second-nearest neighbour BrE technical
second-nearest neighbor AmE technical

The number of neighbors, second-nearest neighbors, and third-nearest neighbors for each of the different atom positions are given in Table 1.

In the last decade or so, space probes and other forms of scientific surveillance have greatly extended our knowledge of Earth's second-nearest neighbor in the solar system.

Second-nearest neighbors in this cubic model are those that share an edge and third-nearest neighbors are those that share corners.

The still was in a small shed behind the house, where it had sat for the near twenty years since Art bought his own house and became Ed's second-nearest neighbor.