Constants of Physics and Mathematics a selection compiled by Stanislav Sýkora, Extra Byte, Castano Primo, Italy. Stan's Library, ISSN 2421-1230, Vol.I., First release March 1, 2005. Permalink via DOI:  10.3247/SL2Phys07.001 Based on the latest CODATA 2010 values and their successive improvements!
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 This is a constant-at-a-glance list. You can also download a PDF version of this document for off-line use. But keep coming back, the list is growing!

Formats and Notes:

Formats of numeric values
Mantissa[Uncertainty] e±Exponent. The uncertainty, when specified, consists in the probable error in the last two digits of mantissa, enclosed in square brackets. When omitted, the constant is either assigned (see below) or else the error is implicitely [5] units in the first omitted position. The format of the exponent is either e+value or e-value. When the exponent specification is missing, e+0 is intended.
Examples:
2.34567[17] e+2 indicates a quantity with the most probable value of 234.567 and an expected error of ±0.017.
2.34567 e+2 indicates a quantity with the most probable value of 234.567 and an implicit error of ±0.0005.
Bold magenta values indicate constants whose values are assigned by convention
and therefore not subject to experimental assessment. In particular this applies to the speed of light which now indirectly defines the meter, and the permeability of vacuum which fixes the electromagnetic field gauche and indirectly defines the ampere. In turn, these determine the permittivity and characteristic impedance of vacuum, making them assigned as well. The values of assigned constants and some of their functions are listed also on OEIS, the Online Encyclopedia of Integer Sequences. See the generic comments for entry A003678 (speed of light c), as well as these entries:
A182999 (c^2), A019694 (μ0), A081799 (ε0), A213610 (Z0), A072915 (standard gravity), A213611 (standard atmosphere), A213612 (Julian year), A213613 (Gregorian year), A213614 (light-year).
Bold black values indicate physics constants which can not be directly derived from others.
This is potentialy subject to discussion, since the constants form an interconnected net which is carefully fitted to all available experimental data.
Vertical bar is used to separate various alias expressions for a dimension.
Classification does not exactly follow NIST standard but reflects the Author's opinions on what came first - whether the hen or the egg :-)
Conventional values:
a) The conventional (adopted) value of the Josephson constant is used to realize voltage reference devices [Benz 2004].
b) The conventional (adopted) value of the von Klitzing constant is used to realize electric resistance reference devices [Bachmair 2003].
The value of Hubble constant
was estimated by the group of W.Freedman in 1999 as 70±7.0 (km/s)/Megaparsec. Values as low as 50 and as high as 82 km/s/Mp were found in earlier measurements but the latest one is now believed to be in error of not more than 10% (the conversion factor for parsec, taken from the current NIST database, is 3.085678e+16 m). The value reported here corresponds to the latest adjustments adopted by NASA (see Wikipedia).
No attempt was made to report this constant's rate of change, consider too uncertain so far.

