Question

Assign each molecule (or object) to the appropriate symmetry point group:

a. cyclopropane

b. a baseball (consider the seams)

c. a baseball bat, without a label

d. 1,4-dichlorobenzene

e. diborane (B₂H₆)

f. cis-H₂O₂

Answer 1

a) . Cyclopropane : point group = D_3h

It has one C₃ axis , 3 C₂ axis and one S₃ axis

One _h plane and three_v planes

b). Baseball : point Group - D_2h

It has C₂ axis and mirror planes and all 3 axis.

c) a baseball bat (without label): C_2v

d) 1,4-dichlorobenzene : point group - D_2h

it has three C₂ axis and it has three mirror planes(, _{xy,xz ,yz} planes) and one inversion center.

e) . diborane (B₂H₆) point group - D_2h

it has three C₂ axis ,three plane of reflection( _{xy,xz ,yz} planes) and inversion center as symmetry elements.

f) cis-H₂O₂ point group - C_2v

It has one C₂ axis of symmetry and 2 _v plane of reflection