Cubic Cell Calculator
Calculate lattice parameters, crystal density, and atomic packing factors for SC, BCC, and FCC cubic unit cells.
Calculation Parameters
Input your parameters below.
Calculated Result
Expert Tip
Make sure all values are in the correct units to ensure mathematically precise chemical results.
How this Calculator Works
This calculator allows you to solve Cubic Cell problems dynamically. Adjust the input parameters using the sliders or selection menu below:
- Atomic Radius (r, pm) (Range: 50 to 300, Default: 128)
- Cubic Lattice Structure Type (Dropdown selection, Default: Body-Centered Cubic (BCC))
The results are computed instantly and updated in the results panel on the right.
Formula & Methodology
Where:
- Atomic Radius: Parameter value.
- Cubic Lattice Structure Type: Parameter value.
Step-by-Step Calculation Example
To calculate Cubic Cell manually, follow these steps:
- Identify the input parameters. For example:
- Atomic Radius (r, pm) = 128
- Cubic Lattice Structure Type = Body-Centered Cubic (BCC)
- Apply the formula:
Simple Cubic: a = 2r | APF = 52.4%
- Verify the calculated value which is updated instantly in the results panel on the right.
Frequently Asked Questions
What are the 3 main cubic crystal structures? ▼
Simple Cubic (SC, 1 atom/cell), Body-Centered Cubic (BCC, 2 atoms/cell), and Face-Centered Cubic (FCC, 4 atoms/cell).
What is the atomic packing factor (APF) of FCC? ▼
FCC has the maximum close-packed cubic efficiency of 74.05% (APF = 0.74).
What is the relation between edge length (a) and atomic radius (r) in BCC? ▼
In BCC, body diagonal 4r = a × √3, so a = 4r / √3.