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We demonstrate theoretically that Li atoms can be transferred to states of a lower principal quantum number by exposing them to a frequency chirped microwave pulse.The population transfer of Li atoms from the n＝75state to n＝70 with more than 90% efficiency is achieved by means of the sequential single-photon △n ＝-1transitions.The calculation fully utilizes all of the available orbital angular momentum I states for a given n, and the interference patte and population evolution dynamics of individual l states are analyzed in detail.Using the time-dependent multilevel approach, we describe the process reasonably well as a sequence of adiabatic rapid passages.