Calculate the energy difference between the ground state and first excited state, in units of cm using the 3D particle in a box model.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter11: Quantum Mechanics: Model Systems And The Hydrogen Atom
Section: Chapter Questions
Problem 11.61E: What is the physical explanation of the difference between a particle having the 3-D rotational...
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In this problem, you will consider the translational energy of a helium atom in a three-dimensional box with sides of length a 1.2 A, b= 1.4 A, and c = 1.6 A.
1. Calculate the energy of the ground state in units of cm¹ using the 30 particle in a box model.
E11165.95 cm
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Your receipt no. is 159-2491
2. Calculate the energy of the three states with one quantum number n = 2 and other quantum numbers n, 1 in units of cm3 using the 3D particle in a box model.
E11-152.1 cm3
E121 129.2 cm²
F112-114.4 cm²
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Your receipt no. 159-9494
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3. What is the degeneracy of the ground state energy in this system? What is the degeneracy of the first excited state energy?
Degeneracy of ground state 1 Degeneracy of first excited state-1
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3. Calculate the energy difference between the ground state and first excited state, in units of cm using the 30 particle in a box model.
AF=
Be sure to check your units and report your answer in cm3,
cm 1
Incorrect. Tries 2/3 Previous Tries
Transcribed Image Text:In this problem, you will consider the translational energy of a helium atom in a three-dimensional box with sides of length a 1.2 A, b= 1.4 A, and c = 1.6 A. 1. Calculate the energy of the ground state in units of cm¹ using the 30 particle in a box model. E11165.95 cm Computer's answer now shown above. You are correct. Your receipt no. is 159-2491 2. Calculate the energy of the three states with one quantum number n = 2 and other quantum numbers n, 1 in units of cm3 using the 3D particle in a box model. E11-152.1 cm3 E121 129.2 cm² F112-114.4 cm² Computer's answer now shown above. You are correct. Your receipt no. 159-9494 Previous Tries 3. What is the degeneracy of the ground state energy in this system? What is the degeneracy of the first excited state energy? Degeneracy of ground state 1 Degeneracy of first excited state-1 Computer's answer now shown above. You are correct. Your receipt no. is 159-9211 Previous Tries Submit Answer Previous Tries 3. Calculate the energy difference between the ground state and first excited state, in units of cm using the 30 particle in a box model. AF= Be sure to check your units and report your answer in cm3, cm 1 Incorrect. Tries 2/3 Previous Tries
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ISBN:
9781133958437
Author:
Ball, David W. (david Warren), BAER, Tomas
Publisher:
Wadsworth Cengage Learning,