Atomic structure and determing effective nuclear charge

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Homework Help Overview

The discussion revolves around determining the effective nuclear charge for the 3s state of sodium (Na), with a specific energy level provided. Participants explore concepts related to atomic structure and energy levels in hydrogenic atoms.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to understand the effective nuclear charge using a formula they found online, while expressing confusion about the lack of relevant information in their textbook. Other participants inquire about the relationship between energy levels and principal quantum numbers, suggesting a need for an equation that connects these concepts.

Discussion Status

The discussion is ongoing, with participants sharing insights and clarifications. Some have provided guidance on the relationship between energy and quantum numbers, while others reflect on their understanding and experiences with the problem.

Contextual Notes

There is mention of a lack of explicit information in the textbook regarding effective nuclear charge, which may influence the participants' approaches. Additionally, one participant notes receiving full credit for their work despite feeling it was sub-par, indicating varying levels of confidence in their understanding.

joker314
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Homework Statement



The 3s state of Na has an energy of -5.14 eV. Determine the effective nuclear charge.

Homework Equations



Zeffective = Z - S (not listed in textbook, found this online when trying to figure out the problem)

The Attempt at a Solution



Nothing in the textbook in this section talk about determining nuclear charge. I know that Na is in the 2s^{2}2p^{6} group.
 
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For a hydrogenic atom, what is the expression for the energy-levels in terms of the principle quantum-number?
 
I believe that would be 1s
 
joker314 said:
I believe that would be 1s

no. you need an equation that relates energy "E" to the principle quantum number "n". Do you know an equation like that?
 
I do now... Even though I read that response too late. The grader of my homework gave me full credit anyways for a sub-par result... But I appreciate the response because it let me on the right track after the fact!
 

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