Answer
There are 5 possible orbitals with the values:
- $n=5$, $l=2$, $m_l=-2$
- $n=5$, $l=2$, $m_l=-1$
- $n=5$, $l=2$, $m_l=0$
- $n=5$, $l=2$, $m_l=1$
- $n=5$, $l=2$, $m_l=2$
Work Step by Step
*NOTES TO REMEMBER:
In an orbital designation,
- the number represents the value of $n$.
- the letter represents the value of $l$, according to the following rule:
$l=0$, the letter used is $s$.
$l=1$, the letter used is $p$.
$l=2$, the letter used is $d$.
$l=3$, the letter used is $f$.
The subshell is $5d$. Therfore, $n=5$ and $l=2$.
For $l=2$, there are 5 possible orbitals corresponding to 5 possible values of $m_l$: $m_l=[-2,-1,0,1,2]$.
