5.2 The potential energy of two atoms in a molecule can sometimes be approximated by the Morse function, (r) (R- = = A [(e³à¯n\/S − 1)² - 1] where r is the distance between the two atoms and A, R, and S are positive constants with S « R. Sketch this function for 0 < r < ∞. Find the equilibrium separation ro, at which U (r) is minimum. Now write r = ro + x so that x is the displacement from equilibrium, and show that, for small displacements, U has the approximate form U = const + kx². That is, Hooke's law applies. What is the force constant k?
5.2 The potential energy of two atoms in a molecule can sometimes be approximated by the Morse function, (r) (R- = = A [(e³à¯n\/S − 1)² - 1] where r is the distance between the two atoms and A, R, and S are positive constants with S « R. Sketch this function for 0 < r < ∞. Find the equilibrium separation ro, at which U (r) is minimum. Now write r = ro + x so that x is the displacement from equilibrium, and show that, for small displacements, U has the approximate form U = const + kx². That is, Hooke's law applies. What is the force constant k?
Related questions
Question
![5.2 The potential energy of two atoms in a molecule can sometimes be approximated by the Morse
function,
(r)
(R-
=
= A [(e³à¯n\/S − 1)² - 1]
where r is the distance between the two atoms and A, R, and S are positive constants with S « R. Sketch
this function for 0 < r < ∞. Find the equilibrium separation ro, at which U (r) is minimum. Now write
r = ro + x so that x is the displacement from equilibrium, and show that, for small displacements, U
has the approximate form U = const + kx². That is, Hooke's law applies. What is the force constant k?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d409dbe-0069-4bdd-acc1-9391e01545d6%2F8d36df81-fa30-413b-8ab5-daf580212e2f%2Fakof83_processed.png&w=3840&q=75)
Transcribed Image Text:5.2 The potential energy of two atoms in a molecule can sometimes be approximated by the Morse
function,
(r)
(R-
=
= A [(e³à¯n\/S − 1)² - 1]
where r is the distance between the two atoms and A, R, and S are positive constants with S « R. Sketch
this function for 0 < r < ∞. Find the equilibrium separation ro, at which U (r) is minimum. Now write
r = ro + x so that x is the displacement from equilibrium, and show that, for small displacements, U
has the approximate form U = const + kx². That is, Hooke's law applies. What is the force constant k?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 8 images
