17. (a) For the point group D2h construct a three-dimensional matrix representation using the set of...
Use Web Mo for (pyrazine (C4H4N2)) Point group is D2h (a) Identify and clearly sketch by hand the symmetry elements of the molecule. (b) Calculate the number of degrees of freedom and number of vibrations for the molecule. (c) Determine how the degrees of freedom of the molecule are distributed amongst the irreducible representations of the point group show clearly all your working. (d) Subtract the translations and rotations and hence determine how the normal vibrations of the molecule are...
1. Using the following reducible representation for all of the molecular motions of IF5. C4v E 2C4 C2 2sigmav 2sigmad T 18 2 -2 4 2 a) Using the character table provided, find the irreducible representations for all the molecular motions in IF5 (reduce the reducible representation). b) What are the irreducible representations of the three translational motions? c) What the irreducible representations of the three rotational motions? d) Identify all the vibrational bands in IF5 that are IR...
Consider NH3 which has C3v point group symmetry Construct a reducible representation of the 1s atomic orbitals of the hydrogen atoms
For BF3 a) Which point group does it belong to? b) How many fundamental vibrations are expected? c) To what irreducible representations do these belong? d) What vibrations are infrared active and which are Raman active? e) How many lines are coincident in the IR and Raman? f) To which symmetry species do the following vibrations belong? i) symmetric stretch ii) asymmetric stretch
numbers 8 and 9 8) Assume the gaseous mercury(II) hydroxide molecular has a planar structure, with a linear O-Hg-O angle, but bent at both ends. Assume the O-Hg-O bonds are on the z-axis. This molecule belongs to the C2h point group. Using the character table for C2h, determine which irreducible representation the following Hg atomic orbitals belong to: a) an s orbital b) a p: orbital c) a px orbital d) a d-y? Orbital 9) Draw the three p orbitals...
Construct MO diagrams for H3+ using the D2h (linear) and D3h (cyclic) point groups. What MO diagram most closely matches the true geometery of H3+?
Cl 2. (15 points) For the SFsCl molecule: What is the point group? What is the total number of degrees of fredom -b gl 216 What is the total number of vibrational modes?3 What is the reducible representation and what are the irreducible representations of the vibrational modes? Identify which modes are Raman active, IR active, both active or neither. Determine the reducible representation. Then, determine the coefficients of the irreducible representations. Cl 2. (15 points) For the SFsCl molecule:...
4. If the general angular momentum quantum number j is 1 there is a triplet of |j, mj) states 1,1, 1,0), and 1,-1) In this case a matrix representation for the operators J, Jj and J, can be constructed if we represent the lj,m,) triplet by three component column vectors as follows 0 0 0 0 0 Jz can then be represented by the matrix: 00 1 (a) Construct matrix representations for the raising and lowering operators, J and J...
8) Assume the gaseous mercury(II) hydroxide molecular has a planar structure, linear O-H Ig-O angle, but bent at both ends. Assume the O-Hg-O bonds are on the z-axis. This molecule belongs to the C2h point group. Using the character table for Cah, determine which irreducible representation the following Hg atomic orbitals belong to a) an s orbital b) a p: orbital c) a px orbital d) a d y orbital 8) Assume the gaseous mercury(II) hydroxide molecular has a planar...
Plot the point given in polar coordinates and find three additional polar representation of the point, using -20 < < 2. (Copy the polar coordinate below to a sheet of paper and then graph the points. Label your points). (3 p.) Representations (Other three) A) (4,5) (3 pts) B) (-3,-5) 90° 4 120 60° 3 150 2 30° 180° Dº 210° 330° 240° 300 270°