Abstract:The structural and electronic properties of the Li1+xV3O8 insertion electrode,
where 0 ≤ x < 0.4,
have been explored by means of x-ray four-circle diffraction and through
measurements of electrical resistivity, thermoelectric power, magnetization and
electron paramagnetic resonance. Detailed structure refinements for x = 0.06
and 0.29 reveal the preferential and partial reduction of V ions which may give
rise to low-dimensional electronic properties. The composition with x = 0
exhibits a quasi-one-dimensio… Show more
“…Since this material is empirically observed to be a semiconductor over the entire concentration range, we need to choose a large enough value of U such that all structures become semiconducting. The experimental measurement of Li1V3O8 single crystal 62 indicates a small bandgap of approximately 0.1eV, which is smaller than the value predicted by either DFT or DFT+U calculations for Li1V3O8 where the band gap is approximately 1.0eV. However, for higher values of lithiation, Li1+xV3O8, we can technically open a small gap within the 3d band with appropriate U for each configuration.…”
Section: A Electronic Structurementioning
confidence: 65%
“…The electron donated from lithium intercalates into toptactic compound to form an electron polaron which hops from one transition metal ion to another. In particular, M Onoda 62 found small polorans mainly exist on the V(2) and V(3) sites due to preferential reduction. In another study, Florent Boucher 64 also showed a preferential reduction sequence V(3)>V( 2)>V( 1) upon lithiation from XPS data.…”
Section: A Electronic Structurementioning
confidence: 99%
“…Onoda et al62 found highly anisotropic resistivity in Li1+xV3O8 and significant difference in energy gaps calculated from temperature dependent resistivity and thermoelectric power measurements, which suggests small polaron motion. This small polaron transport is commonly found in many other semiconducting compounds, e.g.…”
The phase behavior and kinetic pathways of Li1+xV3O8 are investigated by means of density functional theory (DFT) and a cluster expansion (CE) method that approximates the system Hamiltonian in order to identify the lowest energy configurations. Although DFT calculations predict the correct ground state for a given composition, both GGA and LDA fail to obtain phase stability consistent with experiment due to strongly localized vanadium 3d electrons. A DFT+U method recovers the correct phase stability for an optimized U value of 3.0 eV. GGA+U calculations with this value of U predict electronic structures that qualitatively agree with experiment. The resulting calculations indicate solid solution behavior from Li1V3O8 to Li2.5V3O8 and two-phase coexistence between Li2.5V3O8 and Li4V3O8. Analysis of the lithiation sequence from Li1V3O8 to Li2.5V3O8 reveals the mechanism by which lithium intercalation proceeds in this material. Calculations of lithium migration energies for different lithium concentrations and configurations provides insight into the relevant diffusion pathways and their relationship to structural properties.
“…Since this material is empirically observed to be a semiconductor over the entire concentration range, we need to choose a large enough value of U such that all structures become semiconducting. The experimental measurement of Li1V3O8 single crystal 62 indicates a small bandgap of approximately 0.1eV, which is smaller than the value predicted by either DFT or DFT+U calculations for Li1V3O8 where the band gap is approximately 1.0eV. However, for higher values of lithiation, Li1+xV3O8, we can technically open a small gap within the 3d band with appropriate U for each configuration.…”
Section: A Electronic Structurementioning
confidence: 65%
“…The electron donated from lithium intercalates into toptactic compound to form an electron polaron which hops from one transition metal ion to another. In particular, M Onoda 62 found small polorans mainly exist on the V(2) and V(3) sites due to preferential reduction. In another study, Florent Boucher 64 also showed a preferential reduction sequence V(3)>V( 2)>V( 1) upon lithiation from XPS data.…”
Section: A Electronic Structurementioning
confidence: 99%
“…Onoda et al62 found highly anisotropic resistivity in Li1+xV3O8 and significant difference in energy gaps calculated from temperature dependent resistivity and thermoelectric power measurements, which suggests small polaron motion. This small polaron transport is commonly found in many other semiconducting compounds, e.g.…”
The phase behavior and kinetic pathways of Li1+xV3O8 are investigated by means of density functional theory (DFT) and a cluster expansion (CE) method that approximates the system Hamiltonian in order to identify the lowest energy configurations. Although DFT calculations predict the correct ground state for a given composition, both GGA and LDA fail to obtain phase stability consistent with experiment due to strongly localized vanadium 3d electrons. A DFT+U method recovers the correct phase stability for an optimized U value of 3.0 eV. GGA+U calculations with this value of U predict electronic structures that qualitatively agree with experiment. The resulting calculations indicate solid solution behavior from Li1V3O8 to Li2.5V3O8 and two-phase coexistence between Li2.5V3O8 and Li4V3O8. Analysis of the lithiation sequence from Li1V3O8 to Li2.5V3O8 reveals the mechanism by which lithium intercalation proceeds in this material. Calculations of lithium migration energies for different lithium concentrations and configurations provides insight into the relevant diffusion pathways and their relationship to structural properties.
