### Understanding Quantum NumbersQuantum numbers are essential in describing the quantum state of an electron in an atom. Each quantum number provides specific information about the electron's properties and its probable location in an atom.#### Question:**Which of the following combinations of quantum numbers is not allowed?**1. \( n = 4, l = 2, m_l = 0, m_s = \frac{1}{2} \)2. \( n = 2, l = 1, m_l = -1, m_s = \frac{1}{2} \)3. \( n = 3, l = 0, m_l = 0, m_s = -\frac{1}{2} \)4. \( n = 1, l = 1, m_l = 0, m_s = \frac{1}{2} \)5. \( n = 4, l = 3, m_l = -2, m_s = -\frac{1}{2} \)Each combination of quantum numbers is defined by the following parameters:- **Principal quantum number (\(n\))**: Indicates the energy level or shell of an electron.- **Azimuthal quantum number (\(l\))**: Describes the subshell or orbital shape, ranging from 0 to \(n-1\).- **Magnetic quantum number (\(m_l\))**: Specifies the orientation of the orbital, ranging from \(-l\) to \(+l\).- **Spin quantum number (\(m_s\))**: Denotes the spin of the electron, which can be \(\pm \frac{1}{2}\).#### Explanation:To determine the invalid combination, consider the constraints for each quantum number:- \(n\) is a positive integer (1, 2, 3, ...).- \(l\) ranges from 0 to \(n-1\).- \(m_l\) ranges from \(-l\) to \(+l\).- \(m_s\) can be \(+\frac{1}{2}\) or \(-\frac{1}{2}\).**Invalid Combination**:- Option 4: \( n = 1, l = 1, m_l = 0, m_s = \frac{1}{2} \)For \( n = 1 \), the only

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Which of the following combinations of quantum numbers is not allowed? n = 4,1 = 2, m = 0, m, = 1/2 O n = 2,1 = 1, m¡ = -1, m, = 1/2 n = 3,1 = 0, m¡ = 0, m, = -1/2 O n = 1,1 = 1, m = 0, m; = 1/2 O n = 4,1 = 3, m = -2, m, = -1/2

Which of the following combinations of quantum numbers is not allowed? n = 4,1 = 2, m = 0, m, = 1/2 O n = 2,1 = 1, m¡ = -1, m, = 1/2 n = 3,1 = 0, m¡ = 0, m, = -1/2 O n = 1,1 = 1, m = 0, m; = 1/2 O n = 4,1 = 3, m = -2, m, = -1/2

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

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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