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A Monte Carlo approach to simulate the transport and energy deposition of low energy electrons (E0 ≤ 10 keV) in liquid water is presented. The elastic scattering of electrons is described by Mott cross section, which is derivedfrom the relativistic wave equation of Dirac. The inelastic scattering model of electrons is b~ed on the dielectric response theory with exchange effect included. A new method of sampling various inelaltic scattering events is proposed in the simulation. Using the approach stated, the spatial distribution of inel~tic scattering events and energy deposition of electrons in liquid water are computed and the results are compared with other theoretical studies.