Two types of nodes occur in atomic orbitals: spherical (radial) surfaces and planes (angles). Examine the 2s, 2p, and 3p orbitals, and then characterize their nodes. outer ball of electron density (wave trough) The 2s orbital has The 3p orbital has 8888 2s How many spherical (radial) nodes does a 7s orbital have? öö X 3 inner ball of electron density (wave peak) How many spherical (radial) nodes does a 3d orbital have? 01 O o 2p nucleus The 2p orbital has Which of the statements are true? An orbital of principal quantum number n has n - 1 nodes. The value of gives the number of planar (angular) nodes. How many nodes of all types does a 3d orbital have? öö88 3 3p 1 2 0

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## Understanding Atomic Orbitals and Nodes

Atomic orbitals have two types of nodes: spherical (radial) surfaces and planes (angles). Let's explore the 2s, 2p, and 3p orbitals to understand their nodes.

### Diagram Explanation

1. **2s Orbital:**
   - The diagram shows an outer ball of electron density labeled as a "wave trough" and an inner ball labeled as a "wave peak."
   - The axes (x, y, z) are marked, with the nucleus at the center.

2. **2p Orbital:**
   - Depicts two lobes with the nucleus at the center. The lobes represent areas of electron density.

3. **3p Orbital:**
   - Similar to the 2p but has a more complex structure, shown with distinct lobes of electron density surrounding the nucleus.

### Node Characterization

- **2s Orbital:** 
  - Select the number of nodes from a dropdown menu.

- **2p Orbital:**
  - Select the number of nodes from a dropdown menu.

- **3p Orbital:** 
  - Select the number of nodes from a dropdown menu.

### Statements to Evaluate

- [ ] An orbital of principal quantum number \( n \) has \( n-1 \) nodes.
- [ ] The value of \( \ell \) gives the number of planar (angular) nodes.

### Question Section

1. **How many spherical (radial) nodes does a 7s orbital have?**
   - Options: 6, 1, 0, 7

2. **How many nodes of all types does a 3d orbital have?**
   - Options: 3, 1, 2, 0

3. **How many spherical (radial) nodes does a 3d orbital have?**
   - Options: 1, 0, 2, 3

Explore these options to better understand the structure of orbitals and their nodes.
Transcribed Image Text:## Understanding Atomic Orbitals and Nodes Atomic orbitals have two types of nodes: spherical (radial) surfaces and planes (angles). Let's explore the 2s, 2p, and 3p orbitals to understand their nodes. ### Diagram Explanation 1. **2s Orbital:** - The diagram shows an outer ball of electron density labeled as a "wave trough" and an inner ball labeled as a "wave peak." - The axes (x, y, z) are marked, with the nucleus at the center. 2. **2p Orbital:** - Depicts two lobes with the nucleus at the center. The lobes represent areas of electron density. 3. **3p Orbital:** - Similar to the 2p but has a more complex structure, shown with distinct lobes of electron density surrounding the nucleus. ### Node Characterization - **2s Orbital:** - Select the number of nodes from a dropdown menu. - **2p Orbital:** - Select the number of nodes from a dropdown menu. - **3p Orbital:** - Select the number of nodes from a dropdown menu. ### Statements to Evaluate - [ ] An orbital of principal quantum number \( n \) has \( n-1 \) nodes. - [ ] The value of \( \ell \) gives the number of planar (angular) nodes. ### Question Section 1. **How many spherical (radial) nodes does a 7s orbital have?** - Options: 6, 1, 0, 7 2. **How many nodes of all types does a 3d orbital have?** - Options: 3, 1, 2, 0 3. **How many spherical (radial) nodes does a 3d orbital have?** - Options: 1, 0, 2, 3 Explore these options to better understand the structure of orbitals and their nodes.
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