R∞ · Rydberg constant

뤼드베리 상수

Takeaway

The relative standard uncertainty fell by a factor of about 91,669 from the 1969 to the 2022 edition (1.0×10⁻⁷ → 1.1×10⁻¹²): 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 6 outside ±2σ (the bar doubled); the normal expectation is about 1 in 3 and 1 in 22.
The largest move between editions came in 2014→2018, at 5.1 times the combined standard uncertainty of the two editions (|z| = 5.1).

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	1.09737312(11) e7	1.1×10⁰	1.0×10⁻⁷		0.3347	477 table XXXII
1973	1.097373177(83) e7	8.3×10⁻¹	7.6×10⁻⁸	0.4136	−0.2432	718 table 33.1
1986	10973731.534(13)	1.3×10⁻²	1.2×10⁻⁹	−0.2843	2.6275	codata86 p.8 table 2
1998	10 973 731.568 549(83)	8.3×10⁻⁵	7.6×10⁻¹²	2.6576	−4.7229	1998 ASCII:275
2002	10 973 731.568 525(73)	7.3×10⁻⁵	6.7×10⁻¹²	−0.2171	−5.0411	2002 ASCII:279
2006	10 973 731.568 527(73)	7.3×10⁻⁵	6.7×10⁻¹²	0.0194	−5.0685	2006 ASCII:281
2010	10 973 731.568 539	5.5×10⁻⁵	5.0×10⁻¹²	0.1313	−6.9455	2010 ASCII:294
2014	10 973 731.568 508	6.5×10⁻⁵	5.9×10⁻¹²	−0.3641	−5.4000	2014 ASCII:294
2018	10 973 731.568 160	2.1×10⁻⁵	1.9×10⁻¹²	−5.0946	−0.1429	2018 ASCII:308
2022	10 973 731.568 157	1.2×10⁻⁵	1.1×10⁻¹²	−0.1240		2022 ASCII:309