l) Projection of the fx(x2-3y2) orbital.Assume the lobes of the orbital are coplanar and the z axis is perpendicular to the page.
![](data:image/png;base64,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)
1. Consider an atom having the fx(x2-3y2) orbital projection presented above. What d and p orbitals of a second atom would have the appropriate symmetry to form bonding and antibonding orbitals with this f orbital? Consider all d and p orbitals and defend your answer, including drawings. Assume the internuclear axis is the z axis and the incoming atom has the same axis system as the atom with the fx(x2-3y2) orbital projection.
2. Consider an atom having the fx(x2-3y2) orbital projection presented above. What d and p orbitals of a second atom would have the appropriate symmetry to form bonding and antibonding orbitals with this f orbital? Consider all d and p orbitals and defend your answer, including drawings. Assume the internuclear axis is the y axis and the incoming atom has the same axis system as the atom with the fx(x2-3y2) orbital projection.