Point Groups in Molecules
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Questions and Answers

Which statements about the C3V point group are correct?

  • Number of irreducible representations is 2 (A<sub>1</sub>, E).
  • Order of the group is 6 and class of the group is 4.
  • Order of the group is 5.
  • Class of the group is 3 (E, 2C<sub>3</sub> and 3σ<sub>V</sub>). (correct)

What is the point group of ammonia molecule at transition state?

  • C<sub>3d</sub>
  • D<sub>3h</sub>
  • C<sub>3V</sub> (correct)
  • C<sub>2h</sub>

Which elements are part of the Dnd point group?

  • E, C<sub>n</sub>, C<sub>2</sub><sub>⊥</sub>C<sub>n</sub>, and ησ<sub>d</sub>. (correct)
  • E, C<sub>n</sub>, S<sub>2n</sub>, and i.
  • E, C<sub>n</sub>, nC<sub>2</sub>⊥C<sub>n</sub>, ησ<sub>d'</sub>, and S<sub>2n</sub>'
  • E, C<sub>n</sub>, nC<sub>2</sub>, ησ<sub>d</sub>, and S<sub>2n</sub>.

What point group does [BH2]- belong to?

<p>O<sub>h</sub> (C)</p> Signup and view all the answers

What is the point group for trans, 1, 2 difluoroethylene molecule?

<p>D<sub>2h</sub> (C)</p> Signup and view all the answers

How many distinct symmetry operations can be performed on the trans, 1, 2 difluoroethylene molecule?

<p>4 (C)</p> Signup and view all the answers

If the two H atoms of trans, 1, 2 difluoroethylene are replaced by F atoms, what will be the point group of the resultant molecule?

<p>D<sub>2h</sub> (C)</p> Signup and view all the answers

Which of the following statements about the C2V point group is true?

<p>The total number of symmetry operations (order, h) is 4. (A)</p> Signup and view all the answers

Study Notes

Point Groups

  • C3v Point Group
    • Order of the group: 6
    • Classes of the group: 3 (E, 2C3 and 3σv)
    • Number of irreducible representations: 3 (A1, A2, E)
  • Transition State
    • Ammonia molecule transitions through a state where it undergoes inversion in configuration
    • The point group of this transition state is D3h
  • Dnd Point Group
    • contains the following symmetry operations:
      • E
      • Cn
      • nC2⊥Cn
      • ησd
      • S2n
      • i
  • [BH2]-
    • belongs to the C2v point group
  • Trans, 1, 2 difluoroethylene
    • contains the following symmetry elements:
      • A 2-fold rotational axis
      • A symmetry plane perpendicular to the rotational axis
      • An inversion center
    • Point group: D2h
    • The molecule has 8 distinct symmetry operations
    • If both H atoms are replaced by F atoms, the point group of the resultant molecule will be D2h
  • C2v Point Group
    • Total number of symmetry operations: 4
    • Each symmetry operation is in a class
    • The number of classes is equal to the number of irreducible representations
    • The order of the group can be calculated using the following formula:
      • h = Σ [χi(E)]2 = 12 + 12 + 12 + 12 = 4

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Description

Explore the fascinating world of molecular symmetry with this quiz on point groups. Test your understanding of various point groups such as C3v, D3h, and C2v, and their associated symmetry operations. Ideal for students studying molecular geometry or symmetry in chemistry.

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