X-ray Diffraction: Smallest Angle of Scattering

In summary, X-ray diffraction is a technique used to study the structure of materials by analyzing the scattering of X-rays off of the atoms within the material. It works by directing a beam of X-rays at a sample and measuring the angles and intensities of the scattered X-rays. The smallest angle of scattering in X-ray diffraction is important because it provides information about the spacing between atoms in a material, which can reveal important structural information. X-ray diffraction has various applications, such as studying crystal structures, identifying unknown substances, and analyzing protein structures in biological systems.
  • #1
hhhmortal
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Homework Statement



A powdered sample of a simle cubic crystal with a lattice constat of 2.83 x 10^-10 m scatters X-rays of wavelength 1.54 x 10^-10 m. What is the smallest angle of scattering that will be observed from this sample?

Homework Equations



2dsinθ = nλ


The Attempt at a Solution



I simply used the equation above to calculate θ, but I wasn't sure what they mean by smallest angle of scattering what's this?


Thanks.
 
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  • #2
Is it 15.8 degrees?
 
  • #3
The smallest angle corresponds to the largest value of d.
For cubic crystal this is d100=a.
 

Related to X-ray Diffraction: Smallest Angle of Scattering

1. What is X-ray diffraction?

X-ray diffraction is a technique used to study the structure of materials by analyzing the scattering of X-rays off of the atoms within the material.

2. How does X-ray diffraction work?

X-ray diffraction works by directing a beam of X-rays at a sample and measuring the angles and intensities of the scattered X-rays. This data is then used to determine the arrangement of atoms within the material.

3. What is the smallest angle of scattering in X-ray diffraction?

The smallest angle of scattering in X-ray diffraction is the angle at which the X-rays are scattered at the smallest angle possible. This angle is dependent on the wavelength of the X-rays and the spacing between the atoms in the material.

4. Why is the smallest angle of scattering important in X-ray diffraction?

The smallest angle of scattering is important in X-ray diffraction because it provides information about the spacing between atoms in a material, which in turn can reveal important structural information about the material.

5. What are some applications of X-ray diffraction?

X-ray diffraction has a wide range of applications, including the study of crystal structures in materials, the identification of unknown substances, and the analysis of protein structures in biological systems.

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