Homework Help is Here – Start Your Trial Now!
Science
Chemistry
Consider a hypothetical X-Y- ion pair for which the equilibrium interionic spacing and bonding energy values are 0.38 nm and -5.37 eV, respectively. If it is known that exponent of the Born repulsion is n=8. The interatomic potential energy functional is given by E(r) A B + r ..(1) Determine the values A and B in equation (1). Plot equation (1). Clearly mark the bond length, the bond energy, the Born repulsion due to the Pauli Exclusion Principle and Coulomb attraction contributions to En on the plot. Plot FN vs. r. Show its relation to the E(r) vs. r plot in (2), and indicate its correlation with Ebond and ro. 4 On what does the modulus of elasticity depend? Discuss concisely and use sketches as needed.

Consider a hypothetical X-Y- ion pair for which the equilibrium interionic spacing and bonding energy values are 0.38 nm and -5.37 eV, respectively. If it is known that exponent of the Born repulsion is n=8. The interatomic potential energy functional is given by E(r) A B + r ..(1) Determine the values A and B in equation (1). Plot equation (1). Clearly mark the bond length, the bond energy, the Born repulsion due to the Pauli Exclusion Principle and Coulomb attraction contributions to En on the plot. Plot FN vs. r. Show its relation to the E(r) vs. r plot in (2), and indicate its correlation with Ebond and ro. 4 On what does the modulus of elasticity depend? Discuss concisely and use sketches as needed.

Chemistry
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...
See similar textbooks
icon
Related questions
Question

Solve 2-4 with full detail and data on excel

Consider a hypothetical X-Y-ion pair for which the equilibrium interionic spacing and bonding energy values are 0.38 nm and -5.37 eV, respectively. If it is known that exponent of the Born repulsion is n=8. The interatomic potential energy functional is given by A E(r) = - + r needed. B r .(1) I Determine the values A and B in equation (1). > Plot equation (1). Clearly mark the bond length, the bond energy, the Born repulsion due to the Pauli Exclusion Principle and Coulomb attraction contributions to En on the plot. Plot FN vs. r. Show its relation to the E(r) vs. r plot in (2), and indicate its correlation with Ebond and ro. On what does the modulus of elasticity depend? Discuss concisely and use sketches as
Transcribed Image Text:Consider a hypothetical X-Y-ion pair for which the equilibrium interionic spacing and bonding energy values are 0.38 nm and -5.37 eV, respectively. If it is known that exponent of the Born repulsion is n=8. The interatomic potential energy functional is given by A E(r) = - + r needed. B r .(1) I Determine the values A and B in equation (1). > Plot equation (1). Clearly mark the bond length, the bond energy, the Born repulsion due to the Pauli Exclusion Principle and Coulomb attraction contributions to En on the plot. Plot FN vs. r. Show its relation to the E(r) vs. r plot in (2), and indicate its correlation with Ebond and ro. On what does the modulus of elasticity depend? Discuss concisely and use sketches as
Expert Solution
Step 1

1. Determination of the values A and B:

To determine the values of A and B, we need to use the given information and the equation for the potential energy functional:

  • Equilibrium interionic spacing: r0 = 0.38 nm
  • Bonding energy: Ebond = -5.37 eV
  • Exponent of Born repulsion: n = 8

Using the equation for the potential energy functional:

E(r) = -(Ar) + (Brn)

At equilibrium, the energy is minimized, so we can set the derivative of E(r) with respect to r to zero:

dEdr = Ar2 - (nBr(n+1)) = 0

Solving for A and B in terms of r0 and Ebond, we get:

A = n×r0(n+1)×Ebond(n-1)B=r0(n+1)×Ebond(n-1)

Plugging in the values for r0, Ebond, and n, we get:

A = 5.64 x 10-20 J

B = 1.05 x 10-119 J m8

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Properties of Solids
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
SEE MORE TEXTBOOKS