1. The problem statement, all variables and given/known data "The angular part of the wave function for the dxy orbital is (√(15/∏)/4)sin^2(θ)sin(2ϕ). Show that this expression corresponds to the dxy orbital" 2. Relevant equations conversion of Cartesian to spherical coordinates: r=√(x^2+y^2+z^2) cosθ=z/r tan(ϕ)=y/x trig identity: sin(2x)=2sinxcosx normalization: N^2∫ψ*ψdτ=1 dτ=r^2sinθdrdθdϕ 0≤r≤∞ 0≤θ≤∏ 0≤ϕ≤2∏ 3. The attempt at a solution in Cartesian coordinates dxy is represented as simply xy. I converted xy to spherical coordinates and manipulated the equation the relevant equations to get xy=(r/2)sin^2(θ)sin(2ϕ) as follows: xy=rsincosϕrsinθsinϕ xy=rsin^2(θ)cosϕsinϕ xy=rsin^2(θ)sin(2ϕ)/2 Then I tried to normalize the equation, but I ended up with ∫r^3 from 0 to ∞, which goes to ∞/does not converge and ∫sin2ϕ which equal zero.