A process for producing a compound having the structure: wherein A is a first polypeptide component of the compound; wherein C is a second polypeptide component of the compound, which polypeptide component has at its N-terminus a sequence of amino acids selected from the group consisting of a cysteine, selenocysteine, CP, CPXCP (where X = P, R, or S), CDKTHTCPPCP, CVECPPCP, CCVECPPCP and CDTPPPCPRCP, and comprises consecutive amino acids which (i) are identical to a stretch of consecutive amino acids present in a chain of an F c domain of an antibody; and (ii) bind to an F c receptor, wherein B is a chemical structure linking A and C; wherein the dashed line between B and C represents a peptidyl linkage between B and the N-terminus of C; wherein the solid line between A and B represents a nonpeptidyl linkage comprising the structure: or wherein R 1 is H or is part of an additional structure that is a cyclic structure, wherein the additional cyclic structure comprises R 1 or a portion of R 1, and may also comprise R 2 or a portion of R 2, and the carbon between R 2 and the alkene double bond; which comprises the following steps: a) obtaining an A' which comprises A or a derivative of A, and a first terminal reactive group; b) obtaining a B' which comprises B or a derivative of B, a second terminal reactive group and a third terminal reactive group, wherein the second terminal reactive group is capable of reacting with the first terminal reactive group to form a non-peptidyl linkage; c) obtaining a C' which comprises C or a derivative of C, and a fourth terminal reactive group, wherein the fourth terminal reactive group is capable of reacting with the third terminal reactive group to form a peptidyl linkage; and d) reacting A', B' and C' in any order to produce the compound. wherein A is a first polypeptide component of the compound; wherein C is a second polypeptide component of the compound, which polypeptide component has at its N-terminus a sequence of amino acids selected from the group consisting of a cysteine, selenocysteine, CP, CPXCP (where X = P, R, or S), CDKTHTCPPCP, CVECPPCP, CCVECPPCP and CDTPPPCPRCP, and comprises consecutive amino acids which (i) are identical to a stretch of consecutive amino acids present in a chain of an F c domain of an antibody; and (ii) bind to an F c receptor, wherein B is a chemical structure linking A and C; wherein the dashed line between B and C represents a peptidyl linkage between B and the N-terminus of C; wherein the solid line between A and B represents a nonpeptidyl linkage comprising the structure: or wherein R 1 is H or is part of an additional structure that is a cyclic structure, wherein the additional cyclic structure comprises R 1 or a portion of R 1, and may also comprise R 2 or a portion of R 2, and the carbon between R 2 and the alkene double bond; which comprises the following steps: a) obtaining an A' which comprises A or a derivative of A, and a first terminal reactive group; b) obtaining a B' which comprises B or a derivative of B, a second terminal reactive group and a third terminal reactive group, wherein the second terminal reactive group is capable of reacting with the first terminal reactive group to form a non-peptidyl linkage; c) obtaining a C' which comprises C or a derivative of C, and a fourth terminal reactive group, wherein the fourth terminal reactive group is capable of reacting with the third terminal reactive group to form a peptidyl linkage; and d) reacting A', B' and C' in any order to produce the compound. a) obtaining an A' which comprises A or a derivative of A, and a first terminal reactive group; b) obtaining a B' which comprises B or a derivative of B, a second terminal reactive group and a third terminal reactive group, wherein the second terminal reactive group is capable of reacting with the first terminal reactive group to form a non-peptidyl linkage; c) obtaining a C' which comprises C or a derivative of C, and a fourth terminal reactive group, wherein the fourth terminal reactive group is capable of reacting with the third terminal reactive group to form a peptidyl linkage; and d) reacting A', B' and C' in any order to produce the compound.