Determine the Hamiltonian for Multi-Electron Atoms #2 (Lithium)

Determine the Hamiltonian for Multi-Electron Atoms #2 (Lithium)

Assessment

Interactive Video

Science, Physics, Chemistry

University

Hard

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The video tutorial explains the process of deriving the Hamiltonian for a lithium atom, a multielectron system. It covers the concepts of kinetic energy, potential energy, and the forces of attraction and repulsion between electrons and the nucleus. The tutorial emphasizes the importance of drawing free body diagrams to visualize these forces and systematically add up the energy terms to construct the Hamiltonian. The process is described as mechanical and repetitive, highlighting the challenges of solving larger systems analytically.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the charge of the nucleus in a lithium atom and how does it affect the Hamiltonian?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of drawing a free body diagram when determining the Hamiltonian for multielectron atoms.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the potential energy terms for the first electron in a lithium atom.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the repulsion terms between electrons in a lithium atom and how are they calculated?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do the kinetic energy terms contribute to the Hamiltonian for a lithium atom?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the challenges of solving the Hamiltonian analytically for larger atoms.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the overall process for calculating the Hamiltonian for a multielectron atom?

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