Solvothermal reactions of 4,4＇-oxybis（benzoic acid） （H2oba） with 1,3-dipyridyl benzene （1,3-dpb） produced a two-dimensional （2D） cadmium（Ⅱ） coordination polymer {[Cd（oba）（dpb）]·H2O}n （1）. The co...Solvothermal reactions of 4,4＇-oxybis（benzoic acid） （H2oba） with 1,3-dipyridyl benzene （1,3-dpb） produced a two-dimensional （2D） cadmium（Ⅱ） coordination polymer {[Cd（oba）（dpb）]·H2O}n （1）. The complex was characterized by elemental analysis, IR spectroscopy, and X-ray single-crystal diffraction. It crystallizes in the monoclinic system, space group C2/c with a = 13.6692（9）, b = 25.9647（17）, c = 8.7912（6） , α = 125.0370（10）, γ = 2544.7（3）°, V = 2544.7（3） 3, C30H22N2O6Cd, Mr = 618.91, Dc =1.609 g/cm3, F（000） = 1248, μ = 0.904 mm-1 and Z = 4. The neighboring Cd（Ⅱ） ions are linked by oba2-anions and 1,3-dpb to form an infinitely 2D wavelike sheet, and two such 2D sheets are interlocked with each other by H-bonding to form a 2D → 2D structure. The adjacent two groups of interlocked structures are further linked to form a bilayer 2D supramolecular network by π-π interactions. In addition, the fluorescence property of 1 was also studied.展开更多
A novel soluble regular ladder poly（benzoyl-3-aminopropyl） silsesquioxane （LPBAS） was facilely prepared under effective assistance of concerted H-bonding self-assembly of amido groups of side chains and silanol gr...A novel soluble regular ladder poly（benzoyl-3-aminopropyl） silsesquioxane （LPBAS） was facilely prepared under effective assistance of concerted H-bonding self-assembly of amido groups of side chains and silanol groups, respectively, of a new template monomer [1,3-bis（benzoyl-3-aminopropyl）-1,1,3,3-tetraethoxydisiloxane] （M）. The ordered ladder structure of LPBAS is manifested in： （1） the presence of two Bragg peaks representing the ladder width （d） and ladder thickness （t） in X-ray diffraction （XRD） pattern; （2） narrow base-line width （w = 6） of resonance absorption for -CH2SiO3/2 moiety in 29Si-NMR and （3） high glass transition temperature Tg = 1 12℃ in differential scanning calorimetry （DSC） analysis.展开更多
Investigating the impact of microhydration on the excited-states and electronic excitation properties of biomolecules has remained one of the important yet challenging aspects of science because of the complexity of d...Investigating the impact of microhydration on the excited-states and electronic excitation properties of biomolecules has remained one of the important yet challenging aspects of science because of the complexity of developing models. However, with the advent of computational chemistry methods such as TD-DFT, many useful insights about the electronic excitation energy and excited-state nature of biomolecules can be explored. Accordingly, in our study, we have incorporated the TD-DFT/wB97XD/cc-pVTZ method to study the excited state properties of N-acetyl phenylalanine amide (NAPA-A(H<sub>2</sub>O) <sub>n</sub>) (n = 1 to 4) clusters from ground to the tenth lowest gaseous singlet excited state. We found that the C=O bond length gradually increases both in N-terminal amide and C-terminal amide after the sequential addition of water molecules because of intermolecular H-bonding and this intermolecular H-bonding becomes weaker after the sequential addition of H<sub>2</sub>O molecules. The UV absorption maxima of NAPA-A (H<sub>2</sub>O)<sub>n</sub> (n = 1 - 4) clusters consisted of two peaks that are S<sub>5</sub>←S<sub>0</sub> (1<sup>st</sup> absorption) and S<sub>6</sub>←S<sub>0</sub> (2<sup>nd</sup> absorption) excitations. The first absorption maxima were blue-shifted with the increase in oscillator strength. This means that strong H-bonds reduce the charge transfer and make clusters more rigid. On the other hand, the second absorption maxima were red-shifted with the decrease in oscillator strength. In the ECD spectra, the negative bands indicate the presence of an amide bond and L-configuration of micro hydrated NAPA-A clusters. Finally, our calculated absorption and fluorescence energy confirm that all the NAPA-A (H<sub>2</sub>O) <sub>n</sub> (n = 0 - 4) clusters revert to the ground state from the fluorescent state by emitting around 5.490 eV of light.展开更多
A supramolecular complex of Cd（II） with 1D water tapes as pillars[Cd2（dpa）2（phen）2（H2O）2]·6H2O 1 （H2dpa = diphenic acid, phen = phenanthroline）, has been synthesized and characterized by elemental analy...A supramolecular complex of Cd（II） with 1D water tapes as pillars[Cd2（dpa）2（phen）2（H2O）2]·6H2O 1 （H2dpa = diphenic acid, phen = phenanthroline）, has been synthesized and characterized by elemental analysis, IR spectroscopy, and single-crystal X-ray diffraction analysis. The crystal is of triclinic, space group P1^- with a = 9.7029（4）, b = 11.9601（5）, c = 12.1788（4） A, α = 71.6990（10）, β = 71.8740（10）, γ = 74.4680（10）°, V = 1252.39（8） A^3, C52H48Cd2N4O16, Mr = 1209.76, Z= 1, Dc = 1.604 g/cm^3,μ = 0.925 mm^-1, F（000） = 612, R = 0.0679 and wR = 0.2514 for 3870 observed reflections （I 〉 2σ（I））. Two intramolecular Cd（II） centers of this complex are encircled by two dpa^2- ligands forming an 18-membered ring, which is further assembled into a pillared three-dimensional （3D） supramolecular architecture through the synergetic effect of intermolecular face-to-face π…π stacking and weak O-H…O hydrogen-bonding interactions. Moreover, this complex exhibits photoluminescence with the main emission bands located at about 456 nm upon excitation at 355 nm in the solid state at room temperature.展开更多
