Materials Atlas / Decision engine
Turn material evidence
into a testable decision.
Set the requirements. See which source specimens meet them, where the evidence disagrees, and what needs to be measured next.
Start with a question
Four starting points. One explicit method.
Preset thresholds are illustrative screening choices. They are not universal material specifications.
Evidence, evaluated
The whole catalog. Every outcome.
Evaluation covers the complete loaded catalog, not just this page.
Evaluating requirements across the source catalog…
Translate a property into a design consequence
How much resistance does the slab add?
Explore the relationship between thickness, area and conductivity. These illustrative inputs are not assigned to an actual material.
Illustrative input ranges
State what you know.
Compare a fixed geometry change:
Evaluated thickness: [50, 60] um. Conductivity and area are unchanged.
Custom screening and export are included in CogLab membership.
Use your own requirements, investigate uncertain inputs and take the evaluated evidence with you.
Deterministic bounded calculation
Through-slab ionic resistance
- Resistance range
- 2.5–12Ω · propagated input bounds
- Midpoint-input reference
- 4.4Ω · not an expected value
R = thickness ÷ (conductivity × area). The range is not a statistical confidence interval. Interfaces and other transport paths are excluded.
Sensitivity to thickness
Green: propagated bounds. Gold: midpoint-input reference. Horizontal axis: multiplier of the evaluated thickness. Vertical axis: resistance (ohm).
Exact values and local sensitivities
| Thickness | Resistance bounds |
|---|---|
| 0.25× | [0.625, 3] ohm |
| 0.5× | [1.25, 6] ohm |
| 1× | [2.5, 12] ohm |
| 2× | [5, 24] ohm |
| 4× | [10, 48] ohm |
Increasing thickness increases resistance. Local derivative: 80,000 ohm/m; elasticity 1.
Increasing cross-sectional area decreases resistance. Local derivative: -44,000 ohm/m2; elasticity -1.
Increasing conductivity decreases resistance. Local derivative: -35.2 ohm/(S/m); elasticity -1.
Assumptions and calculation limits
- Uniform homogeneous slab with constant cross-sectional area and one-dimensional steady transport along thickness.
- Input ranges are deterministic bounds; extrema are propagated conservatively without a probability distribution or independence claim.
- The reference point uses interval midpoints only to display local derivatives; it is not an expected value or a measured result.
- R = thickness / (ionic conductivity × area). Electrode/contact resistance, electronic leakage, diffusion polarization and nonlinear field effects are excluded.
- Use properties measured or justified for the actual phase, direction, temperature and specimen geometry. This calculator does not validate those inputs.
Engine version 1.0.0. Replace illustrative properties only with values justified for your specimen and conditions.
Check conservation before discussing a route
Does the proposed reaction balance?
Exact element and explicit charge accounting. A balanced equation is a necessary bookkeeping check, not a prediction that a reaction occurs.
Illustrative balance example
Enter the species.
Integer formulas, grouped formulas and hydrates are supported. Write explicit charges as Fe^2+ or Cl^-. Fractional occupancy, phases, mechanisms and implicit charges are not inferred.
Custom screening and export are included in CogLab membership.
Use your own requirements, investigate uncertain inputs and take the evaluated evidence with you.
Exact arithmetic · deterministic check
Conservation verified
Li2CO3 + SiO2 → Li2SiO3 + CO2
Unique positive integer balance, reduced to its smallest common coefficients; element and explicit charge totals independently verified.
| Conserved quantity | Reactants | Products |
|---|---|---|
| C atoms | 1 | 1 |
| Li atoms | 2 | 2 |
| O atoms | 5 | 5 |
| Si atoms | 1 | 1 |
| Net charge | 0 | 0 |
Reaction energy is unresolved
No phase-specific compatible energies have been supplied. The engine has not assigned an energy, yield, temperature or synthesis recommendation.
- Exactly one phase-specific energy is required for reactant 1 (Li2CO3).
- Exactly one phase-specific energy is required for reactant 2 (SiO2).
- Exactly one phase-specific energy is required for product 1 (Li2SiO3).
- Exactly one phase-specific energy is required for product 2 (CO2).
- Energy rows must correspond exactly to the entered species; extra or duplicate rows are not ignored.
To evaluate an energy difference, obtain an identified phase for every species, sourced energies per formula unit, a common method and reference convention, and matching temperature/pressure when relevant. Static DFT energies are not finite-temperature Gibbs free energies.
What this check does not establish
- Element and explicit charge conservation only. A balanced equation does not establish favorable thermodynamics, kinetics, a reaction mechanism, phase purity, yield, hazards or a practical synthesis route.
- Integer formulas and hydrate groups only; isotopes, fractional/variable occupancies, phase labels and implicit ionic charges are not inferred.