Point Group Symmetry

• Symmetry Home

• Crystal classes
• Unit cells
• Piezo/Pyroelectric classes

• Operations
• Dipole transitions
• Direct products
• Correlation tables
• Isomorphism
• Periodicity

• Stereographs
• 3D objects
• Molecules (non-java)
• Molecules (interactive)

• Links
• Live 3D
• References

• E-mail me

   

• Jon Goss
• AIMPRO

• Introduction and notes to symmetry operations and dipole transitions.
• Categorisation of point groups crystal class (cubic, tetragonal etc.).
• Categorisation of point groups by unit cell.
• General rules for products of irreducible representations.
• Isomorphism and symmetry operation periodicity.
• Stereographs for non-cubic crystallographic point groups.
• 3D objects for crystallographic point groups.
• Example molecules for some point groups.
• Some correlation tables are available.
• Molecular orbital analysis of a water molecule.
• Some symmetry related links.
• Some references for symmetry in physics and chemistry.

See the symmetry operations for an example high-symmetry molecule:

Porphyrazin: C₁₆N₈H₈(Tm)
D_4h symmetry