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Double periodicity

What remains is the 1-dimensional antiferromagnetic coupling via the one lobe of the half-occupied dx -y orbital in the c-direction of the KCuFs-structure. In this direction the two antiparallel spin orientations within each chain alternate with the double periodicity of the crystallo-... [Pg.70]

The problem of tridymite polymorphism has not yet been completely solved it is complicated in particular by the formation of solid solutions, and by the defective structure. An ideal defect-free tridymite should have a structure composed of Si04 tetrahedra layers of double periodicity (ABAB), whereas cristobalite consists of layers having ABCABC periodicity. According to Florke, real tridymite and cristobalite crystals contain both types of structures. Tridymite is then a strongly defective cristobalite, and the stabilizing cations do not have a precisely defined position in the structure. [Pg.224]

Mathematical models of the reaction yield various solutions. Some of the solutions obtained are One singular point, 3 singular points, oscillating limit cycle, double periodic oscillations, chaotic oscillations. [Pg.15]

Zhabotinskii and his colleagues, also Marek and Svobodova (1973) recognized the double periodic solutions, which were further applied by Boissonade in studying the Briggs-Rauscher oscillations, see Section III.B, Fig. III.9. [Pg.15]

Fig. Ill. 9. Double periodic oscillations, a (After Zhabotinskii (1964-2), b (After Marek and Svobodova (1975)... Fig. Ill. 9. Double periodic oscillations, a (After Zhabotinskii (1964-2), b (After Marek and Svobodova (1975)...
Dynnik and Sel kov proposed the following reaction scheme which leads to double periodic solutions ... [Pg.33]

If we continue the analj is, the roots of double periodicity will become unstable and the cycle of period 2 will bifiircate to a cycle of period 4. The stability analysis shows that this bifurcation takes place at the value i+Ve = 3,4495. It becomes increasingly difficult to continue the analytical study while the numerical solutions are straightforwardly obtained from a pocket calculator. [Pg.28]

At energies (mostly) above Ep we find a set of six bands corresponding to the antibonding hybrids of the p orbitals of the two B1 atoms In the unit cell with the 02 and 03 p states. These bands form electron pockets near the L point and at the midpoint between F and Z (which will be referred to as H). Their dispersion across the BZ Is quite different (note their double periodicity) from that of the Cu-0 dpa bands, as a consequence of the different bonding character (ppa versus dpa) and local coordination (rock-salt versus perovsklte-llke). The doubly periodic dispersion of Bl-0 ppo bands can be understood on the basis of simple tight-binding arguments. [Pg.72]

The hectic pace at which modern science is advancing is broadly reflected in the fact that its literature references have a doubling period of about a decade, and the pace of this progress is being further accelerated with time. The phenomenal march of science thus holds out a challenge to our own and other developing countries which are late starters in the field, because if they want to catch up with scientific developments on the international level, their progress wil have to be at a vastly faster pace than in the... [Pg.347]

As a monomer, the hyper-hexagons L5 28 134 (Fig. 11.13, left and central), in the chair conformation, of which nodes represent the C28 fullerene, was used. Its corresponding co-net Ls 20 was also designed. The lonsdaleite L5 28/20 is a double periodic network, partially superimposed to the D5 20/28 net (Diudea and Nagy 201 lb). [Pg.281]

Instead of finite wire sections, infinite long wires (or narrow strips) were used that is, instead of a double periodic surface, only a single periodic one was nsed. These cannot support surface waves of the type discussed here (see Section 4.9.3). [Pg.117]

Three different routes to chaos—period-doubling, periodic-chaotic sequences, and intermittency—have been observed in the BZ reaction. Figure 8.15 shows time series for three periodic states of a period-doubling sequence, while Figure 8.16 illustrates both periodic and chaotic states from a periodic-chaotic sequence, and Figure 8.17 gives an example of intermittency. [Pg.183]

The current year-on-year growth rate is just over 8% ( 40000 new entries expected in 2010), giving a database doubling period of around nine years. Table 1 lists general CSD statistics (January 2010), showing the breakdown of entries in terms of their broad chemistry and type of study. More detailed current CSD statistics are collated from time to time (at least annually) on the CCDC website at www.ccdc.cam.ac.uk. [Pg.2266]

The core remains subcritical for a long time. Core behaviour is similar to the situation of core start-up with varying reactivity. Therefore, safety measures provided for the start-up mode, i.e., actuation of power doubling period protection, are required. As shown by the analysis, when the core is coming out of the subcritical state, minimum power doubling periods occur at the end of the transient and make up 19 s and 13 s for the reactivity coefficients of 30X10 1/°C and 60x 10 1/°C, respectively, while the reactivity increase rate is 7x QT p/s. This is an acceptable value that meets the current nuclear safety regulations. [Pg.172]

The dissociation energies of the homonuclear diatomic molecules, D (R2), were calculated from the mass spectrometrically measured ion currents and the thermal functions evaluated for the gaseous species. The error limits shown in table 1 are upper limits and include those due to experimental uncertainties and also those due to the uncertainties in calculated thermal functions. The Do(R2) values (last column, table 1) also show the double periodicity exhibited by the sublimation enthalpies. This double periodicity comes about because (1) in the thermodynamic calculations the of th rare-earth metals is needed,... [Pg.411]

The dissociation energies of these monoxides, >o(RO> g)> vary rather non-monotonically with the atomic numbers from La to Lu (fig. 1) exhibiting the double periodicity similar to the enthalpy of formation of the gaseous metal atoms. The non-monotonic variation in Dq closely parallels the variation in the... [Pg.418]


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See also in sourсe #XX -- [ Pg.2 , Pg.423 ]

See also in sourсe #XX -- [ Pg.37 , Pg.54 , Pg.65 ]




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Bifurcation period-doubling

Breaking a double bond completely periodate cleavage and ozonolysis

Double-well periodic potential

Experiments period-doubling

Fractional rotational diffusion double-well periodic potential, anomalous

Period doubling

Period doubling route

Period doubling scenario

Period-adding/doubling

Period-doubling bifurcation (flip

Period-doubling cascade

Period-doubling experimental tests

Period-doubling renormalization theory

Periodic doubling

Reverse period-doubling bifurcation

Rossler system period-doubling

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