A078302 -id:A078302

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A003676

Decimal expansion of the Planck constant h (Joule * second).
(Formerly M4057)

+10
53

6, 6, 2, 6, 0, 7, 0, 1, 5

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

-33,1

COMMENTS

From Raphie Frank, Dec 17 2012: (Start)

There are at least five different methods of determining Planck's constant (h). Listed below are the best estimate CODATA values for each of these five methods as of December 2012.

6.6260657(88)*10^(-34) J*s - Faraday Constant method.

6.6260678(27)*10^(-34) J*s - Josephson Constant method.

6.62606889(23)*10^(-34) J*s - Watt Balance method.

6.6260724(57)*10^(-34) J*s - Magnetic resonance method.

6.6260745(19)*10^(-34) J*s - X-ray crystal density method. (End)

The latest definition is that the Planck constant h is exactly 6.62607015*10^(-34) J*s, according to the ISO standard (effective on May 20th, 2019). h is one of the seven 1990 SI units, see the second BIPM link and A322415. - Ralf Steiner, Dec 17 2018 and Wolfdieter Lang, Feb 12 2019

REFERENCES

H. J. Fischbeck and K. Fischbeck, Formulas. Facts and Constants, Springer-Verlag, NY, 2nd ed., 1987.

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

Table of n, a(n) for n=-33..-25.

BIPM, On the revision of the SI, BIPM, Nov 11 2018.

BIPM, On the revision of the International System of Units (SI), BIPM, Nov 13-16 2018.

Gavin Clarke, Glorious silicon globes could hold key to elusive PERFECT kilogram, The Register, Nov 20 2012.

NIST Physics Laboratory, Planck constant

James Stein, Planck's Constant: The Number That Rules Technology, Reality, and Life, NOVA's Physics blog, Oct 24 2011.

Stanislav Sýkora, Magnetic Resonance on OEIS, Stan's NMR Blog (Dec 31, 2014), Retrieved Nov 12, 2019.

Eric Weisstein, World of Physics, Planck's Constant

Wikipedia, Planck's constant

Wikipedia, Redefinition of SI base units

EXAMPLE

Planck constant h = 6.62607015 * 10^(-34) J * s. J (Joule) = kg m^2 s^(-1).

CROSSREFS

Cf. A230458 (Δν_{Cs}), A003678 (c), A081823 (e), A070063 (k), A254181 (the reduced Planck constant), A322415.

Cf. decimal expansions of the Planck units: A078300, A078301, A078302, A210491, A246505.

KEYWORD

nonn,cons,fini,full

AUTHOR

N. J. A. Sloane, Mira Bernstein

EXTENSIONS

Corrected and extended by Robert G. Wilson v, Nov 21 2002

Changed the value to conform to latest measurements Robert G. Wilson v, Oct 21 2010

Updated to conform with CODATA 2010 recommended value Raphie Frank, Dec 15 2012

Updated by Omar E. Pol, Dec 11 2016

Updated by Ralf Steiner, Dec 17 2018

Update for May 20 2019 by Wolfdieter Lang, Feb 12 2019

STATUS

approved

A078300

Decimal expansion of Planck length.

+10
6

1, 6, 1, 6, 2

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

-34,2

LINKS

Table of n, a(n) for n=-34..-30.

John Baez, The Planck Length

Tom Crawford, MegaFavNumbers: Planck Length (aka the smallest distance in the universe), Tom Rocks Maths video (2020)

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

Cf. A003676, A078301, A078302.

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.

+10
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

Table of n, a(n) for n=-7..-3.

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

Cf. A003676, A078300, A078302.

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

A210491

Planck temperature T_P.

+10
1

1, 4, 1, 6

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

33,2

REFERENCES

Spectrums, Our Mind-Boggling Universe from Infinitesimal to Infinity, David Blatner, Walker & Co, USA, 2012, p. 121.

LINKS

Table of n, a(n) for n=33..36.

NIST Physics Laboratory, Planck temperature

COSMOS - The SAO Encyclopedia of Astronomy, Planck temperature

NOVA on PBS, Absolute Hot

Wikipedia, Planck temperature

FORMULA

T_P = m*c^2/k, where m (A078301) is the Planck mass, c (A003678) is the speed of light in a vacuum, and k (A070063) is the Boltzmann constant.

EXAMPLE

Planck temperature = 1.416833(85) * 10^32 K, where values in parentheses indicate uncertainty in the 2 digits preceding the parentheses.

CROSSREFS

Cf. A003676, A078300, A078301, A078302.

KEYWORD

cons,nonn

AUTHOR

David Blatner (davidblatner(AT)gmail.com) and Robert G. Wilson v, Jan 23 2013

EXTENSIONS

NIST link updated, three terms removed and minor edits by Felix Fröhlich, Aug 03 2017

STATUS

approved

A235995

Decimal expansion of Planck angular frequency in Hertz.

+10
0

1, 8, 5, 4, 8

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

The Planck angular frequency omegaP is the reciprocal of the Planck time timeP. timeP = 5.391...*10^(-44) seconds with relative uncertainty of order 10^(-5). Values of omegaP in other units are: omegaP = 1.1654 * 10^44 rad per seconds; omegaP = 1.1 * 10^45 revolutions per minute (r.p.m.).

LINKS

Table of n, a(n) for n=1..5.

National Institute of Standards and Technology, Fundamental physical constants, Planck time

Wikipedia, Planck angular frequency

EXAMPLE

1.8548... * 10^43 Hz.

CROSSREFS

Cf. A078302 (Planck time).

KEYWORD

cons,nonn

AUTHOR

Freimut Marschner, Jan 18 2014

EXTENSIONS

Edited by Andrey Zabolotskiy, May 14 2024

STATUS

approved

A255896

Decimal expansion of Planck energy in Joules.

+10
0

1, 9, 5, 6, 1

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

10,2

COMMENTS

The constant plays a fundamental role in a theory of quantum gravity.

LINKS

Table of n, a(n) for n=10..14.

Wikipedia, Quantum gravity

FORMULA

Equals A078301 * A182999 = A254181 / A078302 = sqrt(A254181 * A003678^5 / A070058).

EXAMPLE

Planck energy E(P) = 1.956*10^9 J.

CROSSREFS

Cf. A228817.

KEYWORD

nonn,cons,hard

AUTHOR

Arkadiusz Wesolowski, Mar 10 2015

STATUS

approved

A281961

Decimal expansion of one chronon (in seconds).

+10
0

6, 2, 6, 6, 4, 2, 4

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

-23,1

REFERENCES

Ignazio Licata, "Beyond Peaceful Coexistence: The Emergence of Space, Time and Quantum", Imperial College Press, London, 2016, p. 398.

LINKS

Table of n, a(n) for n=-23..-17.

Wikipedia, Chronon

FORMULA

Equals (2 * A081823^2) / (3 * 10^7 * A081801 * A003678) = A081823^2 / (6 * Pi * A081799 * A081801 * A183000).

EXAMPLE

One chronon = 6.266424 * 10^-24 second.

CROSSREFS

Cf. A078302.

KEYWORD

nonn,cons,more

AUTHOR

Arkadiusz Wesolowski, Feb 03 2017

STATUS

approved

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