An extremely crude picture of a valence electron in an atom or a molecule treats it as a particle in a one-dimensional box whose length is on the order of the size of atoms and molecules.
(a) For an electron in a one-dimensional box of length 1.0 Å, calculate the separation between the two lowest energy levels.
(b) Calculate the wavelength of a photon corresponding to a transition between these two levels.
(c) In what portion of the electromagnetic spectrum is this wavelength?