10 Lecture19 Feb 22 - CHEM 350 Lecture 19, February 22 2010...

Info iconThis preview shows pages 1–2. 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
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: CHEM 350 Lecture 19, February 22 2010 Rotations . First let us review briefly the quantum mechanical description of simple rotational motion for a rigid rotor: ~ 2 c J 2 2 R 2 e ( , ) = E rot ( , ) , Upon setting R 2 e = I (the moment of inertia of the rotor), we obtain E rot = ~ 2 2 I j ( j + 1) = j , j = 0 , 1 , 2 , The j,m j ( , ) = Y j,m j ( , ) are the spherical harmonics: for each value of j , there will be 2 j + 1 values of m j and, as the energy depends only upon j , each level will be (2 j + 1)fold degenerate! q rot ( T ) X states e- E state = X j,m j e- j,m j X levels level e- level = X j =0 (2 j + 1)e- j rotational temperature: rot = ~ 2 2 Ik B from E rot = ~ 2 2 I j ( j + 1) rot T j ( j + 1) (i) For temperatures T such that T rot , q rot ( T ) can be written as q rot ( T ) 1 + 3e- 2 rot /T + 5e- 6 rot /T + (ii) For temperatures T such that T rot , we have q rot ( T ) =...
View Full Document

This note was uploaded on 04/11/2010 for the course CHEM 1101 taught by Professor Leroy during the Spring '10 term at University of Toronto- Toronto.

Page1 / 2

10 Lecture19 Feb 22 - CHEM 350 Lecture 19, February 22 2010...

This preview shows document pages 1 - 2. Sign up to view the full document.

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