c1 c4 Flashcards
(24 cards)
What is the Tetrahedron Model formula?
Performance = f(Properties, Structure, Processing
What is the Structure–Property Relationship?
Properties ∝ Structure
What is the Structure–Processing Relationship?
Structure = f(Processing)
What is the Performance Equation?
Performance ∝ f(Properties, Environment, Processing Conditions)
What is the equation for Electrical Resistivity?
ρ = R × (A / L)
ρ = resistivity, R = resistance, A = cross-sectional area, L = length
How is the mass of an atom approximated?
Mass = A × 1.66 × 10⁻²⁴ g
What is the formula for Maximum Electrons in Subshell?
Max electrons = 2(2ℓ + 1)
What is the relationship for Bohr Model Energy Levels?
E ∝ 1/n²
What are the Theoretical Electronic Configuration Principles?
Aufbau Principle, Hund’s Rule, Pauli Exclusion Principle
What are examples of Bonding Types?
Ionic, Covalent, Metallic Bonds, Van der Waals, Hydrogen Bonds
What is the formula for Atomic Packing Factor (APF)?
APF = (Volume of atoms in unit cell) / (Volume of unit cell)
What are the characteristics of Simple Cubic (SC)?
Atoms/unit cell = 1, APF = 0.52, Radius relation: r = a/2
What are the characteristics of Body Centered Cubic (BCC)?
Atoms/unit cell = 2, APF ≈ 0.68, Radius relation: a = (4r)/√3
What are the characteristics of Face Centered Cubic (FCC)?
Atoms/unit cell = 4, APF ≈ 0.74, Radius relation: a = (4r)/√2
What is the formula for Theoretical Density of Metals?
ρ = (n × A) / (Vc × NA)
n = number of atoms/unit cell, A = atomic weight (g/mol), Vc = volume of unit cell (m³), NA = Avogadro’s number = 6.022 × 10²³
What is the formula for Linear Density (LD)?
LD = (Number of atoms along direction) / (Length of direction vector)
What is the formula for Planar Density (PD)?
PD = (Number of atoms centered on a plane) / (Area of plane)
What are the Miller Indices Rules?
(h k l) = Reciprocal of fractional intercepts with x, y, z axes
What is the Vacancy Concentration equation (Boltzmann Equation)?
Nv / N = exp(-Qv / kT)
Nv = number of vacancies, N = total number of atomic sites, Qv = energy of vacancy formation (eV/atom), k = Boltzmann constant = 8.62 × 10⁻⁵ eV/K, T = temperature in Kelvin
What is the alternate form of Vacancy Concentration using gas constant (R)?
Nv / N = exp(-Qv / RT)
R = 8.314 J/mol·K
What is the formula for Composition by Weight Percent (wt%)?
C1 = (m1 / (m1 + m2)) × 100
What is the formula for Composition by Atomic Percent (at%)?
C1’ = (n1 / (n1 + n2)) × 100
What is the Burger Vector concept?
Vector b represents magnitude and direction of lattice distortion
What is a Slip System?
Slip system = slip plane + slip direction