Question

complete the table below by filling in the principal quantum number ( n ) and angular momentum quantum number ( l ) for each electron subshell listed.

Explanation:

Step1: Determine \(n\) for each sub - shell

The principal quantum number \(n\) is the number in front of the letter in the sub - shell notation.

• For \(4f\), \(n = 4\)
• For \(5d\), \(n=5\)
• For \(1s\), \(n = 1\)
• For \(3d\), \(n=3\)

Step2: Determine \(l\) for each sub - shell

The angular momentum quantum number \(l\) is related to the letter in the sub - shell notation: \(s\) - \(l = 0\), \(p\) - \(l=1\), \(d\) - \(l = 2\), \(f\) - \(l=3\)

• For \(4f\), \(l = 3\)
• For \(5d\), \(l=2\)
• For \(1s\), \(l = 0\)
• For \(3d\), \(l=2\)

Answer:

subshell	principal quantum number \(n\)	angular momentum quantum number \(l\)
\(5d\)	\(5\)	\(2\)
\(1s\)	\(1\)	\(0\)
\(3d\)	\(3\)	\(2\)