Elementary question of binding energy

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SUMMARY

The discussion centers on the relationship between the interacting energy (U) between two ions in a crystal and the binding energy (W) for one atom. It is established that W is not equal to U; rather, W is defined as W = -(1/2)U. This distinction is crucial for understanding the energy dynamics in ionic crystals. The sign convention is noted as a matter of choice, emphasizing the importance of clarity in definitions.

PREREQUISITES
  • Understanding of ionic crystal structures
  • Familiarity with concepts of binding energy in chemistry
  • Basic knowledge of energy interactions between particles
  • Awareness of sign conventions in physics and chemistry
NEXT STEPS
  • Research the concept of binding energy in ionic compounds
  • Study the derivation of energy interactions in crystal lattices
  • Explore the implications of sign conventions in thermodynamics
  • Examine case studies of ionic crystals and their binding energies
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Chemistry students, physicists, and researchers interested in the energy interactions of ionic crystals and binding energy concepts.

td21
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Hello! I asked this question in Physics section but no one replies so i think it is more a chem question.

When it is given that the interacting energy between 2 ions in a crystal is U, is the binding energy W(for 1 atom) equal to U?
i.e. U=W?

I think it's a reasonable guess;but i also look in some books that "W=-(1/2)U"? Why?and which one is correct? I cannot find anything on the internet, thanks for your help.

My chemistry background is also weak so thanks for your help.
 
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Interaction takes two ions, but you want energy per atom, yes?

Sign is just a matter of convention.
 

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