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.

User: Chase Roycroft

Chase Roycroft's wiki page.

Chase Roycroft has authored 2 sequences.

A347418 Decimal expansion of the elementary charge in natural units.

Original entry on oeis.org

0, 3, 0, 2, 8, 2, 2, 1, 2
Offset: 1

Views

Author

Chase Roycroft, Sep 01 2021

Keywords

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.

Examples

			0.30282212...

Links

Crossrefs

Cf. A347139 (continued fraction), A003673 (fine structure constant), A005600 (its reciprocal).

Programs

  • Mathematica
    Sqrt[4*Pi*UnitConvert[Quantity["Fine Structure Constant"]]]

A347139 Continued fraction expansion of the elementary charge in natural units.

Original entry on oeis.org

0, 3, 3, 3, 4, 9, 3, 1, 2
Offset: 0

Views

Author

Chase Roycroft, Aug 19 2021

Keywords

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 (A082726) 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.

Examples

			Decimal expansion: 0.30282212...

Links

Crossrefs

Cf. A347418 (decimal expansion).
Related to the fine structure constant (cf. A082726, A003673) and its reciprocal (A005600).

Programs

  • Mathematica
    ContinuedFraction[Sqrt[4*Pi*UnitConvert[Quantity["Fine Structure Constant"]]]]

Formula

No formula for the constant is known.

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