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Search: a003676 -id:a003676
Displaying 1-10 of 53 results found. page 1 2 3 4 5 6
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A003678 Decimal expansion of the SI unit c (speed of light in vacuum), c = 299792458 meters/second.
(Formerly M1912)
+0
76
2, 9, 9, 7, 9, 2, 4, 5, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
9,1
COMMENTS
Since 1983, the speed of light has been defined to be exactly 299792458 m/s. - Ron Marcinski (ronmarcinski(AT)hotmail.com), Apr 18 2002
From Stanislav Sykora, Jun 16 2012: (Start)
General context: Within current metrological systems (SI + IAU definitions), several physics constants have been "assigned" immutable values. They thus became metrological reference points, no longer subject to experimental assessment. These should not be confused with "conventional" values of some empirical quantities (such as Josephson's constant) used in applied metrology, but not assigned, and therefore subject to possible future revisions.
Assigned metrological constants [before the inception of the 2019 SI, which introduced some changes, see below for references] and some of their combinations that appear in the OEIS include the speed of light (this sequence); magnetic permeability of vacuum (A019694); electric permittivity of vacuum (A081799); characteristic impedance of vacuum (A213610); standard gravity acceleration (A072915), standard atmosphere (A213611), Julian year (A213612), Gregorian year (A213613) and the light-year (A213614), all in basic SI units.
(End)
Prime factors of this number are 2^1, 7^1, 73^1, 293339^1. - John W. Nicholson, Jun 15 2014
c is also the speed of gravity. - Omar E. Pol, Jun 23 2017
In the 2019 SI system of units (see the second BIPM link, and A322415) one of the seven defining constants is c = 299792458 m/s. - Wolfdieter Lang, Feb 12 2019 [corrected by Ivan Panchenko, May 20 2019]
REFERENCES
CRC Handbook for Chemistry and Physics, 75th edition, (1994-1995), Page 1-1.
H. J. Fischbeck and K. Fischbeck, Formulas. Facts and Constants, Springer-Verlag, NY, 2nd ed., 1987.
R. F. Fox and T. P. Hill, An exact value for Avogadro's number, American Scientist, 95 (No. 2, 2007), 104-107.
K. R. Lang, Astrophysical Data: Planets and Stars, Springer-Verlag, NY, 1991.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
BIPM, Bureau International des Poids et Mesures, the historic home of SI units (works jointly with NIST).
IAU, International Astronomical Union has accepted SI and added a few definitions of its own.
P. J. Mohr, B. N. Taylor and D. B. Newell, CODATA recommended values of the fundamental physical constants: 2006, Rev.Mod.Phys. 80, 2008, 633-730. DOI: 10.1103/RevModPhys.80.633. (This is the hard-core source of what became CODATA 2010.)
S. Sykora, Constants of Physics and Mathematics, extensive constant-at-a-glance tables.
Eric Weisstein, World of Physics, Speed of Light.
Wikipedia, Speed of gravity.
Wikipedia, Speed of light.
FORMULA
c = 299792458 m/s (equals 299792.458 km/s).
MATHEMATICA
IntegerDigits[299792458] (* Michael De Vlieger, Jun 23 2017 *)
CROSSREFS
More assigned constants: A003676 (h), A230458 (Δν_{Cs}), A081823 (e), A322578 (N_A), A070063 (k), A021687 (1/K_{cd}); A182999 (c^2), A183000 (c^3), A183001 (c^4), A019694, A081799, A213610, A072915, A213611, A213612, A213613, A213614.
KEYWORD
cons,nonn,fini,full
AUTHOR
STATUS
approved
A070058 Decimal expansion of Newton's gravitational constant in SI units. +0
29
6, 6, 7, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
-10,1
COMMENTS
Also called "Newtonian constant of gravitation".
REFERENCES
CRC Handbook of Chemistry and Physics, 75th edition, (1994-1995) Page 1-1
LINKS
O. V. Karagioz & V. P. Izmailov, Newtonian Constant of Gravitation G
C. C. Speake and T. J. Quinn, The Gravitational Constant: Theory and Experiment 200 Years After Cavendish, Measurement Science and Technology, Vol. 10, No. 6 (1999) (see Fig. 1).
