Bragg's law states that for constructive interference of X-rays diffracted by a crystal lattice, the path difference between the waves should be equal to the wavelength .Which of the following statements is true regarding the Bragg's equation for a crystal lattice?
Bragg's equation relates the interplanar spacing d, the angle of incidence , and the wavelength
of the X-rays as
,where n is an integer
Bragg's equation relates the interatomic distance a, the angle of incidence , and the wavelength
of the X-rays as
, where n is an integer.
Bragg's equation relates the interplanar spacing d, the angle of incidence ,and the wavelength
of the X-rays as
,where n is an even integer.
Bragg's equation relates the interatomic distance a, the angle of incidence , and the wavelength
of the X-rays a
,where n is an integer.
The Bragg's equation is a fundamental equation in crystallography that relates the diffraction angle, the interatomic or interplanar distance, and the wavelength of the incident X-rays. According to Bragg's law, when the path difference between the X-rays diffracted by a crystal lattice is equal to the wavelength the waves will interfere constructively, resulting in diffraction peaks. The Bragg's equation can be written as
, where d is the interplanar spacing, \theta is the angle of incidence,
is the wavelength of the X-rays, and n is an integer known as the order of the diffraction peak. Therefore, option a is the correct statement. Option b is incorrect because it refers to the interatomic distance instead of the interplanar spacing. Option c is incorrect because it implies that n must be even, which is not true. Finally, option d is incorrect because it refers to the interatomic distance and the factor of 2 is incorrect.