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When constituent particles are present o...

When constituent particles are present only on the corner of a unit cell, it is called

A

Primitive unit cell

B

FCC unit cell

C

BCC unit cell

D

All of these

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The correct Answer is:
To solve the question, "When constituent particles are present only on the corner of a unit cell, it is called," we will analyze the options provided and derive the correct answer step by step. ### Step-by-Step Solution: 1. **Understanding Unit Cells**: - A unit cell is the smallest repeating unit in a crystal lattice. It defines the structure of the entire crystal. 2. **Identifying the Types of Unit Cells**: - There are different types of unit cells based on the arrangement of constituent particles (atoms, ions, or molecules). The most common types are Primitive (PCC), Face-Centered Cubic (FCC), and Body-Centered Cubic (BCC). 3. **Analyzing the Primitive Unit Cell (PCC)**: - In a primitive unit cell, constituent particles are located only at the corners of the unit cell. - Each corner atom contributes 1/8th of its volume to the unit cell because it is shared among eight adjacent unit cells. - Since there are 8 corners in a cubic unit cell, the total contribution from the corners is: \[ \text{Total contribution} = 8 \times \frac{1}{8} = 1 \] - Therefore, the effective number of atoms per unit cell (Z) for a primitive unit cell is 1. 4. **Analyzing the Face-Centered Cubic (FCC)**: - In an FCC unit cell, atoms are located at the corners and the centers of each face. - The contribution from the corners is the same as in the primitive unit cell (1 atom), but there are also atoms at the face centers contributing an additional 3 atoms (since each face-centered atom contributes 1/2 to the unit cell). - Thus, the total effective number of atoms in an FCC unit cell is: \[ Z = 1 (\text{from corners}) + 3 (\text{from faces}) = 4 \] 5. **Analyzing the Body-Centered Cubic (BCC)**: - In a BCC unit cell, there is one atom at the center of the cube and atoms at the corners. - The contribution from the corners is again 1 atom, and the center atom contributes 1 atom. - Therefore, the effective number of atoms in a BCC unit cell is: \[ Z = 1 (\text{from corners}) + 1 (\text{from body center}) = 2 \] 6. **Conclusion**: - Since the question specifically asks for the type of unit cell where constituent particles are present only at the corners, the correct answer is the **Primitive Unit Cell (PCC)**. ### Final Answer: The correct option is **Primitive Unit Cell (PCC)**.
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AAKASH INSTITUTE ENGLISH-THE SOLID STATE -EXERCISE
  1. What type of solids are electrical conductors, malleable or ductile?

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  2. Which of the following set of solids contains only ionic solids ?

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  3. When constituent particles are present only on the corner of a unit ce...

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  4. The number of tetrahedral voids present on each body diagonal ccp unit...

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  5. Octahedral void at edge center in ccp arrangement is equally distribut...

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  6. Total number of octahedral voids present per unit cell of ccp unit cel...

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  7. The co-ordination number in 3D-hexagonal close packing is

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  8. The efficiency of packing in simple cubic unit cell is

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  9. 'A' has fcc arrangement, 'B' is present in 2//3^(rd) of tetrahedral vo...

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  10. Gold crystallises in ccp structure. The number of voids present in 197...

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  11. The correct relation for radius of atom and edge - length in case of f...

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  12. The type of void present at the centre of the ccp unit cell is

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  13. The ratio of atoms present per unit cell in bcc to that present in fcc...

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  14. Stoichiometric defect is also known as

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  15. Which one of the following compounds can show Frenkel defect ?

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  16. In NaCl there are schottky pairs per cm^(3) at room temperature

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  17. Which of the following compounds is likely to show both Frenkel a...

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  18. The anionic sites occupied by electrons are called

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  19. The solids which are good conductor of electricity should have conduct...

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  20. Identify the antiferromagnetic substance

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