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Hard, Stiff Ceramics
Bulk modulus 100–300 GPa, Shear modulus 60–200 GPa
Bulk modulus, Shear modulus
Hard Coating Materials
Bulk modulus ≥ 200 GPa, Formation energy ≤ -1.0 eV/atom, Band gap ≥ 3.0 eV
Bulk modulus, Formation energy, Band gap
Structural Materials for Aerospace
Density ≤ 5.0 g/cm³, Bulk modulus ≥ 100 GPa, Shear modulus ≥ 40 GPa, Energy above hull ≤ 5.0 eV/atom
Density, Bulk modulus, Shear modulus, Energy above hull
High-k Dielectrics
Dielectric constant 10–90, Band gap 2.5–6.5 eV
Dielectric constant, Band gap
SAW/BAW Acoustic Substrates
Shear modulus 25–150 GPa, Dielectric constant 3.7–95
Shear modulus, Dielectric constant
Solid-State Electrolytes
Formation energy ≤ -1.0 eV/atom, Energy above hull ≤ 5.0 eV/atom, Band gap ≥ 2.0 eV, Must contain Li/Na/K/Mg/Ca/Al
Formation energy, Energy above hull, Band gap
Stable Wide-Bandgap Semiconductors
Band gap ≥ 2.5 eV, Formation energy ≤ -1.0 eV/atom, Energy above hull ≤ 5.0 eV/atom
Band gap, Formation energy, Energy above hull
Photovoltaic Absorbers
Band gap 0.7–2.0 eV, Formation energy ≤ 0.0 eV/atom, Earth-abundant and non-toxic elements only
Band gap, Formation energy
Piezo Energy Harvesters
piezo_max_dij ≥ 8 pC/N and 10 ≤ piezo_max_dielectric ≤ 8000; if ranking, use FoM d²/κ (higher is better)
d proxy (piezo_max_dij), Dielectric constant κ (piezo_max_dielectric)
Acousto-optic Hybrids
3 ≤ piezo_max_dij ≤ 9 pC/N and 8 ≤ piezo_max_dielectric ≤ 85; tight κ band to reduce dielectric loading; rank by proximity to target d-band and mid-range κ
d proxy (piezo_max_dij), Dielectric constant κ (piezo_max_dielectric)
Electrically Insulating Dielectrics
Band gap ≥ 2.5 eV, Dielectric constant ≥ 8.0
Band gap, Dielectric constant, Energy above hull
Transparent Conductors
band_gap > 3.0 eV and 50 ≤ conductivity ≤ 5000 S/cm; must be thermodynamically stable; if ranking, use FoM σ·T² balancing transparency vs conductivity
Optical band gap (band_gap), Electrical conductivity (conductivity)
Low-Density Structural (Aerospace)
density ≤ 3.5 g/cm³ and 65 GPa ≤ shear_modulus ≤ 195 GPa; maximize G/ρ for stiffness-to-weight; discard unstable or high-creep phases
Density (density), Shear modulus (shear_modulus)
Toxic_Free_Perovskite_Oxide
2.0 eV ≤ Band gap and 90 GPa ≤ Bulk modulus ≤ 135 GPa; exclude Pb, Cd, Hg, Tl, Be, As, Sb, Se, U, Th; prefer thermodynamically stable ABO₃ oxides
Band gap (band_gap), Bulk modulus (bulk_modulus)

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