Concept explainers
The aluminum-nickel alloy
(a)
Interpretation:
The angle by which the X rays would be diffracted by the
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.
Answer to Problem 21.34E
The angle by which the X rays would be diffracted by the
Explanation of Solution
The
Where,
•
•
The Bragg equation for diffraction of X rays is given by an expression as shown below.
Where,
•
•
•
•
Substitute equation (1) in equation (2).
The above formula can be written as follows:
The given plane is
Substitute the value of
Thus, the angle by which the X rays would be diffracted by the
The angle by which the X rays would be diffracted by the
(b)
Interpretation:
The angle by which the X rays would be diffracted by the
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.
Answer to Problem 21.34E
The angle by which the X rays would be e diffracted by the
Explanation of Solution
The
Where,
•
•
The Bragg equation for diffraction of X rays is given by an expression as shown below.
Where,
•
•
•
•
Substitute equation (1) in equation (2).
The above formula can be written as follows:
The given plane is
Substitute the value of
Thus, the angle by which the X rays would be diffracted by the
The angle by which the X rays would be diffracted by the
(c)
Interpretation:
The angle would the X rays be diffracted by the
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.
Answer to Problem 21.34E
The angle by which the X rays would be diffracted by the
Explanation of Solution
The
Where,
•
•
The Bragg equation for diffraction of X rays is given by an expression as shown below.
Where,
•
•
•
•
Substitute equation (1) in equation (2).
The above formula can be written as follows:
The given plane is
Substitute the value of
Thus, the angle by which the X rays would be diffracted by the
The angle by which the X rays would be diffracted by the
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Chapter 21 Solutions
Physical Chemistry
- Potassium chloride has the same unit cell as NaCl. Using the ion sizes in Figure 7.11, calculate the density of KCl. FIGURE 7.11 Relative sizes of some common ions. Rodii are given in picometers (1 pm 1 1012 m). (Data taken from J. Emsley, The Elements, Clarendon Press, Oxford, 1998, 3rd edition.)arrow_forwardThe unit cell of silicon carbide, SiC, is illustrated below. (a) In what type of unit cell are the (dark gray) C atoms arranged? (b) If one edge of the silicon carbide unit cell is 436.0 pm, what is the calculated density of this compound? A portion of the solid-state structure of silicon carbide.arrow_forwardWhat is the relationship between the structures of buckminsterfullerene and carbon nanotubes?arrow_forward
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