1. A hydrogen atom in a certain excited state has its electron in a 5f subshell. The electron drops down to the 3d subshell, releasing a photon in the process.
a) For each of these subshells, give the n and l quantum numbers, and give the range of possible ml quantum numbers.
b)How many radial nodes and how many angular nodes does each of the orbitals in part (a) have?
c)Determine the wavelength of light that would be emitted by this process.
d) The hydrogen atom now has a single electron in the 3d subshell. Calculate the energy (in kJ/mol) required to ionize this (excited state) hydrogen atom. This is the energy required to remove the electron completely from the atom.
2. The photoelectric binding energy of cesium is 183.7 kJ/mol. Light having a wavelength of 2.4 Ã—10â€“7m falls upon a cesium surface in an evacuated tube. Calculate the minimum deBroglie wavelength of the emitted photoelectrons
3. For each of the following orbitals, provide a sketch of the orbital in the Cartesian x,y z coordinate system that clearly shows the shape and orientation of the orbital. Determine the number of angular nodes and the number of radial nodes in the orbital, and describe where any angular nodes are located. (For instance, the 2px orbital has an angular node in the yz plane)
4. Write electron configurations and count the number of unpaired electrons in:
O, Si, Ni, I, Ir, Bi, Gd