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?

Chemistry: An Atoms First Approach
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Chapter2: Atomic Structure And Periodicity
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Problem 96E: In the ground state of element 115, Uup, a. how many electrons have n = 5 as one of their quantum...
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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?
Transcribed Image Text: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 

Number of microstates=(Number of electron positions)!(Number of electrons available)!(Number of electron positions-Number of electrons available)!

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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