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.

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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?
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The given electronic configuration is Ar6d1 7d1In this atom, one unpaired electron is in the d subshell in state 6And another unpaired electron is in another d subshell in state 7

Both the unpaired electrons in the configuration lie in the d subshellSo, both l1=l2=2The total orbital quantum number, L is given asL=l1+l2........l1-l2So, l1+l2=2+2=4And l1-l2=2-2=0So, the possible L values will beL=4,3,2,1,0

The letter symbols corresponding to the L values areL=0, S L=1, PL=2, DL=3, FL=4, G

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