Reaction of calf a-crystallin, which consists of about 30 A and 10 B subunits, with various bisimido esters at pH 8.0-8.5 and room temperature leads to inter-subunit crosslinking. Little difference is observed in the efficiency of crosslinking by reagents of a homologous series with different lengths (from Cg to CI2). At any stage of the reaction an exponential decrease is found in the amounts of crosslinked dimer, trimer, tetramer etc., with no preference for the formation of any particular oligomer, suggesting that all subunits on the surface of the spherical a-crystallin molecule are in quasiequivalent positions.Molecular weight analysis by dodecylsulfate gel electrophoresis and reversible crosslinking show that both A and B subunits occur in an apparently constant ratio in the crosslinked oligomers, from which we infer that both types of subunits are randomly arranged on the surface of the a-crystallin molecule.Not all of the subunits can form inter-chain crosslinks, as a limiting value of about 600/, of the subunits is found in oligomeric form. A simple explanation could be a core of subunits which is inaccessible to certain chemical reagents, although other alternatives are also discussed.In recent years we have investigated various aspects of the quaternary structure of bovine a-crystallin, a major structural lens protein, with the purpose of gaining insight into its function and the developments which take place on a molecular level upon aging of this multisubunit protein [ l -61.The a-crystallin molecule has a quasi-spherical shape with a diameter of 16nm [1,2], and it is composed of about 30 A subunits (19830 M, [7]) and about 10 B subunits (20070 Mr [S]), which show nearly 60 0/, sequence homology [8]. Limited information is available concerning the quaternary structure of the protein. Since a-crystallin molecules are very large and microheterogeneous [l] it is impossible to obtain such information by X-ray crystallography. Attempts to obtain the fine structure of the protein by electron microscopy have also been unsuccessful [I, 61. Therefore, one has to rely upon indirect methods, such as small-angle X-ray scattering [2], chemical modification of specific side-chain groups [5], partial digestion with proteolytic enzymes [3,4], and partial dissociation [9]. Different orientations of A subunits are distinguished according to accessibility to thiol reagents [ 5 ] and proteolytic enzymes [3,4], whereas Previous papers in this series appeared earlier in thih journalsimilar positions for all B subunits are inferred from their susceptibility to proteolysis in vitro at the carboxyl-terminal end [4]. We have suggested a model for the quaternary structure, which is based on a core of A subunits surrounded by two different layers of A and B subunits [9].Crosslinking with bifunctional reagents can provide information about the number and arrangement of subunits in oligomeric proteins, as well as the distribution of certain amino acid side-chains near the intersubunit contact areas and the symmetry of the olig...