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We examine the effects of the lepton number violating R parity oddinteractions, $\lambda_{ijk} $, on single production of fermion (charginos andneutralinos) and scalar (sleptons and sneutrinos) superpartners at leptoniccolliders for center of mass energies up to $500GeV - 1TeV$. The probabilityamplitudes for all the five relevant $2 \to 2$ body processes and the decaysbranching ratios for the produced superpartners are calculated at tree level. Asemi-quantitative discussion is developed within a supergravity model assuminggrand unification of gauge interactions and universal (flavor independent) softsupersymmetry breaking parameters at the unification scale. The predictionsobtained for the total and partial rates show that the single productionreactions have a good potential of observability at NLC (Next Linear Colliders)energies. For values of the R parity violating coupling constant, $\lambda_{ijk}= 0.05$, close to the current bounds, the $\tilde \chi^{\pm, 0}$reactions could probe all the relevant intervals for $\tan \beta$ and $m_0$ andbroad regions of the parameter space for $\mu$ and $M_2$, while the $\tilde \nu$ and $\tilde l $ productions could probe sneutrinos and sleptons masses up tothe kinematical limits. Using the hypothesis of a single dominant R parityviolating coupling constant, a Monte Carlo events simulation for the $ \tilde\chi^{\pm, 0} $ reactions is employed to deduce some characteristic finalstates dynamical distributions.Comment: Latex File. 31 pages. 13 postscript figures. 3 tables. Revised  versio

Systematics of single superpartners production at leptonic colliders