Physical Chemistry II: Quantum & Spectroscopy

Use this for “Is cos 5x an eigenfunction of d/dx? Of d²/dx²? If so, what is the eigenvalue?”

Use this for “An electron is in the ground state of a 1.00 nm box. What is the probability of finding it between 0.25 nm and 0.75 nm?”

Use this for “The force constant of H–³⁵Cl is 480 N/m. Find its vibrational frequency, its wavenumber and its zero-point energy.”

Use this for “Find the mean radius and the most probable radius of the electron in hydrogen’s 2p orbital.”

Use this for “Is the set n = 3, l = 3, mₗ = 0, mₛ = +½ allowed for an electron? If not, which rule does it break?”

Use this for “Find the π energy and delocalization energy of the cyclopentadienyl anion, C₅H₅⁻, by Hückel theory. Is it aromatic?”

Use this for “Two 2p orbitals lie side by side, parallel, with opposite phases facing. What kind of MO do they make?”

Use this for “Two nondegenerate levels are 1000 cm⁻¹ apart. Find the ratio of molecules in the upper level to the lower one at 298 K.”

Use this for “Does N₂ absorb infrared light at its vibrational frequency? Does HCl show a line for J = 0 → 2?”

Use this for “How many microstates does the d³ configuration of V²⁺ have?”

Use this for “Two states at 2 eV and 8 eV are coupled by 0.5 eV. Compare the second-order lower energy with the exact one.”

Use this for “A radical absorbs 9.400 GHz microwaves at a field of 0.3355 T. Find its g-factor.”

Use this for “The unpaired electron of a radical couples to 2 equivalent ¹⁴N nuclei (I = 1). How many EPR lines appear?”