Book excerpt: Research on nanomaterials and their applications has become a trending area in various fields of study and practice. Its properties and abilities open a variety of scientific advancements that weren’t possible in past years. One specific area of research that is benefiting from the implementation of nanotechnology is the study of higher-dimensional compounds that include metallic atoms and other polytypes. There is vast potential in the study of how nanomaterials are currently being used for producing clusters in higher dimensions of space. Nanotechnologies and Clusters in the Spaces of Higher Dimension: Emerging Research and Opportunities provides emerging research exploring the theoretical and practical aspects of the production of intermetallic clusters in high dimensional spaces using nanotechnology. Featuring coverage on a broad range of topics such as intermetallic compounds, incident conservation law, and applied mathematics, this book is ideally designed for practitioners, scientists, engineers, researchers, educators, physicists, mathematicians, students, and academicians seeking current research on the use of nanomaterials in interdimensional science.