After showing how a double-minimum potential generates one-dimensional bonding, Professor McBride moves on to multi-dimensional wave functions. Solving Schrödinger's three-dimensional differential equation might have been daunting, but it was not, because the necessary formulas had been worked out more than a century earlier in connection with acoustics. Acoustical "Chladni" figures show how nodal patterns relate to frequencies. The analogy is pursued by studying the form of wave functions for "hydrogen-like" one-electron atoms. Removing normalizing constants from the formulas for familiar orbitals reveals the underlying simplicity of their shapes.
This is the first semester in a two-semester introductory course focused on current theories of structure and mechanism in organic chemistry, their historical development, and their basis in experimental observation. The course is open to freshmen with excellent preparation in chemistry and physics, and it aims to develop both taste for original science and intellectual skills necessary for creative research.
As one of the world's great universities, Yale traces its roots back to the early 1640s when colonial clergyman sought to establish a school in order to continue the tradition of European education within the Americas. Yale has now grown to educate over 11,000 students from over 100 countries on a 310-acre campus in New Haven, Connecticut. Within the school's 260 buildings are over 2,000 undergraduate programs in 65 departments taught by a distinguished faculty. As Academic Earth's first partner school, Yale has been a leader within the space of OpenCourseWare by consistently delivering on its esteemed mission to expand access to educational materials for all who wish to learn.