M. Tanabashi et al., Review of Particle Physics, Physical Review D, 98, 030001 (2018), Table 2.1
Eric Weisstein, World of Physics, Gravitational Constant
FORMULA
G = c^4/F_P = A183001/A228817. - Omar E. Pol, Jun 30 2014
G = h'*c/(m_P)^2 = A254181*A003678/A078301^2. - Ilya Gutkovskiy, Nov 15 2016
EXAMPLE
6.674 30(15) * 10^(-11) m^3 kg^(-1) s^(-2) according to CODATA 2018 (digits in parentheses represent standard uncertainty).
CROSSREFS
KEYWORD
cons,nonn,bref
AUTHOR
Ron Marcinski (ronmarcinski(AT)hotmail.com), Apr 18 2002
EXTENSIONS
Updated by Omar E. Pol, Sep 01 2009, Sep 01 2012, Nov 14 2016
Three terms removed by Felix Fröhlich, Nov 12 2018
a(-7) from Ivan Panchenko, May 20 2019
STATUS
approved
A070063 Decimal expansion of the Boltzmann constant k in the 2019 SI system in units J/K. +0
23
1, 3, 8, 0, 6, 4, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
-22,2
COMMENTS
The exact Boltzmann constant is one of the seven units in the 2019 system of units. See the BIMP link with the CGPM resolutuions from November 2018 which will become effective May 20 2019. See also A322415. - Wolfdieter Lang, Feb 12 2019
REFERENCES
CRC Handbook for Chemistry and Physics, 75th edition, (1994-1995), Page 1-1.
LINKS
BIPM, CGPM-2018 [See the link ``Resolutions of the CGPM" there.]
Eric Weisstein, World of Physics, Boltzmann's Constant
FORMULA
k = 1.380649×10^{-23} J/K. Joule J = kg m^2 s^(-2).
CROSSREFS
Cf. A003678 (c), A230458 (Δν_{Cs}), A003676 (h), A081823 (e), A322578 (N_A), A322415.
KEYWORD
nonn,cons,fini,full
AUTHOR
Ron Marcinski (ronmarcinski(AT)hotmail.com), Apr 18 2002
EXTENSIONS
Updated to conform with CODATA 2010 value by Ivan Panchenko, Jan 27 2015
Further updates from Wolfdieter Lang, Feb 12 2019
Edited by N. J. A. Sloane, May 26 2019
STATUS
approved
A078300 Decimal expansion of Planck length. +0
6
1, 6, 1, 6, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
-34,2
LINKS
Peter J. Mohr, David B. Newell, and Barry N. Taylor, CODATA recommended values of the fundamental physical constants: 2014, arXiv preprint arXiv:1507.07956 [physics.atom-ph], 2015; Rev. Mod. Phys. 88, 035009 (Published 26 September 2016).
NIST Physics Laboratory, Planck length
Eric Weisstein, World of Physics, Planck Length
EXAMPLE
Planck length = 1.6162... * 10^(-35) meters.
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Robert G. Wilson v, Nov 21 2002
EXTENSIONS
a(-38) corrected and a(-39) and a(-40) added by Omar E. Pol, Jan 05 2011
Updated to conform with CODATA 2010 recommended value by Raphie Frank, Dec 16 2012
Updated by N. J. A. Sloane, Aug 18 2017 based on an email from L. Edson Jeffery, Aug 14 2017
Excessive digits dropped by Andrey Zabolotskiy, Jan 20 2021
STATUS
approved
A078301 Decimal expansion of Planck mass. +0
6
2, 1, 7, 6, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
-7,1
COMMENTS
The estimate is subject to further revision in the future as it is dependent upon the value of G, the gravitational constant.
LINKS
NIST Physics Laboratory, Planck mass
Eric Weisstein's World of Physics, Planck Mass
Wikipedia, Planck mass
EXAMPLE
Planck mass = 2.176 434(24) * 10^(-8) kilograms.
