2. (20 pts) A group from Yeshiva University reported the synthesis and structural characterization of some new cyanide carbonyl compounds of Co(I) (This is of interest because Co(I) carbonyl compounds are catalysts for industrially important hydroformylation reactions and were among the first homogeneous catalysts discovered.) One of the products obtained has the empirical formula (Co(CN)3(CO)212- and single crystal X-ray diffraction indicated that the Co center adopts a trigonal bipyramidal coordination geometry. IR spectroscopy was used to help assign the structure and symmetry of the molecule. The IR spectrum of [Co(CN)3(CO)2]2-showed two CO stretches at 1917 and 1980 cm' and three CN stretches at 2074, 2088, and 2114 cm-1 a) (6 pts) Draw the three possible isomers for the trigonal bipyramidal complex [Co(CN):(CO)2]2- and determine their point group symmetry. b) (6 pts) For all three isomers, determine how the CO and CN bond vectors transform under the symmetry operations of their respective point groups to generate the reducible representations. You will need to transform the CO and CN bond vectors independently to generate two reducible representation (I co and Icn). c) (4 pts) Reduce the Ico and Icn reducible representations into their component irreducible representations. (i.e. figure out how many times each irreducible representation appears in the reducible representation). d) (2 pts) Using this information, and the character tables, how many IR-active CO and CN stretches should each structural isomer have? e) (2 pts) From this information, can you determine which isomer the Yeshiva group synthesized? 2. (20 pts) A group from Yeshiva University reported the synthesis and structural characterization of some new cyanide carbonyl compounds of Co(I) (This is of interest because Co(I) carbonyl compounds are catalysts for industrially important hydroformylation reactions and were among the first homogeneous catalysts discovered.) One of the products obtained has the empirical formula (Co(CN)3(CO)212- and single crystal X-ray diffraction indicated that the Co center adopts a trigonal bipyramidal coordination geometry. IR spectroscopy was used to help assign the structure and symmetry of the molecule. The IR spectrum of [Co(CN)3(CO)2]2-showed two CO stretches at 1917 and 1980 cm' and three CN stretches at 2074, 2088, and 2114 cm-1 a) (6 pts) Draw the three possible isomers for the trigonal bipyramidal complex [Co(CN):(CO)2]2- and determine their point group symmetry. b) (6 pts) For all three isomers, determine how the CO and CN bond vectors transform under the symmetry operations of their respective point groups to generate the reducible representations. You will need to transform the CO and CN bond vectors independently to generate two reducible representation (I co and Icn). c) (4 pts) Reduce the Ico and Icn reducible representations into their component irreducible representations. (i.e. figure out how many times each irreducible representation appears in the reducible representation). d) (2 pts) Using this information, and the character tables, how many IR-active CO and CN stretches should each structural isomer have? e) (2 pts) From this information, can you determine which isomer the Yeshiva group synthesized