Use a trial function p = c₁x(a − x) + c₂x²(a − x)² - for a particle in a one-dimensional box. For simplicity, let a= 1, which amounts to measuring all distances in units of a. Use the properties provided in the image to show the results of each value of H and S. Show procedure in a clear way. Do not skip any steps

World of Chemistry, 3rd edition
3rd Edition
ISBN:9781133109655
Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
Chapter10: Energy
Section: Chapter Questions
Problem 2STP
icon
Related questions
Question

Use a trial function p = c₁x(a − x) + c₂x²(a − x)² - for a particle in a one-dimensional box. For simplicity, let a= 1, which amounts to measuring all distances in units of a. Use the properties provided in the image to show the results of each value of H and S. Show procedure in a clear way. Do not skip any steps 

ħ²
6m
H12 = H₂1 =
H22
ħ²
105m
H₁1 =
ħ²
30m
S₁1 = 30
Su
S12 = S21 =
S22 =
630
140
Transcribed Image Text:ħ² 6m H12 = H₂1 = H22 ħ² 105m H₁1 = ħ² 30m S₁1 = 30 Su S12 = S21 = S22 = 630 140
Hij
1
= [' þ¡(x)Ĥþ¡(x)dx
0
Sij
1
=
= [ ^
S pi(x)dj (x)dx
Transcribed Image Text:Hij 1 = [' þ¡(x)Ĥþ¡(x)dx 0 Sij 1 = = [ ^ S pi(x)dj (x)dx
Expert Solution
steps

Step by step

Solved in 9 steps with 12 images

Blurred answer
Knowledge Booster
Atomic Structure and Spectra
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.
Recommended textbooks for you
World of Chemistry, 3rd edition
World of Chemistry, 3rd edition
Chemistry
ISBN:
9781133109655
Author:
Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
Publisher:
Brooks / Cole / Cengage Learning
Chemistry for Engineering Students
Chemistry for Engineering Students
Chemistry
ISBN:
9781285199023
Author:
Lawrence S. Brown, Tom Holme
Publisher:
Cengage Learning
General Chemistry - Standalone book (MindTap Cour…
General Chemistry - Standalone book (MindTap Cour…
Chemistry
ISBN:
9781305580343
Author:
Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:
Cengage Learning