What Are the Quantum Numbers for All Electrons in Boron and Nitrogen Atoms?

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SUMMARY

The discussion focuses on determining the quantum numbers for all electrons in boron and nitrogen atoms in their ground states. For boron (atomic number 5), the electron configuration is 1s2 2s2 2p1, resulting in the quantum numbers: n=1, l=0, ml=0, ms=+1/2 for the first two electrons and n=2, l=1, ml=-1/0/+1, ms alternating for the remaining electrons. For nitrogen (atomic number 7), the configuration is 1s2 2s2 2p3, leading to similar quantum number assignments. The question emphasizes providing a complete set of quantum numbers for each electron, not just one possible set.

PREREQUISITES
  • Understanding of quantum numbers (n, l, ml, ms)
  • Familiarity with electron configurations
  • Knowledge of atomic structure and electron distribution
  • Reference to Zumdahl's Chemistry textbook (ninth edition)
NEXT STEPS
  • Study the quantum numbers for other elements in the periodic table
  • Learn about electron configurations and their significance in chemical properties
  • Explore the Pauli Exclusion Principle and Hund's Rule
  • Review the differences between excited state and ground state electron configurations
USEFUL FOR

Chemistry students, educators, and anyone studying atomic structure and quantum mechanics will benefit from this discussion.

alingy1
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Homework Statement


Give a possible set of values of the four quantum numbers for all the electrons in boron atom and a nitrogen atom if each is in the ground state.

I know the principles behind this. It comes from Zumdahl's Chemistry textbook (ninth edition, p. 345, number 95). The solutions manual however lists 5 examples for boron and 7 for nitrogen.

However, doesn't this question ask for only ONE possible set of values?

Shouldn't writing n=0 l=0 ml=0 ms=+1/2 for both boron and nitrogen enough to get the answer right?

I'm a second language speaker! Why do they say "all the electrons"? What are they asking for?
 
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It asks for "a" possible set of values - since there is more than one possible set, there is more than one possible correct answer. Therefore the solutions manual has to list them all.

However ... this is not the case for this problem.
Reading carefully you see it wants the set of values for all the electrons ... how many electrons does Boron have? How many does Nitrogen have? Therefore - how many values must be in each set?
 
Hmm. If I give a possible set of values for each electron in each atom, my answer would be :
BORON: 1s22s22p1
n 1 1 2 2 2
l 0 0 0 0 1
ml 0 0 0 0 -1
ms +1/2 -1/2 +1/2 -1/2 +1/2NITROGEN: 1s22s22p3
n 1 1 2 2 2 2 2
l 0 0 0 0 1 1 1
ml 0 0 0 0 -1 0 +1
ms +1/2 -1/2 +1/2 -1/2 +1/2 +1/2 +1/2

Would this answer be the most concise and thorough answer?
 
Sorry, it seems the forum does not accept long spaces. My tables are therefore not aligned.
 

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