A347418 Decimal expansion of the elementary charge in natural units.

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.

Links

Table of n, a(n) for n=1..9.

Ronald Kleiss, Pictures, Paths, Particles, Processes.

Wikipedia, Elementary charge

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

Adjacent sequences: A347415 A347416 A347417 * A347419 A347420 A347421

Keyword

nonn,cons,more

Author

Chase Roycroft, Sep 01 2021

Status

approved