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

Flashcards

What is the class of the C3v point group?

C3v has three classes of symmetry operations: the identity (E), two C3 rotations, and three vertical mirror planes (σv).

Ammonia's point group at transition state?

Ammonia (NH3) at the transition state belongs to the C3v point group.

Dnd point group elements?

The Dnd point group includes the identity (E), a Cn principal rotation axis, n C2 axes perpendicular to Cn, and n dihedral mirror planes (σd).

Point group for trans-1,2-difluoroethylene?

Trans-1,2-difluoroethylene belongs to the D2h point group.

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Symmetry operations of trans-1,2-difluoroethylene?

Four distinct symmetry operations can be performed on trans-1,2-difluoroethylene.

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Point group after H to F substitution?

If the two H atoms of trans-1,2-difluoroethylene are replaced by F atoms, the resultant molecule will still belong to the D2h point group.

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Symmetry operations in C2v?

The C2v point group has a total of 4 symmetry operations (order, h = 4).

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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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