Abstract
Carbon nanotube is a novel and more explored material. In this paper, ultrasonic acoustic velocity of the carbon nanotube has been calculated along unique axis at room temperature. For the evaluations of ultrasonic properties, second and third-order elastic constants have been computed from Lennard-Jones interaction potential. Attenuation of ultrasonic waves due to phonon-phonon interaction is predominant over thermoelastic loss. Carbon nanotube shows the unique behavior with the chiral number. Chiral number not only affect the band gap and tube radius of the carbon nanotube but also affect the mechanical properties like stiffness, bulk modulus, shear modulus of the tube. The peculiar behavior is obtained at 55°. Due to their least thermal relaxation time and highest Debye average velocity. Results are also compared with other hexagonal metallic materials which present in periods and group of the periodic table. They show the optimum behavior with other hexagonal materials.
Highlights
Carbon nanotube (CNT) are cylindrical carbon molecules witch possess novel outstanding better properties which make potential useful in a wide variety of the applications [1,2]
For the evaluations of ultrasonic properties, secondand third-order elastic constants have been computed from Lennard-Jones interaction potential
On the basis of the above study, the following conclusions have been drawn: 1) Carbon nanotube are characterized by the chiral number and tube radius increase but band gap of the carbon tube decrease decreases with increasing the chiral number
Summary
Carbon nanotube (CNT) are cylindrical carbon molecules witch possess novel outstanding better properties (like mechanical, electrical, thermal and chemical properties, 100 times stronger than steel, best field emission emitter, can maintain current density more than 10−9A/cm, thermal conductivity comparable to that of the diamond) which make potential useful in a wide variety of the applications (e.g., optical nano-electronics, composite material, conducting polymers, sensor) [1,2]. An applied approach for the calculation of second and third order elastic constants of the CNTs validating the interaction potential model was calculated These nonlinear elastic constants have been used to calculate the ultrasonic velocity and attenuation of the CNTs for their characterization. Their properties were compared with other hexagonal material and optimized results were produced with comparative study
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