Give the names of seven f-orbitals and how they are represented.

1.	Give the names of seven f-orbitals and how they are represented.
Answer» Solution :A COMPLETE set of seven `F`-orbitals is shown in the table and the figure given here. (i) (iii) `y(3y^(2)-x^(2))` Same as `x(x^(2)-3y^(2))` except lies along the `y` axis. (iv) `{:(z(x^(2)-y^(2)),,),(xyz,,):}}` Same as the corresponding orbitals in the cubic set. As with `d`-orbitals, there is no unique way of representing them, nor is there even a way which is optimum for all problems. The figure presents two sets, 'General set' and a 'cubic set'. The latter is advantageous in considering the PROPERTIES of the orbitals in cubic (i.e., OCTAHEDRAL andtetrahedral fields). (vii) `{:(z(x^(2)-y^(2)),,),(y(z^(2)-x^(2)),,),(x(z^(2)-y^(2)),,):}} {:("Same as the xyz but rotated" 45^(@)),("about the x, y and z axe"):}`

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