A Schrock catalyst typically involves a metal center, usually molybdenum or tungsten, bonded to alkylidene ligands. The general formula can be represented as M(=CHR)(=NR')(OR'')2, where M is the metal center, R and R' are organic groups, and OR'' represents an alkoxide or aryloxide ligand. This specific configuration allows the catalyst to engage in metathesis reactions with high efficiency and selectivity.