The education of Walter Kohn and the creation of density functional theory

The theoretical solid-state physicist Walter Kohn was awarded one-half of the 1998 Nobel Prize in Chemistry for his mid-1960's creation of an approach to the many-particle problem in quantum mechanics called density functional theory (DFT). In its exact form, DFT establishes that the total charge density of any system of electrons and nuclei provides all the information needed for a complete description of that system. This was a breakthrough for the study of atoms, molecules, gases, liquids, and solids. Before DFT, it was thought that only the vastly more complicated many-electron wave function was needed for a complete description of such systems. Today, fifty years after its introduction, DFT (in one of its approximate forms) is the method of choice used by most scientists to calculate the physical properties of materials of all kinds. In this paper, I present a biographical essay of Kohn's educational experiences and professional career up to and including the creation of DFT

Local many-body effects in the optical response of narrow band solids

Issued as Notice, Annual report, Progress report and Final technical report, Project no. G-41-61

Step bunching of vicinal 6H-SiC{0001} surfaces

We use kinetic Monte Carlo simulations to understand growth- and etching-induced step bunching of 6H-SiC{0001} vicinal surfaces oriented towards [1-100] and [11-20]. By taking account of the different rates of surface diffusion on three inequivalent terraces, we reproduce the experimentally observed tendency for single bilayer height steps to bunch into half unit cell height steps. By taking account of the different mobilities of steps with different structures, we reproduce the experimentally observed tendency for adjacent pairs of half unit cell height steps to bunch into full unit cell height steps. A prediction of our simulations is that growth-induced and etching-induced step bunching lead to different surface terminations for the exposed terraces when full unit cell height steps are present.Comment: 10 pages, 12 figure

Estimated Rates of Retinal Ganglion Cell Loss in Glaucomatous Eyes with and without Optic Disc Hemorrhages

Purpose: To evaluate whether optic disc hemorrhages are associated with faster rates of estimated retinal ganglion cell (RGC) loss in glaucoma.Methods: A longitudinal observational cohort study of 222 eyes of 122 patients with glaucoma recruited from the Diagnostic Innovations Glaucoma Study (DIGS) followed for an average of 3.74 +/- 0.85 years. All subjects had optical coherence tomography and standard automated perimetry during follow up. Optic disc hemorrhages were detected by masked evaluation of stereophotographs. Rates of change in estimated numbers of RGCs were determined using a previously described method. A random coefficients model was used to investigate the relationship between disc hemorrhages and rates of change in estimated RGC counts over time.Results: 19 eyes of 18 subjects had at least one disc hemorrhage during follow up. At baseline, average estimated RGC counts in eyes with and without disc hemorrhages were 677,994 cells and 682,021 cells, respectively (P = 0.929). Eyes with optic disc hemorrhages during follow-up had significantly faster rates of estimated RGC loss than eyes without disc hemorrhages (22,233 cells/year versus 10,704 cells/year, P = 0.020). the effect of disc hemorrhages on the rates of estimated RGC loss remained significant after adjusting for confounding variables.Conclusion: Eyes with disc hemorrhages showed faster rates of RGC loss compared to eyes without disc hemorrhages. These results provide further evidence that disc hemorrhages should be considered as an indicator of increased risk for faster neural loss in glaucoma.National Institutes of Health/National Eye InstituteResearch to Prevent Blindness (New York, N.Y.)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)AlconAllerganPfizerMerckSantenUniv Calif San Diego, Hamilton Glaucoma Ctr, San Diego, CA 92103 USAUniv Calif San Diego, Dept Ophthalmol, San Diego, CA 92103 USAUniversidade Federal de São Paulo, Dept Ophthalmol, São Paulo, BrazilUniv Edinburgh, Princess Alexandra Eye Pavil, Edinburgh, Midlothian, ScotlandUniv Edinburgh, Dept Ophthalmol, Edinburgh, Midlothian, ScotlandUniversidade Federal de São Paulo, Dept Ophthalmol, São Paulo, BrazilNational Institutes of Health/National Eye Institute: EY021818National Institutes of Health/National Eye Institute: EY11008National Institutes of Health/National Eye Institute: EY14267National Institutes of Health/National Eye Institute: EY019869National Institutes of Health/National Eye Institute: P30EY022589CAPES: 12309-13-3Web of Scienc

Macular Ganglion Cell Inner Plexiform Layer Thickness in Glaucomatous Eyes with Localized Retinal Nerve Fiber Layer Defects

