Probability free-moving

In this example we will repeat the previous study but now slow down the action by reducing the free-moving probability of the ingredient to Pm = 0.5. Repeat the same calculations as in Study 2.1a, but now using 100 iterations as the reference time. In this case plot d) against for = 0, 10, 20, 30,..., 100. Again, comment on your results. How does d) after 60 iterations compare with the corresponding result from Study 2.1a above Explain any difference. 

The first rule to choose is the probability that each ingredient will move, the free-moving probability Tm. In this study we shall choose Pm = 1-0, so that the ingredients move during every iteration for which movement is possible. The reader can experiment with this rule by selecting different values, as explained in Chapter 10. 

When /(AB) = 1, and all adjacent j cells to the occupant are empty, the probability of moving in any direction is 0.25 of its free movement probability. This reduced joining parameter agrees with the intuitively reasonable assumption that any occupant should not be biased on any direction (unless gravity is considered). 

These tetreihedra are tied together at the corners so that a silicate "backbone" forms the structure. The metal cations form "bridges" between backbone-layers and are much more free to move. However, it is well to note that a small amount of silicate does move, but the exact nature of the diffusing specie cannot be quantitatively defined (It may depend upon the nature of the compounds being formed. Most probably, the diffusing specie is actually SiOn but the charge of each actual specie may vary). In... 

Y, and Z are connected by bonds of fixed length joined at fixed valence angles, that atoms W, X, and Y are confined to fixed positions in the plane of the paper, and that torsional rotation 0 occurs about the X-Y bond which allows Z to move on the circular path depicted. If the rotation 0 is "free such that the potential energy is constant for all values of 0, then all points on the circular locus are equally probable, and the mean position of Z, i.e., the terminus of , lies at point z. The mean vector would terminate at z for any potential function symmetric in 0 for any potential function at all, except one that allows absolutely no rotational motion, the vector will terminate at a point that is not on the circle. Thus, the mean position of Z as seen from W is not any one of the positions that Z can actually adopt, and, while the magnitude ll may correspond to some separation that W and Z can in fact achieve, it is incorrect to attribute the separation to any real conformation of the entity W-X-Y-Z. Mean conformations tiiat would place Z at a position z relative to the fixed positions of W, X, and Y have been called "virtual" conformations.i9,20it is clear that such conformations can never be identified with any conformation that the molecule can actually adopt... 

---