Bohr Radius - Reduced Bohr Radius

Reduced Bohr Radius

The Bohr radius including the effect of reduced mass in the hydrogen atom can be given by the following equation:

where

is the Compton wavelength of the proton.
is the Compton wavelength of the electron.
is the fine structure constant.

In the above equation, the effect of the reduced mass is achieved by using the increased Compton wavelength, which is just the Compton wavelengths of the electron and the proton added together.

Read more about this topic:  Bohr Radius

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