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

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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
 
aaaaahhhhhhhhhhhhhhhh thanks