Author(s)

Haiduke Sarafian

The Pennsylvania State University, University College, York, PA, USA.

Three point-like massive particles/atoms are connected with three springs forming an equilateral triangle replicating a prototype triatomic molecule. The triangle is inscribed within a stationary frame via three additional springs confining the vibrations of the molecule to a 2D space. It is the objective of this research flavored investigation to seek the normal vibrational modes for this three-body six-spring structure. The entire analysis including symbolic, numeric, and graphics is carried out by adapting a suitable Computer Algebra System (CAS), Mathematica. For a comprehensive understanding, the frequency of the normal mode is used for a visual animation; an actual mechanical replica of the “molecule” for the scenario on hand is fabricated.

Triatomic Mechanical Molecule, Vibrating Normal Modes, Computer Algebra System, Mathematica

Sarafian, H. (2022) Vibrational Normal Modes of an Equilateral Triangular Mechanical Molecule. World Journal of Mechanics, 12, 57-64. doi: 10.4236/wjm.2022.125005.