1.) Below is shown two possible geometry configurations, trigonal prism (A) and trigonal anti-prism (B), for the generic complex M(CN)6 (where M is a metal ion). Answer the following questions. a.) What point group does A belong to? b.) What point group does B belong to? c.) Determine the reducible representation for the CN stretching vibrations for A. d.) Determine the reducible representation for the CN stretching vibrations for B. e.) Determine the irreducible representations for the CN stretching vibrations for A. f.) Determine the irreducible representations for the CN stretching vibrations for B. g.) Identify which stretching vibrations for A and B you would expect to be IR and Raman active. h.) Based on your analysis, can you identify the presence of A versus B by IR spectroscopy and why