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Atomic Physics in Physics

Atomic physics begins with something you can see in a laboratory as plain as day. Pass the light from a hydrogen discharge tube through a prism and it does not spread into a continuous rainbow, it breaks into a few sharp coloured lines, always the same ones. Nothing in classical physics explains why an atom should refuse to radiate at any other wavelength. Bohr's answer was to allow only certain orbits, which then reproduced the whole hydrogen spectrum from a single formula and the constant that goes with it. The blocks give that spectrum and the energies behind it, the Bohr relations for orbit size and speed, then the fuller quantum picture in which the electron is described by four numbers, and finally the two effects that turn this knowledge into a laser.

Atomic Spectra of Gases
Early Models of the Atom
Bohr radius of the hydrogen atom

Given

  • (J s)
  • (kg)
  • (N m²/C²)
  • (C)

Constants used

Energy of the nth Bohr orbit of hydrogen

Given

  • (N m²/C²)
  • (C)
  • (m)

Constants used

Radius of the nth Bohr orbit

Given

  • (m)

Constant used

Speed of the electron in the nth Bohr orbit

Given

  • (N m²/C²)
  • (C)
  • (J s)

Constant used

Quantized orbital angular momentum in the Bohr model

Given

  • (J s)

Constant used

Energy of the photon emitted in a hydrogen transition

Given

  • (eV)
  • (eV)
Rydberg equation for the hydrogen spectrum

Given

  • (1/m)

Constant used

Shortest wavelength emitted by an X-ray tube

Given

  • (V)
  • (J s)
  • (m/s)
  • (C)

Constants used

Moseley's law for characteristic X-ray frequencies

Given

  • (Hz)
Number of orbitals in a subshell

Given

Maximum number of electrons in a subshell

Given

Number of electrons that fill a shell

Given

Physical Interpretation of the Quantum Numbers
The Wave Functions for Hydrogen
The Exclusion Principle and the Periodic Table
Spontaneous and Stimulated Transitions and Lasers