3. Hydrogen Atom – Atomic Orbitals Lecture - 3

4. X Y Z x P (e - ) z Q y R

5. K. E. P. E.

6. X Y Z x P (e - ) z Q y R

7. Change to POLAR CO-ORDINATES! X Y Z x P (e - ) z Q y R r θ ϕ

8. can now be solved to find the wave functions of stationary states (standing waves)!

9. Only certain energies are possible! Principal quantum number

10. Azimuthal quantum number

11. Radial wave function Angular wave function

13. From Zumdahl

14. Shapes of Atomic Orbitals a) Polar Plots b) Density Plots (written by Deepika) c) Radial Plots