Where a is the lattice constant, E is strain energy per unit cell. The strain energy is the difference between the energy of the strained and strain-free system. The tensile stiffness is calculated by fitting the relation above the equation. The fitted plot is shown in FIG. . The value of the tensile stiffness is found to be 31.31 eV/ Å. It is worth mentioning that the linear chain of carbon atoms so-called "carbyne" shows the tensile stiffness 95.56 eV/ Å . This confirms that the value of tensile stiffness of AuNW is three-fold less than the carbyne.