# How does dx2-dy2 orbital have two nodal planes? How can they be in 45 degrees with x and y axis?

Umakant biswal
5349 Points
7 years ago
@ subhendra
nodal plane is a plane in which the probability of finding a electron is zero. The 2s orbital has a nodal shell, whereas the 2pz orbital or 2p orbitals have a nodal plane.
so, when u will look the representation of these orbitals in crystal field theory , then u can easily detect that
here dx2-dy2 orbital..
and x+y = 0 and x-y = 0 are the nodal planes, beacuse there are no probability of finding the electron their .
and they are always lie at 45 degree with each other , as its the angular dependence of crystal field theory and beyond that the repulsion will be more ..
ALL THE BEST ..

Abhisek
15 Points
4 years ago
Node is that region where wave function of electron changes it's sign from  + to -
Means it has to be zero
The angular part of dx2-y2 is propertional to
X2-y2/r2=0
=>x2-y2=0
=>x=y or x=-y
Which are equation of plane 45 degrees with xaxis
:)Hope it helps