The high frequency dielectric response of a ferroelectric liquid crystal

Abstract

The temperature and frequency dependences of the complex dielectric susceptibility of a ferroelectric liquid crystal near the smectic C*-smectic A phase transition have been calculated using the classical and generalized Landau models. It is shown that although the dielectric response of the S*_C phase consists generally of four modes (soft, Goldstone, and two high frequency polarization modes) only three bands appear in the dielectric loss spectrum of ferroelectric liquid crystals at the S_A–S*_C phase transition. These results are in agreement with recent experimental data.     

Zur Elektronenstruktur metallorganischer Komplexe der f‐Elemente. 65 Erstmalige Beobachtung des linearen Dichroismus bei einem homoleptischen metallorganischen π‐Komplex der f‐Elemente: Tris(η5‐tetramethylcyclopenta‐dienyl)neodym(III)

Electronic Structures of Organometallic Complexes of f Elements. 65 First Observation of Linear Dichroism of a Homoleptic Organometallic π Complex of f Elements: Tris(η⁵‐tetramethylcyclopentadienyl)neodymium(III) The absorption spectrum of a powder sample of pseudo (Ψ) trigonal planar Nd(η⁵‐C₅Me₄H)₃ ( 1 ) has been measured at room temperature and ca. 40 K, respectively, and the linear dichroism spectra of σ‐ and π‐type of an oriented single crystal at ambient temperature and 77 K. Neglecting the signals of the C–H combination vibrations and overtones extracted from the absorption spectrum of La(η⁵‐C₅Me₄H)₃ ( 2 ), the observed polarization properties of the remaining f‐f transitions allowed the derivation of a truncated crystal field splitting pattern. The free parameters of a phenomenological Hamiltonian were fitted to this pattern leading to a reduced r.m.s. deviation of 16.1 cm^?1 for 38 assignments. The temperature dependence of the paramagnetic susceptibility of 1 was calculated, making use of the crystal field energies and wavefunctions of the fit. Introducing an orbital reduction factor of 0.98, calculated values of 1 agree well with the experimental ones of Ψ trigonal planar Nd(C₅H₄tBu)₃.     

Solid–liquid interface growth of Cu50Ni50 under deep undercoolings

Molecular dynamics simulations have been performed to explore interface growth of liquid Cu₅₀Ni₅₀ alloy by using an embedded atom potential, namely due to Zhou. The simulated melting temperature is 1585 K in agreement well with the experimental value of 1600 K. The calculated interface velocity increases with decreasing temperature ranging from 1585 K to 1100 K, where the calculated values are a little higher than the experimental ones at higher temperatures, and in agreement with the experimental ones at lower temperatures; while the calculated interface velocity decreases with decreasing temperature lower than 1100 K. The activation energy of atom is 0.0048 eV, almost close to zero under deep undercoolings, although the crystal growth still proceeds with the speed ranging from 50 m s^?1 to 10 m s^?1. The crystal growth of Cu₅₀Ni₅₀ is not controlled by diffusion mechanism under deep undercoolings.     

On the variation of magnetic susceptibility of a molecular crystal with temperature: the 2,4,6-triphenylverdazyl system