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Robert G. Wilson v, Nov 21 2002
EXTENSIONS
Updated sequence to reflect most current data as of December 2012 by Raphie Frank, Dec 13 2012
Updated by Ivan Panchenko, May 30 2019
STATUS
approved
A078302 Decimal expansion of Planck time (in seconds). +0
7
5, 3, 9, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
-43,1
COMMENTS
This value is subject to further revision in the future as it is dependent upon the value of G, the gravitational constant, and h, Planck's constant.
LINKS
NIST Physics Laboratory, Planck time
Eric Weisstein, World of Physics, Planck Time
Wikipedia, Planck time
EXAMPLE
Planck time = 5.391247(60) * 10^-44 second.
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Robert G. Wilson v, Nov 21 2002
EXTENSIONS
Updated to conform with CODATA 2010 recommended value by Raphie Frank, Dec 16 2012
Excessive digits dropped by Andrey Zabolotskiy, Jan 21 2021
STATUS
approved
A081799 Decimal expansion of the electric permittivity of vacuum in SI units as defined before 20 May 2019. +0
16
8, 8, 5, 4, 1, 8, 7, 8, 1, 7, 6, 2, 0, 3, 8, 9, 8, 5, 0, 5, 3, 6, 5, 6, 3, 0, 3, 1, 7, 1, 0, 7, 5, 0, 2, 6, 0, 6, 0, 8, 3, 7, 0, 1, 6, 6, 5, 9, 9, 4, 4, 9, 8, 0, 8, 1, 0, 2, 4, 1, 7, 1, 5, 2, 4, 0, 5, 3, 9, 5, 0, 9, 5, 4, 5, 9, 9, 8, 2, 1, 1, 4, 2, 8, 5, 2, 8, 9, 1, 6, 0, 7, 1, 8, 2, 0, 0, 8, 9, 3, 2, 8, 6, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
-11,1
COMMENTS
Denoted epsilon_0, this is a function of assigned metrological constants. Regarding these, see A003678 for general context notes, references and links. - Stanislav Sykora, Jun 16 2012
Also called electric constant. - Omar E. Pol, Oct 17 2013
The new value as defined after 20 May 2019 is (8.8541878128 +- 0.0000000013) * 10^(-12) F/m. - Jianing Song, Mar 13 2021
The new value after the redefinition is equal to A081823^2/(2 * A003673 * A003676 * A003678). - Jianing Song, Aug 11 2022
LINKS
FORMULA
Equals 10^6/(A019694*A003678^2). - R. J. Mathar, May 05 2006; corrected by Arkadiusz Wesolowski, Feb 03 2017
Explicitely: 1/([magnetic_permeability of vacuum]*[speed_of_light in vacuum]^2). - Stanislav Sykora, Jun 16 2012
Also 625000/(22468879468420441*Pi). - Omar E. Pol, Oct 17 2013
EXAMPLE
8.854187817...*10^-12 F m^-1.
MAPLE
Digits := 105 : A003678 := 2.99792458e8 : A019694 := 4*Pi*1.0e-7 ; evalf(1/A019694/A003678^2) ; # R. J. Mathar, May 05 2006
CROSSREFS
Other assigned constants: A003678, A182999, A019694, A213610, A072915, A213611, A213612, A213613, A213614.
