Question

(iii) The angular part of p-orbitals depends on zenith angle theta and​

Answer 1

Answer:

The angular wave function Y1,0(θ,ϕ)=cosθ only depends on θ. Below, the angular wavefunction shown with a node at θ=π/2. In addition, the 3p radial wavefunction creates a spherical node (the circular node in the cross-section diagram) at r = 6 a0. For ml=0, the axis of symmetry is along the z axis.

Explanation:

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Answer 2

Explanation:

solutions to the hydrogen atom Schrödinger equation discussed previously are functions that are products of a spherical harmonic function and a radial function.

ψn,l,mℓ(r,θ,φ)=Rn,ℓ(r)radialYmℓl(θ,φ)angular(6.4.1)

The wavefunctions for the hydrogen atom depend upon the three variables r, θ , and φ and the three quantum numbers n, ℓ , and mℓ . The variables give the position of the electron relative to the proton in spherical coordinates. The absolute square of the wavefunction, |ψ(r,θ,φ)|2 , evaluated at r , θ , and φ gives the probability density of finding the electron inside a differential volume dτ , centered at the position specified by r , θ , and φ .