Vacant Space in a body centered cubic lattice unit cell is about
Vacant Space in a body centered cubic lattice unit cell is about
- 23%
- 32%
- 46%
- 10%
The Correct Option is B
Solution and Explanation
"To determine the vacant space in a BCC lattice unit cell, we need to consider the arrangement of atoms or ions and the spaces left between them.
In a BCC lattice, each lattice point is occupied by an atom or ion, and there is a vacant space in the center of the unit cell. This vacant space is often referred to as an octahedral void.
The volume of the octahedral void is equal to the volume of one atom or ion. In a BCC lattice, the volume occupied by the atoms or ions is equal to the volume of the eight atoms or ions at the corners plus the volume of the one atom or ion at the center.
Therefore, the vacant space in a BCC lattice unit cell is given by: Vacant space = (Volume of octahedral void) / (Total volume of the unit cell) * 100
Since the volume of the octahedral void is equal to the volume of one atom or ion, and the total volume of the unit cell is the sum of the volumes of the atoms or ions at the corners and the center, we can calculate the vacant space.
The vacant space in a BCC lattice unit cell is approximately 32% (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.