Triangular periodic table

From the geometry of this triangular display, it follows immediately-if one overlooks the exceptions—that the more widely separated a pair of comonomers are in Fig. 7.2, the greater is their tendency toward alternation. Conversely the closer they are together, the greater their tendency toward randomness We recognize a parallel here to the notion that widely separated elements in the periodic table will produce more polar bonds than those which are closei together and vice versa. 

Emil Zmaczynski s Triangular Long Form Periodic Table http //140.198.18.108/periodic/triangletabie.html... 

Fig. 8 Variability of the periodic table of the elements depends on space-time curvature as shown in the frame on the left. The triangular segment defines the field of stability. The symmetriceil version on the right is conveniently mapped to the surface of a Mdbius band as in Fig. 9, but resolution is only possible in 4D projective space...

Inasmuch as Montroll did not report values of the coefficient A4 for triangular or hexagonal lattices, the above procedure was repeated for v = 3 and V = 6 (viz., the coefficients Ai through A3 were set at the Montroll values and A4 was determined to give the best fit of the data). The results are also given in Table III.4. These tabulations may be taken as the state of the art representation of (n) as a function of N for finite lattices m d — 1 subject to periodic boundary conditions. 

Ceramic monoliths have been produced in various cell densities and geometries. Table 1 is a comparison of the geometric properties of those utilized for automotive application. Automotive industry standard is mostly 400/6 sq. shaped cells and some 236/12 triangular shapes. The initial designs of 1975 were largely 200/12 but process developments over that period of time have allowed for increasing number of cells per square inch and thinner walls. These bring with the associated benefits of increased GSA, lower density and lower back pressure. 

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