Where Are the First Five Intensity Maxima for Copper in a Powder Diffractogram?

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SUMMARY

The first five intensity maxima for copper in a powder diffractogram can be determined using the Bragg equation: 2d sin(omega) = m * lambda, where lambda is 0.711 x 10^-10 m. Copper has a face-centered cubic (fcc) structure, and the distance between lattice planes (d) must be calculated to find the angles of incidence and reflection for each maximum. By setting m to values from 1 to 5, one can derive the corresponding angles for the first five maxima effectively.

PREREQUISITES
  • Understanding of the Bragg equation and its components
  • Knowledge of face-centered cubic (fcc) crystal structures
  • Familiarity with concepts of lattice planes in crystallography
  • Basic skills in trigonometry for angle calculations
NEXT STEPS
  • Calculate the lattice plane distances for copper using the fcc structure
  • Learn how to apply the Bragg equation to different materials
  • Explore the use of X-ray diffraction techniques for material analysis
  • Investigate the significance of intensity maxima in powder diffractograms
USEFUL FOR

Students in materials science, physicists studying crystallography, and researchers involved in X-ray diffraction analysis will benefit from this discussion.

Lindsayyyy
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Hi everyone

Homework Statement



I want to make a powder diffractogram of copper. Where do I expect the first five intensity maximums when the used wavelength is lambda=0,711 *10^-10 m




Homework Equations


Bragg equation
2d sin(omega)=m*lambda


The Attempt at a Solution



I think coppers structure is fcc but I have a problem finding my distance between the lattice planes because I don't know on which planes the scattering will take place.

Thanks for your help
 
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!The first five intensity maxima for copper can be found using the Bragg equation. The Bragg equation states that 2d sin(omega)=m*lambda, where d is the distance between lattice planes, omega is the angle between the incident and reflected beam, m is the order of reflection, and lambda is the wavelength. Using this equation, you can calculate the angles and distances for the first five maxima. For example, for the first maxima, m=1 and d=0.711*10^-10/2sin(omega). Once you have the distances, you can use them to calculate the angles of incidence and reflection for each maxima.
 

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