Using a minimal basis set of atomic orbitals, deduce the symmetry- adapted atomic orbitals of formaldehyde.

The molecule CIF, belongs to the C4, point group. Use the character table below to answer the following questions. Cav A₁ کے ش E 2C C₂ 20 20d 1 1 1 1 1 Z A₂ 1 1 1 -1 -1 B₁ 1 -1 1 1 -1 B₂ 1 -1 1 -1 1 E 2 0 -2 0 0 (x, y) a) Draw CIF5 using a conventional cartesian coordinate system with the correct symmetry. (The Cl atom is in the center and is bonded to each of the 5 fluorine atoms.) b) Draw pictures showing how the p orbitals (x, y, and z) on Cl will transform under each operation of the group. c) Draw pictures showing how a i) dxy and a ii) dzz orbital on Cl would transform under each operation of the group. What are their Mulliken symbols? d) What are the irreducible representations for the SALCS of the 5 fluorine 2s orbitals? You do not need to draw a diagram or order the orbitals by energy, but for each molecular orbital symmetry, list all atomic orbitals and SALCs with that symmetry. Example: If this question were asking about the composition of the MOs of water (C₂, point group),…

Consider the 3?? 2 orbital of the central atom of a molecule with symmetry C2v. To which symmetry representation does 3?? 2 belong to? Justify graphically your answer. This is the diagram answer but can you please explain the answer with the very basics thank you

What are symmetry elements? What is their significance