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We measured the magnetoresistvity (MR) properties of the 1T`-MoTe2 singlecrystal under the magnetic field up to 33 T.By analyzing the Shubnikov de Haasoscillations of MR at the low temperature, single Fermi surface isrevealed.From the strong oscillatory component of the longitudinal resistance{\Delta}Rxx,a linear dependence of the Landau index n on 1/B is obtained.Theintercept of the Landau index plot is between 3/8 and 1/2.This clearly revealsa nontrivial {\pi} Berry`s phase, which is a distinguished feature of Diracfermions. Accompanied by the superconductivity observed at TC=0.1 K, 1T`-MoTe2may be a promising candidate of the topological superconductor.

1T`-MoTe2 single crystal: a possible topological superconductor