Equation for density/Atomic Weight
p = (nA) / (VcNa)
Crystalline
A solid material made up of atoms, ions or molecules set up in a periodic and repeating 3-Dimensional array
Crystal Structure
The unit cell structure that the atoms will be spatially arranged in. (Cubic, Tetragonal, Hexagonal, rhombic, monoclinic, triclinic)
Lattice
The regular geometrical arrangement of points in crystal space.
Unit Cell
The basic structural unit of a crystal structure.
Face Centered Cubic (FCC)
A crystal structure found in Aluminum, Copper, Gold, Lead, Nickel, Platinum, Silver, etc.
Structure: It has an atom in each corner and in the center of each face.
Body Centered Cubic (BCC)
A common crystal structure found in Chromium, Iron (alpha), Molybdenum, Tantalum, Tungsten, etc.
Structure: It has an atom in each corner and in the middle of the cube.
Hexagonal Close Packed (HCP)
A crystal structure found for some metals like Cadmium, Cobalt, Titanium (alpha), Zinc, etc.
Structure: It has an atom in each corner, the center of the top and bottom face and a triangle of atoms in the center of the shape forming an ABAB stacking of close packed planes.
What is a Coordination #? What is it for SC,FCC,BCC,HCP?
The coordination number is the number of nearest neighbor or touching atoms. Metals will always have the same coordination number for instance.
Simple Cubic: 6, BCC: 8, FCC:12, HCP:12
Atomic Packing Factor (APF)
The APF describes how efficiently atoms are packed together within a unit cell.
Metals typically have relatively large atomic packing factors to maximize the shielding provided by the free electron cloud.
APF = Vs / Vc
APF = (Volume of atoms in a unit cell) / (Total unit cell volume)
What is Polymorphism?
Polymorphism is the ability for a material to exist in more than one crystal structure.
What is Allotropy
Allotropy describes the possibility of the existence of two or more different crystal structures for a substance.
EX: Pure iron at room temp = BCC, At 912C it turns FCC
What is a Cubic structures axial/interaxial?
Axial: a = b = c
Interaxial: alpha = beta = gamma=90deg
What is a Hexagonal structures axial/interaxial?
Axial: a = b != c
Interaxial: alpha = beta=90deg = gamma=120deg
What is a Tetragonal structures axial/interaxial?
Axial: a = b != c
Interaxial: alpha = Beta = Gamma=90deg
What is a Rhombohedral (Trigonal) structures axial/interaxial?
Axial: a = b = c
Interaxial: alpha = beta = gamma!=90deg
What is a Orthorhombic structures axial/interaxial?
Axial: a != b != c
Interaxial: alpha = Beta = Gamma=90deg
What is a Monoclinic structures axial/interaxial?
Axial: a != b != c
Interaxial: alpha = gamma=90deg != beta
What is a Triclinic structures axial/interaxial?
Axial: a != b != c
Interaxial: alpha != beta != gamma!=90deg
What are the uvw direction indices?
These indices tell us the location of the location of the vectors head and tail.
u = n(x2-x1)/a
v = n(y2-y1)/b
w = n*(z2-z1)/c
What is a single crystal?
A single crystal is a crystalline solid whose periodic and repeated arrangement of atoms is perfect and extends throughout the entire structure.