Analytical expressions for dispersion, effective masses of carriers, and densities of states for the free cumulene, polyyne, and 1D structures AB, AB2, and ABC are obtained in the tight tight-binding approximation by the Green's function method. It is demonstrated that the densities of states of all considered structures are characterized by root divergences as the chemical potential approaches the boundaries of the continuous spectrum of these structures. The experimental and theoretical prerequisites for the possibility of fabrication long carbon chains on the grooved faces of d-metals are discussed. The influence of the substrate on the spectral characteristics and density of states of one-dimensional structures is estimated. Assuming the conductivity of these structures to be diffusive, expressions for the Seebeck coefficient and the thermoelectric power factor are obtained for two variants of the scattering time approximation in the Boltzmann equa-tion. The experimental and theoretical prerequisites for the possibility of formation long carbon chains on the grooved faces of d-metals are discussed. The influence of the substrate on the spectral characteristics and density of states of one-dimensional struc-tures is estimated. Keywords: cumulene, polyyne, 1D structures AB, AB₂, ABC, Seebeck coefficient, thermoelectric power factor.

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