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Showing papers on "Quadrupole published in 2009"


Journal ArticleDOI
TL;DR: A general procedure to analyse the pre-edges in 1s x-ray absorption near edge structure (XANES) of transition metal oxides and coordination complexes is developed and large cross section at the 3d-band region due to the strong metal-metal interactions, which are oxygen mediated.
Abstract: We develop a general procedure to analyse the pre-edges in 1s x-ray absorption near edge structure (XANES) of transition metal oxides and coordination complexes. Transition metal coordination complexes can be described from a local model with one metal ion. The 1s 3d quadrupole transitions are calculated with the charge-transfer multiplet program. Tetrahedral coordination complexes have more intense pre-edge structures due to the local mixing of 3d and 4p states, implying a combination of 1s 3d quadrupole and 1s 4p dipole transitions. Divalent transition metal oxides can be described similar to coordination complexes, but for trivalent and tetravalent oxides, additional structures are visible in the pre-edge region due to non-local dipole transitions. The 1s 4p dipole transitions have large cross section at the 3d-band region due to the strong metal-metal interactions, which are oxygen mediated. This yields large intensity in the 3d-band region but at a different energy than the local 1s 3d quadrupole transitions because of smaller core-hole effects due to the delocalization of the excited electron.

275 citations


Journal ArticleDOI
TL;DR: Zeng et al. as mentioned in this paper used two-beam second-harmonic generation to separate the surface and bulk contributions to the second-order nonlinear optical response of an isotropic gold film.
Abstract: We use two-beam second-harmonic generation to separate the surface (electric dipole origin) and bulk (magnetic dipole and electric quadrupole origin) contributions to the second-order nonlinear optical response of an isotropic gold film. The bulk response is unambiguously observed and explained by momentum damping of electrons in a free-electron model. Although bulk effects could be enhanced by inhomogeneous local fields in metal nanostructures and have been used to model second-harmonic generation from metamaterials [Y. Zeng et al., Phys. Rev. B 79, 235109 (2009)], we find that surface effects dominate the nonlinearity. Our quantitative results for the surface and bulk parameters set the baseline for future descriptions of the second-order response of nanostructured metals.

241 citations


Journal ArticleDOI
TL;DR: In this paper, a magnetic quadrupole trap and a red-detuned optical dipole trap are combined to produce Bose-Einstein condensates in 16 s. This technique combines the efficient capture of atoms from a magneto-optical trap into a magnetic trap with the rapid evaporation of optical dipoles.
Abstract: We describe an apparatus for quickly and simply producing $^{87}\text{R}\text{b}$ Bose-Einstein condensates. It is based on a magnetic quadrupole trap and a red-detuned optical dipole trap. We collect atoms in a magneto-optical trap (MOT) and then capture the atoms in a magnetic quadrupole trap and force rf evaporation. We then transfer the resulting cold dense cloud into a spatially mode-matched optical dipole trap by lowering the quadrupole field gradient to below gravity. This technique combines the efficient capture of atoms from a MOT into a magnetic trap with the rapid evaporation of optical dipole traps; the approach is insensitive to the peak quadrupole gradient and the precise trapping beam waist. Our system reliably produces a condensate with $N\ensuremath{\approx}2\ifmmode\times\else\texttimes\fi{}{10}^{6}$ atoms every 16 s.

230 citations


Journal ArticleDOI
TL;DR: ExPRESS is used to investigate fundamental differences in the mechanism of echo formation in deuteron MAS and quadrupole CPMG experiments, and to illustrate significant differences between these techniques in the context of high spin quadrupolar nuclei.

158 citations


Journal ArticleDOI
TL;DR: The extraordinary story of the three-dimensional radiofrequency quadrupoles ion trap, accompanied by a seemingly unintelligible theoretical treatment, is told in some detail because of the quite considerable degree of commercial success that quadrupole technology has achieved.
Abstract: The extraordinary story of the three-dimensional radiofrequency quadrupole ion trap, accompanied by a seemingly unintelligible theoretical treatment, is told in some detail because of the quite considerable degree of commercial success that quadrupole technology has achieved. The quadrupole ion trap, often used in conjunction with a quadrupole mass filter, remained a laboratory curiosity until 1979 when, at the American Society for Mass Spectrometry Conference in Seattle, George Stafford, Jr., of Finnigan Corp., learned of the Masters' study of Allison Armitage of a combined quadrupole ion trap/quadrupole mass filter instrument for the observation of electron impact and chemical ionization mass spectra of simple compounds eluting from a gas chromatograph. Stafford developed subsequently the mass-selective axial instability method for obtaining mass spectra from the quadrupole ion trap alone and, in 1983, Finnigan Corp. announced the first commercial quadrupole ion trap instrument as a detector for a gas chromatograph. In 1987, confinement of ions generated externally to the ion trap was demonstrated and, soon after, the new technique of electrospray ionization was shown to be compatible with the ion trap.

