1 / 1

Quantum Mechanics Tutorial: Electron Wavefunctions, Orbital Nodes, and Stability Analysis

Learn the wavefunction derivation and radial plots of S and P orbitals in hydrogen atoms in polar coordinates. Explore radial nodes in different orbitals and interpret radial distribution functions to understand electron distribution. Confirm the stability of electronic configurations using Slater’s rule.

verity
Download Presentation

Quantum Mechanics Tutorial: Electron Wavefunctions, Orbital Nodes, and Stability Analysis

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Tutorial -2 (19/8/13) 1) (a) Write down the wavefunction(derived from Schrödinger equation) of electron in polar coordinates. (b) Plot the radial part of wavefunction of s orbitals (1s and 2s) of hydrogen atom against distance, r, from the nucleus. (c) Plot the radial part of wavefunction of p orbitals (2p and 3p) against distance, r, from the nucleus. 2) How many radial nodes are possible for 1s, 2s, 2p, 3p and 3d orbitals. 3) Plot the radial distribution function [4πr2R(r)2] of s orbitals (1s, 2s, 3s) against distance, r, from the nucleus. Explain the signification of radial distribution function from each plot. 4) Using Slater’s rule confirm that the experimentally observed electronic configuration of K, 1s2 2s2 2p6 3s2 3p64s1, is energetically more stable than the configuration 1s2 2s2 2p6 3s2 3p63d1.

More Related