Anchor loop construction

C, Anchors, Molecules and Independent Quantum Species II. The Phase-Change Rule and the Construction of Loops... 

Generalizing on [12], we construct a loop by using a sequence of three elementary reactions. It is emphasized that the reactions comprising the loop must be elementary ones There should not be any other spin pairing combination that connects two anchors. This ensures that the loop in question is indeed the smallest possible one. Inspection of the loops depicted in Figure 4 shows that the H3 and H4 systems are entirely analogous. We include the H3 system in order to introduce the coordinates spanning the plane in which the loop lies, and as a prototype of all three-electron systems. 

In general, at least three anchors are required as the basis for the loop, since the motion around a point requires two independent coordinates. However, symmetry sometimes requires a greater number of anchors. A well-known case is the Jahn-Teller degeneracy of perfect pentagons, heptagons, and so on, which will be covered in Section V. Another special case arises when the electronic wave function of one of the anchors is an out-of-phase combination of two spin-paired structures. One of the vibrational modes of the stable molecule in this anchor serves as the out-of-phase coordinate, and the loop is constructed of only two anchors (see Fig. 12). 

Construction Scaling-relaxation method in CONGEN reduce random loops to fit anchors and then scale to size gradually with ABNR minimization random loops from t/ny distribution Database [114] like Jones-Thirup based on Ca positions followed by annealing in Quanta... 

With the descriptions discussed above, 3772 potential sites are constructed in the calmodulin. Their locations in the primary sequence are shown in Fig. 3. When the water position is specifically placed on the top of the plane of the pentagonal geometry, the number of the constructed sites is reduced about 70%. The majority of the constructed sites are located at the four calcium binding loops while only four anchor sites are placed out of the calcium binding loops. Besides Glu at the loop position 12, which is used as the... 

If there is no flexibihty loop between the point where the pipe is independently (rigidly) supported and the nozzle, and there are relative anchor motions, the tank nozzle and tank shell should be appropriately checked. Construction of a flexibihty loop in the pipe between the tank nozzle and the independent piping supports is always beneficial. 

---