± 4.0e-06 ev

33 Bohr radius (a_0) 5.29177249e-11 ± 2.4e-18 m

34 Hartree energy (E_h) 4.3597482e-18 ± 2.6e-24 J

35 Hartree energy in ev 27.2113961 ± 8.1e-06 ev

36 Quantum of circulation 0.000363694807 ± 3.3e-11 m2 s-1

37 Electron mass (m_e) 9.1093897e-31 ± 5.4e-37 kg

38 Electron mass in u 0.000548579903 ± 1.3e-11 u

39 Electron mass in ev 510999.06 ± 0.15 ev

40 Electron-muon mass ratio 0.00483633218 ± 7.1e-10

41 Electron-proton mass ratio 0.000544617013 ± 1.1e-11

42 Electron-deuteron mass ratio 0.000272443707 ± 6e-12

43 Electron-alpha-particle mass ratio 0.000137093354 ± 3e-12

44 Electron specific charge -175881962000 ± -53000 C kg-1

45 Electron molar mass 5.48579903e-07 ± 1.3e-14 kg mol-1

46 Electron Compton wavelength (lambda_C) 2.42631058e-12 ± 2.2e-19 m

47 Electron Compton wavelength over 2 pi (lambda-bar_C) 3.86159323e-13 ± 3.5e-20 m

Page 12: Constants Confi

48 Electron classical radius (r_e) 2.81794092e-15 ± 3.8e-22 m

49 Electron Thomson cross section (sigma_e) 6.6524616e-29 ± 1.8e-35 m2

50 Electron magnetic moment 9.2847701e-24 ± 3.1e-30 J T-1

51 Electron magnetic moment in Bohr magnetons 1.001159652193 ± 1.0e-11

52 Electron magnetic moment in nuclear magnetons 1838.282 ± 3.7e-05

53 Electron magnetic moment anomaly (a_e) 0.001159652193 ± 1.0e-11

54 Electron g-factor (g_e) 2.002319304386 ± 2.0e-11

55 Electron-muon magnetic moment ratio 206.766967 ± 3.0e-05

56 Electron-proton magnetic moment ratio 658.2106881 ± 6.6e-06

57 Muon mass 1.8835327e-28 ± 1.1e-34 kg

58 Muon mass in u 0.113428913 ± 1.7e-08 u

59 Muon mass in ev 105658389 ± 34 ev

60 Muon-electron mass ratio 206.768262 ± 3.0e-05

61 Muon molar mass 0.000113428913 ± 1.7e-11 kg mol-1

62 Muon magnetic moment 4.4904514e-26 ± 1.5e-32 J T-1

63 Muon magnetic moment in Bohr magnetons 0.00484197097 ± 7.1e-10

64 Muon magnetic moment in nuclear magnetons 8.8905981 ± 1.3e-06

65 Muon magnetic moment anomaly (a_mu) 0.001165923 ± 8.4e-09

66 Muon g-factor (g_mu) 2.002331846 ± 1.7e-08

67 Muon-proton magnetic moment ratio 3.18334547 ± 4.7e-07

68 Proton mass (m_p) 1.6726231e-27 ± 1.0e-33 kg

69 Proton mass in u 1.00727647 ± 1.2e-08 u

70 Proton mass in ev 938272310 ± 280 ev

71 Proton-electron mass ratio 1836.152701 ± 3.7e-05

72 Proton-muon mass ratio 8.8802444 ± 1.3e-06

73 Proton specific charge 95788309 ± 29 C kg-1

Page 13: Constants Confi

74 Proton molar mass 0.00100727647 ± 1.2e-11 kg mol-1

75 Proton Compton wavelength (lambda_C,p) 1.32141002e-15 ± 1.2e-22 m

76 Proton magnetic moment 1.41060761e-26 ± 4.7e-33 J T-1

77 Proton magnetic moment in Bohr magnetons 0.001521032202 ± 1.5e-11

78 Proton magnetic moment in nuclear magnetons 2.792847386 ± 6.3e-08

79 Diamagnetic shielding correction for protons (H_2 O, spherical sample, 298.15 K)(sigma_H2O) 2.5689e-05 ± 1.5e-08

80 Shielded proton moment (H_2 O, spherical sample, 298.15 K) (mu_p') 1.41057138e-26 ± 4.7e-33 J T-1

81 Shielded proton moment in Bohr magnetons 0.001520993129 ± 1.7e-11

82 Shielded proton moment in nuclear magnetons 2.792775642 ± 6.4e-08

83 Proton gyromagnetic ratio (gamma_p) 267522128 ± 81 T-1 s-1

84 (gamma_p) 42577469 ± 13 T-1 s-1

85 Proton gyromagnetic ratio, uncorrected (H_2 O, spherical sample, 298.15 K)(gamma_p') 267515255 ± 81 T-1 s-1

86 (gamma_p'/2pi) 42576375 ± 13 T-1 s-1

87 Neutron mass (m_n) 1.6749286e-27 ± 1.0e-33 kg

