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A347418
Decimal expansion of the elementary charge in natural units.
1
0, 3, 0, 2, 8, 2, 2, 1, 2
OFFSET
1,2
COMMENTS
Elementary charge e (A081823) in units of the rationalized Planck charge sqrt(epsilon * h-bar * c), where epsilon = vacuum permittivity (A081799), h-bar = reduced Planck constant (A254181), c = speed of light (A003678).
Similarly, the fine-structure constant (A003673) is the square of the elementary charge in units of the non-rationalized Planck charge sqrt(h-bar * c / k_e) where k_e = 1/(4*Pi*epsilon) is the Coulomb constant. As a result, they are related by e = sqrt(4*Pi*alpha).
Alpha and e are energy-dependent (as described by a beta function). The value given here corresponds to the zero-energy limit.
EXAMPLE
0.30282212...
MATHEMATICA
Sqrt[4*Pi*UnitConvert[Quantity["Fine Structure Constant"]]]
CROSSREFS
Cf. A347139 (continued fraction), A003673 (fine structure constant), A005600 (its reciprocal).
Sequence in context: A209437 A325447 A240660 * A330646 A341905 A354905
KEYWORD
nonn,cons,more
AUTHOR
Chase Roycroft, Sep 01 2021
STATUS
approved