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Concept explainers
(a)
Interpretation:
The closest
Concept introduction:
A unit cell of the crystal is the three-dimensional arrangement of the atoms present in the crystal. The unit cell is the smallest and simplest unit of the crystal which on repetition forms an entire crystal. Unit cell can be a cubic unit cell or hexagonal unit cell. The classification of a unit cell depends on the lattice site occupied by the atoms.
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Answer to Problem 22.35E
The closest
Explanation of Solution
The structure of a face-centered cubic lattice is shown below.
Figure 1
The plane of face-centered cubic lattice that has
Figure 2
The closest
The lattice parameter
The Pythagoras theorem is shown below.
Where,
•
•
•
The hypotenuse of the triangle shown in Figure (2) is
The base and perpendicular of the triangle shown in Figure (2) are
Substitute the value of hypotenuse, base, and perpendicular in the equation (1).
Substitute the value of
Therefore, the closest
The closest
(b)
Interpretation:
The closest
Concept introduction:
A unit cell of the crystal is the three-dimensional arrangement of the atoms present in the crystal. The unit cell is the smallest and simplest unit of the crystal which on repetition forms an entire crystal. Unit cell can be a cubic unit cell or hexagonal unit cell. The classification of a unit cell depends on the lattice site occupied by the atoms.
![Check Mark](/static/check-mark.png)
Answer to Problem 22.35E
The closest
Explanation of Solution
The structure of a face-centered cubic lattice is shown below.
Figure 1
The plane of face-centered cubic lattice that has
Figure 3
The lattice parameter
The relation between the length of the edge of a cube
The diagonal of the triangle shown in Figure (3) is
Substitute the value of
Therefore, the closest
The closest
(c)
Interpretation:
The closest
Concept introduction:
A unit cell of the crystal is the three-dimensional arrangement of the atoms present in the crystal. The unit cell is the smallest and simplest unit of the crystal which on repetition forms an entire crystal. Unit cell can be a cubic unit cell or hexagonal unit cell. The classification of a unit cell depends on the lattice site occupied by the atoms.
![Check Mark](/static/check-mark.png)
Answer to Problem 22.35E
The closest
Explanation of Solution
The structure of a face-centered cubic lattice is shown below.
Figure 1
The plane of face-centered cubic lattice that has
Figure 4
The side of the trigonal plane is same as the diagonal of the of the cube.
The lattice parameter
The relation between the length of the edge of a cube
The diagonal of the triangle shown in Figure (4) is
Substitute the value of
Therefore, the closest
The closest
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Chapter 22 Solutions
Physical Chemistry
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- 4arrow_forwardCalculate the mass density of diamond assuming that it is a close-packed structure of hard spheres with radii equal to half the carbon–carbon bond length of 154.45 pm. (b) The diamond lattice is in fact based on a face-centred cubic lattice but with two atoms per lattice point, such that the structure consists of two interpenetrating fcc lattices, one with its origin at (0,0,0) and the other with its origin at (1/4,1/4,1/4). The experimentally determined mass density is 3.516 g cm−3: can you explain the difference between this value and that in (a)?arrow_forwardExpress the relationship between atomic radius(r) and the edge length (a) of the fee unit cell.arrow_forward
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