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The net potential energy between two inert-gas atoms can bemodeled by the follow

ID: 1672914 • Letter: T

Question

The net potential energy between two inert-gas atoms can bemodeled by the following equation, known as the Jones potential,where A and B are positive constants and r represents theseperation distance between the atoms. (a) Find an expression for the force that corresponds to thisatomic potential. (b)What is the equilibrium spacing of the atoms, where theenergy is minimized? This will occur when the derivative of theenergy function equals zero. Express your answers in terms of A andB. Please show steps and formulas used

Explanation / Answer

a) F = -dPE(r)/dr = 12A/r13 - 6B/r7 b) F = 0, 12A/r13 = 6B/r7, r = (2A/B)1/6

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