   Chapter 6, Problem 80SCQ

Chapter
Section
Textbook Problem

Suppose you live in a different universe where a different set of quantum numbers is required to describe the atoms of that universe. These quantum numbers have the following rules:N, principal 1, 2, 3,…,∞L, orbital = NM, magnetic -1, 0, +1How many orbitals are there altogether in the first three electron shells?

Interpretation Introduction

Interpretation: Total number of orbitals altogether in three electron shells in different universe where quantum numbers follow the given rules has to be determined.

Concept introduction:

Quantum numbers are numbers, which explains the existence and the behavior of electron in an atom.

1. a. Principle quantum number is represented by n and this number describes the energy of the orbital and the size of an atom.
2. b. Angular momentum quantum number (or azimuthal quantum number) is represented by l and this number indicates the shape of the orbitals.
3. c. Magnetic quantum number is represented by ml and this number indicates the orientation of the orbital.
4. d. Spin quantum number is represented by ms and this number indicates the spin of the electron.
Explanation

Here, the azimuthal quantum number is equal to principal quantum number. Also each subshell has three orbital since values of ml are, ml=1,0,1.

If n=1, then l=1 which indicates there is only one subshell in n=1 shell

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