Unit Cell Volume Formula:
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Definition: This calculator computes the volume of a water unit cell based on its lattice constant.
Purpose: It helps researchers and students in crystallography and materials science determine the volume occupied by a single unit cell in water's crystal structure.
The calculator uses the formula:
Where:
Explanation: The lattice constant is cubed to calculate the volume of the cubic unit cell.
Details: Understanding unit cell volume is crucial for studying water's crystalline properties, density calculations, and molecular arrangements in solid state.
Tips: Enter the lattice constant in meters (typically around 3.1 Å or 3.1 × 10⁻¹⁰ m for ice Ih). Value must be > 0.
Q1: What is a lattice constant?
A: The lattice constant is the physical dimension of unit cells in a crystal lattice, representing the distance between adjacent unit cells.
Q2: Does this work for all water phases?
A: This simple cubic formula works for ice Ih (hexagonal) when using the appropriate lattice parameter. Different phases may require more complex calculations.
Q3: What's the typical lattice constant for water ice?
A: For ice Ih at 0°C, the lattice constants are approximately a = 4.52 Å and c = 7.36 Å in the hexagonal system.
Q4: How precise should my input be?
A: For scientific work, use at least 4 significant figures as lattice constants are typically very small (on the order of 10⁻¹⁰ m).
Q5: Can I use this for other materials?
A: The cubic formula works for simple cubic crystals. Other crystal systems (tetragonal, orthorhombic, etc.) require different formulas.