What is the Error Range for Planck's Constant in CODATA's Concise Form?

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Planck's constant is experimentally determined, with its value listed by NIST as h=6.626 068 76(52) x 10^-34 J s. The parentheses indicate the uncertainty in the last digits, meaning the true value lies within a specific range. The error range for Planck's constant is between 6.626 068 24 and 6.626 069 28. Unlike mathematical constants like Pi and e, Planck's constant is limited by experimental measurements. Understanding this uncertainty is crucial for precision in scientific calculations.
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OK, we all know there's tons of websites that give the digits of Pi and even e...But does anyone know how many digits we know Plancks constant to? Is experimentally the only way to determine it?
 
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Unlike π and e, which are defined mathematically, h and c are experimental numbers so we do not know them to more digits then have been measured. h is sort of self limiting.
 
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NIST lists the CODATA concise form for Planck's constant as h=6.626 068 76(52) x 10-34 J s.
 
Hm..Ive seen those parenthesis after constants in my textbook...What do they mean? It says something about like theyre not certain about those digits...is that right?
 
()=uncertainty or experimental error(?)
 
Originally posted by Loren Booda
NIST lists the CODATA concise form for Planck's constant as h=6.626 068 76(52) x 10-34 J s.

The (52) is the error in the last digits, so

6.626 068 24 < h < 6.626 069 28
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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