QuestionA quantitative theory of bonding in ionic crystal was developed by Born and Meyer along thefollowing the lines: the total force of the system is taken to be:αe²4πε r2where N is the number of positive - negative ion pairs, A and n are constants determined fromexperiment and a the Madelung constant which depends on the crystal structure of the solid.1. Derive an expression of the total potential energy of the ionic crystal and identify therepulsion and the attraction terms.Derive an expression of the equilibrium interatomic distance ro.Derive an expression of the bonding energy U(ro).4.If the charge of the ions is double (2e), by what factor both the equilibrium interatomicspacing ro and the bonding energy change. Indicate which parameters increases ordecreases. Comment on the magnitude of the change of both parameters.2.3.NA- N7-72F(r) = N

Given: The total force of the system is given as Fr = N Arn-Nα e24π ε0 r2 Where N is the number of…

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SAMPLE PROBLEMS & SOLUTIONS Example 1: The interacting potential energy between two ions is represented by the following expression: -1.252 5.625 x 10-6 U = ..Eqn(1) r8 Where (r) is the distance in nm (1nm = 10-m) (U) is in kJ Calculate: a) The equilibrium distance ro in nm. b) The minimum bond energy in kJ. c) The maximum interionic force for the bond in kN.
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