What is the effective nuclear charge of a 3d electron and a 4s electron in an atom of Mn?

6.32 What are the mathematical origins of quantum numbers?

Sketch an orbital contour that is expected for an electron that has n = 3 and = 2.

How far from the nucleus in angstroms (1 angstrom =11010 m) is the electron in a hydrogen atom if it has an energy of 8.721020 J?

• list the number of orbitals of each type (1s, 3p, etc) in an atom.

Suppose that the spin quantum number could have the values 12,0 and 12 . Assuming that the rules governing the values of the other quantum numbers and the order of filling sublevels were unchanged, (a) what would be the electron capacity of an s sublevel? a p sublevel? a d sublevel? (b) how many electrons could fit in the n=3 level? (c) what would be the electron configuration of the element with atomic number 8? 17?

Give the possible values of a. the principal quantum number, b. the angular momentum quantum number, c. the magnetic quantum number, and d. the spin quantum number.

Describe briefly why the study of electromagnetic radiation has been important to our understanding of the arrangement of electrons in atoms.

describe trace analysis and explain its role in materials testing.

6.106 When Bohr devised his model for the atom, was he using deductive or inductive reasoning? Explain your answer.