Presentation is loading. Please wait.

Presentation is loading. Please wait.

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.

Similar presentations


Presentation on theme: "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."— Presentation transcript:

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 2S+1LJ

6 Consider the H atom in its ground state: H(1s). What is the term
symbol? (A) 1S0 (B) 2S1/2 correct: S=1/2; L=0; 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! 2S+1LJ


Download ppt "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."

Similar presentations


Ads by Google