How Do Term Symbols Apply to Magnesium's Ground State Configuration?

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SUMMARY

Magnesium (Mg), with an atomic number of 12, has a ground state electron configuration of [Ne] 3s2. The possible term values for magnesium's ground state are determined by the spin multiplicity, which can be either S = 1 (resulting in a multiplicity of 3) or S = 0 (resulting in a multiplicity of 1). The total angular momentum quantum number J can take values of 1 or 3, although the discussion leans towards J = 1 due to the exclusion principle. The correct term symbol notation for magnesium is expressed as ^{2S+1}L_J.

PREREQUISITES
  • Understanding of electron configurations, specifically for transition metals.
  • Familiarity with quantum mechanics, particularly angular momentum addition.
  • Knowledge of term symbols and spectroscopic notation.
  • Basic proficiency in LaTeX for scientific notation.
NEXT STEPS
  • Study the principles of angular momentum addition in quantum mechanics.
  • Learn how to derive term symbols for multi-electron atoms.
  • Explore LaTeX formatting for scientific expressions and notation.
  • Investigate the role of the exclusion principle in determining electron configurations.
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Chemistry students, physicists, and educators focusing on atomic structure and quantum mechanics, particularly those interested in electron configurations and term symbols.

bman!!
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Sodium, = 11, has the ground state configuration [Ne] 3s^1 and is a “one
electron” atom. Magnesium, Z= 12, is a “two-electron” atom. Write down its
ground state configuration and possible term values.

i think i get the right answer but I am having a couple of issues:

my answer:

ground state configuration: [Ne] 3s^2

possible term values are for the spin multiplicity either S = 1 or 0 so 2S+1 = 3 or 1

L = 0 therefore = 0

therefore J = 1 or 3

however I am inclined to go with J = 1 as i think the exclusion plays a role.

p.s. ill happily clarify anything here as i know its not the clearest, i just don't know how to wrie term/spectroscopic notation in latex/html

cheers

i just find this term symbol stuff abit cinfusing
 
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No, your J - value is wrong.

Tell me, what is the formula for adding two angular momentums in quantum mechanics. i.e What is the formula for J in this case?

This is the way to write a Term:

^{2S+1}L_J

Just click on this image to see the Tex-code, you should figure out how to chage the code to fit your needs-

Also, this is wrong:

"ground state configuration: [Ne] 3s^2"
We were discussing Mg right?
 
malawi_glenn said:
No, your J - value is wrong.

Tell me, what is the formula for adding two angular momentums in quantum mechanics. i.e What is the formula for J in this case?

This is the way to write a Term:

^{2S+1}L_J

Just click on this image to see the Tex-code, you should figure out how to chage the code to fit your needs-

Also, this is wrong:

"ground state configuration: [Ne] 3s^2"
We were discussing Mg right?


its ok i spoke to a chemist and he set me straight. besides, I've already had that exam, so i can set about forgetting everything i learned ;)
 

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