Which of the following orbitals cannot exist? A) 2p B) 3d C) 4d D) 3f E) 162p

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...
icon
Related questions
Question
**Question:**

Which of the following orbitals cannot exist?

**Options:**

A) 2p  
B) 3d  
C) 4d  
D) 3f  
E) 162p  

**Explanation:**

In atomic theory, orbitals are defined by the principal quantum number (n) and the azimuthal or angular momentum quantum number (l). The principal quantum number n determines the energy level, while the azimuthal quantum number l defines the shape of the orbital (s, p, d, f correspond to l values of 0, 1, 2, 3, respectively).

- **Option A: 2p** - Valid; n=2 supports l=1 (p orbital).
- **Option B: 3d** - Valid; n=3 supports l=2 (d orbital).
- **Option C: 4d** - Valid; n=4 supports l=2 (d orbital).
- **Option D: 3f** - Invalid; n=3 cannot support an f orbital, since f orbitals are possible only when n ≥ 4.
- **Option E: 162p** - Valid in theory, though impractical. n=162 supports l=1 (p orbital).

Therefore, the orbital that cannot exist is **D) 3f**.
Transcribed Image Text:**Question:** Which of the following orbitals cannot exist? **Options:** A) 2p B) 3d C) 4d D) 3f E) 162p **Explanation:** In atomic theory, orbitals are defined by the principal quantum number (n) and the azimuthal or angular momentum quantum number (l). The principal quantum number n determines the energy level, while the azimuthal quantum number l defines the shape of the orbital (s, p, d, f correspond to l values of 0, 1, 2, 3, respectively). - **Option A: 2p** - Valid; n=2 supports l=1 (p orbital). - **Option B: 3d** - Valid; n=3 supports l=2 (d orbital). - **Option C: 4d** - Valid; n=4 supports l=2 (d orbital). - **Option D: 3f** - Invalid; n=3 cannot support an f orbital, since f orbitals are possible only when n ≥ 4. - **Option E: 162p** - Valid in theory, though impractical. n=162 supports l=1 (p orbital). Therefore, the orbital that cannot exist is **D) 3f**.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Quantum Mechanical Model of Atom
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY