How Does cm^{-3} Indicate Atom Density in Doped Silicon Crystals?

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Discussion Overview

The discussion centers on the representation of atom density in doped silicon crystals, specifically how the unit cm-3 indicates concentration and its implications for semiconductor operation.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • One participant questions why atom density is expressed in cm-3 instead of simply stating the total number of atoms.
  • Another participant explains that cm-3 represents a concentration, indicating the number of atoms per cubic centimeter, which is necessary for understanding semiconductor behavior.
  • A participant inquires about the use of cm-3 and expresses confusion regarding the exponent notation, questioning why it is negative.
  • A later reply clarifies that cm-3 is equivalent to 1/cm3, reinforcing that it denotes a quantity per cubic centimeter.
  • One participant expresses gratitude for the clarification provided.

Areas of Agreement / Disagreement

Participants generally agree on the interpretation of cm-3 as a measure of concentration, but there is some confusion regarding the notation and its implications.

Contextual Notes

Some assumptions about the understanding of exponents and units may be missing, which could affect clarity in the discussion.

Who May Find This Useful

Individuals interested in semiconductor physics, materials science, or those studying the principles of doping in silicon crystals may find this discussion relevant.

nhrock3
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"a silicon cristal is doped with 1000000000000000000 [tex]cm^{-3}[/tex] atoms of antimon"

how does [tex]cm^{-3}[/tex] represents a number of atom

why not just say
"a silicon cristal is doped with 1000000000000000000 atoms of antimon"
 
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That's a concentration. There are 1 x 10^18 atoms of antimony per cubic cm. You need doping level (concentration) in order to calculate semiconductor operation.
 
why cubic cm is cm with power of -3
and not power +3
?

cubic is power +3
 
It is! If you know exponents, cm^-3 is the same thing as 1/cm^3. Something per cubic cm, as we say.
 
aaaaahhhhhhhhhhhhhhhh thanks
 

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