We found that magnetic ground state of one-dimensional atomic chains of carbon-transition metal compounds exhibit half-metallic properties. They are semiconductors for one spin-direction, but show metallic properties for the opposite direction. The spins are fully polarized at the Fermi level and net magnetic moment per unit cell is an integer multiple of Bohr magneton. The spindependent electronic structure can be engineered by changing the number of carbon and type of transition metal atoms. These chains, which are stable even at high temperature and some of which keep their spin-dependent electronic properties even under moderate axial strain, hold the promise of potential applications in nanospintronics. PACS numbers: 61.46.+w, 75.50.Cc, 71.20.Be Spin-dependent electronic transport has promised revolutionary applications using giant-magneto-resistance in magnetic recording and nonvolatile memories [1,2,3]. Half-metals (HM) [4,5] are a class of materials, which exhibit spin-dependent electronic properties relevant to spintronics. In HMs, due to broken spin-degeneracy, energy bands E n (k, ↑) and E n (k, ↓) split and each band accommodates one electron per k-point. Furthermore, they are semiconductor for one spin direction, but show metallic properties for the opposite spin direction. Accordingly, the difference between the number of electrons of different spin-orientations in the unit cell, N = N ↑ − N ↓ , must be an integer and hence the spin-polarization at the Fermi level,. This situation is in contrast with the ferromagnetic metals, where both spindirections contribute to the density of states at E F and spin-polarization P becomes less than 100%. Even though three-dimensional (3D) ferromagnetic Heusler alloys and transition-metal oxides exhibit HM properties [6], they are not yet appropriate for spintronics because of difficulties in controlling stoichiometry and the defect levels destroying the coherent spin-transport. Zinc-blende (ZB) HMs with high magnetic moment µ and high Curie temperature T c > 400K (such as CrAs, and CrSb in ZB structure) have been grown only in thin-film forms [7]. More recently, it has been predicted that four new ZB crystals can be HM at or near their respective equilibrium lattice constants [8].In this letter, we report that very simple and stable one-dimensional (1D) structures, such as linear atomic chains of carbon-transition metal compounds, i.e. C n (TM), show half-metallic properties. The prediction of half-metallic behavior in 1D atomic chains is new and of fundamental interest, in particular in the field of fermionic excitations with spin degree of freedom. Besides, the present finding may lead to potential applications in the rapidly developing field of nanospintronics, such as tunnelling magnetoresistance, spin valve, and nonvolatile magnetic devices.In earlier transport studies, the spin-direction of conduction electrons was generally disregarded, in spite of the fact that spin orientation of electrons decays much slower than their momentum [3]. Magnetic ground s...