Show that e defines the direction of the symmetry axis for h, e defines the direction...

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Show that e defines the direction of the symmetry axis for h₁, e defines the direction of the symmetry axis for h₂, e defines the direction of the symmetry axis for h3. Then show that the probability density for h₁(x, y, z) is enhanced in the direction of e₁, the probability density for h₂(x, y, z) is enhanced in the direction of 2, and that the probability density for h3(x, y, z) is enhanced in the direction of 23. Based on that result make and argument that the direction of ₁ can be considered as the direction of the bond for the hybridized orbital h₁(x, y, z), the direction of 2 can be considered as the direction of the bond for the hybridized orbital h₂(x, y, z), and that the direction of 3 can be considered as the direction of the bond for the hybridized orbital h3(x, y, z),. Based on that result identify the angles between bonds formed in sp² hybridization. Provide an example of a molecule which includes bonds made by sp2 hybridized orbitals in Carbon and discuss the geometry of this molecule based on results obtained in Problem 8. Consider sp² hybridized h₁(x, y, z) h₂(x, y, z) h3(x, y, z) = = = orbitals 1 (s(x, y, z) + √2py(x, y, z)), √3 3 1 1/13 (5(X,Y,Z) + √₂ P.(X, Y, 2) — √ [P. (X.Y,.2)). x(x, y, - √3 1/13 s(x,y,z). Then consider three unit vectors e₁ t t = || || 3 1 - √ ² P. (X,Y,Z) - √ ² PV(X, Y, 2)). z) (0, 1,0), 1 NIT NI (√3,-1,0), (-√3,-1,0), Show that e defines the direction of the symmetry axis for h₁, e defines the direction of the symmetry axis for h₂, e defines the direction of the symmetry axis for h3. Then show that the probability density for h₁(x, y, z) is enhanced in the direction of e₁, the probability density for h₂(x, y, z) is enhanced in the direction of 2, and that the probability density for h3(x, y, z) is enhanced in the direction of 23. Based on that result make and argument that the direction of ₁ can be considered as the direction of the bond for the hybridized orbital h₁(x, y, z), the direction of 2 can be considered as the direction of the bond for the hybridized orbital h₂(x, y, z), and that the direction of 3 can be considered as the direction of the bond for the hybridized orbital h3(x, y, z),. Based on that result identify the angles between bonds formed in sp² hybridization. Provide an example of a molecule which includes bonds made by sp2 hybridized orbitals in Carbon and discuss the geometry of this molecule based on results obtained in Problem 8. Consider sp² hybridized h₁(x, y, z) h₂(x, y, z) h3(x, y, z) = = = orbitals 1 (s(x, y, z) + √2py(x, y, z)), √3 3 1 1/13 (5(X,Y,Z) + √₂ P.(X, Y, 2) — √ [P. (X.Y,.2)). x(x, y, - √3 1/13 s(x,y,z). Then consider three unit vectors e₁ t t = || || 3 1 - √ ² P. (X,Y,Z) - √ ² PV(X, Y, 2)). z) (0, 1,0), 1 NIT NI (√3,-1,0), (-√3,-1,0),

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To show that e e and e define the directions of symmetry axes for h h and h respectively we need to calculate the dot product between each hybridized ... View the full answer