91Ó°ÊÓ

Which of the following sets of \(n, l, m_{l}\), and \(m_{s}\) quantum numbers can be used to describe an electron in a \(2 p\) orbital? (a) \(2,1,0,-1 / 2\) (b) \(2,0,0,1 / 2\) (c) \(2,2,1,1 / 2\) (d) \(3,2,1,-1 / 2\) (e) \(3,1,0,1 / 2\)

Calculate the maximum number of electrons that can have the quantum numbers \(n=4\) and \(l=3\).

Calculate the number of electrons in an atom that can simultaneously possess the quantum numbers \(n=4\) and \(m_{s}=1 / 2\).

Determine the allowed values of the spin quantum number, \(m_{s},\) when \(n=5, l=2,\) and \(m_{l}=-1\).

Determine the number of subshells in the \(n=3\) and \(n=4\) shells.

Calculate the maximum number of electrons in the \(n=1, n=2, n=3,\) and \(n=4\) shells.

Calculate the maximum number of electrons that can fit into a \(4 d\) subshell.

Which of the following is a possible set of \(n, l, m_{l},\) and \(m_{s}\) quantum numbers for the last electron added to form a gallium atom \((Z=31) ?\) (a) \(3,1,0,-1 / 2\) (b) \(3,2,1,1 / 2\) (c) \(4,0,0,1 / 2\) (d) \(4,1,1,1 / 2\) (e) \(4,2,2,1 / 2\)

Which of the following is a possible set of \(n, l, m_{l},\) and \(m s\) quantum numbers for the last electron added to form an \(\mathrm{As}^{3+}\) ion? (a) \(3,1,-1,1 / 2\) (b) \(4,0,0,-1 / 2\) (c) \(3,2,0,1 / 2\) (d) \(4,1,-1,1 / 2\) (e) \(5,0,0,1 / 2\)

What requirement must two electrons meet if they are to occupy the same orbital?