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Search: a322578 -id:a322578
Displaying 1-10 of 14 results found. page 1 2
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A003678 Decimal expansion of the SI unit c (speed of light in vacuum), c = 299792458 meters/second.
(Formerly M1912)
+10
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
A081823 Decimal expansion of the elementary charge e in coulombs (C). +10
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
A070063 Decimal expansion of the Boltzmann constant k in the 2019 SI system in units J/K. +10
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
A070064 Decimal expansion of the molar gas constant R according to the 2019 SI system in units J mol^-1 K^-1. +10
16
8, 3, 1, 4, 4, 6, 2, 6, 1, 8, 1, 5, 3, 2, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Wikipedia, Gas constant
FORMULA
Equals A070063 * A322578 = 8.31446261815324 J mol^-1 K^-1. - Jianing Song, Jul 06 2019
CROSSREFS
Cf. A081822 (constant according to IUPAC).
KEYWORD
cons,fini,full,nonn
AUTHOR
Ron Marcinski (ronmarcinski(AT)hotmail.com), Apr 18 2002
EXTENSIONS
Entry fixed by Natan Arie Consigli, Mar 15 2016
Updated to the 2018 CODATA value by Peter Luschny, Jun 18 2019
Updated to the May 20 2019 redefinition of the SI base units by Sean A. Irvine, Jun 20 2019
Name edited by Jianing Song, Jul 06 2019
STATUS
approved
A230458 Decimal expansion of Δν_{Cs} in unit s^{-1}; one of the seven units of the 2019 SI system. +10
13
9, 1, 9, 2, 6, 3, 1, 7, 7, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
10,1
COMMENTS
The second s is defined to be exactly 9192631770 periods of the resonance frequency of the hyperfine transition of the cesium 133 atom.
Prime factors of this number are 2^1, 3^2, 5^1, 7^2, 47^1, 44351^1. - John W. Nicholson, Jun 15 2014
The value was fixed in 1968 by the 13th CGPM in terms of periods of the radiation due to the transition between the two hyperfine levels of the ground state of 133Cs atoms. - Stanislav Sykora, Mar 30 2015
In the 2019 SI system of units (see the BIPM link, and A322415) one of the seven units is Δν_{Cs} = Δν(^{133}Cs)_{hfs} = 9192631770 s^{-1}. - Wolfdieter Lang, Feb 12 2019
LINKS
Bureau International des Poids et Mesures, Unit of time (second)
W. M. Itano and N. F. Ramsey, Accurate measurement of time, Scientific American, 269 (July 1993), 56-65.
N. F. Ramsey, Precise measurement of time, American Scientist, 76 (No. 1, 1988), 42-49.
Wikipedia, Second
FORMULA
Δν_{Cs} = 9192631770 s^{-1}.
EXAMPLE
c = 9192631770 m/s.
MATHEMATICA
IntegerDigits@ 9192631770 (* Michael De Vlieger, Mar 30 2015 *)
CROSSREFS
Cf. A003678 (c), A003676 (h), A081823 (e), A070063 (k), A322578 (N_A), A244823, A322415.
KEYWORD
nonn,cons,fini,full
AUTHOR
N. J. A. Sloane, Oct 19 2013
STATUS
approved
A070062 Decimal expansion of old estimate for Avogadro's constant (in mol^(-1)). +10
3
6, 0, 2, 2, 1, 4, 1, 9, 9 (list; graph; refs; listen; history; text; internal format)
OFFSET
24,1
COMMENTS
For the exact Avogadro constant N_A = 6.02214076*10^23 mol^(-1) according to the 2019 SI system of units see A322578. - Wolfdieter Lang, Feb 12 2019
REFERENCES
CRC Handbook for Chemistry and Physics, 75th edition, (1994-1995), Page 1-1.
LINKS
FORMULA
6.02214199*10^23 per mol.
CROSSREFS
This is the old value - see A087778 and A322578. Cf. A070058-A070060, A070063-A070064.
KEYWORD
dead
AUTHOR
Wolfdieter Lang, Feb 12 2019
EXTENSIONS
Offset corrected by Jianing Song, Jul 06 2019
STATUS
approved
A087778 Decimal expansion of experimental Avogadro's constant (in mol^(-1)). +10
3
6, 0, 2, 2, 1, 4, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
24,1
COMMENTS
Defined to be number of atoms in 12 grams of carbon-12.
This originally was the value as of October 2003.
