(d) The following orbital belongs to the 3d subshell of the Hydrogen atom:rY(r, 0, 0) = A(Z)θ, φ)2re 3ao sin² (0) e²iзаоwhere A and ao are constants. Using the operator for the z-component of orbital angularmomentum (L₂ = -ih d/do) determine the m, for this particular orbital.(e) Consider the wavefunction,rrY(r,0,0) = A-e 2do cos(0)do(i) Identify the radial part of this orbital function and the number of radial nodes.(ii) Identify the angular part of the orbital function and the number of angular nodes.Z(iii) Using this information and the L₂ = -ih d/do operator obtain the n, 1, and, mquantum numbers and identify the orbital.

Answered: Image /qna-images/answer/f107e053-8740-4c77-a8c9-e26db345d1e6.jpg

nonul (d) The following orbital belongs to the 3d subshell of the Hydrogen atom: Y(r,0,0) = A r2 - аo. e 3ao sin² (0) e²i where A and ao are constants. Using the operator for the z-component of orbital angular momentum (L₂ = -ih d/do) determine the m, for this particular orbital. (e) Consider the wavefunction, r r Y(r,0,0) = A e 200 cos(0) ao (i) Identify the radial part of this orbital function and the number of radial nodes. (ii) Identify the angular part of the orbital function and the number of angular nodes. (iii) Using this information and the L₂ = -ih d/do operator obtain the n, l, and, m quantum numbers and identify the orbital.

nonul (d) The following orbital belongs to the 3d subshell of the Hydrogen atom: Y(r,0,0) = A r2 - аo. e 3ao sin² (0) e²i where A and ao are constants. Using the operator for the z-component of orbital angular momentum (L₂ = -ih d/do) determine the m, for this particular orbital. (e) Consider the wavefunction, r r Y(r,0,0) = A e 200 cos(0) ao (i) Identify the radial part of this orbital function and the number of radial nodes. (ii) Identify the angular part of the orbital function and the number of angular nodes. (iii) Using this information and the L₂ = -ih d/do operator obtain the n, l, and, m quantum numbers and identify the orbital.