Cohesive energy of covalent crystal

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SUMMARY

The discussion focuses on deriving expressions for the equilibrium interatomic spacing and cohesive energy in covalent crystals using the potential energy formula φ(r) = 2ε [A (σ/r)^12 - B (σ/r)^6]. The participants emphasize that cohesive energy varies among different materials and seek references for further understanding. The key takeaway is that the equilibrium spacing can be determined from the pair potential φ(r), and the cohesive energy can be calculated by evaluating the volumetric energy difference associated with bonding.

PREREQUISITES
  • Understanding of potential energy functions in solid-state physics
  • Familiarity with covalent bonding and crystal structures
  • Knowledge of mathematical derivation techniques for energy equations
  • Basic concepts of volumetric energy calculations in materials science
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This discussion is beneficial for materials scientists, physicists, and students studying solid-state physics, particularly those interested in the properties of covalent crystals and their energy characteristics.

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Homework Statement


The potential Energy per atom in a covalent crystal with interatomic spacing r may be written φ(r) =2ε [A (σ/r)^12 -B (σ/r)^ 6 ]
Derive expressions for the equilibrium interatomic spacing and the cohesive energy of the crystal.


Homework Equations


Again the problem is that i have a covalent crystal .I think cohesive energy is different for different materials, so i would like to give me only a reference (website if possible ) to look if someone knows.


The Attempt at a Solution


 
Physics news on Phys.org
Forget about the material; it's irrelevant. Given any pair potential φ(r), how do you find the equilibrium spacing? Once you have that, what's the volumetric energy difference between having a bond and not having a bond?
 

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