Will the orbital energies for multielectron atoms depend on their angular momentum quantum number l?

1
Will the orbital energies for multielectron atoms
depend on their angular momentum quantum number
l? (A) In the H atom, the orbital energies
depend on the principal quantum number n only,
if there are no external fields present. This
will be the same in multielectron atoms. ? E
depends only on n. (B) The repulsion between
different electrons is different for different l
(e.g. s or p orbitals), because their spatial
distributions are different. Therefore, E
depends on n and l.
2
Will the orbital energies for multielectron atoms
depend on their angular momentum quantum number
l? (A) In the H atom, the orbital energies
depend on the principal quantum number n only,
if there are no external fields present. This
will be the same in multielectron atoms. ? E
depends only on n. (B) The repulsion between
different electrons is different for different l
(e.g. s or p orbitals), because their spatial
distributions are different. Therefore, E
depends on n and l.
3
For constant n, how will the orbital energies for
multielectron atoms depend on l? (A) Higher l ?
higher angular momentum ? more circular
behavior? more screening of nuclear charge ?
for the same n, E will increase with increasing
l (B) Higher l ? higher angular momentum ?
more circular behavior? less overlap with
orbitals of core electrons ? less Coulomb
repulsion? for the same n, E will decrease with
increasing l
4
For constant n, how will the orbital energies for
multielectron atoms depend on l? (A) Higher l ?
higher angular momentum ? more circular
behavior? more screening of nuclear charge ?
for the same n, E will increase with increasing
l (B) Higher l ? higher angular momentum ?
more circular behavior? less overlap with
orbitals of core electrons ? less Coulomb
repulsion ? for the same n, E will decrease with
increasing l
5
Consider the H atom in its ground state H(1s).
What is the term symbol? (A) 1S0 (B)
2S1/2 (C) 3P2 (D) 3S0 (E) 1S1/2
2S1LJ
6
Consider the H atom in its ground state H(1s).
What is the term symbol? (A) 1S0 (B)
2S1/2 correct S1/2 L0 J can only be 1/2
(C) 3P2 (D) 3S0 not possible, not with
any electron configuration! (E) 1S1/2 not
possible, not with any electron configuration!
2S1LJ