Effective mass (m*) is defined as: where x, y, z are the directions in the reciprocal Cartesian space (2π/A), En(k) is the dispersion relation for the n-th electronic band. The explicit form of the ...

Abstract: Based on the transmittance matrix (T-matrix) approach, an efficient and stable rigorous coupled-wave analysis (RCWA) method for ultrathin multilayer gratings without solving eigenvalues is ...

A bug was recently identified in the ModeMap.py script whereby normal-mode coordinates were scaled internally by 1/sqrt(N a), leading to U(Q) curves that were inconsistent with the harmonic mode ...

Numerov’s numerical method is developed in a didactic way by using Python in its Jupyter Notebook version 6.0.3 for three different quantum physical systems: the hydrogen atom, a molecule governed by ...

According to mathematical legend, Peter Sarnak and Noga Alon made a bet about optimal graphs in the late 1980s. They’ve now both been proved wrong. It started with a bet. In the late 1980s, at a ...

An Alternating Group Explicit (AGE) iterative method with intrinsic parallelism is constructed based on an implicit scheme for the Regularized Long-Wave (RLW) equation. The method can be used for the ...

Soil-rock mixture is a complex multi-phase composite geotechnical material, and its strength is determined by the physical properties of constituent multi-phase materials and their coupling mechanical ...

Chemistry, mathematics and physics are central to our understanding of nature. Physics explores the fundamental laws of mechanics, electromagnetism, quantum mechanics and relativity. Chemistry studies ...