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grain boundary
the enhanced atomic flow along the relatively open structure of the grain-boundary region.
surface diffusion
the enhanced atomic flow along the relatively open structure of a material’s surface.
activation energy
the energy barrier that must be overcome by atoms in a given process or reaction.
Arrhenius equation
An equation that is a general expression for a thermally activated process, such as diffusion.
Maxwell-Boltzmann distribution
a description of the relative distribution of molecular energies in a gas.
thermal activation
an atomic-scale process in which an energy barrier is overcome by thermal energy.
rate-limiting step
slowest step of a process that involves several sequential steps.
thermal vibration
direct result from point defects of atoms in the crystal structure.
as temperatures increase, the vibration _______.
increases
diffusion
the movement of molecules from an area of higher concentration to an area of lower concentration.
vacancy migitation
movement of vacancies in the course of atomic diffusion without significant crystal-structure distortion.
Random-walk
the atomic migration in which the direction of each step is random.
Fick’s First Law
the diffusive flux to the concentration under the assumption of steady state.
D
diffusion coefficient (diffusivity)
Jx
flux
Fick’s Second Law
predicts how diffusion causes the concentration to change with respect to time.
Gaussian error function (erf)
a mathematical function based on the integration of the “bell” shaped curve.
Steady-state
diffusion that doesn’t change with time.
Case Hardening
the surface that is hardened by the diffusion of atoms.
solid solution
the atomic-scale intermixing of more than one atomic species in the solid state.
solute
the species dissolving in a solvent to form a solution.
solvent
the species into which a solute is dissolved in order to form a solution.
substitutional solid
an atomic-scale combination of more than one kind of atom, with a solute atom substituting for a solvent atom at an atomic lattice site.
hume-rothery
the four criteria for complete miscibility in metallic solid solutions.
disordered solutioon
a solid solution in which the solute atoms are arranged in an irregular fashion.
ordered solution
a solid solution in which the solute atoms are arranged in a regular pattern.
nonstoichiometric solution
an scale combination of more than one kind of atom
interstitial solid
compound in a chemical compound in which variations in ionic charge lead to variations in the ratio of chemical elements
point defects
imperfections associated with the crystalline point lattice
vacnacy
unoccupied atom site
interstitial atom
an atom occupying an interstitial site not normally occupied in the perfect crystal structure.
schottky defect
pair of oppositely chraged ion vacancies.
frankel defect
a vacancy-interstitalcy combination
linear defects
one dimensional and associated with mechanical deformation.
dislocations
linear defects in a crystalline solid.
burgers vector
the displacement vector necessary to close a stepwise loop around the defect.
edge dislocation
linear defect which runs along the edge
screw dislocation
linear defect that is parallel to the dislocation line.
interfacial
two dimensional disorder in a crystalline structure.
twin boundary
separates two crystalline regions that are structurally mirror images of each other.
Hurth-Pound model
an atomistic model of the ledge-like strucutre
grai boudnary
the region between two adjacent single crystals or grains.
tilt boundary
the grain boundary associated with the tilting of a common crystallographic direction in two adjacent grains.
grain-size number
the average grain size in a microstrucutre and defined by N=2G-1.
amorphous solids
noncrystalline and lack long-range crystalline structure.
zachaiasen model
random network theory of glass structure
bernal model
atomic structure of an amorphous metal as a connected set of polyhedral.
dc/dx
concentration gradient