KEYWORD
cons,nonn
AUTHOR
Benoit Cloitre, Apr 10 2003
EXTENSIONS
More terms from R. J. Mathar, May 05 2006
Description updated by Ivan Panchenko, May 22 2019
STATUS
approved
A081819 Decimal expansion of Wien wavelength displacement law constant. +0
2
2, 8, 9, 7, 7, 7, 1, 9, 5, 5, 1, 8, 5, 1, 7, 2, 6, 6, 1, 4, 7, 8, 6, 0, 5, 4, 4, 8, 0, 9, 2, 8, 8, 4, 7, 2, 6, 8, 0, 1, 6, 2, 8, 3, 0, 3, 0, 7, 1, 8, 5, 4, 4, 4, 0, 6, 3, 0, 7, 7, 4, 0, 1, 4, 0, 1, 5, 9, 1, 0, 6, 5, 6, 7, 6, 0, 7, 1, 3, 0, 5, 8, 5, 4, 6, 4, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
-2,1
LINKS
FORMULA
b = 2.89777...*10^-3 m K
KEYWORD
nonn,cons
AUTHOR
Benoit Cloitre, Apr 10 2003
EXTENSIONS
Edited by Andrey Zabolotskiy, Jun 23 2017
Updated to the exact value according to the 2019 SI redefinition by Andrey Zabolotskiy, Aug 25 2020
Name clarified by Lee A. Newberg, Oct 14 2022
STATUS
approved
A081820 Decimal expansion of the Stefan-Boltzmann constant sigma in the 2019 SI system in units Watt/(m^2*K^4). +0
0
5, 6, 7, 0, 3, 7, 4, 4, 1, 9, 1, 8, 4, 4, 2, 9, 4, 5, 3, 9, 7, 0, 9, 9, 6, 7, 3, 1, 8, 8, 9, 2, 3, 0, 8, 7, 5, 8, 4, 0, 1, 2, 2, 9, 7, 0, 2, 9, 1, 3, 0, 3, 6, 8, 2, 4, 0, 5, 4, 6, 1, 7, 3, 7, 0, 5, 3, 9, 4, 8, 1, 6, 0, 6, 2, 6, 5, 2, 3, 3, 2, 6, 0, 8, 2, 5, 7, 1, 8, 5, 7, 7, 7, 0, 4, 4, 6, 8, 8, 7, 0, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
-7,1
COMMENTS
From Jeremy Tan, Jun 13 2019: (Start)
The Stefan-Boltzmann law states that for a black body with temperature T, its radiant emittance j* (power radiated per unit area) is sigma * T^4.
In SI units, all the values in the defining relation in the Formula section are fixed as of May 20 2019 (see the BIPM link), so this constant is also fixed. (End)
LINKS
FORMULA
sigma = 5.6703744... * 10^-8 W m^-2 K^-4
Equals A222609*A070063^4/(A003676^3*A003678^2).
MATHEMATICA
First@ RealDigits@ N[2 Pi^5 (1380649 10^-29)^4 / (15 (662607015 10^-42)^3 299792458^2), 120] (* Jeremy Tan, Jun 13 2019 *)
CROSSREFS
Fixed SI constants used in deriving this constant: A003676 (h), A003678 (c), A070063 (k).
KEYWORD
nonn,cons
AUTHOR
Benoit Cloitre, Apr 10 2003
EXTENSIONS
Edited by Andrey Zabolotskiy, Jun 23 2017
Updated to 2019 SI by Jeremy Tan, Jun 13 2019
STATUS
approved
A081823 Decimal expansion of the elementary charge e in coulombs (C). +0
36
1, 6, 0, 2, 1, 7, 6, 6, 3, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
-18,2
COMMENTS
e is exactly 1.602176634*10^(-19) Coulomb according to the SI definition (effective on May 20, 2019). - Ralf Steiner, Dec 29 2018
See the second BIPM link with the CGPM resolutions and A322415. The elementary charge e is one of the seven units of the 2019 SI system. - Wolfdieter Lang, Feb 12 2019
LINKS
NIST Physics Laboratory, electron volt-joule relationship
NIST Physics Laboratory, elementary charge
Wikipedia, Electronvolt
FORMULA
e = 1.602176634*10^(-19) Coulomb, [C = A s].
EXAMPLE
electron volt, eV = 1.602176634*10^(-19) J.
CROSSREFS
Cf. A003676 (h), A003673 (alpha), A003678 (c), A230458 (Δν_{Cs}), A081799 (epsilon_0), A070063 (k), A322578 (N_A), A322415, A342486 (eV/c^2).
KEYWORD
cons,nonn,full,fini
AUTHOR
Benoit Cloitre, Apr 10 2003
EXTENSIONS
Updated to conform with CODATA 2010 recommended value by Raphie Frank, Dec 29 2012
Updated by Ralf Steiner, Dec 29 2018
STATUS
approved
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Last modified August 30 11:14 EDT 2024. Contains 375543 sequences. (Running on oeis4.)