Chapter 6, Problem 41E

Consider the orbitals shown here in outline.

(a) What is the maximum number of electrons contained in an orbital of type (x)? Of type (y)? Of type (z)?

(b) How many orbitals of type (x) are found in a shell with $n=2$? How many of type (y)? How many of type (z)?

(c) Write a set of quantum numbers for an electron in an orbital of type (x) in a shell with $n=4$, of an orbital of type (y) in a shell with $n=2$. Of an orbital of type (z) in a shell with $n=3$.

(d) What is the smallest possible n value for an orbital of type (x)? Of type (y)? Of type (z)?

(e) What are the possible I and $m_l$ values for an orbital of type (x)? Of type (y)? Of type (z)?