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2) Using Lennard-Jones model for the potential energy (V) as a function of the distance (r) between particles, derive, at which separation: a) potential energy is zero b) force is zero c) potential energy minimum (Hint: dV/dr = 0) d) force is minimum (Hint: dF/dr = 0)

2) Using Lennard-Jones model for the potential energy (V) as a function of the distance (r) between particles, derive, at which separation: a) potential energy is zero b) force is zero c) potential energy minimum (Hint: dV/dr = 0) d) force is minimum (Hint: dF/dr = 0)

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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2) Using Lennard-Jones model for the potential energy (V) as a function of the distance (r) between particles, derive, at which separation: a) potential energy is zero b) force is zero c) potential energy minimum (Hint: dV/dr = 0) d) force is minimum (Hint: dF/dr = 0) For Argon, at the values of scaled distance r/ro between 0.95 and 2.05, with the step size 0.05 calculate: e) potential energies V, attractive forces Fa, repulsive forces F, and total forces F and list in a Table with the types of net interactions. (Please attach Excel worksheet) f) Plot V versus r. g) Plot three forces (Fa, F, and F) versus r on the same chart. h) Mark the points on the charts corresponding to the distances in “a), b), c) and d)".
Transcribed Image Text:2) Using Lennard-Jones model for the potential energy (V) as a function of the distance (r) between particles, derive, at which separation: a) potential energy is zero b) force is zero c) potential energy minimum (Hint: dV/dr = 0) d) force is minimum (Hint: dF/dr = 0) For Argon, at the values of scaled distance r/ro between 0.95 and 2.05, with the step size 0.05 calculate: e) potential energies V, attractive forces Fa, repulsive forces F, and total forces F and list in a Table with the types of net interactions. (Please attach Excel worksheet) f) Plot V versus r. g) Plot three forces (Fa, F, and F) versus r on the same chart. h) Mark the points on the charts corresponding to the distances in “a), b), c) and d)".
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