Comprehensive Review of Exchange-Correlation Functional Methods

Ashwin Inala NCSSM Online North Carolina School of Science and Mathematics Durham, North Carolina February 25, 2017 Abstract: Density functional theory is a computational technique of using elec- tron density, not wavefunction, to predict properties of molecular systems. Over the years, many scientists, such as Pierre Hohenberg, Erwin Schrodinger, and Walter Kohn, have contributed to the fast growth of density functional theory. To find the energy of system, scientists must approximate the exchange-correlation functional. The […]

Spring Bling

Spring Bling displays multiple physics related concepts: surface tension, refraction, density, and color. Surface tension is the attraction of molecules to one another on a liquid’s surface. In Spring Bling, underneath the surface of the water all of the molecules have equal pressure pushing on them from all sides. The water molecules on the surface, however, do not have molecules above them pushing down, so they are more strongly attracted to their neighbors. This attraction […]

The SMART New Thermostat

 SMART: (Simple Manageable Adaptive Residencial Thermostat)  SECTION 1. ABSTRACT This paper presents an invention related to programmable adaptive thermostat which provides effective energy conservation on air conditioner and heater. The price of residential electricity is soaring.   Electric bills have skyrocketed in the last several years.  US Department of Energy indicated that the price of one kilowatt-hour of electricity (in nominal dollars) has increased about five times from $ 0.08/kWh in 1996 to $0.39/kWh in 2034.  Southern California Edison announced […]

An Analysis of Spatial Changes Due to Special Relativity

Abstract: This thought experiment addresses loss of volume that occurs when a three-dimensional object is contracted due to relativistic processes. Specifically we investigate the dependence of contraction due to orientation relative to direction of motion. Length contraction states that relative constant velocity will lead to a shortened distance in the direction of motion, when viewed from a separate inertial reference frame. When applied to two dimensional shapes, this results in a reduced area. The problem […]