What is Bohr-Sommerfeld quantization rule?
AN APPROXIMATE RULE for the quantization of the energy of a periodic system with one degree of freedom is given by the well-known Bohr-Sommerfeld (B. quantization rule, which states that the action integral of the system must equal a half-integer times Planck’s constant.
What is wilson Sommerfeld quantization rule?
The hydrogen atom, when treated using Bohr’s admixture of classical and quan- tum concepts involves an electron circulating about a proton (subject to the attractive Coulomb force – (e2 147rfor2) r) in orbits which satisfy the condition: 27rr = nADe Broglie, n = 1, 2, 3 ….
What is Bohr-Sommerfeld model of an atom?
The Bohr-Sommerfeld model is an extension of the Bohr model. It explains the distribution of electrons within the shells. The distribution of electrons in an atom is referred to as electron configuration.
What does Sommerfeld atomic model look like?
(i) According to Sommerfeld, the path of an electron around the nucleus, in general, is an ellipse with the nucleus at one of its foci. (ii) The velocity of the electron moving in an elliptical orbit varies at different parts of the orbit. This causes the relativistic variation in the mass of the moving electron.
What is Bohr quantization condition?
Answer : Bohr’s quantization condition: The angular momentum of an electron in an orbit around the hydrogen atom has to be an integral multiple of Planck’s constant divided by twice π. Let the radius of the shell of the first exited state be r and the speed of electron in the second exited stated be v.
How did Sommerfeld modified Bohr’s atomic theory?
German physicist Arnold Sommerfeld modified Bohr’s theory by quantizing the shapes and orientations of orbits to introduce additional energy levels corresponding to the fine spectral lines.
What is K in Sommerfeld?
k is an integer except zero. Value of k = 1,2,3,4….. n/k = length of major axis / length of minor axis. With increase in value of k , ellipticity of the orbit decreases. When n= k,then orbit is circular.
What did Sommerfeld discover?
As professor of theoretical physics at Munich (1906–31), he did his most important work. His investigations of atomic spectra led him to suggest that, in the Bohr model of the atom, the electrons move in elliptical orbits as well as circular ones. From this idea he postulated the azimuthal quantum number.