Abstract
By applying a theorem from conformal field theory to bond percolation in two dimensions the author obtains an equation for the second moment I of bonds which doubly connect a percolation cluster: (I)=A(5 square root 3/27 pi 2)(p-pc)-2. The equation is exact as the occupancy probability p approaches the critical probability pc from either side. A is a calculable lattice dependent number which for a square lattice equals 1/2.
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