The algebraic forms of the f orbitals are a radial function multiplied by one of the
Chapter 12, Problem 12.13(choose chapter or problem)
The algebraic forms of the f orbitals are a radial function multiplied by one of the factors (a) z(5z2 3r2), (b) y(5y2 3r2), (c) x(5x2 3r2), (d) z(x2 y2), (e) y(x2 z2), (f ) x(z2 y2), (g) xyz. Identify the irreducible representations spanned by these orbitals in (a) C2v, (b) C3v, (c) Td, (d) Oh. Consider a lanthanide ion at the centre of (a) a tetrahedral complex, (b) an octahedral complex. What sets of orbitals do the seven f orbitals split into?
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