# Diffraction Conditions for Hexagonal Closed Packed Lattice

• didy
In summary, a hexagonal closed packed lattice is a crystal lattice structure that consists of closely packed spheres in a hexagonal arrangement. The diffraction conditions for this lattice are based on the Bragg equation, which states that the path difference between scattered waves must be equal to an integer multiple of the incident radiation's wavelength. The diffraction angles can be determined using the Bragg equation and Miller indices notation. The relationship between the diffraction angle and lattice spacing allows for the determination of lattice spacing using X-ray diffraction techniques. The hexagonal closed packed lattice is important in materials science as it is a common structure found in many metals and understanding its diffraction conditions helps in characterizing their properties.
didy
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?

You mean the conditions for structure factor to be non-zero? These ones will depend on the basis as you seem to imply.
Otherwise, the diffraction condition is given by Bragg's law, for any type of lattice.

For close packed hexagonal I think that the structure factor is zero when h+2k is a multiple of 3.

ok..
thx ya...

## What is a hexagonal closed packed lattice?

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.

## What are the diffraction conditions for a hexagonal closed packed lattice?

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.

## How do you determine the diffraction angles for a hexagonal closed packed lattice?

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.

## What is the relationship between the diffraction angle and the lattice spacing in a hexagonal closed packed lattice?

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.

## Why is the hexagonal closed packed lattice structure important in materials science?

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.

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