3. (Reworded McQuarrie 8-2) Consider a trial function of the form (r) = e-ar² for the hydrogen atom. Using the variational method, show that the optimal value of a is given by a = 8/(97a), and evaluate the approximate energy. How does this compare to the exact energy? Side Comment: Trial functions for atoms/molecules often employ orbitals with the form e-ar² (instead of the ear form obtained from the hydrogen atom solution) because it makes the integrals easier, especially for molecules where you have orbitals on many different atoms mixing. е

3. (Reworded McQuarrie 8-2) Consider a trial function of the form (r) = e-ar² for the hydrogen atom. Using the variational method, show that the optimal value of a is given by a = 8/(97a), and evaluate the approximate energy. How does this compare to the exact energy? Side Comment: Trial functions for atoms/molecules often employ orbitals with the form e-ar² (instead of the ear form obtained from the hydrogen atom solution) because it makes the integrals easier, especially for molecules where you have orbitals on many different atoms mixing. е

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...

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3 E D 20 F3 [Review Topics] [References] Use the References to access important values if needed for th a. When 52.70 and 44.375 are divided, the answer should be based on 4 Enter the answer with the correct number of digits. 52.70 44.375= 1.188 An error has been détected in your answer. Check for typos, miscalculations etc. before submitting your answer. C b. When 44.375 is subtracted from 52.70, the answer should be based on 2 decimal place(s). Enter the answer with the correct number of digits. 52.70 44.375= 8.32 Submit Answer $ 4 888 R F Retry Entire Group V % 5 Cengage Learning Cengage Technical Support F5 T G 6 4 more group attempts remaining B MacBook Air F6 Y H & 7 F7 U N * 00 8 J DII FB - M ( 9 K F9 O ) [ V 1 F12 11 21 ? 1
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in text form with proper workings and explanation for each and every part and steps with concept and introduction no AI no copy paste remember answer must be in proper format with all working!!!!!!!
M Apple Google Disney ESPN Yahoo! Biomedical Careers Program Apple iCloud Yahoo Images Bing Google Wikipedia COWLv2 |... b D2L ☆ & G For the reaction r r Submit Answer prod03-cnow-owl.cengagenow.com Fe(s) + 2HCI(aq)→→→FeCl₂(s) + H₂(g) AH° = -7.4 kJ and AS° = 107.9 J/K D2L D2L D2L Facebook Twitter LinkedIn Use the References to access important values if needed for this question. The Weather Channel Yelp TripAdvisor b D2L M G C The maximum amount of work that could be done when 2.08 moles of Fe(s) react at 286 K, 1 atm is Assume that AH° and ASº are independent of temperature. Retry Entire Group 4 more group attempts remaining kj. +88 M
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