α⁻¹ · inverse fine-structure constant

미세 구조 상수의 역수

Takeaway

The relative standard uncertainty fell by a factor of about 10,000 from the 1969 to the 2022 edition (1.5×10⁻⁶ → 1.5×10⁻¹⁰): the error bars narrowed that much.
Of 9 earlier editions with a measured value, 6 have the 2022 value outside ±1σ (the error bar) and 3 outside ±2σ (the bar doubled); the normal expectation is about 1 in 3 and 1 in 22.
The largest move between editions came in 2006→2010, at 5.8 times the combined standard uncertainty of the two editions (|z| = 5.8).

Unit: none (dimensionless)
Note: = 1/α. Included because Henrion & Fischhoff (1986) and the 1973 report compare α⁻¹; the statistics use α only.
M1: Half-life (years): 3.70 (3.33–4.17)

Value ±1σ by edition2022

Relative deviation from the 2022 value (symmetric-log axis). Open circles: the error bar does not reach the 2022 value. Squares: exact.

Editionyear of the recommended values (data cut-off)	As printedexactly as in the source table; digits in parentheses are the standard uncertainty in the last digits	Standard uncertaintyhalf-width of the error bar (±1σ)	Relative standard uncertaintystandard uncertainty ÷ \|value\|: bar width relative to the value	z vs previous editionmove from the previous edition ÷ combined standard uncertainty of the two	z vs 2022(2022 value − this value) ÷ this edition's standard uncertainty	Source locationpage and table of the paper, or file and line of NIST's table
1969	137.03602(21)	2.1×10⁻⁴	1.5×10⁻⁶		−0.0992	477 table XXXII
1973	137.03604(11)	1.1×10⁻⁴	8.0×10⁻⁷	0.0844	−0.3711	717 table 33.1
1986	137.0359895(61)	6.1×10⁻⁶	4.5×10⁻⁸	−0.4584	1.5864	codata86 p.8 table 2
1998	137.035 999 76(50)	5.0×10⁻⁷	3.6×10⁻⁹	1.6763	−1.1660	1998 ASCII:147
2002	137.035 999 11(46)	4.6×10⁻⁷	3.4×10⁻⁹	−0.9567	0.1457	2002 ASCII:148
2006	137.035 999 679(94)	9.4×10⁻⁸	6.9×10⁻¹⁰	1.2119	−5.3404	2006 ASCII:149
2010	137.035 999 074	4.4×10⁻⁸	3.2×10⁻¹⁰	−5.8292	2.3409	2010 ASCII:158
2014	137.035 999 139	3.1×10⁻⁸	2.3×10⁻¹⁰	1.2076	1.2258	2014 ASCII:158
2018	137.035 999 084	2.1×10⁻⁸	1.5×10⁻¹⁰	−1.4689	4.4286	2018 ASCII:168
2022	137.035 999 177	2.1×10⁻⁸	1.5×10⁻¹⁰	3.1315		2022 ASCII:169