Question: 1. Specify and account for the selection rules for transitions in hydrogenic atoms. 2. Describe the orbital approximation for the wavefunction of a many electron

1. Specify and account for the selection rules for transitions in hydrogenic atoms. 2. Describe the orbital approximation for the wavefunction of a many electron atom. What are the limitations of the approximation? 3. The wavefunction for the 2s orbital of a hydrogen atom is N(2r/a0)er/2a0. Determine the normalization constant N. 4. Write down the expression for the radial distribution function of a 2s electron in a hydrogenic atom and determine the radius at which the electron is most likely to be found. 5. What is the orbital angular momentum of an electron in the orbitals (a) 1s, (b) 3s, (c) 3d ? Give the numbers of angular and radial nodes in each case. 6. What information does the term symbol 3F4 provide about the angular momentum of an atom? 7. What values of J may occur in the terms (a) 3D, (b) 4D, (c) 2G ? How many states (distinguished by the quantum number Mj ) belong to each level? 8. Give the possible term symbols for (a) Li[He]2s1, (b) Na[Ne]3p1
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