Correlations between geometrical parameter

Hi correlations between geometric parameters and vibrational amplitudes... 

Correlation between geometric sizes of reaction zone and kinetic parameters of process proceeding in turbulent regime determines possibility of experimental estimation of fast chemical reaction kinetic constants as it was shown in [51-55]. 

With the aim of optimization of fast processes realization conditions under polymer synthesis it is advisable to fix the correlation between geometrical sizes of tubular turbulent apparatus of divergent-convergent design, its operation dynamics, liquid flows physical parameters and average values of turbulent mixing characteristic time in reaction zone. 

Correlation between geometric and vibrational parameters of the SO2 groups... 

Empirical correlations between geometric and vibrational parameters of relatively simple sulphone molecules have been established for a number of years (Gillespie and Robinson, 1963) and used extensively (see, e.g. Banister, Moore and Padley,... 

The key observation is that there is a systematic relationship between the geometrical parameters defining the reaction . When the Y-M bond is lengthened (Ar) under the various influences of a particular crystal and molecular environment, the rest of the tetrahedral structure (YMX angle, M-X bond length, r,) responds in a standard, predictable, way. [See, for example, the correlation shown in Fig. 5, which is discussed also by Dunitz (1979).] This must represent, in the particular circumstances, the most favourable, i.e. the minimum energy, pathway for the structural change... 

The linear parameters of the correlation between the experimental and calculated principal values of the chemical shifts using different geometrical models are given in Table 3. The correlations have been produced only for the N7-H tautomeric form, because the data for the N9-H tautomeric form is incomplete and exhibit larger experimental errors due the overlap of the resonance lines in the sample containing both tautomers. 

In the parametrization of equ. (4.68) the terms associated with the Legendre polynomials Pk(cos ab) represent that part of the angular correlation which is independent of the light beam, while the terms associated with the bipolar harmonics are due to the multipole expansion of the interactions of the electrons with the electric field vector. The link between geometrical angular functions and dynamical parameters is made by the summation indices ku k2 and k. These quantities are related to the orbital angular momenta of the two individual emitted electrons, and they are subject to the following conditions ... 

Fig. 71 shows a correlation of the mass transfer measurements in this pi-space. The measurements were performed under unsteady-state conditions by several authors in the water/air system which is a coalescent one, using the turbine stirrer (see sketch in Fig. 34) as a mixing device. The measurements cover an extreme experimental scale of p =< 1-80. The geometric parameters were broadly varied d = 0.05-3.1 m D = 0.15-12.2 m H = 0.15-6.1 m. Between B and v" the following correlation exists B = (jt/4) v". 

In contrast, correlations between egg mass of any bird species and the physical parameters influencing it, can be quite easily represented in a dimensional-analytical manner because here practically geometrically similar objects are concerned. 

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