Non-crystalographic:D₅- Products

• 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

Representation Products:

⊗	A1	A2	E1	E2
A1	A1	A2	E1	E2
A2	A2	A1	E1	E2
E1	E1	E1	A1+A2+E2	E1+E2
E2	E2	E2	E1+E2	A1+A2+E2

Transition Products:

For the D₅ point group, the irreducible representation of the dipole operator is (A₂+E₁). Transitions that are dipole forbidden are indicated by parentheses.

⊗(A2+E1)⊗	A1	A2	E1	E2
A1	(A2+E1)	A1+E1	A1+A2+E1+E2	(E1+2E2)
A2	A1+E1	(A2+E1)	A1+A2+E1+E2	(E1+2E2)
E1	A1+A2+E1+E2	A1+A2+E1+E2	A1+A2+3E1+2E2	A1+A2+2E1+3E2
E2	(E1+2E2)	(E1+2E2)	A1+A2+2E1+3E2	A1+A2+3E1+2E2

• D₅ character table