Chapter 9, Problem 9P

Calculate the wavelength associated with an electron with energy of 1.0 eV if the electron is inside a GaAs crystal. (The mass of an electron in GaAs is 0.067 X 9.11 X 10-31 Kg)

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. For an electron in a one-dimensional box of length 1.0 A; calculate the separation between the two lowest energy levels. Calculate the wavelength of a photon corresponding to a transition between these two levels. In what portion of the electromagnetic spectrum is this wavelength?

Refer to Exercise 12.3(b) and calculate the wavelength that would result from replacing the oxygen atom by a rigid dioxygen molecule. "12.3(b): Suppose an oxygen atom (m = 15.9949mu) is adsorbed on the surface of a nickel nanoparticle by a bond of force constant 544 N m-1."