Answer Happy

After confirming that your pet electron Elecpatra was safe (thank goodness she doesn't need food and water), she gave you a request: she wanted some friends of her own kind. She says the more the merrier, but you had space constraints in your apartment. All you could afford was a 3D infinite well of Lx = 20 pm, Ly = 30 pm, and Lz = 20 pm. You also had an energy constraint--considering your energy level, the highest energy you could afford for each electron was T²² 6 2mL2 ? where m is the mass of an electron and L = Lx = 20 pm. Assuming that this system will in its ground state, what is the maximum number of electrons you can add for your dear pet electron? Include spin and do not count Elecpatra. Note (for those more used to h than hbar), T22 h2 8mL 2mL2 9 10 O 11 12