88 Neutron mass in u 1.008664904 ± 1.4e-08 u

89 Neutron mass in ev 939565630 ± 280 ev

90 Neutron-electron mass ratio 1838.683662 ± 4.0e-05

91 Neutron-proton mass ratio 1.001378404 ± 9e-09

92 Neutron molar mass 0.001008664904 ± 1.4e-11 kg mol-1

93 Neutron Compton wavelength (lambda_C,n) 1.3195911e-15 ± 1.2e-22 m

94 Neutron magnetic moment 9.6623707e-27 ± 4.0e-33 J T-1

95 Neutron magnetic moment in Bohr magnetons 0.00104187563 ± 2.5e-10

Page 14: Constants Confi

96 Neutron magnetic moment in nuclear magnetons 1.91304275 ± 4.5e-07

97 Neutron-electron magnetic moment ratio 0.00104066882 ± 2.5e-10

98 Neutron-proton magnetic moment ratio 0.68497934 ± 1.6e-07

99 Deuteron mass (m_d) 3.343586e-27 ± 2.0e-33 kg

100 Deuteron mass in u 2.013553214 ± 2.4e-08 u

101 Deuteron mass in ev 1875613390 ± 570 ev

102 Deuteron-electron mass ratio 3670.483014 ± 7.5e-05

103 Deuteron-proton mass ratio 1.999007496 ± 6e-09

104 Deuteron molar mass 0.002013553214 ± 2.4e-11 kg mol-1

105 Deuteron magnetic moment (mu_d) 4.3307375e-27 ± 1.5e-33 J T-1

106 Deuteron magnetic moment in Bohr magnetons 0.0004669754479 ± 9.1e-12

107 Deuteron magnetic moment in nuclear magnetons 0.85743823 ± 2.4e-08

108 Deuteron-electron magnetic moment ratio 0.000466434546 ± 9.1e-12

109 Deuteron-proton magnetic moment ratio 0.3070122035 ± 5.1e-09

110 Avagadro constant (N_A) 6.0221367e+23 ± 3.6e+17 mol-1

111 Atomic mass constant (m_u) 1.6605402e-27 ± 1.0e-33 kg

112 Atomic mass constant in ev 931494320 ± 280 ev

113 Faraday constant (F) 96485.309 ± 0.029 C mol-1

114 Molar Planck constant 3.99031323e-10 ± 3.6e-17 J s mol-1

115 (N_A hc) 0.11962658 ± 1.1e-07 J m mol-1

116 Molar gas constant (R) 8.31451 ± 7.0e-05 J mol-1 K-1

117 Boltzmann constant (k) 1.380658e-23 ± 1.2e-28 J K-1

118 Boltzmann constant in ev 8.617385e-05 ± 7.3e-10 ev K-1

119 Boltzmann constant in Hz 20836740000 ± 180000 K-1 s-1

120 Boltzmann constant in wavenumbers 69.50387 ± 0.00059 m-1 K-1

Page 15: Constants Confi

121 Molar volume (ideal gas), STP (V_m) 0.0224141 ± 1.9e-07m3 mol-1

122 Loschmidt constant (n_0) 2.686763e+25 ± 2.3e+20 m-3

123 Stefan-Boltzmann constant (sigma) 5.67051e-08 ± 1.9e-12 W m-2 K-4

124 First radiation constant (c_1) 3.7417749e-16 ± 2.2e-22 W m2

125 Second radiation constant (c_2) 0.01438769 ± 1.2e-07 m K

126 Wien displacement law constant (b) 0.002897756 ± 2.4e-08 m K

127 Electron volt (ev) 1.60217733e-19 ± 4.9e-26 J

128 Atomic mass unit (u) 1.6605402e-27 ± 1.0e-33 kg

129 Standard atmosphere (atm) 101325 Pa

130 Standard acceleration of gravity (g_n) 9.80665 m s-2

131 BIPM-maintained ohm, Omega_69-B1 as of 1 Jan 85 (Omega_B185) 1-1.563e-6 ± 5.0e-08 Omega

132 Drift rate of Omega_69-B1 (domega_69-B1/dt) -0.0566 ± -0.0015 muomega/yr

133 BIPM-maintained volt 483 694 ghz(h/2e) (V_76-B1) 1-7.59e-6 ± 3.0e-07 V

134 BIPM maintained ampere A_BIPM (A_B185) 1-6.03e-6 ± 3.0e-07 A

135 Cu x-unit: (xu(cukalpha1)) 1.00207789e-13 ± 7.0e-20 m

136 Mo x-unit: (xu(mokalpha1)) 1.00209938e-13 ± 4.5e-20 m

137 AA *: (aangstrom-star) 1.00001481e-10 ± 9.2e-17 m

138 Lattice spacing of Si (in vacuum, 295.65 K)(a) 5.4310196e-10 ± 1.1e-16 m

139 Lattice spacing Si (220) plane (d_220) 1.9201554e-10 ± 4.0e-17 m

140 Molar volume of Si (V_m(Si)) 1.20588179e-05 ± 8.9e-12 m3 mol-1

Table Version 1.2