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A082726
Continued fraction expansion of current estimate of the fine-structure constant alpha.
3
0, 137, 27, 1, 3, 1, 1
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.
a(7) is believed to be 17 or 18 according to the revised 2014 CODATA value. - Charles R Greathouse IV, Sep 13 2017
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
CODATA 2014: alpha = 0.007 297 352 5664(17) = 1 / 137.035 999 139(31), where values in parentheses indicate uncertainty in the preceding 2 digits.
CROSSREFS
Cf. A005600.
Sequence in context: A091510 A134885 A259680 * A189998 A138358 A138329
KEYWORD
nonn,cofr,hard,more
AUTHOR
N. J. A. Sloane, May 21 2003
STATUS
approved