What are the possible values for the angle that the orbital angular moment vector L of d-electrons makes with the xy plane? Show your solution in detail.
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- 2) Consider the He diatomic molecule cation. (a) Write the complete Hamiltonian operator (including the nuclear degrees of free- dom) for the molecule. (b) Write the electronic Hamiltonian operator in atomic units for the molecule He, (Born-Oppenheimer approximation). (c) Sketch the orbital energy diagram of He,, making sure that you label the molecular orbitals (including their symmetry labels). What is the electron configuration of the molecule in the ground state.In the following potential well there are 2 non-interacting electrons with the same spin. If it is known that this is at the lowest energy, what is the wave function of this 2-particle system? ∞ , x aFor the ground state electronic configuration of a Si atom. Write out the orbital energy diagram for its ground state. (think Hund’s rule - lowest energy) Use the Clebsch-Gordan series to deduce the term symbols(remember that closed shell and paired up electrons make no net contribution to the spin angular momentum and don’t enter into the term symbol)
- Your answer is partially correct. An electron, trapped in a one-dimensional infinite potential well 366 pm wide, is in its ground state. How much energy must it absorb if it is to jump up to the state with n=7? Number 139.6 Units eVExplain how Cooper pairs can exist in superconducting materials, even though electrons repel each other.could you also explain to me how you come up with question A?
- A positronium atom is a hydrogen-like atom with a positron (mass m = me, charge +e, spin 1/2) as a nucleus and an electron bound to it. The spin-spin interation of positronium can be described by a Hamiltonian H = A ~ 2 S1 · S2 Write down the energy levels of this system, according to the total spin S of the atom.A rectangular corral of widths Lx = L and Ly = 2L contains seven electrons. What is the energy of (a) the first excited state, (b) the second excited state, and (c) the third excited state of the system? Assume that the electrons do not interact with one another, and do not neglect spin. State your answers in terms of the given variables, using hand me (electron mass) when needed.