The NIST Reference on Constants, Units and Uncertainty

Fundamental Physical Constants
Constants
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fine-structure constant
 $ \alpha = e^2/4{\rm\pi} \epsilon_0 \hbar c $
 Numerical value  7.297 352 5693 x 10-3
 Standard uncertainty  0.000 000 0011 x 10-3
  Relative standard uncertainty  1.5 x 10-10
 Concise form  7.297 352 5693(11) x 10-3    
 
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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