Tag Archives: hydrogenic atoms

How far is it around the earth?

How far is it around the earth? More specifically, if I was to set off from here in Wokingham following a great circle route, how far would I have to travel before I found myself back here in Wokingham? Well, if you look it up on Google the circumference of the earth is near enough […]

The Schrödinger Wave Equation

Following Bohr’s model for the hydrogen atom Louis de Broglie suggested that the electron could be considered as a wave rather than a particle and proposed that the wavelength of such a wave was Planck’s constant divided by the linear momentum of the orbiting electron.   In effect he was restating Bohr’s adopted assumption that angular […]

Hydrogenic Atoms and the Bohr Model

As we move up the periodic table atoms get heavier. They do so because the nuclei of heavier atoms contain more protons.  In addition to the protons these heavier nuclei also contain another type of particle; the neutron, roughly equal in mass to the proton, but itself electrically neutral. So while the hydrogen atom comprises […]

Schrödinger’s Quantum Stagecoach!

One of the most popular film genres of the 20th Century was the Cowboy or Western and one of the most popular themes in western movies was that of the stagecoach. The stagecoach provided movie makers with a powerful metaphor. Outside the environment was hostile, full of Indians or outlaws, hell bent on doing evil […]

Johannes Rydberg

The Rydberg Formula

In Sampling the Hydrogen Atom I introduced the idea that the orbital velocity of the electron is close to light speed and is itself affected by relativity. Derivation of the Rydberg formula based on this model is very straightforward and I think rather elegant. The story starts with Joseph Jakob Balmer (1825-1898) who was a Swiss […]

Quantization of angular momentum ?

To date all models for the structure of the atom are based on a hypothesis first put forward by the British physicist John Nicholson in 1911.  Nicholson recognized that the units of Planck’s constant were those of angular momentum and so he reasoned that Planck’s constant was the angular momentum of the electron orbiting the […]