Designate the value of n and i for 3d subshell
Answers
The important thing to realize here is that there's nothing special about the 3d-subshell in terms of the number of orbitals it contains.
The d-subshell contains five orbitals regardless of the energy level on which the subshell is located - as long as
n ≥ 3 .
Each subshell is characterized by a distinct value of the angular momentum quantum number, l
The number of orbitals each subshell can hold is determined by the magnetic quantum number, m
The relationshop between the principal quantum number, n
the angular momentum quantum number, l
and the magnetic quantum number, m l , can be described like this
l = 0 , 1 , 2 , ... , n − 1 and m − l
Now, the d-subshell is described by
l
=
2
. This mens that any d-subshell you'll ever run into will have a total of five d-orbitals described by
Therefore, the 3d-subshell will contain a total of five 3d-orbitals.
Likewise, the 4d-subshell will contain a total of five 4d-orbitals, the 5d-subshell will contain a total of five 5d-orbitals, and so on.
The important thing to realize here is that there's nothing special about the 3d-subshell in terms of the number of orbitals it contains.
The d-subshell contains five orbitals regardless of the energy level on which the subshell is located - as long as
n
≥
3
.
Each subshell is characterized by a distinct value of the angular momentum quantum number,
l
. The number of orbitals each subshell can hold is determined by the magnetic quantum number,
m
l
.
The relationshop between the principal quantum number,
n
, the angular momentum quantum number,
l
, and the magnetic quantum number,
m
l
, can be described like this
l
=
0
,
1
,
2
,
...
,
n
−
1
and
m
l
=
−
l
,
−
(
l
−
1
)
,
...
,
−
1
,
0
,
1
,
...
,
(
l
−
1
)
,
l
Now, the d-subshell is described by
l
=
2
. This mens that any d-subshell you'll ever run into will have a total of five d-orbitals described by
m
l
=
{
−
2
;
−
1
;
0
;
1
;
2
}
Therefore, the 3d-subshell will contain a total of five 3d-orbitals.
Likewise, the 4d-subshell will contain a total of five 4d-orbitals, the 5d-subshell will contain a total of five 5d-orbitals, and so on.