POWER LOSS IN ONE DIMENSIONAL CARBON NANO TUBES AND HEAT EVOLVED IN CARBON NANO TUBES VARIES AS THE SQUARE OF THE LENGTH

Abstract

The field of carbon nano tubes (CNT) is an active and promising area of research theoretically as well as experimentally In fact, the band structure of CNT determines its conductivity and in carbon nano tubes the structural pattern affects the conductivity type i.e the conductivity of CNT depends upon how a graphene sheet is rolled up. So, CNT can be made to behave as conductor as well as semiconductor [. It is well established fact that the arm chair wrapping have been produced and exhibit metallic behavior with an intrinsic resistivity which increases approximately linearly with temperature. In this paper the quantized value of the resistivity has been used with special reference to one dimensional CNT with potential well of infinite depth, in an attempt to review the linear temperature dependence of quantum state (n) in order to calculate the power loss in CNT due to flow of current. Finally, three striking results are obtained. (i) Heat lost in the tube is dependent on temperature (ii) It is also achieved that lost of heat varies directly as the square of the length of the tube.(iii) Finally, it is shown that  negative temperature gradient of power is equal to some constant times the temperature co-efficient of resistance.