For a 3s- orbital Psi (3s) = 1/(9sqrt(3)) ((1)/(a_0))^(3//2) (6 - 6sigma + sigma^2)e^(-sigma//2), where sigma = (2rZ)/(3a_0) . What is the maximum radial distance of node from nucleus?

For a 3s- orbital Psi (3s) = 1/(9sqrt(3)) ((1)/(a_0))^(3//2) (6 - 6sig

1.	For a 3s- orbital Psi (3s) = 1/(9sqrt(3)) ((1)/(a_0))^(3//2) (6 - 6sigma + sigma^2)e^(-sigma//2), where sigma = (2rZ)/(3a_0) . What is the maximum radial distance of node from nucleus?
Answer» `((3+ SQRT(3))a_0)/(z)` `(a_0)/(z)` `3/2 ((3+SQRT3)a_0)/(z)` `(2a_0)/(z)` Solution :At radial NODE `varphi^2 =0 , sigma^2 - 6 sigma + 6 =0` `sigma = 3 + sqrt3 , r =3/2 ((3+sqrt3)/(2))a_0`