If the two atoms are pulled apart, show that they will separate most easily when r = (28b/a)^1/6.

Question 1

If the two atoms are pulled apart, show that they will separate most easily when r = (28b/a)1/6.

Question 2

Force, F = −dV/dr = a/r2 − 7b/r8

The particles will separate most easily when the force between them is a minimum, that is when dF/dr = 0.

This gives: dF/dr = −2a/r3 + 56b/r9 = 0

r = (28b/a)1/6

kratos · Answer 1 · 2020-10-16T08:16:34+0000

Force, F = −dV/dr = a/r2 − 7b/r8

The particles will separate most easily when the force between them is a minimum, that is when dF/dr = 0.

This gives: dF/dr = −2a/r3 + 56b/r9 = 0

r = (28b/a)1/6

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