Definition:Fine-Structure Constant/Value

Fine-Structure Constant: Value

\(\ds \alpha\)

\(\approx\)

\(\ds 7 \cdotp 29735 \, 25693 \times 10^{-3}\)

This sequence is A003673 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).

\(\ds \dfrac 1 \alpha\)

\(\approx\)

\(\ds 1 \cdotp 37035 \, 99908 \, 4 \times 10^2\)

This sequence is A005600 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).

Sources

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions ... (previous) ... (next): $2$. Physical Constants and Conversion Factors: Table $2.3$ Adjusted Values of Constants

which gives the mantissas of these figures as:

$7 \cdotp 297 \, 351$ with an uncertainty of $\pm 11$ corresponding to the $2$ least significant figures

$1 \cdotp 370 \, 360 \, 2$ with an uncertainty of $\pm 21$ corresponding to the $2$ least significant figures