Atomic % & Weight % of Phosphorous in Solid Solution

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SUMMARY

The discussion focuses on calculating the atomic percent and weight percent of Phosphorous in a solid solution of silicon, given a concentration of 5x10^21 Phosphorous atoms/m^3. The user identifies the need to determine the density of silicon to solve for these percentages, recognizing that the solid solution implies a complete mixture. It is concluded that the density of silicon can be sourced from reliable references, and temperature variations are negligible for this calculation.

PREREQUISITES
  • Understanding of atomic percent (at. %) and weight percent (wt. %) calculations
  • Knowledge of solid solutions and semiconductor doping concepts
  • Familiarity with the density of elements, specifically silicon
  • Basic skills in unit conversion (g/cm3 to atoms/m3)
NEXT STEPS
  • Research the density of silicon from reliable sources
  • Learn about semiconductor doping and its effects on material properties
  • Explore detailed methods for calculating atomic and weight percentages in solid solutions
  • Study the impact of temperature on the density of solids
USEFUL FOR

Chemistry students, materials scientists, and engineers involved in semiconductor fabrication or solid solution analysis will benefit from this discussion.

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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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