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1 that from conventional electric and magnetic multipoles.
2 eir surface charge distributions in terms of multipoles.
3 ciated with the familiar charge and magnetic multipoles.
4 tructed from interacting but state-dependent multipoles.
5 interactions involving electric and magnetic multipoles.
6 elastic distortions mimic both electrostatic multipoles(14) and the outermost occupied electron shell
7  or transform from monopoles to higher-order multipoles(4).
8 se to energy minima found in our Distributed Multipole Analysis based model calculations.
9 ernal ion reservoir consisting of an rf-only multipole and a pair of electrostatic lens elements.
10 can therefore be distinguished from electric multipole and magnetic dipole transitions.
11 t cannot be attributed to magnetic or charge multipoles and can only be explained by the existence of
12  discrete-element model including electrical multipoles and find that infinitesimally small initial c
13 the rf quadrupole ion guide, higher-order rf multipoles and rf stacked ring ion guides, in terms of t
14 d; the limitation is weaker for higher-order multipoles and stacked ring ion guides.
15 omplexes, may be realized using higher-order multipoles and stacked ring ion guides.
16 ovide a good approximation for high-order rf multipoles and stacked ring rf ion guides.
17                         Combined with force, multipole, and moment analysis, our results revealed tha
18 eed for force fields with polarizability and multipoles, and constant pH methods.
19  exhibits a long-range hidden order in which multipoles are formed from 10-spin loops.
20                                     Toroidal multipoles are fundamental electromagnetic excitations d
21                                   High-order multipoles are instead formed by smaller mesoflowers wit
22 wers'), linear quadrupoles (poles) and mixed multipole arrangements ('two tone'), which represent jus
23 tions(19) and optical control(20) of elastic multipoles, as well as their interactions with topologic
24 thin nematic cells are thus based on elastic multipoles consisting of a particle and nearby defects.
25                             We determine the multipole contributions to the nonlinear response of nan
26                       Quadrupoles and higher multipoles correspond to fundamental strain-carrying ent
27  Incorporation of external (to the ICR cell) multipole devices with FTICR for ion selection and ion a
28  force field, was chosen as it includes both multipole electrostatics and polarizability thought to b
29                       The polarizable atomic multipole electrostatics model implemented in the AMOEBA
30 les allowing us to define high-order elastic multipoles emerging when colloids with controlled shapes
31 hod allows for the measurement of local high-multipole excitations and is bulk-sensitive.
32     Implementing this concept by engineering multipole excitations in helicoidal plasmonic nanopartic
33 under magnetic field rotation, each magnetic multipole exhibits distinctive harmonics of the PHE osci
34  the model-independent approach based on the multipole expansion method to provide a stable and uniqu
35                                 We present a multipole expansion that covers a large family of locali
36 e model describing spectroscopy includes the multipole-field interaction, which leads to established
37 icant advantages over spectroscopy using the multipole-field interaction: flexible transition rules a
38 emonstrates that advanced polarizable atomic multipole force fields are efficient enough to repack th
39 y was modeled with use of the Hansen-Coppens multipole formalism, and features associated with both i
40 creates a condensate of the (n + 1)-th order multipoles, forming a hierarchy of multipolar condensate
41 haracterisation of the flow and transfers in multipole Hele-Shaw configurations.
42                     We particularly focus on multipole higher-order topological insulators built from
43 (simultaneous anapole conditions for all the multipoles in a particle leading to the nearly full scat
44  a strategy for identifying cluster magnetic multipoles in AFM systems and would promote octupole-bas
45  to detect and distinguish "cluster magnetic multipoles" in AFM Nd(2)Ir(2)O(7) (NIO-227) fully strain
46  drive continuous transformations of elastic multipoles induced by the droplets within the uniformly
47 es increases, which results in higher dipole-multipole interactions.
48 , without relying on the weaker higher-order multipole interactions.
49 collisional activation, similarly to RF-only multipole ion guides and traps.
50                         Radio frequency (RF) multipole ion guides that allow for collisional cooling
51 sight into the ion dynamics occurring inside multipole ion guides.
52 rbitrap Ascend includes a second ion-routing multipole (IRM) in front of the redesigned C-trap/Orbitr
53 p Ascend Tribrid MS include dual ion routing multipoles (IRMs) that enable parallelized accumulation,
54 sual colloidal crystals formed by high-order multipoles like hexadecapoles.
55 generated by a core dynamo, but higher order multipoles may be important as they are at Uranus and Ne
56                      Here, we apply the fast multipole method (FMM) for computing the electrostatic f
57 bspace methods and a new version of the fast multipole method.
58                           The Hansen-Coppens multipole model as implemented in the XD program gave R
59  estrone crystal has been described with the multipole model, which allowed extensive topological ana
60 crystal was modeled using the Hansen-Coppens multipole model.
