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Which sketch represents an orbital with the following set of quantum numbers: n = 3, I = 1, and m = 0. %3D

Which sketch represents an orbital with the following set of quantum numbers: n = 3, I = 1, and m = 0. %3D

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
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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**Question:** Which sketch represents an orbital with the following set of quantum numbers: \( n = 3, \, l = 1, \) and \( m_l = 0 \). **Diagrams Explained:** 1. **First Diagram:** - Features a pink, dumbbell-shaped orbital aligned along the z-axis. - The orbital is centered at the origin with the lobes extending symmetrically above and below the xy-plane. - Axes labeled x, y, and z indicate the three dimensions of the coordinate system. 2. **Second Diagram:** - Displays a blue, dumbbell-shaped orbital aligned along the z-axis. - Similar to the first diagram, it is centered at the origin with lobes extending symmetrically above and below the xy-plane. - Axes labeled x, y, and z illustrate the three-dimensional space. **Description:** The diagrams suggest possible p-orbitals since \( l = 1 \) corresponds to a p-orbital, and \( m_l = 0 \) indicates the orientation along the z-axis. Thus, both diagrams represent p-orbitals, visually displaying this concept.
Transcribed Image Text:**Question:** Which sketch represents an orbital with the following set of quantum numbers: \( n = 3, \, l = 1, \) and \( m_l = 0 \). **Diagrams Explained:** 1. **First Diagram:** - Features a pink, dumbbell-shaped orbital aligned along the z-axis. - The orbital is centered at the origin with the lobes extending symmetrically above and below the xy-plane. - Axes labeled x, y, and z indicate the three dimensions of the coordinate system. 2. **Second Diagram:** - Displays a blue, dumbbell-shaped orbital aligned along the z-axis. - Similar to the first diagram, it is centered at the origin with lobes extending symmetrically above and below the xy-plane. - Axes labeled x, y, and z illustrate the three-dimensional space. **Description:** The diagrams suggest possible p-orbitals since \( l = 1 \) corresponds to a p-orbital, and \( m_l = 0 \) indicates the orientation along the z-axis. Thus, both diagrams represent p-orbitals, visually displaying this concept.
### Chemistry Orbitals This image displays two types of atomic orbitals, each depicted with three-dimensional axes. 1. **First Diagram (Top):** - **Orbital Type:** This is likely a "d orbital," characterized by its complex, clover-like shape. - **Axes:** The axes are labeled as x, y, and z, indicating a three-dimensional coordinate system. - **Description:** The orbital has four lobes, with two pairs situated diagonally opposite each other, extending along the respective axes. The lobes are shaded in pink. 2. **Second Diagram (Bottom):** - **Orbital Type:** This is a "s orbital," known for its spherical shape. - **Axes:** Again, the axes are marked as x, y, and z. - **Description:** The spherical shape is uniformly colored in blue, centered at the origin where all axes intersect. These diagrams illustrate fundamental concepts in quantum chemistry, representing areas of high probability where electrons are likely to be found in an atom.
Transcribed Image Text:### Chemistry Orbitals This image displays two types of atomic orbitals, each depicted with three-dimensional axes. 1. **First Diagram (Top):** - **Orbital Type:** This is likely a "d orbital," characterized by its complex, clover-like shape. - **Axes:** The axes are labeled as x, y, and z, indicating a three-dimensional coordinate system. - **Description:** The orbital has four lobes, with two pairs situated diagonally opposite each other, extending along the respective axes. The lobes are shaded in pink. 2. **Second Diagram (Bottom):** - **Orbital Type:** This is a "s orbital," known for its spherical shape. - **Axes:** Again, the axes are marked as x, y, and z. - **Description:** The spherical shape is uniformly colored in blue, centered at the origin where all axes intersect. These diagrams illustrate fundamental concepts in quantum chemistry, representing areas of high probability where electrons are likely to be found in an atom.
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