Analytical Methods for Materials Analytical Methods for Materials Lesson 11 Crystallography and Crystal Structures, Part 3 Suggested Reading • Chapter 6 in Waseda • Chapter…
Slide 1Equivalent Positions in 3-D Figure (a) shows equivalent points generated by a 4- fold rotation axis. – Start at x,y,z; a counterclockwise rotation of 90 o generates…
1. POINT GROUPS Molecular Symmetry Symmetry element Point GroupsLET’S GO 2. Molecular SymmetryAll molecules can be described in terms of their symmetrySymmetry operation…
Slide 1 Slide 2 Symmetry Elements II Slide 3 3-D Symmetry We now have 8 unique 3D symmetry operations: 1 2 3 4 6 m 3 4 1 2 3 4 6 m 3 4 Combinations of these elements are…
Slide 1 CRYSTALLOGRAPHY TRIVIA FINAL ROUND! Slide 2 Round 3 – Question 1 Twins are said to add another level of symmetry to a crystal. Why is this? Slide 3 Round 3 –…
6. Carbon nanostructures: fullerenes and carbon nanotubes * C is unique in its versatility Diamond (sp3 Carbon): -hardest material -perfect insulator or semiconductor when…