For both isomers shown above (cis C and trans Dah), determine how the CO bond vectors transform under the symmetry operations of their respective point groups to generate the reducible representations for CO bond stretching. (Please use the coordinate system given to the left.) Reduce the l'co representations into their component irreducible representations to determine the number and symmetry of the CO stretching modes for the cis and trans isomers. "sing the result from part b and the character tables, which of the CO stretching modes for the cis and trans isomers are IR active? R active modes for cis: Based on this information, assign the isomers from Cotton and Darensbourg's study: B: cis or trans A: cis or trans trans: (Optional) Use the projection operator to "map" the function of the IR active CO stretching modes of the compound.

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n 1982, F. A. Cotton and D. J. Darensbourg published a paper in Inorganic Chemistry (v21, pp.
2661-2666) describing the kinetics of isomerization of cis/trans-Mo(CO)4(PR): complexes.
One of the pure isomers (A) gave rise to 4 CO stretching bands. Upon heating, the other isomer
(B) began to form and a single new CO stretching band appeared.
A: 4 CO stretching bands (2019, 1922, 1905, and 1899 cm)
B: I CO stretching band (1895 cm)
y
R₂P PR3
OC-Mo
R active modes for
cis:
CO
OC CO
cis
C₂v
ос
R₂P
Mo
OC
PR₂
trans
Dah
For both isomers shown above (cis C and trans Das), determine how the CO bond vectors
transform under the symmetry operations of their respective point groups to generate the
reducible representations for CO bond stretching. (Please use the coordinate system given to
the left.)
trans:
CO
CO
Reduce the l'co representations into their component irreducible representations to determine
the number and symmetry of the CO stretching modes for the cis and trans isomers.
"sing the result from part b and the character tables, which of the CO stretching modes for the
cis and trans isomers are IR active?
Based on this information, assign the isomers from Cotton and Darensbourg's study:
A: cis or trans
B: cis or trans
Optional) Use the projection operator to "map" the function of the IR active CO stretching
modes of the compound.
Transcribed Image Text:n 1982, F. A. Cotton and D. J. Darensbourg published a paper in Inorganic Chemistry (v21, pp. 2661-2666) describing the kinetics of isomerization of cis/trans-Mo(CO)4(PR): complexes. One of the pure isomers (A) gave rise to 4 CO stretching bands. Upon heating, the other isomer (B) began to form and a single new CO stretching band appeared. A: 4 CO stretching bands (2019, 1922, 1905, and 1899 cm) B: I CO stretching band (1895 cm) y R₂P PR3 OC-Mo R active modes for cis: CO OC CO cis C₂v ос R₂P Mo OC PR₂ trans Dah For both isomers shown above (cis C and trans Das), determine how the CO bond vectors transform under the symmetry operations of their respective point groups to generate the reducible representations for CO bond stretching. (Please use the coordinate system given to the left.) trans: CO CO Reduce the l'co representations into their component irreducible representations to determine the number and symmetry of the CO stretching modes for the cis and trans isomers. "sing the result from part b and the character tables, which of the CO stretching modes for the cis and trans isomers are IR active? Based on this information, assign the isomers from Cotton and Darensbourg's study: A: cis or trans B: cis or trans Optional) Use the projection operator to "map" the function of the IR active CO stretching modes of the compound.
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