147 citations


Journal ArticleDOI
TL;DR: Extensions of quadrupole mass filters to higher masses, scanning with frequency sweeps of the quadrupoles waveform, operation in higher stability regions, and operation with rectangular or other periodic waveforms are discussed.
Abstract: The use of linear quadrupoles in mass spectrometry as mass filters and ion guides is reviewed. Following a tutorial review of the principles of mass filter operation, methods of mass analysis are reviewed. Discussed are extensions of quadrupole mass filters to higher masses, scanning with frequency sweeps of the quadrupole waveform, operation in higher stability regions, and operation with rectangular or other periodic waveforms. Two relatively new methods of mass analysis the use of "islands of stability" and "mass selective axial ejection" are then reviewed. The optimal electrode geometry for a quadrupole mass filter constructed with round rods is discussed. The use of collisional cooling in quadrupole ion guides is discussed along with ion guides that have axial fields. Finally, mass analysis with quadrupoles that have large distortions to the geometry and fields is discussed. An Appendix gives a brief tutorial review of definitions of electrical potentials and fields, as well as the units used in this article.

122 citations


01 Jan 2009
TL;DR: In this article, a-decay and a-capture are considered as penetration of the a-particle through the potential barrier formed by the nuclear, Coulomb, and centrifugal interactions between the aparticle and nucleus.
Abstract: a-Decay half-lives and a-capture cross sections are evaluated in the framework of a unified model for a-decay and a-capture. In this model a-decay and a-capture are considered as penetration of the a-particle through the potential barrier formed by the nuclear, Coulomb, and centrifugal interactions between the a-particle and nucleus. The spins and parities of the parent and daughter nuclei as well as the quadrupole and hexadecapole deformations of the daughter nuclei are taken into account for evaluation of the a-decay half-lives. The a-decay half-lives for 344 nuclei and the a-capture cross sections of 40 Ca, 44 Ca, 59 Co, 208 Pb, and 209 Bi agree well with the experimental data. The evaluated a-decay half-lives

103 citations


Journal ArticleDOI
TL;DR: In this paper, a review of the general version of the Bohr collective model for the description of quadrupole collective states, including a detailed discussion of the model's kinematics, is presented.
Abstract: The article reviews the general version of the Bohr collective model for the description of quadrupole collective states, including a detailed discussion of the model's kinematics. The quadrupole coordinates, momenta and angular momenta are defined and the structure of the isotropic tensor fields as functions of the tensor variables is investigated. After a comprehensive discussion of the quadrupole kinematics, the general form of the classical and quantum Bohr Hamiltonian is presented. The electric and magnetic multipole moment operators acting in the collective space are constructed and the collective sum rules are given. A discussion of the tensor structure of the collective wavefunctions and a review of various methods of solving the Bohr Hamiltonian eigenvalue equation are also presented. Next, the methods of derivation of the classical and quantum Bohr Hamiltonian from the microscopic many-body theory are recalled. Finally, the microscopic approach to the Bohr Hamiltonian is applied to interpret collective properties of 12 heavy even–even nuclei in the Hf–Hg region. Calculated energy levels and E2 transition probabilities are compared with experimental data.

