Coefficient of linear expansion / Bragg peaks

In summary, the coefficient of linear expansion is a physical property denoted by the symbol α that describes how a material changes in length when heated or cooled. It is calculated by dividing the change in length by the original length and temperature and is important in understanding material behavior and designing materials. Bragg peaks are sharp peaks in the X-ray diffraction pattern of a crystal, used in materials science to determine crystal structure, spacing between atoms, and the presence of defects or impurities in a material. This information is crucial for understanding material properties and developing new materials.
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Homework Statement



Measurements of XRay scattering from a metal are made. The bragg peaks are θ = 53° and 48° for temperatures of 300K and 1272K.

What is the linear expansion coefficient?

Homework Equations


linear expansion coef is given by (1/L)(dL/dT)
Bragg equation (differential form) δd / d=δθ / tan θ.

The Attempt at a Solution


I don't know where to start with this question, any advice would be appreciated.
 
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what is the relationship between L and d? and between delta L and delta d?
 

What is the coefficient of linear expansion?

The coefficient of linear expansion is a physical property that describes the change in length of a material when it is heated or cooled. It is denoted by the symbol α and is measured in units of length per unit temperature.

How is the coefficient of linear expansion calculated?

The coefficient of linear expansion can be calculated by dividing the change in length of a material by its original length and the change in temperature. The resulting value is then multiplied by the original temperature.

What is the significance of the coefficient of linear expansion?

The coefficient of linear expansion is important in understanding how materials will behave when exposed to changes in temperature. It can affect the structural integrity and stability of structures and can also be used to design and engineer materials for specific applications.

What are Bragg peaks?

Bragg peaks are a series of sharp peaks that appear in the X-ray diffraction pattern of a crystal. They are caused by the constructive interference of X-rays scattered by the crystal lattice, and their positions can be used to determine the crystal structure of a material.

How are Bragg peaks used in materials science?

Bragg peaks are used in materials science to study the crystal structure of materials. By analyzing the positions and intensities of the peaks, scientists can determine the lattice structure, the spacing between atoms, and the presence of any defects or impurities in the material. This information is essential for understanding the physical and chemical properties of materials and for developing new materials with specific properties.

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