The majority of all knowledge concerning atoms molecules and solids has been derived from applications of group theory. Taking a unique applications-oriented approach this book gives readers the tools needed to analyze any atomic molecular or crystalline solid system. Using a clearly defined eight-step program this book helps readers to understand the power of group theory what information can be obtained from it and how to obtain it. The book takes in modern topics such as graphene carbon nanotubes and isotopic frequencies of molecules as well as more traditional subjects: the vibrational and electronic states of molecules and solids crystal field and ligand field theory transition metal complexes space groups time reversal symmetry and magnetic groups. With over 100 end-of-chapter exercises this book is invaluable for graduate students and researchers in physics chemistry electrical engineering and materials science. Language: English