102 citations


Journal ArticleDOI
TL;DR: In this paper, a single ion is confined in a cylindrically symmetric radiofrequency Paul trap, and the reference transition is the {sup 2}S{sub 1/2}(F=0)-{sup 2 D{sub 3/2](F{sup '}=2) electric quadrupole transition at 688 THz.
Abstract: We report experimental investigations of a single-ion optical frequency standard based on {sup 171}Yb{sup +}. The ion is confined in a cylindrically symmetric radiofrequency Paul trap. The reference transition is the {sup 2}S{sub 1/2}(F=0)-{sup 2}D{sub 3/2}(F{sup '}=2) electric quadrupole transition at 688 THz. Using a differential measurement scheme, we determine the shift of the reference transition frequency that occurs due to the interaction of the electric quadrupole moment of the {sup 2}D{sub 3/2} state with the gradient of the electrostatic stray field in the trap. We determine an upper limit for the instability of the quadrupole shift over times between 100 s to 20 h. We also observe the variations in the shift and in the applied stray-field compensation voltages that result from loading a new ion into the trap and during a subsequent storage period of 74 days. This information is utilized to measure the absolute frequency of the reference transition with an uncertainty that is a factor of 3 smaller than that of the previous measurement. Using a fiber laser based optical frequency comb generator and the cesium fountain clock CSF1 of PTB (Physikalisch-Technische Bundesanstalt), the frequency at 300 K temperature is determined as 688 358 979 309more » 306.62{+-}0.73 Hz.« less

86 citations


Journal ArticleDOI
TL;DR: This type of molecular-assisted approach unveiled a simple correlation between the dipole and quadrupole moments of the solutes and the ionic liquid solvent and revealed the complex nature of the interactions between aromatic compounds and ionic liquids.
Abstract: The diverse dipole and quadrupole moments of benzene and its 12 fluorinated derivatives are correlated to their solubility in the ionic liquid 1-ethyl-3-methyl-imidazolium bis(trifluoromethanesulfonyl)imide. Albeit empirical, the correlation was built taken into account molecular insights gained from ab initio calculations of the isolated aromatic solute molecules and molecular dynamics simulations of all 13 aromatic solute plus ionic liquid solvent binary mixtures. This type of molecular-assisted approach unveiled a simple correlation between the dipole and quadrupole moments of the solutes and the ionic liquid solvent. It also revealed the complex nature of the interactions between aromatic compounds and ionic liquids, with the charge density functions of the former acting as a sort of molecular template that promotes the segregation of the ions of the latter and defines the fluid phase behavior (liquid-liquid demixing) of the corresponding binary mixtures. Such an approach can be extended to other systems involving the interactions of different types of solutes with ionic liquid solvents.

85 citations


Journal ArticleDOI
TL;DR: In this article, an ab initio method is used to predict quadrupole splitting values of high-, intermediate and low-spin Fe2+ and Fe3+ in perovskite, as a function of pressure and composition.
Abstract: [1] The properties of (Mg,Fe)SiO3 perovskite at lower mantle conditions are still not well understood, and particular attention has recently been given to determining the Fe spin state. A major challenge in spin states studies is interpretation of Mossbauer spectra to determine the electronic structure of iron under extreme conditions. In this paper ab initio methods are used to predict quadrupole splitting values of high-, intermediate- and low-spin Fe2+ and Fe3+ in perovskite, as a function of pressure and composition. The calculations in (Mg0.75Fe0.25)SiO3 yield quadrupole splitting values in the range of 0.7–1.7 mm/s for all spin and valence states except high-spin Fe2+, which has two possible quadrupole splittings, 2.3 and 3.3 mm/s. The unexpected multiple quadrupole splitting values for high-spin Fe2+ are explained in terms of small changes in local structure and d-orbital occupations. The computed results are applied to interpret existing perovskite Mossbauer data for iron's spin state.

Journal ArticleDOI
TL;DR: Discrete dipole approximation calculations show that it is the geometry of these novel structures rather than the addition of a new element that leads to the plasmon tunability.
Abstract: Aucore−Agshell triangular bifrustum nanocrystals were synthesized in aqueous solution using a seed-mediated approach. The formation of the Ag layer on the Au nanoprism seeds leads to structures with highly tunable dipole and quadrupole surface plasmon resonances. Discrete dipole approximation calculations show that it is the geometry of these novel structures rather than the addition of a new element that leads to the plasmon tunability. The structure and composition of these novel nanocrystals have been investigated by transmission electron microscopy, atomic force microscopy, X-ray photoelectron spectroscopy, and energy-dispersive spectrometry.

