What is the binding energy in NaCl?

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Discussion Overview

The discussion centers around estimating the binding energy of ionic bonds in sodium chloride (NaCl) and explores how this estimation might change for different ionic compounds, such as magnesium oxide (MgO). The scope includes theoretical considerations and mathematical reasoning related to ionic charge interactions.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Conceptual clarification

Main Points Raised

  • One participant suggests using the formula k*q1*q2 / r to estimate the binding energy, where k is the electric constant, q1 and q2 are the charges, and r is the separation between charges.
  • Another participant notes that the calculation is based on simple Coulomb interactions between point charges.
  • A participant expresses uncertainty about how to apply the concept to different ionic compounds, specifically questioning how the charges would affect the binding energy calculation for MgO compared to NaCl.
  • It is proposed that for MgO, which has charges of +2 and -2, the effective charge might be represented as 2/6 instead of 1/6, indicating a potential adjustment in the calculation method.

Areas of Agreement / Disagreement

Participants do not reach a consensus on how to generalize the binding energy calculation for different ionic compounds, and multiple competing views regarding the treatment of ionic charges remain.

Contextual Notes

The discussion does not resolve the assumptions regarding the geometry of ionic interactions or the specific implications of charge differences on binding energy calculations.

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Homework Statement


Each Na atom transfers 1/6 of an electron, on average, to each Cl atom. Estimate the binidng energy of the ionic bonds in NaCl.


Homework Equations





The Attempt at a Solution


The answer says to use k*q1*q2 / r, where k is the electric constant, q1 and q2 are the charges, and r is the separation between the charges.

So it gives k*(1/6)e*e / r.

I'm wondering what would happen if it were a different atom. In NaCl, Na has a charge of +1 and Cl has a charge of -1. If I wanted to calculate the binding energy of something with charges that weren't necessarily 1, how would this change?
 
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This is based on a simple coulomb interactions between point charges.
 
I know. It's the charges of the ions I'm unclear on. I just wanted to know what the answer would look like if the question was about, say MgO instead of NaCl.
 
MgO would mean charges +2 and -2. 1/6th is just effect of the geometry, so in the case of MgO I would expect 2/6th.
 

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