Radial and angular nodes and their significance

Radial and angular nodes and their significance

1. Radial and angular nodes and their significance. Mr. Mithil Fal Desai, Ph. D. Assistant Professor in Chemistry Shree Mallikarjun and Shri Chetan Manju Desai College Canacona , Goa

2. Wave function (r, = R(r) , Y ( )   Angular wave function Radial wave function

3. Orbital Quantum number Radial component of wave function ‘ R(r) ’ Radial component of wave function ‘ Y(𝛉, 𝛟) ’ 1s n = 1, l = 0 2 2p n = 2, l = 1 Orbital Quantum number Radial component of wave function ‘ R(r) ’ Radial component of wave function ‘ Y(𝛉, 𝛟) ’ 1s n = 1, l = 0 2p n = 2, l = 1 Radial and angular component of wave function r = distance from nucleus, e = base of natural logarithm, Z = atomic number, = Bohr radius (52.9 pm) and n = principal quantum number  

4. R(r)= 2   Radial wave function of 1s orbital

5.   Wave function of S orbital and boundary surface x y z

6. R(r) =   Radial wave function of 2s electrons Node Radial wave function is zero

7. Radial wave function of 2p orbital  

8.   Wave function of p orbital + x y z -

9. Boundary surface of p orbital x y z - + Angular wave function zero along xy plane A ngular node