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We propose a scheme for implementing the deterministic quantum information splitting (QIS) of an arbitrary three-atom state in cavity QED. In the scheme, a four-atom χ-state and a three-atom GHZ state are used as quantum channel. In comparison with the QIS scheme by using the same quantum channel (Luo and Deng in Quantum. Inf. Process. 12:773, ), our scheme does not involve joint Bell-state measurements, one only needs to perform the single-atom measurements. Our scheme is not sensitive to both the cavity decay and the atom radiation, which is of importance in view of experiment. [ABSTRACT FROM AUTHOR]