The atom AuCl4 is in the point group D4h use the x,y, and z cartesian coordinate vectors at each atom as a basis set to form a total representation
(inorganic Chemistry)
AuCl4 is square planar with dsp2 hybridisation.
The total representation of D4h point group is given in the table.

The symbol (x,y) means that translation along the x- and y-axes are inseparable in a molecule with D4h symmetry and similarly operations on the the px and py orbitals. The same explanation holds good for the rotation about x- and y-axes, and the operations on the dxz and dyz orbitals for the given cartesian coordinates.

The atom AuCl4 is in the point group D4h use the x,y, and z cartesian coordinate...
(i) In theory [NiCl4] 2- can adopt a square planar (D4h) or a tetrahedral (Td) geometry. (a) For the square planar geometry and using a Cartesian basis set, determine the reducible representation Γ3N (call it Γ3N-D4h). Note: The C2' are parallel to the v and the C2" are parallel to the d. [2 marks] (b) Give the reduction formula for reducing reducible representations into irreducible representations of a point group. [1 mark] (c) Show that Γ3N-D4h = A1g + A2g...
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Example2: XeF4 1. Determine point group of the molecule • D4h 2. Generate the reducible representation for translation (x, y, z) El 26 (2zcze i zsa Gn 20, Z6d 3. Write down the number of atoms which do not change their location during each symmetry operation 31153 4. Multiply together the characters that have been generated in steps 2 and 3. The result is the reducible representation for...
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Suppose a point in three-dimensional Cartesian space, (X, Y, Z) , is equally likely to fall anywhere on the surface of the hemisphere defined by X2+y2+2 -1 and Z20. (a) Find the PDF of...
suppose a point in three-dimensional Cartesian space. (X, Y, Z), is equally likely to fall anywhere on the surface of the hemisphere defined by X2 + Y2-22-1 and Z20. (a) Find the PDF of Z, /zz) (b) Find the joint PDF of X and Y, /x. ylx, y).
suppose a point in three-dimensional Cartesian space. (X, Y, Z), is equally likely to fall anywhere on the surface of the hemisphere defined by X2 + Y2-22-1 and Z20. (a) Find the...
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5. Let Q be the solid bounded by the plane 1: x + y + z 1 and the coordinate planes. If the density at...
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Use double integrals to calculate the volume of the tetrahedron bounded by the coordinate planes (x= 0, y = 0,...
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