Journal ArticleDOI
TL;DR: In this article, the effects of tensor interaction on the multipole response of magic nuclei, using the fully self-consistent random phase approximation model with Skyrme interactions, were analyzed.
Abstract: We present a thorough analysis of the effects of tensor interaction on the multipole response of magic nuclei, using the fully self-consistent random phase approximation model with Skyrme interactions. We disentangle the modifications to the static mean field induced by the tensor terms, and the specific features of the residual particle-hole (p-h) tensor interaction, for quadrupole (2(+)), octupole (3(-)), and also magnetic dipole (1(+)) responses. It is pointed out that the tensor force has a larger effect on the magnetic dipole states than on the natural parity states 2(+) and 3(-), especially at the mean-field level. Perspectives for a better assessment of the tensor force parameters are discussed.

Journal ArticleDOI
TL;DR: Using a covariant spectator constituent quark model, this article predicted an electric quadrupole moment QΔ+=−0.043efm2 and a magnetic octupole moment OΔ+0.0035efm3 for the nucleon.

Journal ArticleDOI
TL;DR: In this paper, a large-scale ab initio no-core shell model for Li and Be isotopes using high-precision nucleon-nucleon potentials is presented.
Abstract: Recently, charge radii and ground-state electromagnetic moments of Li and Be isotopes were measured precisely. We have performed large-scale ab initio no-core shell model calculations for these isotopes using high-precision nucleon-nucleon potentials. The isotopic trends of our computed charge radii and quadrupole and magnetic-dipole moments are in good agreement with experimental results with the exception of the 11Li charge radius. The magnetic moments are in particular well described, whereas the absolute magnitudes of the quadrupole moments are about 10% too small. The small magnitude of the 6Li quadrupole moment is reproduced, and with the CD-Bonn NN potential, also its correct sign.

Journal ArticleDOI
TL;DR: It is shown that the magic wavelength can be defined so as to eliminate the spatial mismatch in electric dipole, magnetic dipoles, and electric quadrupole interactions for specific combinations of standing waves by allowing a spatially constant light shift arising from the latter two interactions.
Abstract: In a standing wave of light, a difference in spatial distributions of multipolar atom-field interactions may introduce atomic-motion dependent clock uncertainties in optical lattice clocks. We show that the magic wavelength can be defined so as to eliminate the spatial mismatch in electric dipole, magnetic dipole, and electric quadrupole interactions for specific combinations of standing waves by allowing a spatially constant light shift arising from the latter two interactions. Experimental prospects of such lattices used with a blue magic wavelength are discussed.

Journal ArticleDOI
TL;DR: In this article, an improved estimate of the detectability of gravitational waves from magnetically confined mountains on accreting neutron stars was given, which includes three-dimensional hydromagnetic relaxation, threedimensional resistive relaxation, realistic accreted masses and verification of the curvature rescaling transformation employed in previous work.
Abstract: We give an improved estimate of the detectability of gravitational waves from magnetically confined mountains on accreting neutron stars The improved estimate includes the following effects for the first time: three-dimensional hydromagnetic ('fast') relaxation, three-dimensional resistive ('slow') relaxation, realistic accreted masses M a ≤ 2 × 10 ―3 M ⊙ (where the mountain is grown ab initio by injection) and verification of the curvature rescaling transformation employed in previous work Typically, a mountain does not relax appreciably over the lifetime of a low-mass X-ray binary The ellipticity reaches ∈ ≈ 2 × 10- 5 for M a = 2 x 10- 3 M ⊙ The gravitational wave spectrum for triaxial equilibria contains an additional line, which, although weak, provides valuable information about the mountain shape We evaluate the detectability of magnetic mountains with initial and advanced Laser Interferometer Gravitational Wave Observatory (LIGO) For a standard, coherent matched filter search, we find a signal-to-noise ratio of d = 28(M a /10 ―4 M ⊙ ) (1 + 55M a /10 ―4 M ⊙ ) ―1 (D/10kpc) ―1 (T 0 /14 d) 1/2 for initial LIGO, where D is the distance and To is the observation time From the non-detection of gravitational waves from low-mass X-ray binaries to date, and the wave strain limits implied by the spin frequency distribution of these objects (due to gravitational wave braking), we conclude that there are other, as yet unmodelled, physical effects that further reduce the quadrupole moment of a magnetic mountain, most notably sinking into the crust

