Volume III/34 of Landolt-Boernstein summarizes our current knowledge of semiconductor quantum structures, a topic in applied condensed matter physics with steadily growing technological importance. The present subvolume 34A covers growth and structuring of semiconductor quantum structures. It contains a general introduction, and discussions of the growth and preparation of quasi-zero-dimensional structures (quantum dots), quasi-one-dimensional structures (quantum wires) and quasi-one-dimensional structures (quantum wells). Topics include relevant growth techniques and examples for group IV semiconductors, III-V semiconductor compounds, II-VI semiconductor compounds, I-VII semiconductor compounds and IV-VI semiconductor compounds.