cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A347418 Decimal expansion of the elementary charge in natural units.

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%I A347418 #21 Oct 08 2021 03:01:10
%S A347418 0,3,0,2,8,2,2,1,2
%N A347418 Decimal expansion of the elementary charge in natural units.
%C A347418 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).
%C A347418 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).
%C A347418 Alpha and e are energy-dependent (as described by a beta function). The value given here corresponds to the zero-energy limit.
%H A347418 Ronald Kleiss, <a href="https://indico.nikhef.nl/event/617/attachments/4042/4749/Lectures-Kleiss_P4.pdf">Pictures, Paths, Particles, Processes</a>.
%H A347418 Wikipedia, <a href="https://en.wikipedia.org/wiki/Elementary_charge">Elementary charge</a>
%e A347418 0.30282212...
%t A347418 Sqrt[4*Pi*UnitConvert[Quantity["Fine Structure Constant"]]]
%Y A347418 Cf. A347139 (continued fraction), A003673 (fine structure constant), A005600 (its reciprocal).
%K A347418 nonn,cons,more
%O A347418 1,2
%A A347418 _Chase Roycroft_, Sep 01 2021