The Bohr Model of a Hydrogen Atom

Spectra of atoms, primarily hydrogen, also required the development of a completely new approach. This approach was suggested by Bohr, who formulated the theory of the hydrogen atom (Nobel Prize, 1922). Today it is considered to be semi-quantitative although it has not lost its significance. 

Bohr s planetary model of the atom states that electrons in a hydrogen atom move in a circular orbit of radius r around a proton. The proton is so heavy in comparison with the electron that the center of mass of this system coincides with the position of the nucleus. Following Bohr, calculate the total electron energy. 

Since the orbit radius can apparently take on any value, so can the energy E. The problem of E quantization reduces to quantization of r. 

AU the values listed above are unequivocally connected with r, other values are expressed with its help as well. In particular, the linear electron speed v can be expressed as 

Thus if r is known the orbit parameters K, U, E, v, v, p and L are also known. If any one of them are quantized all others must be also. 

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