Organometallic compounds are defined by the presence of metal-carbon bonds and exhibit unique bonding characteristics that differ from ionic or classic covalent bonds. The effective atomic number and the 18-electron rule are key concepts in understanding their stability, with examples including various metal carbonyls like hexacarbonylchromium(0) and pentacarbonyliron(0). These compounds have diverse applications in areas such as catalysis, pharmaceuticals, and materials science.