CALIFORNIA STATE POLYTECHNIC UNIVERSITY, POMONA CHEMISTRY 312 - HOMEWORK #1 From McQuarrie, Quantum Chemistry Problems: Chapter 1: 2, 7, 8, 12, 20 and 22 Chapter 2: 4, 6, 16 Additional Problems: The relationship between the magnitude of the momentum and the wavelength of a quantum particle is expressed as follows: p = h ! The momentum of a particle is often written in the following form: p= !k , where k is call the wavevector. The wavevector is related to the wavelength of a quantum particle in the following fashion: h ! = !k = hk 2 " # k = 2" ! When particles have a wavelength this is about the same as the spacing between atoms in a crystal lattice, they can diffract from the lattice and produce an interference pattern. The wavevector of particles that are diffracted by a crystal lattice is k ~ 1Å -1 . One is often interested in the dispersion relation, which is the functional dependence relating the wavevector of a particle to its energy, i.e., E(k). Plot the dispersion relations for a photon, an electron, a neutron, and a helium atom versus k in the range 0-10Å -1 , and express the energy of the particles in electron volts (eV). That is, make plots with the following axes: 0 2 4 6 8 10 k (Å -1 )