Solution Found!
Answer: For orbitals that are symmetric but not spherical,
Chapter , Problem 99AE(choose chapter or problem)
For orbitals that are symmetric but not spherical, the contour representations (as in Figures 6.23 and 6.24) suggest where nodal planes exist (that is, where the electron density is zero). For example, the \(p_{x}\) orbital has a node wherever \(x=0\). This equation is satisfied by all points on the \(y z \text { plane }\), so this plane is called a nodal plane of the \(p_{x}\) orbital.
(a) Determine the nodal plane of the \(p_{z}\) orbital.
(b) What are the two nodal planes of the \(d_{x y}\) orbital?
(c) What are the two nodal planes of the \(d_{x^{2}-y^{2}}\) orbital?
Equation Transcription:
Text Transcription:
p_x
x=0
yz plane
p_x
pz
d_xy
d_x2-y^2
Questions & Answers
QUESTION:
For orbitals that are symmetric but not spherical, the contour representations (as in Figures 6.23 and 6.24) suggest where nodal planes exist (that is, where the electron density is zero). For example, the \(p_{x}\) orbital has a node wherever \(x=0\). This equation is satisfied by all points on the \(y z \text { plane }\), so this plane is called a nodal plane of the \(p_{x}\) orbital.
(a) Determine the nodal plane of the \(p_{z}\) orbital.
(b) What are the two nodal planes of the \(d_{x y}\) orbital?
(c) What are the two nodal planes of the \(d_{x^{2}-y^{2}}\) orbital?
Equation Transcription:
Text Transcription:
p_x
x=0
yz plane
p_x
pz
d_xy
d_x2-y^2
ANSWER:
Step 1 of 4
Nodal planes are areas near atomic nuclei where locating electrons is impossible. Solving the Schrödinger wave equation for atoms or molecules to determine the form of atomic and molecular orbitals yields the coordinates of these planes.