A new concept of T1-neighbors defined as non-neighboring cells linked by on
e edge is used for the analysis of the two cell correlators O-1(k, n) (aver
age number of pairs of Ic-cell and n-cell that are T1- neighbors) in two-di
mensional cellular systems. In experimental dry soap froth, the two cell co
rrelators are found to be linear in both k and n for the nearest T1 neighbo
rs. This result is the analogous version of the Aboav-Weaire law using T1-n
eighbors and reveals longer range correlation beyond the traditional neares
t neighbor analysis.