Please help me with ALL parts of this inorganic chemistry question! Please be clear and make sure handwritten answers are legible in order for me to understand.
Thank you.
4·The principal rotation axis is collinear with the z axis in a Cartesian coordinate system. Because of this convention, the symbol C is used rather than the more explicit C(). Many molecules contain additional rotation axes that do not fall along the z axis. We will now consider rotations that occur along the x axis. (8 pts) (a) Determine the matrix representation for a C, rotation about the x axis that transforms the arbitrary point (xi,yl, 21) to (xi, /2, 22). Note that the x coordinate is unchanged. This symmetry operation is denoted C(x) Show your work, which should invoke the following: cos(-x) = cos(x) sin(-x)-sin(x) cos(θ-α) = cos θ cos α + sin θ sin α sin(θ-α) sin θ cos α cos θ sin α t C (b) Evaluate your C(x) matrix for the two-fold rotation, C2(x). C2 axes are the most common rotational symmetry elements found 1 to the z axis.
