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Which of the following expressions is true in case of sodium chloride unit cell:
- a)rc + ra = a
- b)rc + ra = a/2
- c)rc + ra = 2a
- d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which of the following expressions is true in case of sodium chloride ...
In face-centered cubic system, the inter ionic distance is given by rc + ra = a/2
rc = Radius of the cation
ra = Radius of the Anion.
Most Upvoted Answer
Which of the following expressions is true in case of sodium chloride ...
In Nacl Na is present in octahedral void..means at the edge n centere of cubic lattice where is chloride ion is corner plus face..so2(rc+ra)=aThis imply rc + ra=a/2
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Which of the following expressions is true in case of sodium chloride ...
A/√2
The correct answer is d) rc ra = a/√2. The radius of the chloride ion (rc) is larger than the radius of the sodium ion (ra), and the sodium and chloride ions are arranged in a face-centered cubic lattice in the sodium chloride unit cell. Therefore, the distance between the centers of adjacent ions along a diagonal of the unit cell can be calculated using the Pythagorean theorem as: sqrt(2)a, where a is the length of the edge of the unit cell. This distance is equal to the sum of the radii of the sodium and chloride ions, so:
rc + ra = sqrt(2)a
Substituting rc = sqrt(2)a - ra, we get:
ra(sqrt(2)+1) = sqrt(2)a
ra = a/√2
Therefore, the expression rc ra = a/√2 is true for a sodium chloride unit cell.
The correct answer is d) rc ra = a/√2. The radius of the chloride ion (rc) is larger than the radius of the sodium ion (ra), and the sodium and chloride ions are arranged in a face-centered cubic lattice in the sodium chloride unit cell. Therefore, the distance between the centers of adjacent ions along a diagonal of the unit cell can be calculated using the Pythagorean theorem as: sqrt(2)a, where a is the length of the edge of the unit cell. This distance is equal to the sum of the radii of the sodium and chloride ions, so:
rc + ra = sqrt(2)a
Substituting rc = sqrt(2)a - ra, we get:
ra(sqrt(2)+1) = sqrt(2)a
ra = a/√2
Therefore, the expression rc ra = a/√2 is true for a sodium chloride unit cell.
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