Magnetic susceptibilities of spin-1/2 systems of orthorhombic and higher crystal symmetries have been numerically investigated while taking possible anisotropy in the coupling constants along different crystal axes into account. The work relies on the magnon-based theory of ferromagnetic (FM) and antiferromagnetic (AFM) crystal systems of types FFF, AFF, AAF, and AAA [J. Chem. Phys. 111, 9009 (1999)]. The AAF crystal, in particular, shows interesting changes in the temperature dependence of magnetic susceptibility when the ferromagnetic exchange coupling constant is varied. We especially show that the susceptibility anomalies of molecular crystals fit naturally within the framework of the extended magnon-theoretical formalism, and do not necessarily imply a FM --> AFM or a reverse phase transition. A real system, molecular crystal of 2,4,6-triphenylverdazyl (2,4,6-TPV), has been investigated here. It was previously interpreted as an AAF system from observed susceptibility data [Tomiyoshi et al., Phys. Rev. B 49, 16031 (1994)]. The trend of the temperature dependence of magnetic susceptibility studied in the present work also indicates that the crystal belongs to the AAF category with a less prominent FM exchange coupling constant. To reinforce our conclusions, we have adopted a two-pronged strategy. First, the geometry of the 2,4,6-TPV monomer has been optimized here by ab initio unrestricted Hartree-Fock (UHF) calculations using the STO-3G basis set. The optimized geometry is almost planar. A subsequent calculation has been carried out with the phenyl rings twisted out of the plane of the nitrogen atoms. The STO-3G optimized geometry, and the same geometry except for the twisted phenyl rings, have been used to perform ab initio coupled-cluster (UCCSD-T) calculations with the same basis, and UHF as well as density-functional (UB3LYP) calculations using the 6-31G basis set. The calculated data can easily rationalize the twists while the species remains in crystal. The magnetic category of the crystal has been unambiguously confirmed as AFA from ab initio UHF and UB3LYP calculations of the total energy in different spin states of dimers and trimers along the crystal axes. The computed energy values, however, fail to yield accurate estimates of the exchange coupling constants Ja, Jb, and Jc, because the latter are on the order of 1kBK corresponding to energy differences on the order of 10(-6) hartree between different spin states. In the second approach, the observed features of the susceptibility minimum and maximum have been used to determine the best values of the exchange coupling constants from the theoretical formulas for an anisotropic AFA crystal. The AFM (Ja and Jc) and FM (Jb) exchange coupling constants and the Neel temperature (TN) found from this analysis correspond to Ja + Jc = -1.05 kBK, Jb = 1.35 kBK, and TN = 1.75 K. The calculated J values significantly differ from those estimated from a linear Heisenberg chain model, but generate a susceptibility versus temperature graph that mimics the experimental plot.     

First‐principles calculations on thermodynamic properties of BaTiO3 rhombohedral phase

The calculations based on the linear combination of atomic orbitals have been performed for the low‐temperature phase of BaTiO₃ crystal. Structural and electronic properties, as well as phonon frequencies were obtained using hybrid PBE0 exchange–correlation functional. The calculated frequencies and total energies at different volumes have been used to determine the equation of state and thermal contribution to the Helmholtz free energy within the quasiharmonic approximation. For the first time, the bulk modulus, volume thermal expansion coefficient, heat capacity, and Grüneisen parameters in BaTiO₃ rhombohedral phase have been estimated at zero pressure and temperatures form 0 to 200 K, based on the results of first‐principles calculations. Empirical equation has been proposed to reproduce the temperature dependence of the calculated quantities. The agreement between the theoretical and experimental thermodynamic properties was found to be satisfactory. © 2012 Wiley Periodicals, Inc.     

Magnetic properties of the dimeric iron(III) fluoride: Cs3Fe2F9

The crystal structure of Cs₃Fe₂F₉ has been redetermined with more accuracy. It consists of binuclear entities of face-sharing octahedra containing iron(III). The magnetic properties have been analyzed on the basis of ferromagnetic interactions within the isolated units, which are unusual for d⁵ ions. However, at low temperature intercoupling between dimers arise and has to be taken into account to fit the susceptibility data in the considered temperature range.     

A note on the magnetic susceptibility of hydrogen and its isotopomers

A wavefunction used in an earlier calculation of the nuclear shielding of the hydrogen molecule has been tested by comparing the calculated magnetic susceptibility against that of Kolos and Wolniewicz. Good agreement is obtained. The procedure of Herman and Short for averaging over the nuclear motion has also been tested by comparing the predicted susceptibilities of H₂, Hd and D₂ with those obtained from averages of the Rydberg-Klein-Rees potential curves by Jain and Sahni. Again, good agreement is found.For the first time calculated values have been obtained for the susceptibilities of the isoropomers of hydrogen which contain tritium. It is predicted that accurate susceptibility measurements should not only be able to distinguish between all the various isotopomers but should also detect the temperature dependence of the susceptibility of any one isotopomer.     

Through space magnetic exchange in tetrabromocuprates: theoretical considerations

The temperature dependence of the magnetic susceptibility of a two-dimensional Heisenberg antiferromagnet [bis(2-amino-5-chloropyridinium) tetrabromocuprate] is calculated via ab initio electronic structure methods. Individual pair-wise exchange values are used to determine the magnetic structure of the crystal and then to compute its magnetic susceptibility using a recently proposed method (J. Phys. Chem. A 106 (2002) 1299). Comparison of the calculated susceptibility to the experimental values shows excellent agreement.     

