The NIST Reference on Constants, Units and Uncertainty

Fundamental Physical Constants
Constants
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Constants,
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Uncertainty
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Correlation coefficient between two constants
fine-structure constant
 $\alpha$
 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    
 
Bohr radius
 $a_0$
 Numerical value  5.291 772 109 03 x 10-11 m
 Standard uncertainty  0.000 000 000 80 x 10-11 m
  Relative standard uncertainty  1.5 x 10-10
 Concise form  5.291 772 109 03(80) x 10-11 m    
 
Correlation coefficient r of the above two quantities:
r  =  0.99992
Click here to select a new correlation pair
Source: 2018 CODATA     
recommended values
 
Definition of
uncertainty
 
      Correlation coefficient with
any other constant

 
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