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

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.

What is the charge of the nucleus in a lithium atom?

• Plus four

• Plus three

• Plus two

• Plus one

Which of the following is NOT a component of the Hamiltonian?

• Repulsive energy

• Thermal energy

• Attractive energy

• Kinetic energy

How is the potential energy of attraction for an electron calculated?

• Positive Z * E^2 / 2 Pi epsilon 0 times radius

• Negative Z * E^2 / 4 Pi epsilon 0 times radius

• Negative Z * E^2 / 2 Pi epsilon 0 times radius

• Positive Z * E^2 / 4 Pi epsilon 0 times radius

What is the repulsion energy between two electrons dependent on?

• The speed of the electrons

• The mass of the electrons

• The distance between the electrons

• The charge of the nucleus

What is the kinetic energy term for an electron in the Hamiltonian?

• H bar squared over 2 times the mass of the electron

• Negative H bar squared over 2 times the mass of the electron

• H bar squared over 4 times the mass of the electron

• Negative H bar squared over 4 times the mass of the electron

Why is it difficult to solve the Hamiltonian analytically for larger atoms?

• Because the nucleus charge increases

• Because the number of electrons increases

• Because the repulsion terms become negative

• Because the kinetic energy terms become zero

What is a helpful tool when dealing with multielectron atoms?

• A periodic table

• A free body diagram

• A calculator

• A spectrometer