References: Constants of Physics, sorted by year and by the first author

• Newcomb Simon,
The Elements Of The Four Inner Planets And The Fundamental Constants Of Astronomy,
Nabu Press 2011. ISBN 978-1178952315. more >>
• Karshenboim Savely G., Peik Ekkehard,
Astrophysics, Clocks and Fundamental Constants,
Springer 2010. ISBN 978-3642060250. more >>
• Nakamura K. et al (Particle Data Group),
Review of Particle Physics,
J.Phys.G: Nucl.Part.Phys. 37 075021 (2010).
• Fritzsch Harald,
The Fundamental Constants: A Mystery of Physics,
World Scientific Publishing Company 2009. ISBN 978-9812834324. more >>
• Mohr Peter J.,Taylor Barry N., Newell David B.
CODATA recommended values of the fundamental physical constants: 2006,
Rev.Mod.Phys. 80,633-730 (2008). DOI: 10.1103/RevModPhys.80.633.
This is the basic source of CODATA 2010.
• Haensch T., Leschiutta S., Wallard A.J.,
Metrology and Fundamental Constants,
IOS Press 2007. ISBN 978-1586037840. more >>
• Hatch E.,
A Few Simple Facts: From the Electron through the Fundamental Constants,
Lulu.com 2007. ISBN 978-1430307907. more >>
• Gabrielse G., Hanneke D., Kinoshita T., Nio M., Odom B.,
New Determination of the Fine Structure Constant from the Electron g Value and QED,
Phys.Rev.Letters 97, 030802 (2006).
• Odom B., Hanneke D., D'Urso B., Gabrielse G.,
New Measurement of the Electron Magnetic Moment Using a One-Electron Quantum Cyclotron,
Phys.Rev.Letters 97, 030801 (2006).
• Barrow John,
The Constants of Nature:
The Numbers That Encode the Deepest Secrets of the Universe
,
Vintage 2004. ISBN 978-1400032259. more >>.
• Benz S.P., Hamilton C.A.,
Application of the Josephson Effect to Voltage Metrology,
Proc.IEEE 92(10),1617-1629 (2004).
• Frölich C., Lean J.,
Solar Radiative Output and its Variability: Evidence and Mechanisms,
Astron.Astrophys.Rev. 12,273-320 (2004). DOI.
• Karshenboim S.G., Peik E., Editors,
Astrophysics, Clocks and Fundamental Constants,
Springer Verlag 2004. ISBN 978-3540219675. more >>
• Pap J.M., Fox P.A., Frölich C., Editors,
Solar Variability and its Effect on Climate,
in Geophysical Monograph Series, No.141,
American Geophysical Union 2004. ISBN 978-0875904061. more >>
• Landwehr G.,
25 Years of quantum Hall effect: how it all came about,
Physica E 20(1-2), 1-13 (2003).
• Bachmair H. et al,
The von Klitzing resistance standard,
Physica E 20(1-2), 14-23 (2003).
• Conroy R.S.,
Frequency standards, metrology and fundamental constants,
Contemp.Phys. 4444(2), 99-135 (2003).
• Finch S.,
Mathematical Constants,
Cambridge University Press 2003. ISBN 0-521-81805-2. more >>
• Hall J.L.,Ye J.,
Optical Frequency Standards and Measurement,
IEEE Trans.Instrum.Meas. 52(2), 227-231 (2003).
• Hatch E.,
Common Factors of The Fundamental Constants of Particle Physics,
BookSurge Publishing 2003. ISBN 978-1594571749. more >>
• Kragh H.,
Magic Number: A Partial History of the Fine-Structure Constant.
Arch. Hist. Exact. Sci. 57(5),395-431 (2003).
• Uzan J.P.,
The fundamental constants and their variation: observational and theoretical status,
Rev.Mod.Phys. 75(2), 403-455 (2003).
• Marciano W.J.,
Precision measurements and New Physics,
J.Phys. G 29(1), 225-234 (2003).
• Martins , Editor,
The Cosmology of Extra Dimensions and Varying Fundamental Constants,
Springer Verlag 2003. ISBN 978-1402011382. more >>
• Faller J.E.,
Thirty years of progress in absolute gravimetry:
a scientific capability implemented by technological advances
,
Metrologia 39(5), 425-428 (2002).
• Hagiwara K. et al,
Review of Particle Physics,
Phys.Rev. D 66, 010001, 974 p. (2002).
• Fritzsch H.,
