Bohr radius Totally Explained

Everything about Bohr Radius totally explained

In the Bohr model of the structure of an atom, put forward by Niels Bohr in 1913, electrons orbit a central nucleus. The model says that the electrons orbit only at certain distances from the nucleus, depending on their energy. In the simplest atom, hydrogen, a single electron orbits, and the smallest possible orbit for the electron, that with the lowest energy, is most likely to be found at a distance from the nucleus called the Bohr radius.
According to 2006 CODATA (External Link

), the Bohr radius of hydrogen has a value of 5.2917720859(36) m (for example, approximately 53 pm or 0.53 ångströms). The number in parentheses (36) denotes the uncertainty of the last digits. This value can be computed in terms of other physical constants:

a_0 = frac

,

where ť

lambda_p

is the Compton wavelength of the proton.

lambda_e

is the Compton wavelength of the electron. ť

alpha

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.

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