Journal ArticleDOI
TL;DR: In this paper, the microwave spectra of ultracold atoms, including hyperfine interactions and in the presence of electric and magnetic fields, have been calculated, and it has been shown that microwave transitions may be used to transfer molecules between different hyperfine states, but only because of the nuclear quadrupole interactions.
Abstract: We calculate the microwave spectra of ultracold $^{40}\text{K}^{87}\text{R}\text{b}$ alkali-metal dimers, including hyperfine interactions and in the presence of electric and magnetic fields. We show that microwave transitions may be used to transfer molecules between different hyperfine states, but only because of the presence of nuclear quadrupole interactions. Hyperfine splittings may also complicate the use of ultracold molecules for quantum computing. The spectrum of molecules oriented in electric fields may be simplified dramatically by applying a simultaneous magnetic field.

Journal ArticleDOI
TL;DR: In this article, low-temperature elastic properties of the clathrate compound Ce 3 Pd 20 Si 6 were investigated using ultrasonic measurements, and it was shown that a minimum of (C 11 - C 12 )/2 at T C =170 mK indicates a transition from paramagnetic phase I to an ordered phase III.
Abstract: Low-temperature elastic properties of the clathrate compound Ce 3 Pd 20 Si 6 were investigated using ultrasonic measurements. Pronounced softening of elastic constants ( C 11 - C 12 )/2 and C 44 with decreasing temperature indicates a precursor of electric quadrupole ordering due to a Γ 8 quartet ground sate with an orbital degeneracy for 8c site of a Ce ion. A minimum of ( C 11 - C 12 )/2 at T C =170 mK indicates a transition from paramagnetic phase I to an ordered phase III. Applied magnetic fields induce an antiferro-quadrupole (AFQ) ordered phase II with highly anisotropic character depending on the field direction, which resembles the AFQ phase with O x y -type order parameter in CeB 6 with the Γ 8 ground sate. The order paramater of the phase III may be characterized by either magnetic dipole or magnetic octupole. The Γ 7 ground state at 4a site may fall into a singlet screened by conduction electrons at low temperatures without long-range magnetic ordering.

09 Nov 2009
TL;DR: In this article, the electric quadrupole (E2) and magnetic octupole (M3) ground state transitions in Ni-like W{sup 46+} have been measured using high-resolution crystal spectroscopy at the Livermore electron beam ion trap facility.
Abstract: The electric quadrupole (E2) and magnetic octupole (M3) ground state transitions in Ni-like W{sup 46+} have been measured using high-resolution crystal spectroscopy at the Livermore electron beam ion trap facility. The lines fall in the soft x-ray region near 7.93 {angstrom} and were originally observed as an unresolved feature in tokamak plasmas. Using flat ADP and quartz crystals the wavelengths, intensities, and polarizations of the two lines have been measured for various electron beam energies and compared to intensity and polarization calculations performed using the Flexible Atomic Code (FAC).

Journal ArticleDOI
TL;DR: In this paper, the authors present an experimental study that maps the transformation of nuclear quadrupole resonances (NQRs) from the pure NQRs to the quadrupoles-perturbed Zeeman regime, where the quantization axis changes from being aligned along the axis of the electric-field gradient tensor to beingaligned along the magnetic field.
Abstract: We present an experimental study that maps the transformation of nuclear quadrupole resonances (NQRs) from the pure nuclear quadrupole regime to the quadrupole-perturbed Zeeman regime. The transformation presents an interesting quantum-mechanical problem since the quantization axis changes from being aligned along the axis of the electric-field gradient tensor to being aligned along the magnetic field. The large nuclear quadrupole shifts present in our system enable us to study this regime with relatively high resolution. We achieve large nuclear quadrupole shifts for $I=3∕2$ $^{131}\mathrm{Xe}$ by using a cube-shaped $1\phantom{\rule{0.3em}{0ex}}{\mathrm{mm}}^{3}$ vapor cell with walls of different materials. The enhancement of the NQR shift from the cell wall materials is an observation that opens up an additional adjustable parameter to tune and enhance the nuclear quadrupole interactions in vapor cells. As a confirmation that the interesting and complex spectra that we observe are indeed expected, we compare our data to numerical calculations and find excellent agreement.

