The potential energy U of a diatomic molecule is a function dependent on r (interatomic distance) as U = α r 10 - β r 5 - 3 where, α and β are positive constants. The equilibrium distance between two atoms will be 2 α β a b , where a = ______ .

Question

The potential energy U of a diatomic molecule is a function dependent on r (interatomic distance) as U = &#945; r 10 - &#946; r 5 - 3 where, &#945; and &#946; are positive constants. The equilibrium distance between two atoms will be 2 &#945; &#946; a b , where a = ______ .

Aicharya · Accepted Answer

For equilibrium d U d r = 0 - 10 &#945; r 11 + 5 &#946; r 6 = 0 5 &#946; r 6 = 10 &#945; r 11 r 5 = 2 &#945; &#946; r 5 = 2 &#945; &#946; r = 2 &#945; &#946; 1 5 a = 1

The potential energy U of a diatomic molecule is a function dependent on r (interatomic distance) as U =…

Solution