Crystal systems
Bravais demonstrated mathematically that in 3-dimensions, there are only 14 different types of arrangements possible. These 14 Bravais lattices are classified into the seven crystal systems on the basis of relative lengths of basis vectors and interfacial angles.
Seven crystal systems are:
1. Cubic
2. Tetragonal
3. Orthorhombic
4. Monoclinic
5. Triclinic
6. Triogonal (Rhombohedral)
7. Hexagonal
14 Bravais lattices are
1. Simple cubic 2. Body centered cubic 3. Face centered cubic
4. Simple tetragonal 5. Body centered tetragonal
6. Simple orthorhombic 7. Base centered orthorhombic
8. Body centered orthorhombic 9. Face centered orthorhombic
10. Simple monoclinic 11. Base centered monoclinic
12. Triclinic
13. Triogonal( Rhombohedral)
14. Hexagonal
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