Question

Potential energy function describing the interaction between two atoms of a diatomic molecule as a function of distance between them,

ris U(r) = a/r^12 - b/r^6, where a and b are positive constants. Force acting between them will be

repulsive, when the distance (r) between them is​

Answer 1

Answer:

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Explanation:

The potential energy function between the two atoms of diatomic molecules is

u(r)=

r

′2

a

−

r

6

b

(a) The force function F(r) is calculate as

u(r)=

r

′2

a

−

r

6

b

F(r)=

dr

du(r)

=

dr

d

(

r

′2

a

−

r

6

b

)

F(r)=−12ar

−13

+6r

−7

(b) The molecule will be in stable equation F(r)=0

−12r

−13

+6r

−7

=0

−12r

−13

=−6r

−7

2r

−13

−r

−7

=0

r

−7

(2r

−6

−1)=0

2r

−6

=1

r

6

2

=1

r

6

=2

r=(2)

6

1