6. Below is shown part of the character table for an unspecified point group. Without examining any other source of character tables, answer the following questions B1 1 B2 1-1 1 -1 (a) What is the point group of this character table? (b) In this point group, what are the symmetries of the following orbitals for an atom located on the C4 axis? i) the s orbital ii) th pz orbital i) thed22 orbital iv) the dxy orbital (c) Draw a hypothetical molecule that belongs to this point group. Identify a real molecule that belongs to this point group (d) Convert each of the reducible representations shown below into their irreducible representations 2 T2 3 3 2 0 0 Solution (A) C 4 present and C 2 present 2 perpendicular plane and 2 diagonal plane present so the 4 C 2 i perpendicular to principle axis C 4 axis is not possible thetre so it is V and the point group IS C 4V (C) the molicule is BrF 5 .