 Early analyses of emeralds and beryls by Martin Heinrich Klaproth , Torbern Olof Bergman , Franz Karl Achard , and Johann Jakob Bindheim always yielded similar elements , leading to the fallacious conclusion that both substances are aluminium silicates . Mineralogist René Just Haüy discovered that both crystals are geometrically identical , and he asked chemist Louis @-@ Nicolas Vauquelin for a chemical analysis . 
