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A082726 Continued fraction expansion of current estimate of the fine-structure constant alpha. 2
0, 137, 27, 1, 3, 1, 1, 16 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

The estimate is continually changing.

The term a(7) is today known to be in between 15 and 17, but most likely equal to 16.

The value refers to the zero-energy limit of the coupling constant. At higher energies the value increases; e.g. at the energy 90 GeV of the Z-boson, it is about 1/128.

LINKS

Wikipedia, Fine-structure constant.

FORMULA

alpha = e^2*c*mu/2h, where e ~ 1.602e-19 is the elementary charge, c = 299792458 m/s the speed of light, mu = pi*4e-7 H/m the vacuum permeability, and h ~ 6.626e-34 Planck's constant.

EXAMPLE

alpha = 0.007 297 352 5698(24) = 1 / 137.035 999 074(44), where values in parentheses indicate uncertainty in the last 2 digits.

CROSSREFS

Cf. A005600.

Sequence in context: A001330 A091510 A134885 * A189998 A138358 A138329

Adjacent sequences:  A082723 A082724 A082725 * A082727 A082728 A082729

KEYWORD

nonn,cofr,hard,more

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), May 21 2003

EXTENSIONS

Value of a(7) corrected by M. F. Hasler (oeis-2011(AT)hasler.fr), Oct 23 2011

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Last modified February 14 16:24 EST 2012. Contains 205635 sequences.