 These phases are distinguished by the In coverage in the different regions, and occur for certain ranges of the average In coverage.In general the change in a surface layer's structure due to a reconstruction can be completely specified by a matrix notation proposed by Park and Madden.If formula_3 and formula_4 are the basic translation vectors of the two-dimensional structure in the bulk and formula_5 and formula_6 are the basic translation vectors of the "superstructure" or reconstructed plane, then the relationship between the two sets of vectors can be described by the following equations