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A crystal belongs to a face cubic lattice with four atoms in the unit cell. The size of crystal is 1cm and its unit cell dimension is 1nm.Then the number of atoms in the crystal is in unit of 1021 is?
Correct answer is '4'. Can you explain this answer?
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A crystal belongs to a face cubic lattice with four atoms in the unit ...
Crystal size = 1 cm
Size of unit cell = 1 nm
For fee structure, number of atoms per unit cell = 4
Number of atoms = 4x1021
The correct answer is: 4
Size of unit cell = 1 nm
For fee structure, number of atoms per unit cell = 4
Number of atoms = 4x1021
The correct answer is: 4
Most Upvoted Answer
A crystal belongs to a face cubic lattice with four atoms in the unit ...
Crystal Structure and Unit Cell
A crystal is a solid material whose atoms are arranged in a repeating pattern extending in all three spatial dimensions. The unit cell is the smallest repeating unit of a crystal lattice, which represents the basic building block of the crystal structure.
Face-Centered Cubic (FCC) Lattice
In a face-centered cubic (FCC) lattice, the unit cell consists of atoms at the eight corners of a cube and additional atoms at the centers of each of the six faces. This results in a total of four atoms per unit cell.
Given Information
- Crystal size: 1 cm
- Unit cell dimension: 1 nm
Conversion of Units
To determine the number of atoms in the crystal, we need to convert the given sizes into the same unit. Let's convert 1 cm to nm:
1 cm = 1 × 10^-7 m = 1 × 10^-7 × 10^9 nm = 1000 nm
Calculating the Number of Unit Cells
Now, we can calculate the number of unit cells in the crystal by dividing the total crystal size by the unit cell dimension:
Number of unit cells = Crystal size / Unit cell dimension
= 1000 nm / 1 nm
= 1000
Calculating the Number of Atoms in the Crystal
Since each unit cell contains four atoms, the total number of atoms in the crystal can be obtained by multiplying the number of unit cells by the number of atoms per unit cell:
Number of atoms in the crystal = Number of unit cells × Number of atoms per unit cell
= 1000 × 4
= 4000
Conversion to 10^21 Units
Finally, we convert the number of atoms to the desired unit of 10^21:
Number of atoms in the crystal (in 10^21 units) = 4000 / (10^21)
= 4
Therefore, the correct answer is 4.
A crystal is a solid material whose atoms are arranged in a repeating pattern extending in all three spatial dimensions. The unit cell is the smallest repeating unit of a crystal lattice, which represents the basic building block of the crystal structure.
Face-Centered Cubic (FCC) Lattice
In a face-centered cubic (FCC) lattice, the unit cell consists of atoms at the eight corners of a cube and additional atoms at the centers of each of the six faces. This results in a total of four atoms per unit cell.
Given Information
- Crystal size: 1 cm
- Unit cell dimension: 1 nm
Conversion of Units
To determine the number of atoms in the crystal, we need to convert the given sizes into the same unit. Let's convert 1 cm to nm:
1 cm = 1 × 10^-7 m = 1 × 10^-7 × 10^9 nm = 1000 nm
Calculating the Number of Unit Cells
Now, we can calculate the number of unit cells in the crystal by dividing the total crystal size by the unit cell dimension:
Number of unit cells = Crystal size / Unit cell dimension
= 1000 nm / 1 nm
= 1000
Calculating the Number of Atoms in the Crystal
Since each unit cell contains four atoms, the total number of atoms in the crystal can be obtained by multiplying the number of unit cells by the number of atoms per unit cell:
Number of atoms in the crystal = Number of unit cells × Number of atoms per unit cell
= 1000 × 4
= 4000
Conversion to 10^21 Units
Finally, we convert the number of atoms to the desired unit of 10^21:
Number of atoms in the crystal (in 10^21 units) = 4000 / (10^21)
= 4
Therefore, the correct answer is 4.
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A crystal belongs to a face cubic lattice with four atoms in the unit cell. The size of crystal is 1cmand its unit cell dimension is 1nm.Then the number of atoms in the crystal is in unit of 1021 is?Correct answer is '4'. Can you explain this answer?
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A crystal belongs to a face cubic lattice with four atoms in the unit cell. The size of crystal is 1cmand its unit cell dimension is 1nm.Then the number of atoms in the crystal is in unit of 1021 is?Correct answer is '4'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A crystal belongs to a face cubic lattice with four atoms in the unit cell. The size of crystal is 1cmand its unit cell dimension is 1nm.Then the number of atoms in the crystal is in unit of 1021 is?Correct answer is '4'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A crystal belongs to a face cubic lattice with four atoms in the unit cell. The size of crystal is 1cmand its unit cell dimension is 1nm.Then the number of atoms in the crystal is in unit of 1021 is?Correct answer is '4'. Can you explain this answer?.
A crystal belongs to a face cubic lattice with four atoms in the unit cell. The size of crystal is 1cmand its unit cell dimension is 1nm.Then the number of atoms in the crystal is in unit of 1021 is?Correct answer is '4'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A crystal belongs to a face cubic lattice with four atoms in the unit cell. The size of crystal is 1cmand its unit cell dimension is 1nm.Then the number of atoms in the crystal is in unit of 1021 is?Correct answer is '4'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A crystal belongs to a face cubic lattice with four atoms in the unit cell. The size of crystal is 1cmand its unit cell dimension is 1nm.Then the number of atoms in the crystal is in unit of 1021 is?Correct answer is '4'. Can you explain this answer?.
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