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The interaction between the atmosphere and the underlying solid mantle is one of the most important sources of changes in all three components of the Earth's rotation vector on different time scales. In this paper the NCEP/NCAR reanalysis time series of four times daily atmospheric effective angular momentum (EAM) estimates is used to investigate some selected aspects of the atmospheric influence on Earth rotation. Emphasis is placed on the controversial features which were difficult or impossible to study using the operational EAM data, such as excitation of the free oscillations in polar motion, the Chandler wobble (CW) and the free core nutation (FCN), or the roles of diurnal and semidiurnal atmospheric tides and atmospheric normal modes in the rotational dynamics of the Earth.