Journal ArticleDOI
TL;DR: In this paper, a frequency-stabilized cavity ring-down spectroscopy was used to measure electric quadrupole transitions within the O(16)O_2 A band, b^1Σ+_g ← X^3Σ^-_g(0,0).
Abstract: Frequency-stabilized cavity ring-down spectroscopy was utilized to measure electric quadrupole transitions within the ^(16)O_2 A band, b^1Σ^+_g ← X^3Σ^-_g(0,0). We report quantitative measurements (relative uncertainties in intensity measurements from 4.4% to 11%) of nine ultraweak transitions in the ^NO, ^PO, ^RS, and ^TS branches with line intensities ranging from 3×10^(−30) to 2×10^(−29) cm molec.^(−1). A thorough discussion of relevant noise sources and uncertainties in this experiment and other cw-cavity ring-down spectrometers is given. For short-term averaging (t<100 s), we estimate a noise-equivalent absorption of 2.5×10^(−10) cm^(−1) Hz^(−1/2). The detection limit was reduced further by co-adding up to 100 spectra to yield a minimum detectable absorption coefficient equal to 1.8×10^(−11) cm^(−1), corresponding to a line intensity of ~2.5×10^(−31) cm molec.^(−1). We discuss calculations of electric quadrupole line positions based on a simultaneous fit of the ground and upper electronic state energies which have uncertainties <3 MHz, and we present calculations of electric quadrupole matrix elements and line intensities. The electric quadrupole line intensity calculations and measurements agreed on average to 5%, which is comparable to our average experimental uncertainty. The calculated electric quadrupole band intensity was 1.8(1)×10^(−27) cm molec.−1 which is equal to only ~8×10^(−6) of the magnetic dipole band intensity.

Journal ArticleDOI
TL;DR: The potential energy curve of the fluorine molecule in the ground electronic state (1)Sigma(g)(+) is determined and analyzed in the long-range region and it is shown that the former becomes identical with the interaction between the quadrupoles of the fluoride atoms and the latter becomes the London dispersion interaction.
Abstract: The potential energy curve of the fluorine molecule in the ground electronic state Σ1g+ is determined and analyzed in the long-range region. The analysis is based on expressing the potential as the sum of the potential energy curve of the uncorrelated, but properly dissociating wave function and the correlation energy contribution. It is shown that, in the long-range region, the former becomes identical with the interaction between the quadrupoles of the fluorine atoms and the latter becomes the London dispersion interaction. The former is repulsive because of the coaxial quadrupole alignments in the Σ1g+ ground state and proportional to 1/R5. The latter is attractive and proportional to 1/R6. There moreover exists an additional repulsive force due to the loss of spin-orbit coupling upon the bond formation. As a result of these antagonistic interactions, the potential energy curve has a barrier at about 4 A, with a value about +0.04 mhartree. The descent of the potential toward the minimum, when the atoms...

Book
05 May 2009
TL;DR: In this article, the authors classified the contributions by the degree of enhancement most enhanced Bands in SERS (dz-Qmain), (Qmain-dz) and (Dz-Dz) Contributions and appearance of forbidden bands in the SER Spectra of Symmetrical Molecules Contributions Caused by One Minor and One Main Moments Disturbance of the Symmetry of Molecules Upon Adsorption and Two Possible Mechanisms of the Appearance of Forbidden Bands.
Abstract: Preface Introduction Main Specific Features of the SERS phenomenon Some of the Existing Theories Some Properties of the Electromagnetic Field Near a Rough Metal Surface Expressions for the SER Cross-Sections of Arbitrary and Symmetrical Molecules Selection Rules For Symmetrical Molecules Classification of the Contributions by the Degree of Enhancement Most Enhanced Bands in SERS (dz-Qmain), (Qmain-dz) and (dz-dz) Contributions and Appearance of Forbidden Bands in the SER Spectra of Symmetrical Molecules Contributions Caused by One Minor and One Main Moments Disturbance of the Symmetry of Molecules Upon Adsorption and Two Possible Mechanisms of the Appearance of Forbidden Bands in the SER Spectra Analysis of the SER Spectra Analysis of the SER Spectra of Molecules With and Symmetry Groups Anomalies in the SER Spectra of Benzene Adsorbed on Lithium and Hexafluorobenzene Adsorbed on Silver Electrodynamic Forbiddance of the Quadrupole Enhancement Mechanism in Molecules with Cubic Symmetry Groups Discussion of Experimental Results About the Electrodynamic Forbiddance of the Quadrupole SERS Mechanism in Other Molecules Anomalies of the SER Spectra of Symmetrical Molecules Adsorbed on Transition Metal Substrates Possible Reason of the Competition of the Raman Bands (Influence of the Complex Dielectric Constant) Single Molecule Detection by the SERS Method and Its Relation to the Quadrupole SERS Theory Charge Transfer Enhancement Mechanism Explanation of Experimental Phenomena Accompanying SERS Conclusion Appendix 1 Wave functions of Arbitrary Molecules Appendix 2 The Tables of Irreducible Representations of Some Point Groups References Index.

