Atomic % & Weight % of Phosphorous in Solid Solution

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To calculate the atomic and weight percent of phosphorus in a solid solution of silicon given a concentration of 5x10^21 phosphorus atoms/m^3, the density of silicon can be sourced from reliable references, as the problem does not provide specific details on doping or temperature effects. The density of silicon is assumed to remain relatively constant, allowing for straightforward calculations. The user acknowledges that they initially overcomplicated the problem but will now proceed with the density value to derive the necessary percentages. Temperature is not a significant factor for this calculation, as solid densities do not vary greatly with temperature changes. Ultimately, the solution will involve converting the density to appropriate units for accurate calculations.
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Homework Statement


Given: 5x10^21 Phosphorous atoms/m^3 in solid solution in silicon

Find: atomic percent and weight percent of Phosphorous atoms

The Attempt at a Solution


I know how to solve for at. % and wt. % when given two values, I am not sure how to get the second value given the mixture is a "solid solution"

Do i have enough information to solve this?

Solid solution means that it is completely mixed, but how would that lead me to a density of silicon that I could used to solve for at.% and wt.%?
 
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phosphorous in silicon...

this sounds like semiconductor doping to me
without any other information given I would assume this is the case, therefore I would decide the density of silicon by its cell structure and lattice parameter
 
Or just take density from any reliable source listing densities of elements. Amount of P is low enough to not change the density substantially.
 
My book has nothing to do with "Doping" and my class has not covered this. My book actually, does not even cover at. % or wt. %.

So I could just look up the density of silicon in as a solid and calc from there? Temperature does not matter here? (assuming that it doesn't, since the problem does not say)
 
Temperature doesn't matter - much. Density of solids doesn't change significantly with temperature (doesn't mean it doesn't change at all).
 
thanks guys, looks like i just made this problem a bit more difficult than it had to be. I am going to use a density in g/cm^3 and convert it to atoms/m^2 and calculate at.% and wt. % from there.
 

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