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

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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.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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