Using the optimized geometry, the Hessian can be calculated, and its eigenvalues and eigenvectors found. 

 

These turn out to be very important - they relate to the vibrational motion of the molecule. 

 

They allow us to calculate the normal modes of vibration, and to visualize them:

Calculated frequency: 2169cm-1 (experimental value: 1595 cm-1)

 

Calculated frequency: 4141cm-1 (experimental value: 4070 cm-1)

Calculated frequency 4392 cm-1 (experimental value 4188cm-1)

 

Next: Lecture 3