61 density was modeled using the Hansen-Coppens multipole model.
62 the methodology based on the exact potential multipole moment (EPMM) or classical molecular mechanics
63 r refinement and electrostatic potential and multipole moment calculations precisely map electron den
64 ng structural unit that carries an ME-active multipole moment.
65 CG beads in an effort to reproduce molecular multipole moments and charge asymmetry of full-length an
66    We extend this concept to higher electric multipole moments and determine the necessary conditions
67                          Three types of such multipole moments are known: toroidal; monopole; and qua
68 significantly better than that obtained with multipole moments derived directly from the aspherical a
69    So far, however, the ME activity of these multipole moments has only been established experimental
70                                         Such multipole moments have broken space-inversion and time-r
71 ts highlight the importance of electrostatic multipole moments in determining aromatic-aromatic inter
72 onal change reveal that, with the side chain multipole moments intact (+MP), the EtF conformation is
73 ed by the magnitudes and orientations of the multipole moments of varying order.
74                              Using high rank multipole moments we show that the atomic partitioning o
75 harmonic expansion allow us to probe elastic multipole moments, bringing analogies with electromagnet
76 hallenging to achieve higher-order quantized multipole moments, such as octupole moments, in a three-
77 ts, multiple spins can combine into emergent multipole moments.
78 hase transitions from higher- to lower-order multipole moments.
79 ized f or d shells that may harbor high-rank multipole moments.
80 27, we artificially induced cluster magnetic multipoles, namely dipoles and A(2)- and T(1)-octupoles.
81                     Here we demonstrate high-multipole nonlinear optical polarimetry as a sensitive a
82 ers Q-IM-TOF, or the exit lens of a transfer multipole of a Thermo Scientific Extended Mass Range (EM
83 ructures of gold capable of inducing elastic multipoles of different order.
84 ers with a myriad of shapes corresponding to multipoles of different orders, consistent with our comp
85          However, removing the electrostatic multipoles of the Trp side chains while retaining the di
86      Here, we combine the polarizable atomic multipole optimized energetics for biomolecular applicat
87 l functionalities are closely related to the multipole order, which can produce unconventional cross
88 hich is due to the inclusion of higher-order multipole parameters; this, in turn, begets more head-on
89 ly and theoretically the lattice coupling of multipole plasmon modes for closely spaced gold nanorod
90                     This lattice coupling of multipole plasmon modes is of broad interest not only fo
91  approach for accurate evaluation of dynamic multipole polarizabilities and van der Waals (vdW) coeff
92                  Our theory predicts dynamic multipole polarizabilities in excellent agreement with m
93  orders from the electron density and static multipole polarizabilities of each atom or other spheric
94  observables (interaction energy, transition multipoles, polarizability tensors) on coarse-grained re
95 we show that higher-dimension invariant, the multipole polarization, retains its quantization in the
96 ith ambient gas molecules in an intermediate multipole (q00) of the instrument.
97                                              Multipole refinement against high-resolution X-ray diffr
98 ons of electron density, which we trace with multipole refinement and detailed analysis of changes in
99   We recently developed a polarizable atomic multipole refinement method assisted by the AMOEBA force
100 -C(5)H(5))(2)Fe(2) (4) have been obtained by multipole refinement of high-resolution X-ray diffractio
101 wavelength were analyzed theoretically using multipole scattering theory, where the complex refractiv
102                                      Using a multipole shielding polarizability-local reaction field
103                                              Multipole solutions yield non-dipolar contributions of 2
104 oles should relax to uniform or higher-order multipole states because of the elastic torques that the
105                   An alternative approach of multipole-storage-assisted dissociation (MSAD) has previ
106 ng collisional fragmentation in the external multipole that is usually employed for ion accumulation.
107  (NIM) phenomenon is accompanied by electric multipoles that add up non-radiatively and correlates wi
108 be described as interactions between elastic multipoles that depend on particle shape, topology, chir
109                  In contrast to conventional multipoles, the toroidal dipole interaction strength dep
110           Focusing on the three lowest-order multipoles-the total charge, dipole, and quadrupole mome
111                Recently introduced quantized multipole topological insulators (QMTIs) reveal new type
112 er states in 4D HOTI and the hallmark of the multipole topological phase, which is meaningless in low
113 tween light and matter also involve toroidal multipoles-toroidal absorption lines have been observed
114               The kinetics of the n-th order multipoles unavoidably creates a condensate of the (n +
115 imilar to electrostatic interactions between multipoles, which also lends a naming analogy as elastic
116 ctromagnetic interactions involving toroidal multipoles, which could be present in naturally occurrin
117 ables fabrication of nonlinear optical (NLO) multipoles with extraordinary hyperpolarizabilities.

 
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