What is Bohr Sommerfeld quantization rule?

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. -S.) quantization rule, which states that the action integral of the system must equal a half-integer times Planck’s constant.

What is Bohr Sommerfeld model of an atom?

The Bohr–Sommerfeld model (also known as the Sommerfeld model or Bohr–Sommerfeld theory) was an extension of the Bohr model to allow elliptical orbits of electrons around an atomic nucleus. Bohr–Sommerfeld theory is named after Danish physicist Niels Bohr and German physicist Arnold Sommerfeld.

What are limitations of old quantum theory?

The main limitations of the old quantum theory are as follows: (a) It is not applicable to non-periodic system. (b) It cannot explain the relative intensities of the spectral lines. (c) The spectral lines of hydrogen molecule and normal helium atom cannot be explained by this theory.

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 the Bohr frequency condition?

Bohr’s frequency condition is that the frequency of the radiation emitted or absorbed during the transition of an atomic system between two stationary states equals the difference in the energies of the states divided by Planck’s constant.

What is the difference between Bohr and Sommerfeld model?

The new and more general Bohr–Sommerfeld theory described the atom in terms of two quantum numbers, while Bohr had originally used only one quantum number. With this extension the theory provided an explanation of the Stark effect, the ordinary Zeeman effect, and the fine structure of the hydrogen spectrum.

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 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.

What is Bohr’s orbital quantum condition?

Bohr assumed a quantum condition when deriving the energy levels of a hydrogen atom. This famous quantum condition was not derived logically, but it beautifully explained the energy levels of the hydrogen atom. Therefore, Bohr’s quantum condition was accepted by physicists.

How do you do e HV?

E = hv: APPLICATION

1. a Photon’s Wavelength (λ) and energy E are linked through the following equation:
2. E = hc/λ
3. WHERE:
4. h = Planck’s constant = 6.63 x 10 J s (Joules per second)
5. v = frequency of the radiaiton.
6. c= speed of light.
7. E is inversely proportional to λ.

For which of the following species Bohr’s theory is not applicable?

(d) Bohr theory is not applicable to multi electron species.