8 (a) Identify the point group and symmetry elements present in the 1,1 dichloroethene molecule [see Appendix 1 and 2 for a list of point groups]. (5 marks) (b) Determine the reducible representation of 1,1-dichloroethene by the following steps; (i) First write down the number of un-shifted atoms under each operator in the point group (3 marks) (c) Calculate the contribution of each operator using the general equations; E=3, i=3,=1,Sn=1+2cos(360),Cn=1+2cos(360) (4 marks (i) Determine the reducible representation, , for 1,1-dichloroethene (6 marks) (d) .. Reduce this representation and determine how many bands are IR active