In the hydrogen atom, what is the total number of nodes present in a 6d orbital? total nodes: How many of the nodes are spherical (radial)? spherical nodes: How many of the nodes are planar (angular)? planar nodes: nodes nodes nodes
In the hydrogen atom, what is the total number of nodes present in a 6d orbital? total nodes: How many of the nodes are spherical (radial)? spherical nodes: How many of the nodes are planar (angular)? planar nodes: nodes nodes nodes
World of Chemistry, 3rd edition
3rd Edition
ISBN:9781133109655
Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
Chapter11: Modern Atomic Theory
Section: Chapter Questions
Problem 29A
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![**Understanding Hydrogen Atom Orbitals and Nodes**
The sizes and shapes of the hydrogen atom orbitals were revealed through graphical analysis of the corresponding wave functions. These wave functions also predict areas in which the electrons have a zero probability of being found. These areas are known as nodes. Nodes in the hydrogen atom orbitals exist either as spherical (radial) nodes or planar (angular) nodes.
**Orbital Diagrams:**
1. **s orbital**: A spherical shape, displayed as a light blue sphere.
2. **p orbital**: Shown as two connected ellipsoidal lobes in purple color, resembling a dumbbell.
3. **d orbital**: Illustrated with four lobes oriented in a clover shape, depicted in green.
4. **f orbital**: Complex shape with multiple lobes, displayed in both orange and blue colors.
**Questions on Nodes:**
1. **In the hydrogen atom, what is the total number of nodes present in a 6d orbital?**
- Total nodes: [________] nodes
2. **How many of the nodes are spherical (radial)?**
- Spherical nodes: [________] nodes
3. **How many of the nodes are planar (angular)?**
- Planar nodes: [________] nodes
These concepts help us understand where electrons are most likely to be found in different atomic orbitals, aiding in comprehending atomic structure and behavior.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87c9e35a-c40b-4293-8ffa-6a1a5ded8456%2Fe2f2ed4f-b85a-407f-99e0-54c071544983%2Fv3d68ki_processed.png&w=3840&q=75)
Transcribed Image Text:**Understanding Hydrogen Atom Orbitals and Nodes**
The sizes and shapes of the hydrogen atom orbitals were revealed through graphical analysis of the corresponding wave functions. These wave functions also predict areas in which the electrons have a zero probability of being found. These areas are known as nodes. Nodes in the hydrogen atom orbitals exist either as spherical (radial) nodes or planar (angular) nodes.
**Orbital Diagrams:**
1. **s orbital**: A spherical shape, displayed as a light blue sphere.
2. **p orbital**: Shown as two connected ellipsoidal lobes in purple color, resembling a dumbbell.
3. **d orbital**: Illustrated with four lobes oriented in a clover shape, depicted in green.
4. **f orbital**: Complex shape with multiple lobes, displayed in both orange and blue colors.
**Questions on Nodes:**
1. **In the hydrogen atom, what is the total number of nodes present in a 6d orbital?**
- Total nodes: [________] nodes
2. **How many of the nodes are spherical (radial)?**
- Spherical nodes: [________] nodes
3. **How many of the nodes are planar (angular)?**
- Planar nodes: [________] nodes
These concepts help us understand where electrons are most likely to be found in different atomic orbitals, aiding in comprehending atomic structure and behavior.
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