The alignment of liquid crystals through magnetism demands a high value of the magnetic anisotropy. The magnitude of the anisotropy for a series of isostructural lanthanide-containing metallomesogens can be estimated on basis of the crystal-field splitting of the (7)F1 multiplet in the corresponding europium(III) compounds. A method to rapidly measure this splitting value is accessible through ...

2014 Zeeman line profiles for spin-allowed and forbidden electronic doublet-doublet transitions of molecular asymmetric tops have been computed for the case in which one of the combining states has a much larger zero-field splitting than the other. In such cases there must exist a range of external fields which are weak with respect to the high zero-field splitting state and strong with respect...

Linear acoustic wave-splitting is an often used tool in describing sound-wave propagation through earth's subsurface. Earth's subsurface is in general anisotropic due to the presence of water-filled porous rocks. Due to the complexity and the implicitness of the wave-splitting solutions in anisotropic media, wave-splitting in seismic experiments is often modeled as isotropic. With the present p...

We present a novel method for accurately splitting ionic samples at microchannel bifurcations. We leverage isotachophoresis (ITP) to focus and transport sample through a one-inlet, two-outlet microchannel bifurcation. We actively control the proportion of splitting by controlling potentials at endchannel reservoirs (and thereby controlling the current ratio). We explore the effect of buffer che...

The spin-orbit interaction-a fundamental electroweak force-is equivalent to an effective magnetic field intrinsic to crystals, leading to band spin splitting for certain k points in sufficiently low-symmetry structures. This (Dresselhaus) splitting has usually been calculated at restricted regions in the Brillouin zone via small wave vector approximations (e.g., k.p), potentially missing the "b...

Microfluidic systems with splitting structures are excellent for increasing emulsion production. However, traditional two-dimensional (2D) lithographic systems require complex modification of the microchannel surfaces and achieve only 2D splitting of the droplets. Herein, we present new glass capillary microfluidic devices that perform three-dimensional (3D) splitting of droplets. These devices...

For a computable field F , the splitting set SF of F is the set of polynomials in F [X] which factor over F , and the root set RF of F is the set of polynomials in F [X] which have a root in F . Results of Fröhlich and Shepherdson in [3] imply that for a computable field F , the splitting set SF and the root set RF are Turing-equivalent. Much more recently, in [5], Miller showed that for algebr...

We prove the following dichotomy for vector fields in a C-residual subset of volume-preserving flows: for Lebesgue almost every point all Lyapunov exponents equal to zero or its orbit has a dominated splitting. As a consequence if we have a vector field in this residual that cannot be C-approximated by a vector field having elliptic periodic orbits, then, there exists a full measure set such th...

We report on the variation of a methyl tunnel splitting with pressure. The measurements are the first studies of thepressure variation of a methyl tunnel splitting using low-field, of order 80 gauss, dipole-dipole driven NMR spectroscopywith rapid field-cycling. Pressures up to 1.8kbar were applied with an operating temperature of 4.2K. In addition protonspin-lattice relaxation time...