This textbook introduces the molecular physics and quantum chemistry needed to understand the physical properties of molecules and their chemical bonds. It follows the authors' earlier textbook "The Physics of Atoms and Quanta" and presents both experimental and theoretical fundamentals for students in physics and physical and theoretical chemistry. The new edition treats new developments in areas such as high-resolution two-photon spectroscopy, ultrashort pulse spectroscopy, photoelectron spectroscopy, optical investigation of single molecules in condensed phase, electroluminescence, and light-emitting diodes. From reviews of the first edition-- "...The molecular physics text is a further example of the unique cooperation between a pioneer theoretician and a recognized experimentalist..."International Journal of Quantum Chemistry