The thermodynamics of the transformation of graphite to multiwalled carbon nanotubes

On thermodynamic equilibrium of carbon deposition from gaseous C-H-O mixtures: updating for nanotubes

Extensive literature information on experimental thermodynamic data and theoretical analysis for depositing carbon in various crystallographic forms is examined, and a new three-phase diagram for carbon is proposed. The published methods of quantitative description of gas-solid carbon equilibrium conditions are critically evaluated for filamentous carbon. The standard chemical potential values are accepted only for purified single-walled and multi-walled carbon nanotubes (CNT). Series of C-H-O ternary diagrams are constructed with plots of boundary lines for carbon deposition either as graphite or nanotubes. The lines are computed for nine temperature levels from 200°C to 1000°C and for the total pressure of 1 bar and 10 bar. The diagram for graphite and 1 bar fully conforms to that in (Sasaki K, Teraoka Y. Equilibria in fuel cell gases II. The C-H-O ternary diagrams. J Electrochem Soc 2003b, 150: A885–A888). Allowing for CNTs in carbon deposition leads to significant lowering of the critical carbon content in the reformates in temperatures from 500°C upward with maximum shifting up the deposition boundary O/C values by about 17% and 28%, respectively, at 1 and 10 bar.

The enthalpies of formation of carbon nanomaterials as a key factor for understanding their structural features

Carbon nanomaterials (CNMs), such as carbon nanotubes (CNTs), carbon nanoflakes (CNFs) and their N-doped derivatives, show sufficient correlations between structure, composition and properties.

High temperature stability of onion-like carbon vs highly oriented pyrolytic graphite

The thermodynamic stability of onion-like carbon (OLC) nanostructures with respect to highly oriented pyrolytic graphite (HOPG) was determined in the interval 765–1030 K by the electromotive force (emf) measurements of solid electrolyte galvanic cell: (Low) Pt|Cr₃C₂,CrF₂,OLC|CaF₂s.c.|Cr₃C₂,CrF₂,HOPG|Pt (High). The free energy change of transformation HOPG = OLC was found positive below 920.6 K crossing the zero value at this temperature. Its trend with temperature was well described by a 3^rd degree polynomial. The unexpected too high values of jointly to the HR-TEM, STEM and EELS evidences that showed OLC completely embedded in rigid cages made of a Cr₃C₂/CrF₂ matrix, suggested that carbon in the electrodes experienced different internal pressures. This was confirmed by the evaluation under constant volume of by the ratio for OLC (0.5 MPa K⁻¹) and HOPG (8 Pa K⁻¹) where and are the isobaric thermal expansion and isothermal compressibility coefficients, respectively. The temperature dependency of the pressure was derived and utilized to calculate the enthalpy and entropy changes as function of temperature and pressure. The highest value of the internal pressure experienced by OLC was calculated to be about 7 GPa at the highest temperature. At 920.6 K, and values are 95.8 kJ mol⁻¹ and 104.1 JK⁻¹ mol⁻¹, respectively. The surface contributions to the energetic of the system were evaluated and they were found negligible compared with the bulk terms. As a consequence of the high internal pressure, the values of the enthalpy and entropy changes were mainly attributed to the formation of carbon defects in OLC considered as multishell fullerenes. The change of the carbon defect fraction is reported as a function of temperature.

Experimental thermodynamics of high temperature transformations in single-walled carbon nanotube bundles

The thermodynamic quantities associated to the transformation of carbon in single-walled carbon nanotube (SWCNT) bundles to carbon in graphite were determined from 750 to 1015 K by a CaF2 solid electrolyte galvanic cell: (-) Mo | Cr3C2,CrF2,C'' | CaF2s.c. | Cr3C2,CrF2,C' | Mo (+). The trend with temperature of the electromotive force of the cell was found to be greatly dependent on temperature and fully reversible with it. The standard enthalpy DeltaH(T)(o) and entropy DeltaS(T)(o) changes are 7.1, 6.0, and 60.2 kJ mol(-1) and 8.6, 14.7, and 72.8 J K(-1) mol(-1) at 778, 883, and 975 K, respectively. This most likely correlates with the different arrangements and shapes of tubes that deviate from the ideal triangular closed packed structure of the SWCNT bundles. The constraints to the thermal expansion of bundles in the electrode containing them generated high internal pressures that were responsible for deformations of tube shape and lattice. Stable bundle states were formed that interconvert as a function of temperature. Comparative analyses by low angle XRD, microRaman, and HR-TEM of SWCNT bundles before and after experiments support this scenario. The cohesion energy and associated entropy changes are also reported for such states. The formation enthalpy of unbundled SWCNTs was calculated equal to 9.5 +/- 0.4 kJ mol(-1).

Fabrication of porous carbon nanotube network

We used the spin-coating method combined with ultrasonic atomization as a continuous, one-step process to generate a two-dimensional honeycomb network that was constructed from pure multi-walled carbon nanotubes.