In 1927, Pauling took a new position as an assistant professor at Caltech in theoretical chemistry. He launched his faculty career with a very productive five years, continuing with his X-ray crystal studies and also performing quantum mechanical calculations on atoms and molecules. He published approximately fifty papers in those five years, and created the five rules now known as Pauling's rules. By 1929, he was promoted to associate professor, and by 1930, to full professor. In 1931, the American Chemical Society awarded Pauling the Langmuir Prize for the most significant work in pure science by a person 30 years of age or younger. The following year, Pauling published what he regarded as his most important paper, in which he first laid out the concept of hybridization of atomic orbitals and analyzed the tetravalency of the carbon atom. At Caltech, Pauling struck up a close friendship with theoretical physicist Robert Oppenheimer, who spent part of his research and teaching schedule away from U.C. Berkeley at Caltech every year. Pauling was also affiliated to UC Berkeley as Visiting Lecturer in Physics and Chemistry from 1929 to 1934. Oppenheimer even gave Pauling a stunning personal collection of minerals. The two men planned to mount a joint attack on the nature of the chemical bond: apparently Oppenheimer would supply the mathematics and Pauling would interpret the results. Their relationship soured when Oppenheimer tried to pursue Pauling's wife, Ava Helen. When Pauling was at work, Oppenheimer came to their home and blurted out an invitation to Ava Helen to join him on a tryst in Mexico. She flatly refused, and reported the incident to Pauling. He immediately cut off his relationship with Oppenheimer. In the summer of 1930, Pauling made another European trip, during which he learned about gas-phase electron diffraction from Herman Francis Mark. After returning, he built an electron diffraction instrument at Caltech with a student of his, Lawrence Olin Brockway, and used it to study the molecular structure of a large number of chemical substances. Pauling introduced the concept of electronegativity in 1932. Using the various properties of molecules, such as the energy required to break bonds and the dipole moments of molecules, he established a scale and an associated numerical value for most of the elements – the Pauling Electronegativity Scale – which is useful in predicting the nature of bonds between atoms in molecules. In 1936, Pauling was promoted to Chairman of the Division of Chemistry and Chemical Engineering at Caltech, and to the position of Director of the Gates and Crellin laboratories of Chemistry.