Why is it called d (x2-y2)?

1. Jun 30, 2014

americast

Hi all,
One of the orbitals of the d subshell is called d (x^2-y^2). What is the reason behind that? It would be helpful if someone could give the calculations.

Attached Files:

• 1404140431440.jpg
File size:
2.2 KB
Views:
83
2. Jun 30, 2014

DrDu

It is simply the angular part of x^2-y^2. Use $x=r \sin \theta \cos \phi$ and $y=r\sin \theta \sin \phi$.

3. Jun 30, 2014

Mike H

While any decent quantum chemistry or quantum mechanics book should have the calculation for you, I did find these physical chemistry notes online that should do the trick. There's plenty online on (visualization of) the spherical harmonics, so if you need more information on them in particular, shouldn't be too hard to find.

4. Oct 25, 2015