And carbon is not a carbon compound. It's carbon. Element number 6.
And I'll be damned before I call carbonates organic anyway. My definition of organic materials sees methane as the simplest organic molecule.
EDIT:
Organic compoundCompounds of carbonAn organic compound is any member of a large class of chemical compounds whose molecules contain carbon. For historical reasons discussed below, a few types of compounds such as carbonates, simple oxides of carbon and cyanides, as well as the allotropes of carbon, are considered inorganic. The division between "organic" and "inorganic" carbon compounds while "useful in organizing the vast subject of chemistry...is somewhat arbitrary".
I couldn't agree with this more. Division between organic and non-organic chemistry
is arbitrary at best. But if we want to use the term, might as well use it's commonly accepted definition...