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Cubic Unit Cell Density Calculator — result sheet
Calculate ideal crystal density from unit-cell edge length, atoms per cell, and molar mass.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Density = nM/(NAa³), with a converted from nanometres to centimetres.
The cubic-cell volume and Avogadro conversion are kept visible so the output unit is grams per cubic centimetre.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Cubic edge length — nm; minimum 1.0E-6; maximum 1000000
- Atoms per unit cell — minimum 1.0E-6; maximum 1000000
- Molar mass — g/mol; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Cubic edge length | 0.5 |
| Atoms per unit cell | 4 |
| Molar mass | 58.44 |
Density is approximately 3.12 g/cm³.
Assumptions and limits
- The unit cell is cubic, edge length is positive, and atoms per cell is an effective count.
- Molar mass is in g/mol and the edge length is converted exactly using 1 nm=10⁻⁷ cm.
- Defects, thermal expansion, impurities, and packing uncertainty are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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