Fundamental Constants at High Energy,
Fortschr.Phys. 5050(5-7), 518-524 (2002).
• Becker P.,
History and progress in the accurate determination of the Avogadro constant,
Rep.Prog.Phys. 64(12), 1945-2008 (2001).
• Quinn T.J.,
Recent Advance in Metrology and Fundamental Constants,
Ios Press 2001. ISBN 978-1586031671. more >>
• Varshalovich D.A., Potekhin A.Y., Ivanchik A.V.,
Puzzle Of the Constancy Of Fundamental Constants,
• Varshalovich D.A., Potekhin A.Y., Ivanchik A.V.,
Problems of Cosmological Variability of Fundamental Physical Constants,
Phys. Scr. T95, 76-80 (2001).
• Taylor B.N,
The International System of Units (SI),
NIST Special Publication 330, 2001 Edition (supersedes the 1991 Edition).
• Mohr P.J.,Taylor B.N.,
CODATA recommended values of the fundamental physical constants: 1998,
Rev.Mod.Phys. 72,351-495 (2000).
• Mohr P.J.,Taylor B.N.,
CODATA Recommended Values of the Fundamental Constants,
in Atomic and Molecular Data and Their Applications, Berrington K.A., Bell K.L., Editors, Vol.543,
Melville, New York: American Institute of Physics, 3-16 (2000).
• Basov N.G., Gubin A.,
Quantum Frequency Standards,
IEEE J.Quantum Electron. 6(6), 857-868 (2000).
• Luo J., Hu Z.K.,
Status of measurement of the Newtonian gravitational constant G,
Class.Quantum Grav. 17(12), 2351-2363 (2000).
• Groom D.E. et al.,
Review of particle physics,
Eur.Phys.J. C 15(1-4), 1-878 (2000).
• CODATA Recommended Values of the Fundamental Physical Constants: 1998,
J.Phys.Chem.Ref.Data, 28, No.6, 1999.
• Quinn T.J.,
Practical realization of the definition of the metre (1997),
Metrologia 36(3), 211-244 (1999).
• Johnstone W.D.,
For Good Measure:
The Most Complete Guide to Weights and Measures and Their Metric Equivalents
,
NTC Pub.Group 1998. ISBN 0-844-20851-5. more >>
• The International System of Units (SI),
Bureau International des Poids et Measures (BIPM), 7th Edition, 1998.
• Johnson P.,
The Constants of Nature: A Realist Account,
Ashgate Publishing 1997. ISBN 978-1840141023. more >>
• Cohen E.R.,Taylor B.N.,
The Fundamental Physical Constants,
Phys.Today, Aug. 1996, bg9.
• Cowie, Songaila,
Astrophysical Limits on the Evolution of Dimensionless Physical Constants over Cosmological Time,
Astrophysical Journal 453, 596 (1995).
• Sanders J., Editor,
Atomic Masses and Fundamental Constants,
Springer Verlag 1995. ISBN 978-0306350849. more >>
• Cohen-Tannoudji G.,
Universal Constants in Physics,
McGraw-Hill 1992. ISBN 978-0070116511. more >>
• Sisterna P., Vucetich H.,
Time variation of fundamental constants: Bounds from geophysical and astronomical data,
Physical Review D, 41, 1034 (1990), 44, 3096 (1991).
• De Sabbata V., Melnikov V.N., Editors,
Gravitational Measurements, Fundamental Metrology, and Constants,
NATA ASI Series C: Vol.230
D.Reidel Pub.Co. 1988. ISBN 978-9027727091. more >>
• Petley B.W.,
Fundamental Physical Constants and the Frontier of Measurement,
Adam Hilger 1985. ISBN 978-0852744277. more >>
• Lucas A.A., Cutler P.H., North A.,
Quantum Metrology and Fundamental Physical Constants,
Springer Verlag 1983. ISBN 978-0306413728. more >>
• Richard E., Crowe K.M., Cohen J.W.M.D.,
The Fundamental Constants of Physics,
Intersience Publishers 1957. more >>
• DuMond J.W.M.,Cohen R.,
Least Squares Adjustment of the Atomic Constants,
Rev.Mod.Phys. 25, 691 (1952).
• Furth R.,
The Limits of Measurement,
Scientific American. 183 (1), 48 (1950).
• Birge R.T.,
Probable Values of General Physics Constants,
Rev.Mod.Phys. 1 (Supplement), 1-73 (1929). DOI Link.

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