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

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The discussion clarifies that the notation cm^{-3} indicates atom density by representing the number of atoms per cubic centimeter. Specifically, a silicon crystal is doped with 1 x 10^18 atoms of antimony per cubic centimeter, which is crucial for calculating semiconductor operation. The use of cm^{-3} signifies a concentration, as it denotes the number of atoms in a three-dimensional space. The confusion about cubic centimeters arises from the understanding of exponents, where cm^{-3} is equivalent to 1/cm^3. This notation is essential for accurately describing doping levels in materials.
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"a silicon cristal is doped with 1000000000000000000 cm^{-3} atoms of antimon"

how does cm^{-3} 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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