can you solve it 2. Consider an atom with completely filled subshells except for two d subshells which each contain justone electron, so a configuration like (Ar] 6d' 7d'.(a) How many states are in this configuration?(b) What is the s value for each d electron?(c) What is the I value for each d electron?(d) What are the possible L values and their letter symbols?(e) What are the possible S values and the corresponding multiplicities?(f) List the term symbols for each term belonging to this configuration.(8) How many states are in each term?

Answered: 2. Consider an atom with completely…

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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2. Consider an atom with completely filled subshells except for two d subshells which each contain just
one electron, so a configuration like (Ar] 6d' 7d'.
(a) How many states are in this configuration?
(b) What is the s value for each d electron?
(c) What is the I value for each d electron?
(d) What are the possible L values and their letter symbols?
(e) What are the possible S values and the corresponding multiplicities?
(f) List the term symbols for each term belonging to this configuration.
(8) How many states are in each term?

Expert Solution

Step 1

The number of microstates available for a configuration can be calculated using the formula

$N u m b e r o f m i c r o s t a t e s = \frac{(N u m b e r o f e l e c t r o n p o s i t i o n s)!}{(N u m b e r o f e l e c t r o n s a v a i l a b l e)! (N u m b e r o f e l e c t r o n p o s i t i o n s - N u m b e r o f e l e c t r o n s a v a i l a b l e)!}$

The variable s represents the spin quantum number of the electron and its magnitude is 1/2.

The variable l represents the azimuthal quantum number. It represents the orbital angular momentum and defines the shape of the orbital. Its value ranges from 0 to n-1 value, where n is the principal quantum number. The value of l 0, 1, 2, 3 represents the s, p, d, and f orbitals respectively.

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