Write the Hamiltonian operator for the LiH molecule. Which of the terms in the Hamiltonian operator may be neglected when using the Born-Oppenheimer approximation? Step 1 of 7 List the terms that represent the kinetic energies of the nuclei. (Enter your answers as a comma-separated list. Use A to represent the Laplace operator, V2, Use the following as necessary: mLi, mH, ALi, and AH-) 2m "Li 2m "H 1 1 ALi 2my Li 2mLi Are these terms positive or negative when used in the Hamiltonian operator? positive P negative

Write the Hamiltonian operator for the LiH molecule. Which of the terms in the Hamiltonian operator may be neglected when using the Born-Oppenheimer approximation? Step 1 of 7 List the terms that represent the kinetic energies of the nuclei. (Enter your answers as a comma-separated list. Use A to represent the Laplace operator, V2, Use the following as necessary: mLi, mH, ALi, and AH-) 2m "Li 2m "H 1 1 ALi 2my Li 2mLi Are these terms positive or negative when used in the Hamiltonian operator? positive P negative

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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Concept explainers

Atomic Structure

The basic structure of an atom is defined as the component-level of atomic structure of an atom. Precisely speaking an atom consists of three major subatomic particles which are protons, neutrons, and electrons. Many theories have been stated for explaining the structure of an atom.

Shape of the D Orbital

Shapes of orbitals are an approximate representation of boundaries in space for finding electrons occupied in that respective orbital. D orbitals are known to have a clover leaf shape or dumbbell inside where electrons can be found.

Question

Write the Hamiltonian operator for the LiH molecule. Which of the terms in the Hamiltonian operator may be neglected when using the Born-Oppenheimer approximation?
Step 1 of 7
List the terms that represent the kinetic energies of the nuclei. (Enter your answers as a comma-separated list. Use A to represent the Laplace operator, V2. Use the following as necessary: mLi, mH, Ali, and AH.)
1
ALi ´2m
1
2m
1
ALi:
2mH
Li
Н
-AH
2mLi
Are these terms positive or negative when used in the Hamiltonian operator?
O positive
negative
Step 2 of 7
Assuming that the subscript "1" represents the electron on the hydrogen atom and the subscripts "2", "3", and "4" represent the electrons on the lithium atom, list the terms that represent the kinetic energies of the
electrons. (Enter your answers as a comma-separated list. Use A to represent the Laplace operator, V². Use the following as necessary: A1, A2, A3, and A4.)
Δ1
2m
2m
(G) ». ()
() » ()
-
A2,
Li
H
Are these terms positive or negative when used in the Hamiltonian operator?
O positive
negative
Step 3 of 7
List the terms that represent the potential energies between the electrons ("1", "2", "3", and "4") and the hydrogen nucleus. (Enter your answers as a comma-separated list. Use A to represent the Laplace operator, V2. Use
r#H to represent the distance between an electron and the hydrogen nucleus as necessary: r1H, r2H, r3H, and r4h-)
Are these terms positive or negative when used in the Hamiltonian operator?
O positive
O negative

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