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Chemistry LibreTexts

Solutions 7

  • Page ID
    52468
  • Q1:

     

    Below are molecules of similar symmetry and the required symmetry elements.

     

    a).

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    b).

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    c).

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    d).

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    Q2:

    Symmetry elements

    s orbital: inversion center, infinite planes of reflection, infinite axes of proper and improper rotations

    p orbital: inversion center, 1 vertical plane of reflection, infinite horizontal planes of reflection, infinite  \(C_2\) and \(S_2)\ axes,  1 \(C_\infty\) and \(S_\infty\)  axis of rotation, inversion center

    \(d_{z^2}\) : same as p orbital

    \(d_{xy}\): 4 \(C_2\) and \(S_2)\ axes, 1 \(C_4\) and \(S_4)\, 4 vertical planes of reflection, 1 horizontal plane of reflection, inversion center

     

    Q3:

     

    a). center of inversion

    b). center of inversion

    c). neither

    d). \(S_4\) axis

     

    Q4:

     

    a). \(C_1\)

    b).  \(T_d\)

    c). \(C_\infty\)

    d). \(C_1\)

    e). \(C_{2v}\)

    f). \(C_2\)

     

    Q5:

     

    a). An inversion center will prevent a molecule from being polar. Molecules (a), (c), (e), and (f) are all polar.

    b). Planes of reflection exclude chirality. Molecule (d) is chiral.