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Aluminum metal has a density of 2.72g/cm3 and crystallizes in lattice with an edge length of 404 pm. Which of the following alternative are correct:           
  • a)
    It forms a base centered cubic unit cell                   
  • b)
    It forms a face centered cubic unit cell           
  • c)
    Its coordination number is 8         
  • d)
    its coordination number is 6
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Aluminum metal has a density of 2.72g/cm3 and crystallizes in lattice ...
Explanation:

1. Density of aluminum metal:
The given density of aluminum metal is 2.72 g/cm3. This means that for every cubic centimeter of aluminum, it has a mass of 2.72 grams.

2. Lattice with an edge length of 404 pm:
The lattice refers to the arrangement of atoms in a crystal structure. The edge length of 404 pm (picometers) represents the distance between the centers of two adjacent atoms in the crystal structure.

3. Determining the unit cell:
To determine the unit cell of aluminum, we need to consider the arrangement of atoms in the crystal lattice. There are three common types of unit cells: simple cubic (SC), body-centered cubic (BCC), and face-centered cubic (FCC).

4. Coordination number:
The coordination number refers to the number of atoms or ions that surround a central atom or ion in a crystal lattice. It represents the number of nearest neighbors of an atom.

5. Analyzing the options:
a) Base-centered cubic unit cell: This type of unit cell has additional atoms located at the center of each face of the cube. The coordination number for base-centered cubic is 8. However, aluminum does not crystallize in a base-centered cubic structure.

b) Face-centered cubic unit cell: This type of unit cell has additional atoms located at the center of each face of the cube. The coordination number for face-centered cubic is 12. Aluminum metal crystallizes in a face-centered cubic structure, where each aluminum atom is surrounded by 12 neighboring aluminum atoms.

c) Coordination number of 8: This coordination number is associated with a cubic close-packed (CCP) or face-centered cubic (FCC) structure, where each atom is surrounded by 12 nearest neighbors. The coordination number of aluminum is 12, not 8.

d) Coordination number of 6: This coordination number is associated with a hexagonal close-packed (HCP) structure, where each atom is surrounded by 6 nearest neighbors. The coordination number of aluminum is 12, not 6.

6. Conclusion:
Based on the information provided, the correct option is b) It forms a face-centered cubic unit cell.
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Aluminum metal has a density of 2.72g/cm3 and crystallizes in lattice with an edge length of 404 pm. Which of the following alternative are correct:a)It forms a base centered cubic unit cellb)It forms a face centered cubic unit cellc)Its coordination number is 8d)its coordination number is 6Correct answer is option 'B'. Can you explain this answer?
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