MultielectronAtomsLects6&7ME501F2011

MultielectronAtomsLects6&7ME501F2011 - Purdue...

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Patterned Border Template 1 Purdue University School of Mechanical Engineering ME 501: Statistical Thermodynamics Lectures 6 & 7: Structure of Multielectron Atoms Prof. Robert P. Lucht Room 2204, Mechanical Engineering Building School of Mechanical Engineering Purdue University West Lafayette, Indiana Lucht@purdue.edu , 765-494-5623 (Phone) September 7 and 9, 2011
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Patterned Border Template 2 Purdue University School of Mechanical Engineering Lecture Topics Electron configurations for multielectron atoms: energy ordering of configurations. Spectroscopic terms and energy levels for multielectron atoms. Radiative transitions for multielectron atoms.
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Patterned Border Template 3 Purdue University School of Mechanical Engineering Multielectron Atoms: Electronic Configurations Our discussion of the energy level structure of multielectron atoms will be based on: 1. The Pauli exclusion principle 2. The results of approximate solutions of the SWE for multielectron atoms • From a consideration of the symmetry properties of the wavefunction, the Pauli exclusion principle is developed: No two electrons of a multielectron atom may occupy the same quantum state. This is a result of the fact that the spin s of the electron is 1/2. The electron is therefore in a class of particles called fermions, particles with half-integral spins. Bosons are particles with integral spins.
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Patterned Border Template 4 Purdue University School of Mechanical Engineering Multielectron Atoms: Electronic Configurations The results of approximate solutions of the SWE for multielectron atoms indicate that the same set of quantum numbers ( n , l , m l , m s ) that apply to the hydrogen atom also have meaning for a multielectron atom. 1. For given values of n , the radial part of the wavefunction exhibits maxima at nearly the same value of r. Electrons that have the same value of n are referred to as a shell. 2. For a hydrogen atom, the energy is dependent only on the quantum number n if spin-orbit effects are neglected. For a multielectron atom, the energy of each electron depends on both the quantum numbers and because the potential V i ( r ) that each electron sees is not a centrally symmetric Coulomb potential.
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MultielectronAtomsLects6&7ME501F2011 - Purdue...

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