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didy
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What are the diffraction conditions for plans in a hexagonal closed packed lattice with atoms of the same type at 000 1/3 2/3 1/2?
A hexagonal closed packed lattice is a crystal lattice structure that consists of closely packed spheres in a hexagonal arrangement. It is one of the most common crystal structures found in metals and is characterized by having six spheres arranged around a central sphere in a hexagonal pattern.
The diffraction conditions for a hexagonal closed packed lattice are based on the Bragg equation, which states that for a diffraction peak to occur, the path difference between the scattered waves from adjacent planes in the lattice must be equal to an integer multiple of the wavelength of the incident radiation.
The diffraction angles for a hexagonal closed packed lattice can be determined using the Bragg equation and the Miller indices notation. The diffraction angle is given by the equation θ = 2sin^-1(nλ/2d), where n is the order of the diffraction peak, λ is the wavelength of the incident radiation, and d is the spacing between lattice planes determined by the Miller indices.
The relationship between the diffraction angle and the lattice spacing in a hexagonal closed packed lattice is given by the Bragg equation. As the diffraction angle increases, the lattice spacing decreases, and vice versa. This relationship allows for the determination of lattice spacing using X-ray diffraction techniques.
The hexagonal closed packed lattice structure is important in materials science because it is a common crystal structure found in many metals, such as magnesium, titanium, and zinc. Understanding the diffraction conditions for this lattice helps researchers to analyze and characterize the properties of these materials, which is crucial for their use in various applications.