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Which of the following sets of quantum numbers is not allowed? A) n = 1, l = 0, ml = 0 B) n = 4, = 0, ml = -1 C) n = 3, = 1, ml = 0 D) n = 2, = 0, ml = 0 E) n = 3, l = 2, ml = -2

Which of the following sets of quantum numbers is not allowed? A) n = 1, l = 0, ml = 0 B) n = 4, = 0, ml = -1 C) n = 3, = 1, ml = 0 D) n = 2, = 0, ml = 0 E) n = 3, l = 2, ml = -2

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Question:** Which of the following sets of quantum numbers is not allowed? **Options:** - **A)** \( n = 1, \, \ell = 0, \, m_\ell = 0 \) - **B)** \( n = 4, \, \ell = 0, \, m_\ell = -1 \) - **C)** \( n = 3, \, \ell = 1, \, m_\ell = 0 \) - **D)** \( n = 2, \, \ell = 0, \, m_\ell = 0 \) - **E)** \( n = 3, \, \ell = 2, \, m_\ell = -2 \) **Explanation:** The problem presents a multiple-choice question regarding quantum numbers in chemistry or physics. Quantum numbers describe values of conserved quantities in the dynamics of a quantum system. Each set of numbers includes \( n \) (the principal quantum number), \( \ell \) (the azimuthal or angular momentum quantum number), and \( m_\ell \) (the magnetic quantum number). The exercise asks to determine which set of these quantum numbers is not possible based on the rules: 1. **Principal Quantum Number (\( n \))**: Positive integer (1, 2, 3, ...). 2. **Azimuthal Quantum Number (\( \ell \))**: Integer ranging from 0 to \( n-1 \). 3. **Magnetic Quantum Number (\( m_\ell \))**: Integer ranging from \(-\ell\) to \(+\ell\). To solve, check each set for compliance with these rules.
Transcribed Image Text:**Question:** Which of the following sets of quantum numbers is not allowed? **Options:** - **A)** \( n = 1, \, \ell = 0, \, m_\ell = 0 \) - **B)** \( n = 4, \, \ell = 0, \, m_\ell = -1 \) - **C)** \( n = 3, \, \ell = 1, \, m_\ell = 0 \) - **D)** \( n = 2, \, \ell = 0, \, m_\ell = 0 \) - **E)** \( n = 3, \, \ell = 2, \, m_\ell = -2 \) **Explanation:** The problem presents a multiple-choice question regarding quantum numbers in chemistry or physics. Quantum numbers describe values of conserved quantities in the dynamics of a quantum system. Each set of numbers includes \( n \) (the principal quantum number), \( \ell \) (the azimuthal or angular momentum quantum number), and \( m_\ell \) (the magnetic quantum number). The exercise asks to determine which set of these quantum numbers is not possible based on the rules: 1. **Principal Quantum Number (\( n \))**: Positive integer (1, 2, 3, ...). 2. **Azimuthal Quantum Number (\( \ell \))**: Integer ranging from 0 to \( n-1 \). 3. **Magnetic Quantum Number (\( m_\ell \))**: Integer ranging from \(-\ell\) to \(+\ell\). To solve, check each set for compliance with these rules.
**Quantum Numbers Question** **Question:** Which of the following sets of quantum numbers is not allowed? **Options:** - A) \( n = 2, \, \ell = 0, \, m_\ell = 0 \) - B) \( n = 3, \, \ell = 2, \, m_\ell = 0 \) - C) \( n = 2, \, \ell = 2, \, m_\ell = 2 \) - D) \( n = 3, \, \ell = 1, \, m_\ell = -1 \) - E) \( n = 4, \, \ell = 2, \, m_\ell = 1 \) **Explanation:** In quantum mechanics, the quantum numbers describe values of conserved quantities in the dynamics of the quantum system. Here, the quantum numbers provided refer to: - \( n \): Principal quantum number, which must be a positive integer (\( n = 1, 2, 3, \ldots \)). - \( \ell \): Azimuthal quantum number, which must be an integer ranging from 0 to \( n-1 \). - \( m_\ell \): Magnetic quantum number, which must be an integer ranging from \(-\ell\) to \(+\ell\). Evaluate each set of quantum numbers to determine which one is not allowed based on these rules.
Transcribed Image Text:**Quantum Numbers Question** **Question:** Which of the following sets of quantum numbers is not allowed? **Options:** - A) \( n = 2, \, \ell = 0, \, m_\ell = 0 \) - B) \( n = 3, \, \ell = 2, \, m_\ell = 0 \) - C) \( n = 2, \, \ell = 2, \, m_\ell = 2 \) - D) \( n = 3, \, \ell = 1, \, m_\ell = -1 \) - E) \( n = 4, \, \ell = 2, \, m_\ell = 1 \) **Explanation:** In quantum mechanics, the quantum numbers describe values of conserved quantities in the dynamics of the quantum system. Here, the quantum numbers provided refer to: - \( n \): Principal quantum number, which must be a positive integer (\( n = 1, 2, 3, \ldots \)). - \( \ell \): Azimuthal quantum number, which must be an integer ranging from 0 to \( n-1 \). - \( m_\ell \): Magnetic quantum number, which must be an integer ranging from \(-\ell\) to \(+\ell\). Evaluate each set of quantum numbers to determine which one is not allowed based on these rules.
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