Aromaticity of Heterocirculenes

This review summarizes the results on the aromaticity of a series of synthesized and hypothetical neutral heterocirculene molecules and their double charged ions. The aromaticity of heterocirculenes is a direct reflection of their electronic structure responsible for the specific optoelectronic and photophysical properties. We show how the presence of a heteroatom in the outer macrocycle affects the aromaticity of hetero[8]circulenes. In addition, we also describe the change in aromaticity and strain energy for a series of the “lower” (n < 8) and “higher” (n > 8) hetero[n]circulenes. It was demonstrated that the loss of planarity with increased strain leads to an increased antiaromaticity of the lower hetero[n]circulenes, whereas higher hetero[n]circulenes demonstrate a more pronounced aromatic nature because of the small departure from planarity of each heteroarene ring in hetero[n]circulene molecule. Finally, we discuss the aromatic nature of the first examples of π-extended hetero[8]circulenes.

Effect of the Composition in β-TCP-MCPM Bone Cement Containing Dense ß-TCP Granules

Effect of the starting compostion was studied in bone cement containg coarse b-tricalcium phosphate (b-TCP) granules which was very dense and round. With respect to the mixing ratio between b-tricalcium phosphate and monocalcium monophophate (T:M), the properties such as setting time, density and compressive strength were measured. The properties of bone cement prepared from normal powdery b-TCP was strongly dependent on the initial mixing ratio (T:M). Though the compressive strength as well as density was maximum at T:M = 6:4, small departure of compostions from T:M=6:4 resulted in drastic decrease of compresive strength. On the contrary, in the specimens from granular b-TCP, compressive strength was much less deependent on the initial mixing ratio. Range of optimum compressive strength covered from T:M=6:4 to 8:2. Therefore, granular groups provided more degree of freedom to control other properties such as setting time while maintaing its compressive strength.

Recurrent Hyperinflations and Learning

We use a model of boundedly rational learning to account for the observations of recurrent hyperinflations in the 1980’s. In a standard monetary model we replace the assumption of full rational expectations by a formal definition of quasi-rational learning. The model under learning matches some crucial stylized facts observed during the recurrent hyperinflations experienced by several countries in the 1980’s remarkably well. We argue that, despite being a small departure from rational expectations, quasi-rational learning does not preclude falsifiability of the model, it does not violate reasonable rationality requirements, and it can be used for policy evaluation.

Model of the Quark Mixing Matrix Involving its Eigenvalues

A model of the 3 × 3 Cabibbo–Kobayashi–Maskawa matrix, V, is presented in which the parameters are the eigenvalues and the components of its eigenvectors. In this model, the small departure of the experimentally determined V from being moduli symmetric (i.e. |Vij|=|Vji|) is controlled by the small difference between two of the eigenvalues. In case any two eigenvalues are equal, one obtains a moduli symmetric V depending on only three parameters. Our model gives very good fits to the available data including CP-violation. Our value of sin 2β≈0.7 and other parameters associated with the ''unitarity triangle'' [Formula: see text] are in good agreement with data and other analyses.

Consolidation in Compressible Mixtures

Comparisons between linear theories of incompressible and compressible porous media reveal two phenomena unique to phase compressibility: (1) boundary layers of fluid pressure and filtration will appear at noncontact loading surfaces in a compressible mixture, and (2) a small measure of mixture compressibility does not always imply that the transient behavior of a compressible mixture is only a small departure from that of an incompressible mixture. The relationships between the compressibility parameters of the present theory and those of Biot are given.

The Relation of Isallobaric Wind Components to the Change of Pressure over a Given Locality*

Non-Technical Summary Why cyclones deepen and fill up is one of the fundamental problems in meteorology that still largely resists theoretical treatment; but it is a matter of great practical importance because it does not seem that our daily forecasts will improve greatly until we find quantitative expressions for the factors leading to development as well as mere translation of pressure systems. Mr. Gringorten in this paper follows up a line of attack already laid down by several European investigators to see how well it may agree with reality. While he does not offer us a new principle the result is very interesting because he shows that the familiar conception of the isallobaric wind component, i.e. the small departure of the wind from the “gradient wind” which follows the isobars (except with surface friction), must play an important role in the pressure changes observed on the weather maps or the barograms every day. Qualitatively we have believed this for some time but Mr. Gringorten has computed the expected pressure change, from formulae proposed by Bjerknes and by Sutcliffe, for a particular time and place. This case was for the layers between 2000 and 8000 feet above Detroit between 7:30 p.m. Feb. 2 and 7:30 p.m. Feb. 3, 1940. The computed pressure change at 2000 feet was at the rate of 22.8 millibars in 12 hours but the observed change was only 5 mb. The practical meteorologist will not regard this as very good agreement but in view of the great difficulties in the theoretical treatment of such a problem the theoretician finds some consolation in that at least the computation gives results in the right direction. Of course, as Mr. Gringorten points out, it was obvious on Feb. 3 from the A. M. weather map that the pressure would fall at Detroit by that evening, and no one would suggest that the theory be used for forecasting.—R. G. S.