Simple Cubic Unit Cell Atoms Calculation
The question asks for the number of atoms present in one unit cell of a Simple Cubic (SCC) crystal structure.
Understanding Simple Cubic (SCC) Structure
A Simple Cubic lattice is one of the simplest crystal structures. In this structure:
- Atoms are located only at the eight corners of the cube.
- There are no atoms at the center of the faces or the body center.
Calculating Atoms per SCC Unit Cell
To find the total number of atoms within a single unit cell, we need to consider how much of each corner atom actually belongs to that specific unit cell.
- In a simple cubic structure, each corner atom is shared by 8 adjacent unit cells.
- Therefore, only 1/8th of each corner atom belongs to any single unit cell.
The calculation is as follows:
Number of atoms = (Contribution of atoms at corners)
Number of atoms = (Number of corners) × (Fraction of atom at each corner)
Number of atoms = (8 corners) × (1/8 atom/corner)
Number of atoms = $8 \times \frac{1}{8}$
Number of atoms = $1$
Thus, there is exactly 1 atom per unit cell in a Simple Cubic (SCC) structure.
Conclusion
Based on the structure and the calculation of shared atoms, the number of atoms per unit cell for SCC is 1.
Important Questions from Chemistry (CUET PG) Mixed
- Which of the following atmospheric gas does not dissolve in water at standard temperature and pressure conditions?
- Which of the following physical processes is responsible for the blue color of the sky?
- Arrange the following coal types in the increasing order of their heat content (KJ/kg)
(A). Peat
(B). Lignite
(C). Anthracite
(D). Bituminous
(E) Sub-bituminous
Choose the correct answer from the options given below: - In which of the following layers of atmosphere, does the temperature decrease with the increase in height from the earth's surafce?
(A). Troposphere
(B). Mesosphere
(C). Thermosphere
(D). Stratosphere
Choose the correct answer from the options given below: Choose the correct statement from the following:
(A). Water has highest density at 4°C
(B). Freezing point of water is 0°C
(C) An Ice cube does not completely dip in water, rather floats on water in a glass.
(D). Addition of common salt reduces freezing point of water.
Choose the correct answer from the options given below:
