Explore how the scattering factor of Problem 18.2 changes when the actual 1s wavefunction of a hydrogenic atom is replaced by a Gaussian function.

Data in Problem 18.2

Show that if a substance responds nonlinearly to two sources of radiation, one of frequency ω₁ and the other of frequency ω₂, then it may give rise to radiation of the sum and difference of the two frequencies. This nonlinear optical phenomenon is known as frequency mixing and is used to expand the wavelength range of lasers in laboratory applications, such as spectroscopy and photochemistry.