Understanding the Pauli Exclusion Principle and Its Consequences in an Atom

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SUMMARY

The Pauli Exclusion Principle states that no two electrons in an atom can have identical quantum numbers. In the case of 10 neon atoms at ground state, the quantum numbers n, l, ml, and ms must be determined while adhering to this principle. The net z component of angular momentum for these electrons can be calculated based on their unique quantum states. Understanding these concepts is essential for analyzing electron configurations and their implications in atomic physics.

PREREQUISITES
  • Quantum mechanics fundamentals
  • Understanding of quantum numbers (n, l, ml, ms)
  • Familiarity with the Pauli Exclusion Principle
  • Basic knowledge of atomic structure and electron configurations
NEXT STEPS
  • Study the implications of the Pauli Exclusion Principle in multi-electron atoms
  • Learn about the calculation of angular momentum in quantum systems
  • Explore the concept of symmetric and antisymmetric wave functions
  • Review introductory quantum mechanics textbooks for detailed explanations
USEFUL FOR

Students of quantum mechanics, physicists studying atomic structure, and educators teaching atomic physics concepts will benefit from this discussion.

r-dizzel
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hey all, posted this before but no one managed to get it?
question off a past paper that it can't do.../

state pauli exclusion principle (can do that) and explain its consequence in an atom (can do that). Use it to determine the values of n, l ml and ms of 10 neon atoms placed in a box at ground state. what is the net z component of angular momentum of the electrons?

any help much appriciated!

i know the quantum numbers can only take certain values and that pauli says no 2 particles can have identical quantum numbers but can't really get answer.

cheers all

robv
 
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what quantum number do you know that are relevant i atomic physics, how are their values related to each other? What values can they obtain?
 
Yes, of course you can state Pauli's exclusion principle... there's and argument about the symmetric or antisymmetric wave function (if the particle has integer or half-integer spin). You can find it well stated in whatever introductury book on QM.

In an atom, as electron (say), have semi-integer spin, the exclusion principle forbids that all electron occupy the ground state...

Good luck...
 

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