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How many atoms are in each simple cubic unit cell?

Published in Crystallography 1 min read

There is 1 atom in each simple cubic unit cell.

Explanation of Simple Cubic Unit Cells

A simple cubic unit cell is the most basic type of unit cell in a crystal structure. Atoms are located only at the corners of the cube. Because each corner atom is shared by eight adjacent unit cells, only 1/8th of each corner atom actually belongs to a particular unit cell. Since there are eight corners in a cube, the total number of atoms within a simple cubic unit cell is calculated as follows:

  • 8 corner atoms * (1/8 atom per corner) = 1 atom

Here's a simple breakdown:

  • Location of Atoms: Corners only
  • Contribution per Corner Atom: 1/8
  • Number of Corners: 8
  • Total Atoms per Unit Cell: (1/8) * 8 = 1
Cubic Cell Name Atoms per Unit Cell
Simple Cubic (SC) 1
Face-Centered Cubic (FCC) 4
Body-Centered Cubic (BCC) 2

It's important to note the coordination number for a simple cubic structure is 6. This refers to the number of nearest neighbors an atom has in the structure.

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