V) A portion of the character table for D2h is shown below, but is missing the...

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V) A portion of the character table for D2h is shown below, but is missing the identification of the effects of symmetry operations on translation along the x, y, and z-axes in the point group D2h. Complete the character table by determining the irreducible representations that correspond to the translation along the x, y, and z-axes. Ethylene, (C₂H4), is an example of a molecule with the D2h point group. Show all work in the derivation. Dzb E C₂(z) Cz(y) C₂(x) i (mmm) Ag Big B2g B3g Au BIG B2 Взи Z X 1 H H C 1 1 C H H 1 -1 1 1 1 1 o(xy) 1 o(xz) o(vz) 1 -1 -1 1 -1 -1 -1 1 -1 R₂ Ry Rx x,y,z² ху XZ yz V) A portion of the character table for D2h is shown below, but is missing the identification of the effects of symmetry operations on translation along the x, y, and z-axes in the point group D2h. Complete the character table by determining the irreducible representations that correspond to the translation along the x, y, and z-axes. Ethylene, (C₂H4), is an example of a molecule with the D2h point group. Show all work in the derivation. Dzb E C₂(z) Cz(y) C₂(x) i (mmm) Ag Big B2g B3g Au BIG B2 Взи Z X 1 H H C 1 1 C H H 1 -1 1 1 1 1 o(xy) 1 o(xz) o(vz) 1 -1 -1 1 -1 -1 -1 1 -1 R₂ Ry Rx x,y,z² ху XZ yz