Why Energy of 4s is higher than 3d?

  • A
  • Thread starter ImShiva
  • Start date
  • #1
4
0
According to Aufbau principle energy of 3d should be greater than 4s but here 4s is having higher energy. Please anyone explain this.
 

Attachments

Answers and Replies

  • #2
BvU
Science Advisor
Homework Helper
14,122
3,542
Hi ImShiva, :welcome:

The principle you mention isn't about energy; it's about the order in which orbits are filled.
 
  • #3
4
0
Hi ImShiva, :welcome:

Tha principle you mention isn't about energy; it's about the order in which orbits are filled.
Hi ImShiva, :welcome:

Tha principle you mention isn't about energy; it's about the order in which orbits are filled.
But isn't lower energy implying that orbital must be filled first?
 
  • #4
BvU
Science Advisor
Homework Helper
14,122
3,542
Apparently not !
 
  • #5
4
0
Apparently not !
How...? Please explain
 
  • #6
Khashishi
Science Advisor
2,815
493
Lower energy states do indeed fill up before higher energy states. But, the Aufbau principle refers to how additional electrons fill up. An additional electron placed into the 3d state will have higher energy than an electron that is excited into the 3d state with the states below empty. That's because there is repulsion between the electrons. For helium, which has two electrons, there isn't too much interaction between an electron in 3d and in the 1s position, so, the energy isn't that high. Consider hydrogen, which has only one electron. Then the 3d state has the same energy as the 3p and 3s states. When you fill up the lower states, then the 3d state energy rises because it has more interaction with the inner electrons than the 3s and 3p states.
 
  • Like
Likes ImShiva
  • #7
4
0
Lower energy states do indeed fill up before higher energy states. But, the Aufbau principle refers to how additional electrons fill up. An additional electron placed into the 3d state will have higher energy than an electron that is excited into the 3d state with the states below empty. That's because there is repulsion between the electrons. For helium, which has two electrons, there isn't too much interaction between an electron in 3d and in the 1s position, so, the energy isn't that high. Consider hydrogen, which has only one electron. Then the 3d state has the same energy as the 3p and 3s states. When you fill up the lower states, then the 3d state energy rises because it has more interaction with the inner electrons than the 3s and 3p states.
So I guess (n+l) energy rule won't work here. What's the rule for energy of states then ?
 
  • #8
blue_leaf77
Science Advisor
Homework Helper
2,629
784
So I guess (n+l) energy rule won't work here
The (n+l) rule is for the individual energy of electrons in a subshell denoted by the quantum number ##nl## to form a ground state of the atom, The energy ##E_{nl}## governed by that rule is the energy of each subshell in the ground state of an atom and not the total energy of the atom. In your diagram, it is the total energy of the atom (He atom) which is shown, in particular it shows energy levels including its ground state and the excited states of the form ##1s\, nl## where one electron stays in ##1s## subshell and the other in ##nl## subshell. Again, the (n+l) rule is irrelevant here because the diagram is not about the energy of each subshell in a He atom.
What's the rule for energy of states then ?
The only rule I know regarding the energy diagram of a ##1s\, nl## He atom is that the energy for orthohelium is always lower than for parahelium for the same ##nl##.
 
  • Like
Likes ImShiva
  • #9
DrDu
Science Advisor
6,106
805
In Helium, the only orbital filled is 1s, so the aufbau principle is correct. The other orbitals are virtual orbitals and not filled, so they are irrelevant for the aufbau principle.
 
  • Like
Likes ImShiva and edguy99
  • #10
Khashishi
Science Advisor
2,815
493
For atoms with more than one electron, you need to go into lengthy calculations to come up with energy levels. There are various approximations, to varying degrees of accuracy (e.g. Hartree-Fock). But nothing so simple as the hydrogen atom.
 
  • Like
Likes ImShiva

Related Threads on Why Energy of 4s is higher than 3d?

Replies
7
Views
23K
  • Last Post
Replies
8
Views
3K
  • Last Post
Replies
3
Views
6K
Replies
9
Views
2K
Replies
3
Views
9K
Replies
2
Views
1K
Replies
3
Views
4K
Replies
4
Views
5K
Replies
3
Views
2K
Top