81. Take the derivative of the Lennard–Jones potential to express the force exerted on one atom by another as a function of the distance R between them. Calculate the forces (in joules per meter) on a pair of interacting argon atoms at distances of 3.0, 3.4, 3.8, and 4.2 × 10210 m. To calculate the direction of the force on each atom, assume that one Ar atom is at the origin and the other argon atom is at the coordinates (23.0 Å, 0), (23.4 Å, 0), (23.8 Å, 0), and (24.2 Å, 0). Calculate the vector components Fx and Fy for the force F
81. Take the derivative of the Lennard–Jones potential to
express the force exerted on one atom by another as a
function of the distance R between them. Calculate the
forces (in joules per meter) on a pair of interacting argon
atoms at distances of 3.0, 3.4, 3.8, and 4.2 × 10210 m. To
calculate the direction of the force on each atom, assume
that one Ar atom is at the origin and the other argon atom
is at the coordinates (23.0 Å, 0), (23.4 Å, 0), (23.8 Å, 0),
and (24.2 Å, 0). Calculate the vector components Fx and
Fy for the force F
5 (Fx, Fy) on the argon atom at the origin (particle 1 in the solutions) and the vector components
for the force on the other atom (particle 2 in the solution),
showing explicitly what you are using for the unit vector
ˆ21 r or the unit vector ˆ12 r . (Hint: Use Eq. 3.4, but with the
correct V(R).) Is the force
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