(a) Draw the unit cell structure of NaCl. Calculate the limiting radiu...
(a) Unit cell of NaCl Cl– = F.C.C arrangement Na+ = All octahedral voids.
Limiting Radius Ratio:
Let a = Edge length
= 1.414 -1 = 0.414
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(a) Draw the unit cell structure of NaCl. Calculate the limiting radiu...
Unit Cell Structure of NaCl:
The unit cell structure of NaCl is based on a face-centered cubic (FCC) arrangement. In this arrangement, the Cl- ions occupy the corner positions of the cube, while the Na+ ions are located at the center of each face of the cube. This arrangement is also known as the rock salt structure.
Calculating the Limiting Radius Ratio:
The limiting radius ratio is a measure of the relative sizes of the cation and anion in an ionic solid. It is given by the ratio of the radius of the cation (r+) to the radius of the anion (r-).
In the case of the NaCl structure, the Na+ ion is smaller than the Cl- ion. Let's assume the radius of the Na+ ion is "r" and the radius of the Cl- ion is "R".
Since the Na+ ions occupy the octahedral voids in the FCC arrangement, the distance between two Na+ ions along the body diagonal of the unit cell is equal to 4r (twice the length of the face diagonal). Similarly, the distance between two Cl- ions along the edge of the unit cell is equal to 2R.
Using the Pythagorean theorem, we can calculate the length of the body diagonal of the unit cell:
(diagonal)^2 = (edge)^2 + (face diagonal)^2
(4r)^2 = (2R)^2 + (edge)^2
16r^2 = 4R^2 + (2R)^2
16r^2 = 4R^2 + 4R^2
16r^2 = 8R^2
r^2 = 0.5R^2
Taking the square root of both sides, we get:
r = 0.707R
Therefore, the limiting radius ratio for NaCl-like structures is approximately 0.707.
Molecular Formula and Structure of Compound Formed:
When Be(OH)2 reacts with acetic acid (CH3COOH), it forms the compound Be(CH3COO)2, also known as beryllium acetate.
The molecular formula of beryllium acetate is Be(CH3COO)2. It consists of one beryllium ion (Be2+) and two acetate ions (CH3COO-). The acetate ion is a polyatomic ion formed by the combination of a methyl group (CH3-) and a carboxylate group (COO-).
The structure of beryllium acetate can be represented as follows:
O
//
Be - C - O
\\
O
In this structure, the beryllium ion is bonded to two acetate ions through ionic bonds. The beryllium ion has a linear geometry, while the acetate ions have a trigonal planar geometry.
It is important to note that beryllium compounds are highly toxic, and proper safety precautions should be taken when handling them.