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Chapter 1 Formation of crystal
1.1 Quantum Mechanics and atomic structure
1.2 Interatomic Bonding in Solids
1.3 Crystal Structure
1.3.1 Crystal Structure
1.3.2 Typical Crystal Structures
1.4 Reciprocal Lattice and Brillouin Zone
Crystal Structure Typical Crystal Structures
· Basic concept
Amorphous (Non-crystalline) Solid
All atoms have order only within a few atomic or molecular
dimensions. random arrangement in a bigger size
Crystal
All atoms or molecules in the solid have a regular geometric
arrangement or periodicity. highly ordered
Periodicity
The quality of recurring at regular intervals.
Basis
Repeatable structure units.
Lattice site
The dot representing a basis.
Lattice (Crystal lattice)
Geometric pattern of crystal structure
Crystal Structure = Lattice + Basis
Crystal Structure Typical Crystal Structures
· Basic concept
Barvais Lattice
Barvais Lattice: all points of
the lattice is identical.
For a crystal,
Bravais lattice : the
geometric pattern of
basis’ arrangement.
Lattice point: the dot
representing a basis.
Bravais lattice only summarizes the geometry of crystals, regardless of
what the actual units may be.
The basis consists of the atoms, their spaces and bond angles.
Crystal Structure Typical Crystal Structures
· Basic concept
How to analyze a honeycomb lattice ?
Crystal Structure Typical Crystal Structures
· Basic concept
Bravais lattice
The geometric pattern
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