The finding of reducing the dimension from threedimensional (3D) graphite to two-dimensional(2D) graphene suggests the further possibilities of lowdimensional materials. Further, several 2D materials like h-BN , SiC , phosphorene , Transitional metal dichalcogenides , MXenes have been studied theoretically and experimentally. Similarly, the Study of Low dimensional carbon allotropes zero-dimensional (0D) fullerenes ,1D nanotubes shows nobel results. Moreover, recent studies show that by reducing the size of the material, miniaturization of any technological device is possible .The 1D nanowires are a very good example of the ultimate conductor miniaturization. These nanoscale systems reveal novel electronic, optical, mechanical, and transport properties as a result of the extreme carrier confinement. They are highly demanding for technological applications due to their typical properties like negative magnetoresistance, low thermal conductivity, quantum conductance, ferromagnetism, and quantum size effects .But upon reduction of the size down to nanometric scale, the design of new electronic devices and atomic-size systems has been a challenging work in the manufacturing process. Additionally, in a transport system, the junction impedance should be optimal to obtain the maximal electric power transfer, with no loss of information. Moreover, significant progress has been made in the fabrication techniques such * shambhubhandari789@gmail.com as mechanically controllable break junction (MCBJ) , transmission electron microscopy (TEM) , and scanning tunneling microscopy(STM) . With current experimental techniques, it is now possible the synthesis of gold monoatomic chains as nano-contacts. The linear monoatomic gold nanowire(AuNW) is one of the most widely studied 1D systems. It is expected to use in nano electro-mechanical systems(NEMS), very large-scale integration(VLSI) circuits, and ultra large scale integration(ULSI) circuits . Previously, Kondo et.al experimental studied the characterization of helical multishell gold NWs . Similarly, The effects of free surface on the yielding of AuNWs were simulated by Diao et al . The density functional theory calculation of gold cluster between linear and zigzag monoatomic AuNWs is performed by Xiao et al . Recently, Jariwala et.al has reported linear temperature dependence calculations for the AuNW in different topologies using the First principle calculations .