For the exact Avogadro constant N_A = 6.02214076*10^23 mol^(-1) according to the 2019 SI system of units see A322578. - Wolfdieter Lang, Feb 12 2019
By definition, the "experimental Avogadro's constant" still makes sense in the 2019 SI as the gram to atomic mass unit ratio, but its current value provided by CODATA is (within the experimental error) identical to the exact Avogadro constant and different from an older value provided in this entry. So the value provided here is obsolete anyway. - Andrey Zabolotskiy, Sep 12 2023
REFERENCES
CRC Handbook for Chemistry and Physics, 75th edition, (1994-1995), Page 1-1.
LINKS
P. Becker et al., Determination of the Avogadro constant via the silicon route, Metrologia, 40 (Oct 2003), 271-287.
Eric Weisstein, World of Physics, Avogadro's Number
FORMULA
6.02214179*10^23 +- 3.0*10^16 per mol.
CROSSREFS
KEYWORD
dead
AUTHOR
N. J. A. Sloane, Oct 05 2003
EXTENSIONS
Adapted offset and value to current NIST values by R. J. Mathar, Jul 23 2009
Name edited by Jianing Song, Jun 16 2019
STATUS
approved
A129106 Decimal expansion of proposed value for Avogadro's number, namely 602214141070409084099072 = 84446888^3. +10
3
6, 0, 2, 2, 1, 4, 1, 4, 1, 0, 7, 0, 4, 0, 9, 0, 8, 4, 0, 9, 9, 0, 7, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
24,1
COMMENTS
For the exact value for the Avogadro constant is N_A = 6.02214076*10^{23} mol^{-1} according to the 2019 SI system of units see A322578. - Wolfdieter Lang, Feb 12 2019
LINKS
R. F. Fox and T. P. Hill, An exact value for Avogadro's number, American Scientist, 95 (No. 2, 2007), 104-107.
CROSSREFS
Cf. A087778 (experimental), A322578 (exact).
KEYWORD
nonn,cons,fini,full
AUTHOR
N. J. A. Sloane, May 26 2007
STATUS
approved
A081825 Decimal expansion of atomic mass constant, in kg. +10
2
1, 6, 6, 0, 5, 3, 9, 0, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
-26,2
COMMENTS
From Jianing Song, Nov 26 2023: (Start)
The atomic mass constant (with symbol Da or u) is defined as 1/12 of the mass of an unbound neutral atom of carbon-12 in its nuclear and electronic ground state and at rest.
We have 1.66053906610*10^(-27) kg <= 1 u <= 1.66053906710*10^(-27) kg. Multiplying this by the Avogadro constant (A322578) we get 0.0009999999993533... kg/mol <= (1 u)*N_A <= 0.0009999999999555... kg/mol. In other words, 1 u is strictly less than (but very close to) (0.001 kg/mol)/N_A after the redefinition of SI units in 2019. (End)
LINKS
CROSSREFS
Cf. A081813 (atomic mass constant in MeV/c^2).
KEYWORD
cons,nonn
AUTHOR
Benoit Cloitre, Apr 10 2003
EXTENSIONS
Updated by Ivan Panchenko, Sep 11 2014
Updated from CODATA by Andrey Zabolotskiy, Jan 21 2021
STATUS
approved
A163999 Decimal expansion of the Faraday constant according to the 2019 SI system. +10
1
9, 6, 4, 8, 5, 3, 3, 2, 1, 2, 3, 3, 1, 0, 0, 1, 8, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
5,1
COMMENTS
In C mol^-1. Some use C (mol e^-1)^-1 = C Eq^-1.
The Faraday constant is the magnitude of electric charge per mole of electrons.
LINKS
Wikipedia, Faraday constant
FORMULA
Equals A322578 * A081823. [R. J. Mathar, Mar 23 2010, updated by Jianing Song, Jul 06 2019]
EXAMPLE
Equals 96485.3321233100184 C mol^(-1) (exact). -`Jianing Song, Jul 06 2019
CROSSREFS
KEYWORD
cons,nonn,fini,full
AUTHOR
Omar E. Pol, Aug 09 2009
EXTENSIONS
Removed keywords fini and full - R. J. Mathar, Mar 23 2010
Updated by Natan Arie Consigli, Nov 09 2016
Updated to the May 20 2019 redefinition of the SI base units by Jianing Song, Jul 06 2019
STATUS
approved
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Last modified August 30 11:14 EDT 2024. Contains 375543 sequences. (Running on oeis4.)