What is the Bohr Wilson Sommerfeld quantization law?

The main tool of the old quantum theory was the Bohr–Sommerfeld quantization condition, a procedure for selecting out certain states of a classical system as allowed states: the system can then only exist in one of the allowed states and not in any other state.

What is Wilson Sommerfeld quantization condition?

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 quantum condition?

According to Bohr’s quantum condition “Only those atomic orbits are allowed as stationary orbits in which angular momentum of an electron is the integral multiple of 2πh​” If m is the mass, v velocity and r radius of orbit, then angular momentum of electron L=mvr. According to Bohr;s quantum condition.

What is the 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.

Why was Bohr model proposed by Bohr?

Bohr Atomic Model : In 1913 Bohr proposed his quantized shell model of the atom to explain how electrons can have stable orbits around the nucleus. To remedy the stability problem, Bohr modified the Rutherford model by requiring that the electrons move in orbits of fixed size and energy.

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 quantum condition?

noun. A condition resulting from, or forming part of, the application of quantum theory to a system; a condition that selects from the states allowed by classical physics those that are consistent with quantum theory.

What is Bohr quantization?

Bohr’s quantization principle states that electrons revolve in a stationary orbit of which energy and momentum are fixed. Momentum of an electron in the fixed orbit is given by nh/2𝜋, where n is the principal quantum number. De – Broglie interprets Bohr’s 2nd postulate in terms of wave nature of the electron.

What is Bohrs quantization condition for the angular momentum of an electron in the third orbit?

Bohr’s quantization condition of angular momentum: According to Bohr, electron can revolve in certain discrete orbits called stationary orbits. The total angular momentum (L) of the revolving electron is integral multiple of h / 2π .

Which of the following equations represent the Bohr quantization condition *?

bohr’s quantization condition of angular momentum i.e., L=nh2π led to the quantization of energy.

Why is Stern-Gerlach experiment important?

The Stern-Gerlach experiment was initially regarded as a crucial test between the classical theory of the atom and the Bohr-Sommerfeld theory. In a sense it was, because it showed clearly that spatial quantization existed, a phenomenon that could be accommodated only within a quantum mechanical theory.