Atomic % & Weight % of Phosphorous in Solid Solution

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Discussion Overview

The discussion revolves around calculating the atomic percent and weight percent of phosphorus in a solid solution of silicon, specifically in the context of semiconductor doping. Participants explore the implications of the solid solution and the necessary information to perform the calculations.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant expresses uncertainty about how to obtain the density of silicon needed for calculations, given that it is a solid solution.
  • Another participant suggests that the context of phosphorus in silicon likely relates to semiconductor doping and proposes using the cell structure and lattice parameter to determine density.
  • A different viewpoint suggests using a reliable source for the density of silicon, arguing that the low amount of phosphorus would not significantly alter the density.
  • One participant notes that their textbook does not cover doping or the concepts of atomic percent and weight percent, questioning whether they can simply look up the density of silicon as a solid.
  • Another participant confirms that temperature does not significantly affect the density of solids, although it can change slightly.
  • A later reply indicates that the original poster plans to use a density in g/cm³ and convert it to atoms/m² to calculate the desired percentages.

Areas of Agreement / Disagreement

Participants generally agree that the density of silicon can be obtained from reliable sources and that temperature does not significantly impact the density for this problem. However, there is no consensus on the best approach to calculate the atomic and weight percentages, as some participants focus on doping while others do not.

Contextual Notes

There are limitations regarding the assumptions made about the density of silicon and its potential changes with temperature, as well as the lack of coverage of relevant concepts in the original poster's textbook.

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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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