(V) The finite rectangular well serves as an intuitive, but very crude(!) representation of an atom: The nucleus creates an attractive potential and bind electrons, the potential inside is set to zero, while outside of the well (atom) is vo. Only certain energy states in atoms 2 exist and the number of available states is finite. If an electron absorbs enough energy, it will be released from the potential well; this is equivalent to ionization. In this example, you will solve for the bound states of a finite well (a 1D "atom"); the solutions need to be found numerically/graphically, i.e., use your favorite graphing software or use spreadsheet. A) Find for the energies of bound states (even and odd) in a well with a width of L = 0.25 nm and the depth of 2 eV. B) Compare your results to the energy states in an infinite well. Are they similar/comparable? C) In the previous example, identify the bound state with the highest energy. The ioniza- tion potential of this atom corresponds to the energy that the electron needs to absorb in order to leave the potential well, what is it? (Note: it will be the difference between the highest bound state energy and the depth of the well)