The potential energy function for the force between two atoms in a diatomic molecule is approximately given by U(x)= a x¹² - b x^6 , where a and b are constants and x is the distance between the atoms. If the dissociation energy of the mole

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The potential energy function for the force between two atoms in a diatomic molecule is approximately given by U(x)= a x¹² - b x^6 , where a and b are constants and x is the distance between the atoms. If the dissociation energy of the molecule is D= [U(x= )-U_ at equilbrium ], D is

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Correct answer: C. b^2 4 a

aligned & U(x)= a x¹² - b x^6 & U(x= )=0 aligned as, F =- dU dx =- [ 12 a x ¹³ + 6 ~b x ^7 ] at equilibrium, F=0 array ll & x^6= 2 a b & U_ at equiltrium = a ( 2 a b )^2 - b ( 2 a b ) = -b^2 4 a & D= [U(x= )-U_ at equilibium ]= b^2 4 a array

The potential energy function for the force between two atoms in a diatomic molecule is approximately given by U(x)= a x¹² - b x^6 , where a and b are constants and x is the distance between the atoms. If the dissociation energy of the molecule is D= [U(x= )-U_ at equilbrium ], D is

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