(a) between 4.95 nm and 5.05 nm (b) between 1.95 nm and 2.05 nm (c) between 9.90 nm and 10.00 nm (d) in the right half of the box (e) in the central third of the box 2. The energy levels of a particle of mass, m, in a box length L = 10 Å are given by: n²h? E = 8mL2 · Suppose that the particle is an electron and that the box represents a long conjugated molecule. What are energy separations in kJ mol¬', eV, and cm-1 between levels: (a) n = 2 and n = 1 (b) n = 6 and n = 5 3. Calculate the expectation value of p² for a particle in a one dimensional square-well potential. 4. Calculate the expectation value of x² for a particle in a one dimensional square-well potential.

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...
icon
Related questions
Question

Show your all calculation

(a) between 4.95 nm and 5.05 nm
(b) between 1.95 nm and 2.05 nm
(c) between 9.90 nm and 10.00 nm
(d) in the right half of the box
(e) in the central third of the box
2. The energy levels of a particle of mass, m, in a box length L = 10 Å are given by:
n²h?
E =
8mL2
· Suppose that the particle is an electron and that the box represents a long conjugated molecule. What are
energy separations in kJ mol¬', eV, and cm-1 between levels:
(a) n = 2 and n = 1
(b) n = 6 and n = 5
3. Calculate the expectation value of p² for a particle in a one dimensional square-well potential.
4. Calculate the expectation value of x² for a particle in a one dimensional square-well potential.
Transcribed Image Text:(a) between 4.95 nm and 5.05 nm (b) between 1.95 nm and 2.05 nm (c) between 9.90 nm and 10.00 nm (d) in the right half of the box (e) in the central third of the box 2. The energy levels of a particle of mass, m, in a box length L = 10 Å are given by: n²h? E = 8mL2 · Suppose that the particle is an electron and that the box represents a long conjugated molecule. What are energy separations in kJ mol¬', eV, and cm-1 between levels: (a) n = 2 and n = 1 (b) n = 6 and n = 5 3. Calculate the expectation value of p² for a particle in a one dimensional square-well potential. 4. Calculate the expectation value of x² for a particle in a one dimensional square-well potential.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Quality Assurance and Calibration Methods
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