IntroductionAfter the disastrous incident of thalidomide, whose two enantiomers have totally different biological effects in humans [1], there is increasing public demand for the synthesis of chiral compounds. The responsibility of synthetic chemists is to prevent a repetition of this tragedy by providing highly efficient and reliable methods of asymmetric synthesis [2].All chiral compounds have at least one stereogenic element, which is usually a stereogenic center. Nowadays, the generation of tertiary carbon-atom stereocenters (carbon atoms bearing one hydrogen atom) can be easily achieved in most cases by using the appropriate chiral auxiliary, reagent or catalyst from the vast number of synthetic approaches. However, the related approach to complex compounds bearing quaternary stereocenters is still a challenge for synthetic organic chemistry, and every asymmetric procedure for the construction of a fully substituted carbon center is of great value [3]. In fact, the simple extension of methods from the preparation of tertiary stereocenters to the preparation of quaternary ones is not straightforward; in some cases, the interval between the two could be more than ten years, and the development may involve the use of new and different approaches.One of the most frequently occurring classes of compound in nature with a heterosubstituted quaternary center [4] is the corresponding tertiary alcohols and their related amine derivatives. Among the different approaches to the synthesis of this type of compound, such as kinetic resolution, asymmetric desymmetrization, oxidation processes, electrophilic alkylation and nucleophilic addition, those that involve stereoselective C-C bond formation are of particular interest, since one C-C bond and one stereoelement are created in a single synthetic step. In the case that engages our attention, the simplest conceptual approach for the preparation of chiral tertiary alcohols, and the relate amines, is the asymmetric 1,2-addition of organometallic reagents [5] to ketones, or to the corresponding imines. However, this approach has a central problem: the structural similarity between the two substituents around the electrophilic carbonyl group and therefore the Quaternary Stereocenters: Challenges and Solutions for Organic Synthesis. Edited