110318 - 1 CHM3400 - Lecture 27 Mar 18 Schroedinger wave...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 CHM3400 - Lecture 27 Mar 18 Schroedinger wave equation (Chapter 11 416-426) Wave equations Particle in a 1-D box comparison to hydrogen atom and molecular case 2 Schroedinger equation E V dx d m h = + 2 2 2 2 8 Kinetic energy Potential energy Total energy Time-independent Schroedinger equation in one dimension (x): = wavefunction Unacceptable wavefunctions: Well-behaved wavefunction: 1. must be single-valued at any point 2. must be finite 3. must have a smooth and continuous function 3 Particle in a 1-D box Imagine particle in a 1-D box with infinite potential barriers: E dx d m h = 2 2 2 2 8 Potential V = 0 in box Total energy is kinetic energy only: What E and are allowed for such an equation? ) cos( ) sin( kx B kx A + = Boundary conditions: ) ( ) ( = = L sin(0) = 0 and cos(0) = 1, if B =0 ) cos( ) sin( ) ( = + = kx B kx A 4 ) sin( kx A = E dx d m h = 2 2 2 2 8 Particle in a 1-D box )...
View Full Document

Page1 / 11

110318 - 1 CHM3400 - Lecture 27 Mar 18 Schroedinger wave...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online