<i>Angular Momentum: Understanding Spatial Aspects in Chemistry and Physics</i>Share Icon Share Twitter Facebook Reddit LinkedIn Reprints and Permissions Cite Icon Cite Search Site Citation Richard N. Zare, William G. Harter; Angular Momentum: Understanding Spatial Aspects in Chemistry and Physics. Physics Today 1 December 1989; 42 (12): 68–70. https://doi.org/10.1063/1.2811251 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentPhysics Today Search Advanced Search
<i>Representations and Characters of Groups</i>Share Icon Share Twitter Facebook Reddit LinkedIn Reprints and Permissions Cite Icon Cite Search Site Citation Gordon James, Martin Liebeck, William G. Harter; Representations and Characters of Groups. Physics Today 1 September 1994; 47 (9): 94. https://doi.org/10.1063/1.2808641 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentPhysics Today Search Advanced Search
Rotational energy surfaces and high-<i>J</i> eigenvalue structure of polyatomic moleculesWilliam G. Harter, Chris W. Patterson|The Journal of Chemical Physics|1984 A rotational analog of the vibrational potential energy surface is introduced for describing the rotational fine structure of polyatomic molecules. Classical trajectories on rotational energy (RE) surfaces are related to quantum rotational eigenvalue structure. Interpretation of RE surfaces shows how very different types of molecules may undergo dynamical symmetry breaking and a corresponding clustering of rotational energy sublevels for high angular momentum (J&gt;10). Cluster splitting and spacing are calculated using semiclassical quantization methods. Some consequences of dynamical symmetry breaking such as mixing of nuclear spin species are discussed qualitatively.
Rotation–vibration spectra of icosahedral molecules. II. Icosahedral symmetry, vibrational eigenfrequencies, and normal modes of buckminsterfullereneDavid E. Weeks, William G. Harter|The Journal of Chemical Physics|1989 The icosahedral symmetry of molecules such as buckyball, B12H12−2, and C20H20, is analyzed using subgroup chain defined projection operators. The icosahedral analysis is used to determine the eigenvalues and eigenvectors of a classical spring mass model of buckyball. A spectrum of Raman and dipole active modes is given using the spring constants of benzene. Corresponding dipole active and Raman active normal modes are displayed stereographically. Several choices for springs constants are discussed and a comparison with spring mass systems of reduced symmetry is made.
First-principles calculation of optical properties of C_{60} in the fcc latticeW. Y. Ching, Ming‐Zhu Huang, Yong‐Nian Xu et al.|Physical Review Letters|1991 The electronic and optical properties of ${\mathrm{C}}_{60}$ in the fcc lattice have been studied by a first-principles method. It is shown that ${\mathrm{C}}_{60}$ has a low dielectric constant and an optical spectrum rich in structures; this is drastically different from diamond and graphite. The spectrum shows five disconnected absorption bands in the 1.4 to 7.0 eV region with sharp structures in each band that can be attributed to critical-point transitions. This is a manifestation of the localized molecular structure coupled with long-range crystalline order.