Solving Solid State Physics: Max Wavelength of Po Crystal Diffraction

AI Thread Summary
To determine the maximum wavelength of radiation diffracted from a polonium (Po) crystal with a simple cubic structure, the Bragg equation, 2d sin(angle) = n*wavelength, is relevant. The key to solving the problem lies in maximizing sin(theta), which reaches its peak value of 1 when theta is 90 degrees. This means the maximum wavelength can be calculated using the crystal spacing of 3.34 Å. Understanding the relationship between the crystal structure and the diffraction conditions is essential for solving this type of solid-state physics problem. The discussion emphasizes the importance of recognizing the geometric constraints of the cubic structure in the calculation.
kel
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Homework Statement



The element Po forms a crystal with a simple cubic structure of spacing
(3.34A). What is the maximal wavelength of radiation that is diffracted from a powder of that crystal

Homework Equations


N/a, however I thought that it may well be something to do with the bragg equation i.e 2d sin(angle) = n*wavelength


The Attempt at a Solution



I had started using the bragg equation, but it's fairly obvious to see that I need to have the angle of incident/reflection also in order to find the wavelength.

As this is the first time that I have had any experience of solid state, I'm really not quite getting it - probably just me.

Could you suggest where I may be going wrong i.e. am I using the wrong equation for this question? and could you suggest a starting point.

I guess that I need to use some feature of the cubic structure in order to calculate this, but I'm a bit lost.

Thanks
Kel
 
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The question asks for the maximum wavelength and so all you have to do is think of what sin theta will give you the largest value.
 
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