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quantization of the orbits of the Bohr atom

comes from: The atomic structure: light and quantum physics

The Bohr atom is a classical system, where a electron revolves around a positive charge. As a particle in rectilinear motion has a momentum , a particle in circular motion has an angular momentum . Bohr's assumption is that this angular momentum (L = mv ° R) can only be a multiple of the reduced Planck constant (L = nh / 2 p )

Equation (5) predicts that an electron orbits can be linked by a minimum radius, r 0 , called the Bohr radius, which is expressed in terms of fundamental constants. Substituting the values, r = 0.529 ₀ å

The number n is called the principal quantum number, and describes how the electron orbit. The first orbit has a radius of r 0 . The second orbit has a radius of 4 • r ₀ , the third 9 • r ₀ ... etc