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The edge length of face centred cubic cell having rock salt structure is 508 pm.if radius of cation is 110 pm,the radius of anion is?? Answer is 144 pm.How?
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The edge length of face centred cubic cell having rock salt structure ...
Given:
Edge length of face-centred cubic cell = 508 pm
Radius of cation = 110 pm
To find:
Radius of anion
Solution:
Face-centred cubic unit cell has 4 atoms, 1 at each corner and 1 at the centre of each face.
Rock salt structure represents the arrangement of cations and anions in a cubic close-packed structure.
In rock salt structure, the cations occupy the alternate corners of the cube and the anions occupy the remaining corners and the centre of each face.
Radius ratio of cation to anion in rock salt structure is √2:1.
Formula to calculate the edge length of the unit cell:
a = 2√2r
where,
a = edge length of the unit cell
r = radius of the anion
Formula to calculate the radius of the cation:
r_cat = 0.5a
where,
r_cat = radius of the cation
Substituting the given values in the above formulae, we get:
a = 508 pm
r_cat = 110 pm
r = (a/2√2) = (508 pm/2√2) = 181.16 pm
r_anion = (r_cat/√2) = (110 pm/√2) = 77.94 pm
Therefore, the radius of the anion is 144 pm (rounded off to 3 significant figures).
Hence, the radius of the anion in rock salt structure is 144 pm.
Edge length of face-centred cubic cell = 508 pm
Radius of cation = 110 pm
To find:
Radius of anion
Solution:
Face-centred cubic unit cell has 4 atoms, 1 at each corner and 1 at the centre of each face.
Rock salt structure represents the arrangement of cations and anions in a cubic close-packed structure.
In rock salt structure, the cations occupy the alternate corners of the cube and the anions occupy the remaining corners and the centre of each face.
Radius ratio of cation to anion in rock salt structure is √2:1.
Formula to calculate the edge length of the unit cell:
a = 2√2r
where,
a = edge length of the unit cell
r = radius of the anion
Formula to calculate the radius of the cation:
r_cat = 0.5a
where,
r_cat = radius of the cation
Substituting the given values in the above formulae, we get:
a = 508 pm
r_cat = 110 pm
r = (a/2√2) = (508 pm/2√2) = 181.16 pm
r_anion = (r_cat/√2) = (110 pm/√2) = 77.94 pm
Therefore, the radius of the anion is 144 pm (rounded off to 3 significant figures).
Hence, the radius of the anion in rock salt structure is 144 pm.
Community Answer
The edge length of face centred cubic cell having rock salt structure ...
A=r+2R+r (r is the radius of cation and R is the radius of anion.. )
2r+2R=508(according to the qus a=508)
R=144pm(according to the qus r=110)
2r+2R=508(according to the qus a=508)
R=144pm(according to the qus r=110)
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The edge length of face centred cubic cell having rock salt structure is 508 pm.if radius of cation is 110 pm,the radius of anion is?? Answer is 144 pm.How?
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The edge length of face centred cubic cell having rock salt structure is 508 pm.if radius of cation is 110 pm,the radius of anion is?? Answer is 144 pm.How? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The edge length of face centred cubic cell having rock salt structure is 508 pm.if radius of cation is 110 pm,the radius of anion is?? Answer is 144 pm.How? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The edge length of face centred cubic cell having rock salt structure is 508 pm.if radius of cation is 110 pm,the radius of anion is?? Answer is 144 pm.How?.
The edge length of face centred cubic cell having rock salt structure is 508 pm.if radius of cation is 110 pm,the radius of anion is?? Answer is 144 pm.How? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The edge length of face centred cubic cell having rock salt structure is 508 pm.if radius of cation is 110 pm,the radius of anion is?? Answer is 144 pm.How? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The edge length of face centred cubic cell having rock salt structure is 508 pm.if radius of cation is 110 pm,the radius of anion is?? Answer is 144 pm.How?.
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