Novel stable three-dimensional (3D) configurations of metallic carbon, namely T6- and T14- carbon, have attracted an extensive amount of interest than previously proposed 3D metallic carbon phases owing to numerous applications of metallic carbon in microprocessors, nano devices and electronic circuits. Thus, the actual study is motivated tends determining the vibrational characteristics of T6- and T14-carbon with interlocking hexagons using molecular dynamics (MD) simulations. To this end, the natural frequency of the simulated models, i.e. beamlike and plate-like T6- and T14-carbon are obtained. Moreover, the influence on the vibrational behavior of T6- and T14-carbon of the different geometrical parameters such as various lengths, widths and square cross-section areas is investigated. The results illustrated that the geometry of T6- and T14-carbon, especially in the structures with shorter lengths has a significant effect on the natural frequency. In a specific length, the natural frequency of T14-carbon is obtained more than that of T6-carbon. The natural frequency of models increases as the square cross-sectional area in the constant length increases. Moreover, a slightly change is observed in the natural frequency of plate-like structures by increasing the width of the cross-section area.
