The NIST Reference on Constants, Units and Uncertainty

Fundamental Physical Constants
Constants
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inverse fine-structure constant
$\alpha^{-1}$
 Value  137.035 999 074
 Standard uncertainty    0.000 000 044
  Relative standard uncertainty   3.2 x 10-10
 Concise form  137.035 999 074(44)    
 
Click here for correlation coefficient of this constant with other constants
Source: 2010 CODATA     
recommended values 		 Definition of
uncertainty 		      Correlation coefficient with
any other constant

 
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