Point Groups in Molecules

Which statements about the C_3V point group are correct?

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

Which elements are part of the D_nd point group?

What point group does [BH₂]^- belong to?

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

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

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?

Which of the following statements about the C_2V point group is true?

Point Groups

C_3v Point Group
- Order of the group: 6
- Classes of the group: 3 (E, 2C₃ and 3σ_v)
- 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 D_3h
D_nd Point Group
- contains the following symmetry operations:
  - E
  - C_n
  - nC₂⊥C_n
  - ησ_d
  - S_2n
  - i
[BH₂]^-
- belongs to the C_2v 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: D_2h
- 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 D_2h
C_2v 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 [χ_i(E)]² = 1² + 1² + 1² + 1² = 4

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.