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Electron Configurations
Describe the arrangement of electrons in an atom's energy levels and subshells.
Crystalline Solids
Solids that exhibit long-range periodic order over large atomic distances.
Amorphous Solids
Solids that lack long-range order.
Coordination Number
The count of nearest-neighbor atoms touching a central atom.
Atomic Packing Factor (APF)
The volume of atoms in a unit cell divided by the total unit cell volume.
Simple Cubic (SC)
A type of metallic unit cell with the lowest APF of 0.52 and a coordination number of 6.
Body-Centered Cubic (BCC)
A type of metallic unit cell with an APF of 0.68 and coordination number of 8.
Face-Centered Cubic (FCC)
A unit cell with the highest APF of 0.74 and coordination number of 12.
Hexagonal Close-Packed (HCP)
Another unit cell type with an APF of 0.74 and coordination number of 12.
Stacking Sequence for FCC
The close-packed pattern follows an ABCABC… arrangement.
Stacking Sequence for HCP
The close-packed pattern follows an ABAB… arrangement.
Percent Ionic Character Equation
Quantifies the degree of ionic character in a chemical bond based on electronegativity difference.
Interatomic Potential Energy Curve
Graph showing potential energy versus atomic radius distance, revealing material bonding and properties.
Crystallographic Directions
Specified using Miller indices, denoted as [hkl].
Crystallographic Planes
Specified using Miller indices, denoted as (hkl).
Linear Density (LD)
Defined as the number of atoms along a direction vector divided by the length of that vector.
Planar Density (PD)
Defined as the number of atoms on a crystallographic plane divided by the area of that plane.
Point Defects
Zero-dimensional structural defects in crystalline materials, including vacancies and self-interstitials.
Vacancy Equilibrium Concentration
Depends on absolute temperature and follows the Arrhenius relationship.
Linear Defects
One-dimensional dislocations that facilitate plastic deformation.
Hume-Rothery Rules
Governs solid solubility of solute atoms in a solvent matrix based on four criteria.
Fick's First Law
Describes mass transfer under steady-state conditions, expressed as J = -D (dC/dx).
Fick's Second Law
Describes non-steady-state diffusion, expressed as ∂C/∂t = D ∂²C/∂x².
Arrhenius Equation for Diffusion Coefficient (D)
Describes how D increases exponentially with temperature, expressed as D = D₀ e^(-Q_d/(RT)).