Journal ArticleDOI
TL;DR: A fully automated parallelized implementation of the incremental scheme for coupled-cluster singles-and-doubles (CCSD) energies has been extended to treat molecular (unrelaxed) first-order one-electron properties such as the electric dipole and quadrupole moments.
Abstract: A fully automated parallelized implementation of the incremental scheme for coupled-cluster singles-and-doubles (CCSD) energies has been extended to treat molecular (unrelaxed) first-order one-electron properties such as the electric dipole and quadrupole moments. The convergence and accuracy of the incremental approach for the dipole and quadrupole moments have been studied for a variety of chemically interesting systems. It is found that the electric dipole moment can be obtained to within 5% and 0.5% accuracy with respect to the exact CCSD value at the third and fourth orders of the expansion, respectively. Furthermore, we find that the incremental expansion of the quadrupole moment converges to the exact result with increasing order of the expansion: the convergence of nonaromatic compounds is fast with errors less than 16 mau and less than 1 mau at third and fourth orders, respectively (1 mau=10−3ea02); the aromatic compounds converge slowly with maximum absolute deviations of 174 and 72 mau at third and fourth orders, respectively.

Journal ArticleDOI
TL;DR: In this article, the transverse charge density of a deuteron was characterized by monopole, dipole and quadrupole patterns, and it was shown that the charge densities for a transversely-polarized deuterons are characterized by a light front moving towards the deuterone.
Abstract: Using the recent empirical information on the deuteron electromagnetic form factors we map out the transverse charge density in the deuteron as viewed from a light front moving towards the deuteron. The charge densities for a transversely polarized deuteron are characterized by monopole, dipole and quadrupole patterns.

Journal ArticleDOI
TL;DR: Surface-enhanced Raman optical activity (SEROA) is investigated theoretically for molecules near a metal nanoshell and the differential Raman scattering is examined in detail for a simple chiroptical model that provides analytical forms for the relevant dynamical molecular response tensors.
Abstract: Surface-enhanced Raman optical activity (SEROA) is investigated theoretically for molecules near a metal nanoshell. For this purpose, induced molecular electric dipole, magnetic dipole, and electric quadrupole moments must all be included. The incident field and the induced multipole fields all scatter from the nanoshell, and the scattered waves can be calculated via extended Mie theory. It is straightforward in this framework to calculate the incident frequency dependence of SEROA intensities, i.e., SEROA excitation profiles. The differential Raman scattering is examined in detail for a simple chiroptical model that provides analytical forms for the relevant dynamical molecular response tensors. This allows a detailed investigation into circumstances that simultaneously provide strong enhancement of differential intensities and remain selective for molecules with chirality.

Journal ArticleDOI
TL;DR: In different scenes of similar geometries, the authors found structurally similar light fields, which suggests that in some way the light field can be thought of as a property of the geometry.
Abstract: Light fields [J. Math. Phys. 18, 51 (1936) ;The Photic Field (MIT, 1981)] of natural scenes are highly complex and vary within a scene from point to point. However, in many applications complex lighting can be successfully replaced by its low-order approximation [J. Opt. Soc. Am. A 18, 2448 (2001); Appl. Opt. 46, 7308 (2007)]. The purpose of this research is to investigate the structure of light fields in natural scenes.We describe the structure of light fields in terms of spherical harmonics and analyze their spatial variation and qualitative properties over scenes. We consider several types of natural scene geometries. Empirically and via modeling, we study the typical behavior of the first- and second-order approximation of the local light field in those scenes. The first-order term is generally known as the “light vector” and has an immediate physical meaning. The quadrupole component, which we named “squash tensor,” is a useful addition as we show in this paper. The measurements were done with a custom-made device of novel design, called a “Plenopter,” which was constructed to measure the light field in terms of spherical harmonics up to the second order. In different scenes of similar geometries, we found structurally similar light fields, which suggests that in some way the light field can be thought of as a property of the geometry. Furthermore, the smooth variation of the light field’s low-order components suggests that, instead of specifying the complete light field of the scene, it is often sufficient to measure the light field only in a few points and rely on interpolation to recover the light field at arbitrary points of the scene.

