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What is the planer density of (100) plane in FCC (face-centred cubic) crystal with unit cell side a equa! to?
- a)1.484/a2
- b)2/a2
- c)1/a2
- d)√2/a2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the planer density of (100) plane in FCC (face-centred cubic) ...
FCC on (100) plane
No. of atoms = 1/4 x 4 +1 = 2
Area = a x a = a2
Planar density = 2/a2
No. of atoms = 1/4 x 4 +1 = 2
Area = a x a = a2
Planar density = 2/a2
Most Upvoted Answer
What is the planer density of (100) plane in FCC (face-centred cubic) ...
The planar density of a crystal plane is defined as the number of atoms per unit area in that plane.
For a (100) plane in an FCC crystal, the atoms are arranged in a square lattice. Each unit cell in the (100) plane contains one-fourth of an atom. This is because each unit cell in the (100) plane only contains atoms that are shared with neighboring unit cells in the (100) plane.
The area of the unit cell in the (100) plane can be calculated by taking the square of the side length of the unit cell, which is given as "a". So, the area of the unit cell in the (100) plane is a^2.
Since each unit cell in the (100) plane contains one-fourth of an atom, the planar density is given by:
Planar density = (Number of atoms in the (100) plane) / (Area of the unit cell in the (100) plane)
Planar density = (1/4) / (a^2)
Therefore, the planar density of the (100) plane in an FCC crystal with unit cell side length a is 1 / (4 * a^2).
The correct answer is option c) 1/a^2.
For a (100) plane in an FCC crystal, the atoms are arranged in a square lattice. Each unit cell in the (100) plane contains one-fourth of an atom. This is because each unit cell in the (100) plane only contains atoms that are shared with neighboring unit cells in the (100) plane.
The area of the unit cell in the (100) plane can be calculated by taking the square of the side length of the unit cell, which is given as "a". So, the area of the unit cell in the (100) plane is a^2.
Since each unit cell in the (100) plane contains one-fourth of an atom, the planar density is given by:
Planar density = (Number of atoms in the (100) plane) / (Area of the unit cell in the (100) plane)
Planar density = (1/4) / (a^2)
Therefore, the planar density of the (100) plane in an FCC crystal with unit cell side length a is 1 / (4 * a^2).
The correct answer is option c) 1/a^2.
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What is the planer density of (100) plane in FCC (face-centred cubic) crystal with unit cell side a equa! to?a)1.484/a2b)2/a2c)1/a2d)√2/a2Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about What is the planer density of (100) plane in FCC (face-centred cubic) crystal with unit cell side a equa! to?a)1.484/a2b)2/a2c)1/a2d)√2/a2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the planer density of (100) plane in FCC (face-centred cubic) crystal with unit cell side a equa! to?a)1.484/a2b)2/a2c)1/a2d)√2/a2Correct answer is option 'B'. Can you explain this answer?.
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