Purpose: To investigate macular ganglion cell–inner plexiform layer (mGCIPL) thickness in glaucomatous eyes with visible localized retinal nerve fiber layer (RNFL) defects on stereophotographs. Methods: 112 healthy and 149 glaucomatous eyes from the Diagnostic Innovations in Glaucoma Study (DIGS) and the African Descent and Glaucoma Evaluation Study (ADAGES) subjects had standard automated perimetry (SAP), optical coherence tomography (OCT) imaging of the macula and optic nerve head, and stereoscopic optic disc photography. Masked observers identified localized RNFL defects by grading of stereophotographs. Result: 47 eyes had visible localized RNFL defects on stereophotographs. Eyes with visible localized RNFL defects had significantly thinner mGCIPL thickness compared to healthy eyes (68.3 ± 11.4 μm versus 79.2 ± 6.6 μm respectively, P<0.001) and similar mGCIPL thickness to glaucomatous eyes without localized RNFL defects (68.6 ± 11.2 μm, P = 1.000). The average mGCIPL thickness in eyes with RNFL defects was 14% less than similarly aged healthy controls. For 29 eyes with a visible RNFL defect in just one hemiretina (superior or inferior) mGCIPL was thinnest in the same hemiretina in 26 eyes (90%). Eyes with inferior-temporal RNFL defects also had significantly thinner inferior-temporal mGCIPL (P<0.001) and inferior mGCIPL (P = 0.030) compared to glaucomatous eyes without a visible RNFL defect. Conclusion: The current study indicates that presence of a localized RNFL defect is likely to indicate significant macular damage, particularly in the region of the macular that topographically corresponds to the location of the RNFL defect

Asymmetric Macular Structural Damage Is Associated With Relative Afferent Pupillary Defects in Patients With Glaucoma

PURPOSE. We examined the relationship between relative afferent pupillary defects (RAPDs) and macular structural damage measured by macular thickness and macular ganglion cell-inner plexiform layer (mGCIPL) thickness in patients with glaucoma. METHODS. A cross-sectional study was done of 106 glaucoma patients and 85 healthy individuals from the Diagnostic Innovations in Glaucoma Study. All subjects underwent standard automated perimetry (SAP) and optic nerve and macular imaging using Cirrus Spectral Domain Optical Coherence Tomography (SDOCT). Glaucoma was defined as repeatable abnormal SAP or progressive glaucomatous changes on stereo photographs. Pupil responses were assessed using an automated pupillometer, which records the magnitude of RAPD (RAPD score), with additional RAPD scores recorded for each of a series of colored stimuli (blue, red, green, and yellow). The relationship between RAPD score and intereye differences (right minus left eye) in circumpapillary retinal nerve fiber layer (cpRNFL) thickness, mGCIPL, macular thickness, and SAP mean deviation (MD), was examined using linear regression. RESULTS. There was fair correlation between RAPD score and asymmetric macular structural damage measured by intereye difference in mGCIPL thickness (R-2 = 0.285, P < 0.001). The relationship between RAPD score and intereye difference in macular thickness was weaker (R-2 = 0.167, P < 0.001). Intereye difference in cpRNFL thickness (R-2 = 0.350, P < 0.001) and SAP MD (R-2 = 0.594, P < 0.001) had stronger association with RAPD scores compared to intereye difference in mGCIPL and macular thickness. CONCLUSIONS. Objective assessment of pupillary responses using a pupillometer was associated with asymmetric macular structural damage in patients with glaucoma.National Institutes of Health/National Eye InstituteResearch to Prevent Blindness (New York, NY, USA)AlconAllerganPfizerMerckSantenBrazilian National Research Council-CAPESUniv Calif San Diego, Hamilton Glaucoma Ctr, 9500 Gilman Dr, La Jolla, CA 92093 USAUniv Calif San Diego, Dept Ophthalmol, La Jolla, CA 92093 USAUniv Fed Sao Paulo, Dept Ophthalmol, Sao Paulo, BrazilUniv Edinburgh, Princess Alexandra Eye Pavil, Edinburgh EH8 9YL, Midlothian, ScotlandUniv Edinburgh, Dept Ophthalmol, Edinburgh EH8 9YL, Midlothian, ScotlandUniv Fed Sao Paulo, Dept Ophthalmol, Sao Paulo, BrazilNIH/NEI: EY021818NIH/NEI: EY11008NIH/NEI: EY14267NIH/NEI: EY019869NIH/NEI: P30EY022589CAPES: 12309-13-3Web of Scienc