硫酸氢钾(KHSO4,A. R. )的低温热容和热化学性质

The heat capacities of KHSO₄ crystal (A.R.) have been measured with a small sample precision automated adiabatic calorimeter over the temperature range from 78 to 373 K.The experimental results have shown that there is no phase transition or thermal anomaly in this temperature region for the present crystal.The experimental heat-capacity data have been fitted to a smoothed curve with the aid of the least square method.In addition, the process of the thermal decomposition has been studied by TG analysis.     

Magnetic properties of uranium chalcogenides with composition close to UY2

The magnetic and some related physical properties of the uranium dichalcogenides are summarized and discussed with regard to their crystal structure. The theoretical magnetic susceptibility calculated on the basis of the usual crystal-field theory is compared with the experimental data. The calculation was carried out under the assumption that the uranium ions have the pure ³H₄ term and that there are S^2?, Se^2? and Te^2? ions. Regardless of the crystal environment of the uranium ion in all types of compounds the ground state appears to be a singlet. The results agree with experiment in a considerably broad temperature range. α-Dichalcogenides and U₇Te₁₂ exhibit a magnetic transition at low temperatures. Their unusual behavior in this region is discussed in terms of their crystal-field levels, complicated magnetic structure and possible magnetocrystalline anisotropy.     

The structure and magnetism of the (4,4'-bipy h2)cu2cl6 complex with infinite linear chains of dimeric units

The magnetic susceptibility of (4,4'-bipy H₂ )cu₂cl₆ has been measured over the temperature range 4.2 to 292 K. The principal structural units of the compound appear to be Cu₂Cl^2?₆ dimers arranged in linear chains throughout the crystal. Spin interaction is active between the copper atoms belonging to different Cu₂ Cl^2?₆ dimer ions as well as between the copper atoms within a dimer ion. The experimental results are compared with the Ising model for linear chains and the dimer model.     

Anomalous magnetic properties of tetraphenylporphinato Co(II) complex in the solid state

The α,β,γ,δ-tetraphenylporphinatocobalt(II) complex is found to exist in two distinct, but interconvertible, polycrystalline forms. The one with a tetragonal crystal symmetry (species B) gives the EPR spectrum which has been attributed to the low-spin electronic configuration of Co(II) ion in an axial crystal field. The other form (species A) having a triclinic crystal symmetry shows no easily detectable EPR signal even at liquid helium temperature.Magnetic susceptibility and magnetization meaurements demonstrated that the complex is paramagnetic in both forms, but the species (A) is characterized by ferromagnetic exchange coupling, while the species (B) behaves as a normal paramagnet.The experimental susceptibility versus 1/T curve can be reproduced quite well by using the Ising method. The g values thus obtained (g_| = 5.2,g_⊥ = 0) can not be explained by a low-spin electronic configuration, but are consistent with a high-spin ground state. Assigning a high-spin state to the species (A), the first such case in Co(II) porphine complexes, can not only explain the absence of EPR signal, but is also supported by the results of X-ray structural analyses.     

A new mixed ligand coordination polymer of Mn(II): structural aspect and cryomagnetic study

A new 1-D polymeric chain complex [Mn(pydc)(1,10-phen)]_n· nH₂O (pydc = pyridine-2,3-dicarboxylate, 1,10-phen = 1,10-phenanthroline) has been synthesised and characterised by elemental analysis, FT-IR spectrum, thermal analysis and variable temperature magnetic susceptibility studies. Single crystal X-ray diffraction study reveals that the central Mn(II) ion is in a distorted octahedral coordination geometry, and is coordinated to pydc and 1,10-phen. The complex shows interesting hydrogen bond modes involving the dicarboxylates and lattice water molecules. The presence of weak antiferromagnetic coupling with J = −0.72 cm⁻¹ for the complex has been concluded from the cryomagnetic susceptibility studies.     

The heat capacity of NdPO4

The heat capacity of neodymium orthophosphate has been measured in the temperature range (0.6 to 1570) K. From the results the excess (electronic) heat capacity has been derived by subtracting the lattice heat capacity derived from the heat capacity of the isostructural LaPO₄ and GdPO₄, reported earlier. The calculated excess heat capacity thus obtained is in reasonable agreement with that calculated from the crystal field energies.     

Calculated lifetime and decay mechanism of the 991 cm−1 mode in crystalline benzene at 1.6 K

The lifetime of the 991 cm^?1 Ag mode in benzene crystal at 1.6 K has been calculated in good agreement with the experimental value. The main decay mechanism has been shown to consist of a three-phonon scattering involving the ν₁₀ 860 cm^?1 e_2g internal vibration and high-frequency lattice modes.     

