# What is symmetry of p- and d-orbitals in ${D_{3h}}$?

To identify IR and Raman active, symmetry of p- and d-orbitals are used.

If we start since making $${D_{3h}}$$ character table, how to match between symmetry of p- and d-orbitals and Mulliken symbol? because when I tried to find out, symmetry after doing symmetry operation isn't similar with any symmetry (Mulliken symbols).

For example, considering $${AsCl_5}$$

compared with $${D_{3h}}$$ character table

• The p orbitals can be considered to be unit vectors along their respective axes. Thus they transform as displacements in $x,\; y$ and $z$, hence transform as $E'$ for $x$ and $y$ and $A_2''$ for $z$. – porphyrin Dec 10 '18 at 8:36