Print or write the questions and complete this exam using a…
Print or write the questions and complete this exam using a pen or dark pencil: Don’t close this window until you’re finished answering all of the questions. For full credit show all of your work. A. (25 points) For the hydrogen atom, 1. Write Schrodinger’s equation 2. Write (but do not solve) the integral expression for the average radius for an electron in a 3s orbital B. (25 points) For the simple harmonic oscillator 1. Write (but do not solve) the integral expression for the probability of finding the second excited state of the oscillator at x between -A and +A 2. Write (but do not solve) the integral expression for the average momentum of the second excited state C. (25 points) Write Schrodinger’s equation for a Li2 molecule in the +4 oxidation state D. (25 points) For the particle with a mass of m in a box with a length L, 1. Write the integral expression for the average position for the second excited state 2. For a conjugated molecule with 10 pi electrons and a length of 28 nm, calculate the longest wavelength transition E. (25 points) Suppose someone comes to you and states that they had found a new amino acid with the following structure. Draw the expected 2D NMR spectrum, For full credit, label all of the peaks in the spectrum with the corresponding atom in the structure.