Glossary

Term Definition
Allotropy Polymorphism in elemental solids
Amorphous Lacking any distinct structure
Atomic Packing Factor (APF) fraction of solid sphere volume in unit cell (APF =volume of atoms in a unit cell/total unit cell volume)
Axis Spacial direction
Body-Centered Cubic (BCC) Bravais Lattice involving 8 corner atoms and one center atom
Bragg equation Equation used to determine plane positions using x-ray diffraction (d=?(?/sin ?))
Close Packed Plane Direction of closest atoms, often the slip plane
Constructive Interference sum of multiple waves results in total greater than original waves
Coordination Number number of nearest neighbors
Crystallography The study of crystals
Cubic One atom at each corner (lattice point)
Degree of crystallinity Percentage of material in crystal form (not amorphous)
Destructive Interference sum of multiple waves results in total less than original waves
Face-Centered Cubic (FCC) Bravais Lattice of an atom at every corner and in the center of every face (physically 2 cubic lattices offset by half a lattice in all three directions
Interference result of multiple waves. May be constructive or destructive
Lattice three-dimensional array of atoms
Long-range order Continuous periodicity
Mirror Plane Reflects the face of a crystal from one side to the other
Nearest Neighbor atoms or ions closest to the atom or ion of discussion
Orthogonal perpendicular, at right angles, or 90? to each other
Period distance between atoms in a lattice
Periodicity Repetition of lattice
Plane two-dimensional flat surface or direction
Polymorphism having more than one possible crystal structure
Unit Cell formation of atoms that repeats itelf within a crystal, hases the most geometrical symmetry
X-ray Form of energy (Energy = )
X-ray diffraction Method used to determine crystal structures by aiming x-rays at the material and determining at what angles they are detected at
Rotational axis Imaginary axis that crystal can be rotated around and continue to look like the same crystal (atomically)
x-ray A relatively high-energy photon having a wavelength in the approximate range from 0.01 to 10 nanometers.
x-ray diffraction The scattering of x-rays by crystal atoms, producing a diffraction pattern that yields information about the structure of the crystal.
Interference The variation of wave amplitude that occurs when waves of the same or different frequency come together.
Diffraction Change in the directions and intensities of a group of waves after passing by an obstacle or through an aperture whose size is approximately the same as the wavelength of the waves.
Fourier series An infinite series whose terms are constants multiplied by sine and cosine functions and that can, if uniformly convergent, approximate a wide variety of functions.
Bragg equation Relates the angles at which X-rays are scattered from a crystal to the spacing between the layers of molecules.