Regular replicas

With FRFE we differentiale the existence of regular and irregular replicas. A regular fractional replica is obtained from a FUFE matrix by dividing it into a number of parts divisible by two (2, 4, 6, 8, 16, etc.). The obtained replicas are respectively marked by 1/2-replica or half-replica, 1/4-replica, 1/8-replica, etc. Irregular replicas are obtained by taking, for example 3/4 and 5/8 of the FUFE matrix. 

Equation (2.173) is used for rotatable designs of second and third order when trials are replicated only in null point. In the case of a full factorial experiment or regular fractional replicas, we use ... 

Full factorial experiment and regular fractional replicas Equal replication (2.169) and (2.128)... 

Polymerization of monomers in the presence of polymem which can interact with monomers or newly formed polymers via secondary binding forces is called matrix polymerization (or template polymerization, replica polymerization) (Fig. 52). It is expected that matrix polymerization fundamentally affects the kinetic behavior and/or controls some structural details (for example, molecular weight and its distribution, tactidties, optical isomerism, etc.). However, a variation of structural details seems to be realized only when the geometry of the monomers firmly bound on the matrix polymers, which exhibit a regular arrangement of their structures, can be controlled. 

Catalyst structure may be studied by numerous and widely varying methods. Apart from the crystallographic pattern, the structure of the outer surface or of the surface layers is especially important. Unfortunately, we do not know much about the real structure of the surface. It is an important question to know to what degree the surface is a two-dimensional replica of the three-dimensional regularities and irregularities of the lattice. 

Ries and Kimball [21] have published micrographs of islands of vertically orientated acid molecules which occur at certain surface pressures in monolayers of fatty acids spread on water. Mathieson[20] examined electron micrographs of replicas of mica surfaces which had been dipped in dilute stearic acid-hexadecane solution he observed that the stearic acid was present on the surface in patches which were of varying lateral extent but only 25 A. thick. He noted in some instances a tendency toward regular alignment of particles of the shadowing metal on the surface of the acid patches. Mathieson suggests these may indicate the presence of Epstein s micelles in the monolayer. 

The second problem is that of aliasing. The sampling of the FID at equally spaced time intervals At causes replicas of the true spectrum C co) at regular intervals 2 ... 

---