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With the help of Gaia data, it is noted that in addition to the corecomponents, there are low-density outer halo components in the extended regionof open clusters. To study the extended structure beyond the core radius of thecluster ($\sim$ 10 pc), based on Gaia EDR3 data, taking up to 50 pc as thesearching radius, we use the pyUPMASK algorithm to re-determine the memberstars of the open cluster within 1-2 kpc. We obtain the member stars of 256open clusters, especially those located in the outer halo region of openclusters. Furthermore, we find that most open clusters' radial density profilein the outer region deviates from the King's profile. To better describe theinternal and external structural characteristics of open clusters, we propose adouble components model for description: core components with King modeldistribution and outer halo components with logarithmic Gaussian distribution,and then suggest using four radii ( $r_c$, $r_t$, $r_o$, $r_e$) for describingthe structure and distribution profile of star clusters, where $r_t$ and $r_e$represent the boundaries of core components and outer halo componentsrespectively. Finally, we provide a catalog of 256 clusters with structuralparameters. In addition, our study shows the sizes of these radii arestatistically linear related, which indicates that the inner and outer regionsof the cluster are interrelated and follow similar evolutionary processes.Further, we show that the structure of two components can be used to bettertrace the cluster evolution properties in different stages.

New insights into the structure of open clusters in the Gaia era