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61.
P. M. Gauthier N. Tarkhanov 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2008,43(6):353-364
Approximation theorems, analogous to results known for linear elliptic equations, are obtained for solutions of the heat equation. Via the Cole-Hopf transformation, this gives rise to approximation theorems for one of the simplest examples of a nonlinear partial differential equation, Burgers’ equation. 相似文献
62.
In an exactly solvable model of separable potentials a two channel scattering problem is solved in l = 0 state. The location and the width of a resonance are then defined in three different ways and the resonance parameters so extracted are then compared. This problem is of interest vis-a-vis the Δ(3, 3) resonance parameters. 相似文献
63.
Given continuous functionsu and ∈ on a closed subsetF of a Riemann surface, we seek a harmonic functionv on the surface (possibly with logarithmic singularities) such that |u−v|<∈ onF.
Research supported in part by NSERC—Canada and FCAR—Quebec. 相似文献
64.
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66.
A. Lopez M. M. Gauthier R. Martino A. Lattes 《Magnetic resonance in chemistry : MRC》1979,12(7):418-428
Although nitrogen inversion in unsubstituted aziridines has been shown by 1H NMR, it was only possible to study quantitatively the distribution of both invertomers and determine the thermodynamic parameters by a systematic high field NMR study (CAMECA 250 MHz). Thermodynamic parameters have been determined for 32 compounds. In C-aryl aziridines, the steric hindrance of the aromatic group and its variation with other aziridine ring substituents can be studied. These observations are in agreement with a conjugation phenomenon between the aromatic system and the aziridine ring. 相似文献
67.
During a study of neutralization luminescence following photoionization of aromatic solutes in rigid organic glasses, a new type of long-lived luminescence has been observed simultaneously with the well-known neutralization luminescence following biphotonic ionization. It has been extensively studied for tetramethyl-p-phenylenediamine in methylcyclohexane or ethanol: it is one-photon excited but differs from the ordinary luminescence by the emission spectrum (λmax 430 nm compared to λmax f. 395 nm and λmax ph. 490 nm in ethanol) and by the excitation spectrum, the present luminescence being observed only for short wavelength excitation. Finally the lifetime (of the order of seconds) depends on experimental conditions. Other solid and liquid phase studies suggest that the precursor of this new luminescence is a solute-solvent charge transfer state. 相似文献
68.
R. C. Gauthier 《Optics & Laser Technology》1993,25(5)
In this paper the power coupling expression between two identical axially aligned and spatially separated waveguides is presented. Calculations using the coupling expression for a Gaussian mode profile in the input waveguide produce results that are in excellent agreement with experimental observations. 相似文献
69.
Vanhaelewyn GC Pauwels E Callens FJ Waroquier M Sagstuen E Matthys PF 《The journal of physical chemistry. A》2006,110(6):2147-2156
Beta-D-fructose single crystals were in situ X-irradiated at 80 K and measured using electron paramagnetic resonance (EPR), electron nuclear double resonance (ENDOR) and ENDOR-induced EPR (EIE) techniques at Q-band (34 GHz) microwave frequencies. The measurements revealed the presence of at least four carbon-centered radicals stable at 80 K. By means of ENDOR angular variations in the three principal crystallographic planes, six proton hyperfine coupling tensors could be determined and were assigned to four different radicals by the aid of EIE. Two of the radicals exhibit only beta-proton hyperfine couplings and reveal almost identical EIE spectra. For the other two radicals, the major hyperfine splitting originates from a single alpha-proton hyperfine coupling and their EIE spectra were also quite similar. The similarity of the EIE spectra and hyperfine tensors led to the assumption that there are only two essentially different radical structures. The radical exhibiting only beta-proton hyperfine couplings was assigned to a C3 centered radical arising from H3 abstraction and the other radical suggested to be an open-ring species with a disrupted C2-C3 bond and a double C2-O2 bond. A possible formation mechanism for the latter open-ring radical is presented. By means of cluster density functional theory (DFT) calculations, the structures of the two radicals were determined and a fairly good agreement between the calculated and experimental hyperfine tensors was found. 相似文献
70.
The Pd8Ni92(1 1 1) surface was studied using low-energy electron diffraction (LEED). IV spectra collected close to normal incidence were analysed by dynamical tensor LEED. Composition and interlayer spacings were determined for first four atomic layers. The surface slab is found to be enriched in Pd (30% in total against 8% in bulk) but this extra palladium is irregularly distributed over the four topmost layers. Contrary to previous reports, the palladium amount, as compared to the bulk, is not significantly changed in the surface layer and it is enriched to 20% only in the third layer. The detected contractions of interlayer spacings are all but one (d34) within the error limits of no contraction at all. We also discuss some aspects of correlations between the fit parameters. 相似文献