Mechanical and thermal properties of carbon linear chains encapsulated by carbon nanotubes

Linear carbon chains (LCCs) are one-dimensional materials with unique properties and restricted selection rules for phonon-phonon and electron-phonon interactions. When encapsulated by carbon nanotubes (CNTs), these LCCs find a suitable environment to keep themselves stable. In this seminar, the Raman spectroscopic signature C-band around 1850 cm$^{−1}$ from LCCs encapsulated by CNTs is monitored against pressure (P) and temperature (T) and its behavior reveals: (1) unique mechanical properties showing that the LCCs' Young's modulus, Grüneisen parameter and strain follow universal P$^{−1}$ and P$^{2}$ laws, respectively; and (2) unique thermal properties showing that the LCCs' thermal properties are well described within the Debye formalism even at room temperatures leading to unique universal relations for their internal energy, heat capacity, coefficient of thermal expansion and thermal strain in terms of the number of carbons atoms and T.