What Is the Significance of the Fine Structure Constant 1/137?

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SUMMARY

The Fine Structure Constant, represented as 1/137, is a dimensionless number derived from Bohr's theory, specifically calculated using the formula e²/2hcε₀. This constant fundamentally connects the charge of the electron to quantum mechanics, highlighting its significance in the realm of physics. Its emergence as a dimensionless quantity is notable, as it appears without any inherent dimensions after manipulation involving 2π. For further details, refer to the NIST constants page and related discussions on physics forums.

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  • Understanding of quantum mechanics principles
  • Familiarity with the Bohr model of the atom
  • Knowledge of fundamental physical constants
  • Basic mathematical manipulation involving dimensionless quantities
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Himanshu
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The dimensionless pure number 1/137 obtained from the bohr theory (e^2/2hc epsilon_0) is given a particular name 'The Fine Structure Constant'.

What is the significance of this number? Why has this value a name?
 
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It fundementally ties the charge of the electron to qunatum mechanics - it's also odd that it pops up out of nowhere with no dimensions (after a bit of fiddling with 2pi)
 

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