“…Charge carriers are small polarons which move along vanadium chains parallel to the b-axis. 36 Noteworthily, Onoda et al have obtained the same activation energy by dc-conductivity measurements on a Li 1.1 V 3 O 8 single crystal. Nevertheless the s p value obtained here is 110 times lower than that measured along the b-axis in a Li 1.1 V 3 O 8 single crystal.…”
Section: Electronic Transport Properties and Dielectric Relaxationsmentioning
confidence: 81%
“…31,32 A great deal of interest has been focused on the structural characterization and cyclability of this compound. [33][34][35] Onoda and Amemiya 36 have shown that Li 1.1 V 3 O 8 exhibits a quasi-one dimensional polaronic transport along vanadium chains (from V IV to V V ) parallel to the b-axis. The lithium self-diffusion coefficient D Li of about 5.6 Â 10 À12 to 9 Â 10 À12 cm 2 s À1 at RT was previously determined by 7 Li NMR.…”
The broadband dielectric spectroscopy (BDS) technique (40 to 10(10) Hz) is used here to measure the electronic transport across all observed size scales of a Li(1.1)V(3)O(8)-polymer-gel composite material for lithium batteries. Different electrical relaxations are evidenced, resulting from the polarizations at the different scales of the architecture: (i) atomic lattice (small-polaron hopping), (ii) particles, (iii) clusters of particles, and finally (iv) sample-current collector interface. A very good agreement with dc-conductivity measurements on a single macro-crystal [M. Onoda and I. Amemiya, J. Phys.: Condens. Matter, 2003, 15, 3079.] shows that the BDS technique does allow probing the bulk (intrinsic) electrical properties of a material in the form of a network of particles separated by boundaries in a composite. Moreover, this study highlights a lowering of the surface electronic conductivity of Li(1.1)V(3)O(8) particles upon adsorption of polar ethylene carbonate (EC) and propylene carbonate (PC) that trap surface polarons. This result is meaningful as EC and PC are typical constituents of a liquid electrolyte of lithium batteries. It is thus suggested that interactions between active material particles and the liquid electrolyte play a role in the electronic transport within composite electrodes used in a lithium battery.
The calculated values of lattice parameters a LSDS (a P BEsol ) are found to be ∼1.7%, ∼2.0% and ∼2.4% (∼0.6%, ∼0.7% and ∼0.7%) smaller than a exp for CdV 2 O 4 , MgV 2 O 4 and ZnV 2 O 4 , respectively, which indicates that the PBEsol functional predicts the lattice parameters in good agreement with the experimental data. The present study shows the importance of U ef in understanding the comparative electronic behaviour of these compounds.
II. INTRODUCTIONIn condensed matter physics, the local spin-density approximation (LSDA)/generalized gradient approximation (GGA) based on density functional theory has been one of the useful tool for understanding and predicting large range of properties of various materials 1-8 . These spinels have the face-centered cubic structure at room temperature. A strong geometrical frustration arises in these compounds due to the corner-sharing network of octahedra of magnetically coupled V atoms [15][16][17][18][19][20]22,24,31,32 Ry and 2 mRy/a.u., respectively. The equilibrium lattice parameters for these compounds are calculated by fitting the total energy difference between the volume dependent energies and energy corresponding to the equilibrium volume [∆E=E(V)-E(V eq )] per formula unit versus unit cell volume data using the universal equation of state 40 . The universal equation of state is defined as, In order to compute the numerical value of U ef , Anisimov and Gunnarsson have constructed a general supercell approach with the hopping term (connecting the 3d orbital of one atom with all other orbitals of remaining atoms) set to zero 14 . U ef for correlated 3d electrons are computed by varying the number of electrons in non-hybridizing 3d-shell by using following formula,where, ǫ 3d↑ and ǫ F are the spin-up 3d eigenvalue and the Fermi energy for the configuration of n up-spins and n down-spins, respectively. n is the total number of 3d electrons. Now, following the procedure given by Madsen and Novák, we have calculated the U ef of impurity V atom in these spinels by using WIEN2K code In order to calculate the equilibrium values of lattice parameter a for these compounds, we have plotted the total energy difference between the volume dependent energies and energy corresponding to the equilibrium volume [∆E=E(V)-E(V eq )] per formula unit with varying volume of the unit cell. The plot of ∆E versus volume for these compounds using LSDAand PBEsol functionals are shown in the Fig. 1(a-f). It is clear from the figure that both functionals give the parabolic behaviour for all these compounds. The volume corresponding to minimum energy gives the exact equilibrium volume for these compounds. Similarly, the deviation of x LSDA and x P BEsol for V atom is ∼0.02% from the x exp for this compound.Now, we calculate the U ef of impurity V atom for these spinels by using the Eqn. 1.The calculated values of U ef by using LSDA and PBEsol functionals (corresponding to theoretically computed values of lattice parameters and atomic coordinates) for all three compounds are shown in the Now,...
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