The NIST Reference on Constants, Units and Uncertainty

Fundamental Physical Constants
Constants
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inverse fine-structure constant
 $ \alpha^{-1} = 4{\rm\pi} \epsilon_0 \hbar c/e^2 $
 Numerical value  137.035 999 084
 Standard uncertainty    0.000 000 021
  Relative standard uncertainty  1.5 x 10-10
 Concise form  137.035 999 084(21)    
 
Click here for correlation coefficient of this constant with other constants
Source: 2018 CODATA     
recommended values 		 Definition of
uncertainty 		      Correlation coefficient with
any other constant

 
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