Body Centered Cubic Cell Calculator

BCC Unit Cell:

\[ \text{Atoms per unit cell} = 2 \]

Atoms per Unit Cell:

Packing Fraction:

Calculated Atomic Radius:

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1. What is a Body Centered Cubic Cell?

The Body Centered Cubic (BCC) structure is a common arrangement of atoms in crystalline solids where atoms are located at each corner of the cube and one atom at the center. Each unit cell contains 2 atoms.

2. How Does the Calculator Work?

The calculator uses BCC geometry relationships:

\[ \text{Body diagonal} = a\sqrt{3} = 4r \]

Where:

\( a \) — Edge length of the unit cell
\( r \) — Atomic radius

Explanation: In BCC, atoms touch along the body diagonal, which relates the edge length to the atomic radius.

3. Importance of BCC Calculation

Details: Understanding BCC geometry is crucial for materials science, predicting material properties, and analyzing crystal structures.

4. Using the Calculator

Tips: Enter either edge length or atomic radius to calculate the other parameter. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How many atoms are in a BCC unit cell?
A: There are 2 atoms per BCC unit cell (1 center atom + 8 corner atoms × 1/8 each).

Q2: What metals have BCC structure?
A: Common BCC metals include iron (α-Fe), chromium, tungsten, and molybdenum.

Q3: What is the packing fraction of BCC?
A: The theoretical packing fraction is about 68%, which is less dense than FCC.

Q4: How does BCC compare to FCC?
A: BCC has lower packing efficiency (68%) than FCC (74%) and different mechanical properties.

Q5: What is the coordination number in BCC?
A: Each atom in BCC has 8 nearest neighbors (coordination number = 8).