Q1: In argon gas, the interaction between two Ar atoms, separated by a distance r, can be very well described by the Lennard-Jones (LJ) potential energy: V (r) = 4e The parameters o and e determine the shape and the strength of the potential. For argon, 1 = 0.34 nm and e = 120kg K (where kg is the Boltzmann constant). (a) Is the LJ interaction given above attractive or repulsive? What happens if two Ar atoms are brought very close to each other? What if they are far from each other? (b) Based on your answer in the previous part, describe the general motion of two Ar atoms brought close to each other and allowed to move from rest. (c) Does the LJ potential allow for equilibrium separation between two Ar atoms? If so, is it stable or unstable separation?

Q1: In argon gas, the interaction between two Ar atoms, separated by a distance r, can be very well described by the Lennard-Jones (LJ) potential energy: V (r) = 4e The parameters o and e determine the shape and the strength of the potential. For argon, 1 = 0.34 nm and e = 120kg K (where kg is the Boltzmann constant). (a) Is the LJ interaction given above attractive or repulsive? What happens if two Ar atoms are brought very close to each other? What if they are far from each other? (b) Based on your answer in the previous part, describe the general motion of two Ar atoms brought close to each other and allowed to move from rest. (c) Does the LJ potential allow for equilibrium separation between two Ar atoms? If so, is it stable or unstable separation?

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Q1: In argon gas, the interaction between two Ar atoms, separated by a distance r, can be
very well described by the Lennard-Jones (LJ) potential energy:
o12
V (r) = 4€
r12
76
The parameters o and e determine the shape and the strength of the potential. For argon,
o = 0.34 nm and e = 120kg K (where kg is the Boltzmann constant).
(a) Is the LJ interaction given above attractive or repulsive? What happens if two Ar atoms
are brought very close to each other? What if they are far from each other?
(b) Based on your answer in the previous part, describe the general motion of two Ar atoms
brought close to each other and allowed to move from rest.
(c) Does the LJ potential allow for equilibrium separation between two Ar atoms? If so, is
it stable or unstable separation?
(d) Based on your answers in the previous parts, determine the "spring constant" (in N/m)
related to the LJ potential.

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