The vacant space in bcc lattice unit cell is:
The vacant space in bcc lattice unit cell is:
Show Hint
BCC unit cell includes eight atoms at the corner of the cube and one atom at the center of the unit cell. We can find % vacant space by following the equation.
% Vacant space = 100 - % Volume occupied by atoms in a unit cell
- 0.23
- 0.32
- 0.26
- 0.48
The Correct Option is B
Solution and Explanation
The vacant space in bcc lattice unit cell is 0.32.
BCC stands for body-centered cubic lattice, which is one of the specific arrangements of atoms in the crystalline state. Eight atoms occupy the corners of the cube in the BCC unit cell. There is one atom at the center of the cube as well.
Packing efficiency in bcc lattice = \(68\%\)
\(\therefore\) vacant space in bcc lattice = \(100 - 68 = 32\%\)
Therefore, the correct answer is option B.
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Concepts Used:
Solid State
Solids are substances that are featured by a definite shape, volume, and high density. In the solid-state, the composed particles are arranged in several manners. Solid-state, in simple terms, means "no moving parts." Thus solid-state electronic devices are the ones inclusive of solid components that don’t change their position. Solid is a state of matter where the composed particles are arranged close to each other. The composed particles can be either atoms, molecules, or ions.
Types of Solids:
Based on the nature of the order that is present in the arrangement of their constituent particles solids can be divided into two types;
- Amorphous solids behave the same as super cool liquids due to the arrangement of constituent particles in short-range order. They are isotropic and have a broad melting point (range is about greater than 5°C).
- Crystalline solids have a fixed shape and the constituent particles are arranged in a long-range order.