The input mobility of an infinite circular cylindrical elastic shell filled with fluid

The force input mobility of an infinite elastic circular cylindrical shell filled with fluid is derived by using the spectral equations of motion. Mobilities are evaluated and their physical interpretations are discussed for a steel shell of thickness $\text{h}\text{a}\text{= 0·05}$ filled with water and vibrating in the n = 0, 1 and 2 circumferential modes. The results are subsequently used to analyze the related situations of wave transmission through a radial ring constraint and the far field vibrational energy distributions between the contained fluid and the shell wall for line and point driving forces.     

Electronic structure of solid state tris(1,3-diphenyl-1,3-propanedionato)aquoeuropium(III)

Single crystal orthoaxial absorption spectra are reported for tris(1,3-diphenyl-1,2-propanedionato)aquoeuropium(III) at ambient temperature and 77 K. The hypersensitive ⁷F_o→⁵D₂ and magnetic/electric dipole forbidden ⁷F_o→⁵D_o transitions are found to be unusually intense. Polarizations and absolute oscillator strengths are determined for all observed transitions from the ground state at 77 K.     

IR-Untersuchungen über die Wassersorption an polymorphen ZrO2-Produkten

Ohne Zusammenfassung     

Nuclear magnetic resonance pulse sequence and discrimination of high- and low-fat tissues

Signal size compared to independently measured T1 is described for various pulse sequences on the Aberdeen Mk II nuclear magnetic resonance imager. The ability of these sequences to discriminate between certain tissue types, and in particular between adipose tissue and muscle, is discussed. Inversion recovery, with a t interval of 200 ms, gives the best discrimination for this purpose, with a contrast ratio of 6 between fat and muscle. Other image types, and especially T1, give better contrast for low-lipid soft tissue such as liver and spleen.     

Flow birefringence of concentrated polymer solutions in two-dimensional flows

The results of flow birefringence measurements are reported for polymer solutions of moderate concentration subjected to a wide range of two-dimensional flows. These flows were generated in a four-roll mill which enables one to systematically vary the ratio of the vorticity to the rate of strain in the flow while holding the velocity gradient constant. It is shown that steady-state birefringence data collected over a wide range of flow types can be correlated against the eigenvalue of the velocity gradient tensor, in agreement with criterion for strong and weak flows from model calculations. Transient birefringence measurements in which purely extensional flows were started from rest are also reported. It was observed that the birefringence went through a pronounced overshoot in time for two different polymer/solvent systems. Flow induced increases in the solution turbidity were also observed and the increased turbidity remained constant over a period of many hours after extensional flows were arrested. The birefringence, on the other hand, decayed to zero almost immediately after the flows were stopped. These changes in the turbidity suggest that crystallization of the polymer was occurring. The qualitative results of experiments are compared to recent network model calculations using the theory of Yamamoto for concentrated polymer systems. It is found that this model can predict qualitatively many of the experimental observations if the function describing the breakage of polymer chain entanglements is allowed to depend on the conformation of the polymer segments bridging the entanglements. In particular, this dependency of the entanglement breakage on the conformation of the network segments leads to a predicted overshoot of birefringence when purely extensional flows are started from rest. It is also demonstrated through this model that birefringence data taken over a wide range of flow types can be used to estimate the degree to which the network deforms affinely with the flow field.     

EXHAUSTIBLE RESOURCES,LEARNING, AND THE THEORY OF THE SECOND BEST

We formulate and characterize the solutions to optimal control models of social welfare maximization in a resource industry composed of two parts — conventional, with unit cost that increases with cumulative production, and backstop, whose unit cost decreases with cumulative production, due to learning. Since marginal cost pricing leads to losses in backstop operations, we consider three “second best” constraints that ensure non-negative profits. These constraints introduce distortions away from marginal cost pricing. Two constraints cause a discontinuous upward jump in price at the time of transition from conventional to backstop, and a supply side distortion-violation of cost minimization to meet demand.     

The X-ray crystal structure of a 1:1 complex between 1,3:1′, 3′:4,6:4′,6′-tetra-O-methylene-2,2′:5,5′-bis-O- oxidiethylenedi-D-mannitol and water

In the crystalline complex referred to in the title, the host molecule $\text{DD}$-$\text{1}$ has crystallographic C₂ symmetry with the hydrogen bonded guest water molecule straddling the two-fold axis.     

Succinct synthesis of beta-amino acids via chiral isoxazolines

beta-Amino acids are important synthetic targets due to their presence in a wide variety of natural products, pharmaceutical agents, and mimics of protein structural motifs. While beta-amino acids containing geminal substitution patterns have enormous potential for application in these contexts, synthetic challenges to the stereoselective preparation of this class of compound have thus far limited more complete studies. We present here a straightforward method employing chiral isoxazolines as key intermediates to access five different beta-amino acid structural types with excellent selectivity. Of particular note is the use of this approach to prepare highly substituted cis-beta-proline analogues. The ready access to these diversely substituted compounds is expected to facilitate future studies of the structure and function of this important class of molecules.