For a hydrogen-like chemical species, the radial and angular parts of the wave function are, respectively: Radial wave function: R ( r ) = 81 30 4 ( a 0 Z ) 3/2 ( a 0 Z r ) 2 e − Z r /3 a

Question

For a hydrogen-like chemical species, the radial and angular parts of the wave function are, respectively:

Radial wave function: $R (r) = \frac{4}{81 30} (\frac{Z}{a _{0}})^{3/2} (\frac{Z r}{a _{0}})^{2} e^{- Z r /3 a_{0}}$

Angular wave function: $Θ (θ) Φ (ϕ) = \frac{15}{16 π} sin^{2} θ cos (2 ϕ)$

Which of the following is/are correct about the given wave function?

TestHub · Accepted Answer

The angular part sin 2 θ cos ( 2 ϕ ) corresponds to d-orbital ⇒ ( l = 2 ) The radial part shows n = 3 ⇒ principal quantum number n = 3 . For l = 2 , the magnetic quantum number m l ​ can be − 2 , − 1 , 0 , 1 , 2 , and the given information matches that. Also, the shape corresponds to 3 d x 2 − y 2 -orbital. Correct options: A, B, C, D

Chemistry - Atomic Structure Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion