Ch 2 - Chemical Structure of Biomaterials Flashcards
Crystalline
- Periodic pattern of atoms (Long-Range Order)
* i.e. metals, ceramics, polymers
Amorphous
- Lacking systemic atomic arrangement (like liquid)
* i.e. ceramics, polymers
Structure of metals
- Non-directional metallic bonding
* Crystal structures (where atoms are located e.g. BCC/FCC, HCP)
Unit cell
Config. of atoms that is repeated in all 3 dimensions to form final material
Coordination number (CN)
nearest neighbor atoms
Atomic Packing Factor (APF)
APF (per unit cell) = V_atoms/V_total
• BCC = 0.68
• FCC/HCP = 0.74
Face-centered cubic (FCC)
- a = 2r*√(2)
- APF = 0.74
- CN = 12
Body-centered cubic (BCC)
- a= 4r/√(3)
- APF = 0.68
- CN = 8
- e.g. Ti β-phase = improved \ductility
Hexagonal-close packed (HCP)
- APF = 0.68
* e.g. Titanium α-phase
Ductility
Plastic deformation before fracture
Lattice structures
- Cartesian representation
- Defines unit cell by \lattice parameters e.g. lengths of edges (a,b,c) and angles b/w axes (α, β, γ)
- \lattice points = vertices of unit cell
Crystal system
Unique combinations of lattice parameters (a,b,c) and (α, β, γ) • BCC 1 . Cubic (3 same lengths) 2. Tetragonal (2 same length) 3. Orthorhombic (all diff lengths) 4. Rhombohedral (//) • HCP 1 . Hexagonal (2 same length) 2. Monoclinic (~rhombohedral) 3. Triclinic (no edges/angles equal)
Miller indices
Coordinate system to indicate location of points and orientation of planes (i.e. cubic crystals)
1 . Determine plane intersection of x, y, and z axes (if // to axis, "intercept" is ∞) 2. Reciprocal of intercepts 3. Clear fractions (LCD) 4. Record as "(h k l)" 5. Indicate any negative #s w/ bar over integer
Defects
- \point defects i.e. vacancies & self-interstitials
* \impurities i.e. solid solutions (alloys) & liquid solutions
Point defects
- Gen’lly occur b/c of thermodynamics of crystal growth
- Creation of defects is favorable b/c it ↑ entropy of system (thermodynamically favorable)
- e.g. \vacancies & \self-interstitials
Vacancy
Missing atom (expected at lattice site)
Self-interstitial
- Atom is crowded into interstitial space b/w 2 adjacent atoms
- Occupying what should be “empty” space
Why form crystalline structures?
Balancing thermodynamic need to form bonds (crystal) and creation of defects (↑ entropy, also ↑ \strain)
Lattice strain
- Strains in local lattice struc., caused by both vacancies and interstitials
- esp. interstit. defects in metals b/c of large atoms v. small space
Solid solution
[metals/ceramics]
• Normal crystal structure is maintained + addition of impurity atoms
• e.g. metal alloys (impurity atom improves prop’s of host material)
Weight % composition
Weight_elem/W_total
Atom % composition
Moles_elem/Moles_total
Liquid solution
[metals/ceramics]
• \solute (impurity) mixes in \solvent (host)
• e.g. \interstitial OR \substitutional solutions
* Ceramics: must not affect electroneutrality (solute ion must be similar in size/charge to solvent ion AND simultaneous diffusion for BOTH species)
Interstitial solution
[metals/ceramics]
• Impurities fill spaces BETWEEN solvent atoms
• Gen’lly when solute smaller than solvent (↓ lattice strain)
Substitutional solution
[metals/ceramics]
• Impurity/solute atoms REPLACE solvent atoms
• Gen’lly favored if \Hume-Rothery rules are satisfied
* Typ. for solute anions b/c too large for interstitial space
Hume-Rothery rules
- Diff. in size of atomic radii < 15% (min. lattice strain)
- EN are similar (same/bond lengths/strengths)
- Valence charges are similar (same bond lengths/strengths)
- Crystal structures are identical (only if large ~50% solute) → otherwise forms 2 interpenetrating crystals (complex)
Structure of ceramics
• Crystal structure (composed of ions, rather than atoms)
* Must be electrically neutral
• Optimal stability when cations have max # anions (and vice versa)
AX crystals
- Cation (A) and anion (X) have EQUAL charge
* Must have equal # of both to be stable ceramic
[A]_m*[X]_p crystals
• Cation (A) and anion (X) have DIFFERENT charges
* # m, p must balance charges to maintain electroneutrality
[A]_m[B]_n[X]p crystals
- 2 cations (A,B) and 1 anion (X)
* e.g. ZSCAP and FECAP ceramics
Carbon-based materials e.g. graphite
- Sometimes classified as ceramic (loose defin.)
- Crystalline structure, but no standard unit cell
- Ability to adsorb gases e.g. CV devices