##### Latest News on Electron Energy: March – 2020

**Electron energy-loss spectroscopy in the TEM**

Electron energy-loss spectroscopy (EELS) is an analytical technique that measures the change in kinetic energy of electrons after they have interacted with a specimen. When carried out in a modern transmission electron microscope, EELS is capable of giving structural and chemical information about a solid, with a spatial resolution down to the atomic level in favourable cases. [1]

**Determination of Kilovolt Electron Energy Dissipation vs Penetration Distance in Solid Materials**

A universal curve of energy‐dissipation range vs normalized electron energy is proposed, which includes the average atomic number *Z* of the material being bombarded in the energy normalization factor. [2]

**Graph theory and molecular orbitals. Total φ-electron energy of alternant hydrocarbons**

The dependence of the Hückel total φ-electron energy on the molecular topology is shown. General rules governing the structural dependence of the φ-electron energy in conjugated molecules are derived. [3]

**Electron Energy Levels for a Finite Elliptical Quantum Wire in a Transverse Magnetic Field**

We investigate the electron ground state energy, the first excited energy and the electron density of probability within the effective-mass approximation for a finite strain elliptical wire. A magnetic field is applied perpendicular to the wire axis. The results are obtained by diagonalizing a Hamiltonian for a wire with elliptical edge. The electron levels are calculated as functions of the ellipse parameter of the wire with different values of the applied magnetic field. For increasing magnetic field the electron has its energy enhanced. The electron energy decreases as the elliptical wire size increases. [4]

**Computation of Energy Dispersion Relation for an Electron in a one Dimensional Periodic Potential Using Intel Visual Fortran 17.0 Update 3 for Windows**

Aims: To calculate the time independent Schrӧdinger’s equation for an electron in a one dimensional periodic potential so as to obtain the eigenvalues of the energy. Place and Duration of Study: Department of Physics, Bayero University Kano, Nigeria. Jan 2016 and July 2017. Methodology: In this work, Intel Visual Fortran 17.0 update 3 for windows contained in Intel Parallel Studio XE 2017 Cluster Edition for windows was used to solve the required Schrödinger’s equation with periodic potentials together with Visual Studio Community 2015 using the nearly free approximation [5]

Reference

[1] Egerton, R.F., 2008. Electron energy-loss spectroscopy in the TEM. *Reports on Progress in Physics*, *72*(1), p.016502.

[2] Everhart, T.E. and Hoff, P.H., 1971. Determination of kilovolt electron energy dissipation vs penetration distance in solid materials. *Journal of Applied Physics*, *42*(13), pp.5837-5846.

[3] Gutman, I. and Trinajstić, N., 1972. Graph theory and molecular orbitals. Total φ-electron energy of alternant hydrocarbons. *Chemical Physics Letters*, *17*(4), pp.535-538.

[4] Duan, X.Z., Wang, G.X. and Chang, C.R., 2014. Electron Energy Levels for a Finite Elliptical Quantum Wire in a Transverse Magnetic Field. *Physical Science International Journal*, pp.1400-1412.

[5] Sa’adiyya, B.B. and Abdulqadir, M.N., 2017. Computation of Energy Dispersion Relation for an Electron in a one Dimensional Periodic Potential Using Intel Visual Fortran 17.0 Update 3 for Windows. *Archives of Current Research International*, pp.1-12.