In a body-centered cubic (BCC) structure, how many atoms are there in one unit c

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Question: In a body-centered cubic (BCC) structure, how many atoms are there in one unit cell? (2022)

Options:

Correct Answer: 2

Exam Year: 2022

Solution:

In a body-centered cubic (BCC) structure, there are 2 atoms per unit cell (1 from the center and 1 from the corners).

In a body-centered cubic (BCC) structure, how many atoms are there in one unit cell? (2022)

In a body-centered cubic (BCC) structure, how many atoms are there in one unit cell? (2022)

Step 1: Understand what a unit cell is. A unit cell is the smallest repeating unit in a crystal structure.
Step 2: Identify the type of structure. We are looking at a body-centered cubic (BCC) structure.
Step 3: In a BCC structure, there is 1 atom located at the center of the cube.
Step 4: There are 8 corners in a cube, and each corner has 1/8 of an atom that belongs to the unit cell.
Step 5: Calculate the contribution from the corners: 8 corners x 1/8 atom per corner = 1 atom from the corners.
Step 6: Add the atoms together: 1 atom from the center + 1 atom from the corners = 2 atoms in total.

Body-Centered Cubic (BCC) Structure – A type of crystal structure where atoms are located at each corner of a cube and one atom is at the center of the cube.
Unit Cell – The smallest repeating unit in a crystal lattice that reflects the symmetry and structure of the entire crystal.
Atomic Contribution – Understanding how to calculate the number of atoms in a unit cell by considering the contribution of corner atoms and body-centered atoms.