Low temperature magnetic susceptibility and exchange interaction in Cs3Cr2Cl9

Magnetic susceptibility of Cs₃Cr₂Cl₉ as a single crystal is studied in the temperature range 4.2–77 K. A maximum is obtained at 25 ± 1 K. These experimental data are interpreted by considering the isotropic exchange interaction between two spin quadruplets. The exchange constant J is found to be equal to - 13 cm^?1.     

Magnetic properties of barium uranate Ba2U2O7

Unique magnetic properties of a ternary uranate Ba₂U₂O₇ are reported. Magnetic susceptibility measurements reveal that this compound undergoes a magnetic transition at 19 K. Below this temperature, magnetic hysteresis was observed. The results of the low-temperature specific heat measurements below 30 K support the existence of the second-order magnetic transition at 19 K. Ba₂U₂O₇ undergoes a canted antiferromagnetic ordering at this temperature. The magnetic anomaly which sets in at 58 K may be due to the onset of one-dimensional magnetic correlations associated with the linear chains formed by U ions. The analysis of the experimental magnetic susceptibility data in the paramagnetic temperature region gives the effective magnetic moment μ_eff=0.73 μ_B, the Weiss constant θ=−10 K, and the temperature-independent paramagnetic susceptibility χ_TIP=0.14×10⁻³ emu/mole.The magnetic susceptibility results and the optical absorption spectrum were analyzed on the basis of an octahedral crystal field model. The energy levels of Ba₂U₂O₇ and the crystal field parameters were determined.     

Investigation of the Crystallization Kinetics of Zn(Met)(AcO)_2·H_2O in Mixed Solution of Water and Acetone by Microcalorimetry

Introduction The complexes of zinc salts with -amino acid as additive have a wide application in medicine, foodstuff and cosmetics.1-3 The synthesis methods of the com-plexes of zinc salts with -amino acid have been re-viewed.4 The solubility of Zn(AcO)2-Met-H2O system at 298.15 K has ever been investigated by the semi-micro-phase equilibrium method.5 The phase diagram is a simple one, in which the solid complex of Zn(AcO)2 and Met can not be obtained at 298.15 K. Zn(Met)2+ in solution w…     

Studying the Origin of the Antiferromagnetic to Spin‐Canting Transition in the β‐p‐NCC6F4CNSSN. Molecular Magnet

The crystal structure of the spin‐canted antiferromagnet β‐p‐NCC₆F₄CNSSN^. at 12 K (reported in this work) was found to adopt the same orthorhombic space group as that previously determined at 160 K. The change in the magnetic properties of these two crystal structures has been rigorously studied by applying a first‐principles bottom‐up procedure above and below the magnetic transition temperature (36 K). Calculations of the magnetic exchange pathways on the 160 K structure reveal only one significant exchange coupling (J(d1)=?33.8 cm^?1), which generates a three‐dimensional diamond‐like magnetic topology within the crystal. The computed magnetic susceptibility, χ(T), which was determined by using this magnetic topology, quantitatively reproduces the experimental features observed above 36 K. Owing to the anisotropic contraction of the crystal lattice, both the geometry of the intermolecular contacts at 12 K and the microscopic J_AB radical–radical magnetic interactions change: the J(d1) radical–radical interaction becomes even more antiferromagnetic (?43.2 cm^?1) and two additional ferromagnetic interactions appear (+7.6 and +7.3 cm^?1). Consequently, the magnetic topologies of the 12 and 160 K structures differ: the 12 K magnetic topology exhibits two ferromagnetic sublattices that are antiferromagnetically coupled. The χ(T) curve, computed below 36 K at the limit of zero magnetic field by using the 12 K magnetic topology, reproduces the shape of the residual magnetic susceptibility (having subtracted the contribution to the magnetization arising from spin canting). The evolution of these two ferromagnetic J_AB contributions explains the change in the slope of the residual magnetic susceptibility in the low‐temperature region.     

POLARIZED SINGLE-CRYSTAL ELECTRONIC SPECTRUM OF A HIGH-SPIN NiN3O2. CHROMOPHORE

Abstract

Polarized single crystal electronic spectra of the high-spin five-coordinated NiSALMeDPT complex have been reported. The assignment of the bands agrees with an effective C_s symmetry. The energies of the transitions calculated through a crystal field treatment have been compared with experimental ones.