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We studied the effect of the alloy-disorder-scattering on the electron transport in a quasi-one-dimensional semiconductor. Performed were analytical calculations of the alloydisorder-limited momentum relaxation time for carrier scattering in a cylindrical quantum wire using modeling wave functions, when the transverse part of the carrier wave function is taken as a Bessel function. It is found that the one-dimensional mobility is significantly greater than two-dimensional one. It is shown thatdoi:10.15407/spqeo5.04.347 fatcat:4kky5o62nzejxlwkj5vkbunara