The NIST Reference on Constants, Units and Uncertainty

Fundamental Physical Constants
Constants
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Thomson cross section
 $ \sigma_{\rm e} = (8{\rm\pi}/3)r_{\rm e}^2 = (8{\rm\pi}/3)\alpha^4 a_0^2$
 Numerical value  6.652 458 7051 x 10-29 m2
 Standard uncertainty  0.000 000 0062 x 10-29 m2
  Relative standard uncertainty  9.3 x 10-10
 Concise form  6.652 458 7051(62) x 10-29 m2    
 
Click here for correlation coefficient of this constant with other constants
Source: 2022 CODATA     
recommended values 		 Definition of
uncertainty 		      Correlation coefficient with
any other constant

 
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