Journal ArticleDOI
TL;DR: A new classical water force field that explicitly accounts for differences in polarizability between liquid and vapor phases is discussed and TIP4P-QDP is demonstrated as a model comparable to the popular TIP 4P-FQ while accounting for a physical effect previously neglected by other water models.
Abstract: We discuss a new classical water force field that explicitly accounts for differences in polarizability between liquid and vapor phases. The TIP4P-QDP (4-point transferable intermolecular potential with charge dependent-polarizability) force field is a modification of the original TIP4P-FQ fluctuating charge water force field of Rick et al.(1) that self-consistently adjusts its atomic hardness parameters via a scaling function dependent on the M-site charge. The electronegativity (χ) parameters are also scaled in order to reproduce condensed-phase dipole moments of comparable magnitude to TIP4P-FQ. TIP4P-QDP is parameterized to reproduce experimental gas-phase and select condensed-phase properties. The TIP4P-QDP water model possesses a gas phase polarizability of 1.40 A(3) and gas-phase dipole moment of 1.85 Debye, in excellent agreement with experiment and high-level ab initio predictions. The liquid density of TIP4P-QDP is 0.9954(±0.0002) g/cm(3) at 298 K and 1 atmosphere, and the enthalpy of vaporization is 10.55(±0.12) kcal/mol. Other condensed-phase properties such as the isobaric heat capacity, isothermal compressibility, and diffusion constant are also calculated within reasonable accuracy of experiment and consistent with predictions of other current state-of-the-art water force fields. The average molecular dipole moment of TIP4P-QDP in the condensed phase is 2.641(±0.001) Debye, approximately 0.02 Debye higher than TIP4P-FQ and within the range of values currently surmised for the bulk liquid. The dielectric constant, e = 85.8 ± 1.0, is 10% higher than experiment. This is reasoned to be due to the increase in the condensed phase dipole moment over TIP4P-FQ, which estimates e remarkably well. Radial distribution functions for TIP4P-QDP and TIP4P-FQ show similar features, with TIP4P-QDP showing slightly reduced peak heights and subtle shifts towards larger distance interactions. Since the greatest effects of the phase-dependent polarizability are anticipated in regions with both liquid and vapor character, interfacial simulations of TIP4P-QDP were performed and compared to TIP4P-FQ, a static polarizability analog. Despite similar features in density profiles such as the position of the GDS and interfacial width, enhanced dipole moments are observed for the TIP4P-QDP interface and onset of the vapor phase. Water orientational profiles show an increased preference (over TIP4P-FQ) in the orientation of the permanent dipole vector of the molecule within the interface; an enhanced z-induced dipole moment directly results from this preference. Hydrogen bond formation is lower, on average, in the bulk for TIP4P-QDP than TIP4P-FQ. However, the average number of hydrogen bonds formed by TIP4P-QDP in the interface exceeds that of TIP4P-FQ, and observed hydrogen bond networks extend further into the gaseous region. The TIP4P-QDP interfacial potential, calculated to be -11.98(±0.08) kcal/mol, is less favorable than that for TIP4P-FQ by approximately 2% as a result of a diminished quadrupole contribution. Surface tension is calculated within a 1.3% reduction from the experimental value. Results reported demonstrate TIP4P-QDP as a model comparable to the popular TIP4P-FQ while accounting for a physical effect previously neglected by other water models. Further refinements to this model, as well as future applications are discussed.

Journal ArticleDOI
TL;DR: In this article, the microwave spectrum of formamide has been obtained in the frequency range from 49 to 340 GHz using the microwave spectrometer at the Institute of Radio Astronomy of NASU, Kharkov, Ukraine.