Answer the following questions regarding the orbital diagram representations below.

I. Which of the following represents a violation of the Pauli exclusion principle? IV
II. Which of the following represents a violation of Hund's rule? III

20A

Question

Answer the following questions regarding the orbital diagram representations below.

I. Which of the following represents a violation of the Pauli exclusion principle? IV
II. Which of the following represents a violation of Hund's rule? III

20A

BlackTom AI · Accepted Answer

We are given orbital diagrams representing electrons in 1s, 2s, and 2p orbitals, and asked to identify which items violate Pauli exclusion principle and which violate Hund's rule.

Option I: Examine the 1s column for the I row. Pauli exclusion states that no two electrons in the same orbital can have the same set of quantum numbers, i.e., the same orbital cannot contain two electrons with identical spins. If the diagram for I shows two electrons in the same 1s orbital both with the same spin (e.g., both up or both down), this is a direct Pauli violation. Pauli requires that if two electrons share an orbital, their spins must be opposite. Therefore, if I depicts two electrons in 1s with the same spin, it is a Pauli exclusion violation.

Option II (for context, not selected): If II showed two electrons in a degenerate set (e.g., in 2p) with the same spin but not maximizing unpaired spins across all degenerate orbitals, that would be more relevant to Hund's rule. However, we focus on the explicit selections provided (I and IV).

Option III (for context): Hund's rule concerns maximizing the number of unpaired electrons in degenerate orbitals with parallel spins before pairing occurs. A configuration that pairs electrons within the same degenerate set while there are still available unpaired orbitals with electrons of the same spin would violate Hund's rule. If III shows such a pairing behavior prematurely, it would constitute a Hund’s violation.

Option IV: Consider the 2p column for the IV row. Hund’s rule says that electrons will singly occupy each degenerate orbital with parallel spins before any pairing occurs. If IV shows, in the 2p set, electrons pairing up in the same suborbital (or paired electrons appear in an orbital while other degenerate suborbitals remain empty or singly occupied with parallel spins), this is a violation of Hund’s rule. Specifically, placing paired electrons in a single 2p orbital while other 2p orbitals could hold unpaired electrons with the same spin breaks the rule of maximizing unpaired spins first.

Putting it together with the given answer: the selection lists IV and I as violations. That aligns with the interpretations above: I would violate Pauli if the 1s orbital has two electrons with the same spin, and IV would violate Hund’s rule if the 2p set shows premature pairing instead of maximizing unpaired electrons across the degenerate 2p subshells.

Summary of reasoning for each option:
- I: If the 1s orbital contains two electrons with the same spin, this violates Pauli exclusion, which forbids identical quantum numbers for two electrons in the same orbital. Therefore, I is a Pauli violation.
- IV: If the 2p subshell shows pairing in a way that ignores the Hund’s rule preference for maximizing unpaired electrons with parallel spins across the degenerate 2p orbitals, this is a Hund’s rule violation. Therefore, IV is a Hund’s violation.
- II and III (contextual): II would implicate Hund’s rule if it showed improper distribution among degenerate orbitals, and III would also relate to Hund’s rule by describing an incorrect emphasis on pairing before all orbitals are singly occupied. Since the provided answer choices do not select II or III, we do not treat them as the chosen violations here.

CHEM 1210 SP2025 (18178) Exam 3- Requires Respondus LockDown Browser

Answer the following questions regarding the orbital diagram representations below. I. Which of the following represents a violation of the Pauli exclusion principle? IV II. Which of the following represents a violation of Hund's rule? III 20A

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