Elastic properties of cubic crystals: Every's versus Blackman's diagram

Blackman's diagram of two dimensionless ratios of elastic constants is frequently used to correlate elastic properties of cubic crystals with interatomic bondings. Every's diagram of a different set of two dimensionless variables was used by us for classification of various properties of such crystals. We compare these two ways of characterization of elastic properties of cubic materials and consider the description of various groups of materials, e.g. simple metals, oxides, and alkali halides. With exception of intermediate valent compounds, the correlation coefficients for Every's diagrams of various groups of materials are greater than for Blackaman's diagrams, revealing the existence of a linear relationship between two dimensionless Every's variables. Alignment of elements and compounds along lines of constant Poisson's ratio $\nu(,\textbf{m})$, ($\textbf{m}$ arbitrary perpendicular to ) is observed. Division of the stability region in Blackman's diagram into region of complete auxetics, auxetics and non-auxetics is introduced. Correlations of a scaling and an acoustic anisotropy parameter are considered.Comment: 8 pages, 9 figures, presented on The Ninth International School on Theoretical Physics "Symmetry and Structural Properties of Condensed Matter", 5 - 12 September 2007, Myczkowce, Polan

Consent to a Search and Seizure by a Member of the Suspect\u27s Family: A Survey of the Problems

Constitutional provisions, statutes and common law rules of criminal procedure, desigmed to protect an individual\u27s privacy and security, require that most searches and seizures in the Anglo-American system of jurisprudence be conducted pursuant to a warrant. The Fourth Amendment of the Constitution of the United States, now applicable to the states, Mapp v. Ohio, ex- plicitly limits searches and seizures and outlaws the broad, general warrants and writs of assistance of the eighteenth century

Non-linear amplification of small spin precession using long range dipolar interactions

In measurements of small signals using spin precession the precession angle usually grows linearly in time. We show that non-linear interactions between particles can lead to an exponentially growing spin precession angle, resulting in an amplification of small signals and raising them above the noise level of a detection system. We demonstrate amplification by a factor of greater than 8 of a spin precession signal due to a small magnetic field gradient in a spherical cell filled with hyperpolarized liquid $^{129}$Xe. This technique can improve the sensitivity in many measurements that are limited by the noise of the detection system, rather then the fundamental spin-projection noise.Comment: 4 pages, 4 figure

Electron Spin-Lattice Relaxation of doped Yb3+ ions in YBa2Cu3Ox

The electron spin-lattice relaxation (SLR) times T1 of Yb3+‡ ions were measured from the temperature dependence of electron spin resonance linewidth in Y0.99Yb0.01Ba2Cu3Ox with different oxygen contents. Raman relaxation processes dominate the electron SLR. Derived from the temperature dependence of the SLR rate, the Debye temperature (Td) increases with the critical temperature Tc and oxygen content x. Keywords: EPR; ESR; Electron spin-lattice relaxation; Debye temperature; Critical temperatureComment: 5 Pages 4 Figure