Question: The algebraic forms of the [orbitals are a radial function multiplied by one of the factors (a) z (5z2 - 3r2), (b) y (5y2 -

The algebraic forms of the [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 [orbitals split into?

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