Supramolecular polymer networks(SPNs)have gained increasing research attention due to their reversible and tunable nature in the preparation of adaptive materials.The use of hierarchical self-assembly techniques is an...Supramolecular polymer networks(SPNs)have gained increasing research attention due to their reversible and tunable nature in the preparation of adaptive materials.The use of hierarchical self-assembly techniques is an emerging strategy for the fabrication of smart supramolecular polymer networks,but corresponding study is still rare.Herein,we have reported a novel supramolecular polymer network through complementary host-guest interactions and phototriggered quadruple H-bonding cross-linking.Specifically,we design and synthesize an H1G1-type monomer consisting of a benzo-21-crown-7(B21C7)host(H1),a dialkylammonium salt guest(G1)and a photolabile o-nitrobenzyl ether protected ureidopyrimidinone(Upy)moiety.B21C7 and ammonium moieties can first form a linear supramolecular polymer through complementary host-guest interactions.Under photoirradiation,the Upy groups on the SP side chains were released,and the obtained linear supramolecular polymer could be further transformed into SPN through a quadruple H-bonding cross-linking.Meanwhile,the in situ transformation in the solid state is also accompanied by pronounced enhancement in mechanical properties,which provides foundation for further application of materials in different scenarios.展开更多
A novel 2-D supramolecular network formed by the Fe3O building unit through three hydrogen bonds [Fe3O(O2CCH2OC6H5)6(3H2O)]NO3·2H2O (1) are presented. The title complex crystallizes in monoclinic, space group P21...A novel 2-D supramolecular network formed by the Fe3O building unit through three hydrogen bonds [Fe3O(O2CCH2OC6H5)6(3H2O)]NO3·2H2O (1) are presented. The title complex crystallizes in monoclinic, space group P21/n, with a=1.709 3(2) nm, b=3.152 9(3) nm, c=1.021 2(2) nm, V=5.503 5(14) nm3, Z=4, D(calc)=1.500 g·cm-3, F(000)=2 564. Each Fe3O unit is connected by three NO3-ions and inversely each NO3-ion is surrounded by three Fe3O moieties. It shows that the well-known Fe3O unit is a potential three H-donors and may be able to be a three-connected linker. This complex displays weak anti-ferromagnetic coupling between Fe(Ⅲ) centers. Electrochemical experiments were carried out to obtain the character of its redox reaction. CCDC: 222011.展开更多
Coordination polymers(CPs) are emerging as the next generation of macromolecule materials in many industrial and technological applications,e.g.gas/humidity sensing.The design of CP-based sensors with high performance...Coordination polymers(CPs) are emerging as the next generation of macromolecule materials in many industrial and technological applications,e.g.gas/humidity sensing.The design of CP-based sensors with high performance and low cost is of significance,but this work is still in the infancy stage.In this contribution,a new one dimensional(1D) CP has been successfully synthesized by a simple solvent evaporation method at room temperature,namely [Co(DPP)(H_(2)O)_(2)]n·(TCA)2(H_(2)O)_(4)(named as Co-1,HTCA=3-thiophenezoic acid,DPP=1,3-di(4-pyridyl)propane).The Co-1 structure contains abundant H-bonding interactions,weaving it from 1D chain structure into three dimensional(3D) pillared-layer structure.As an impedimetric humidity sensing material,this CP exhibits short response time,small hysteresis,excellent repeatability,and good stability in the working range of 11%-97% relative humidity(RH).Furthermore,it also shows excellent performance in monitoring the moisture content of human finger skin.By analyzing the complex impedance spectra,the humidity sensing mechanism of Co-1 sensor was expounded at different RH ranges.展开更多
A novel, reactive amide-bridged ladder polyvinylsiloxane （abbr. LP） with Mn= 2.4×10^4 was synthesized for the first time by means of aryl amide H-bonding self-assembled template. The regularity of LP was charac...A novel, reactive amide-bridged ladder polyvinylsiloxane （abbr. LP） with Mn= 2.4×10^4 was synthesized for the first time by means of aryl amide H-bonding self-assembled template. The regularity of LP was characterized by the XRD, ^29Si NMR and DSC methods. XRD analysis demonstrated the ladder width w = 9.09A and the ladder thickness t = 3.89A, respectively, which are approximately consistent with the molecular simulation-calculated ones： w＇= 10.60A and t＇= 3.06A. ^29Si NMR displayed a resonance peak with small half peak width, △1/2 - 4 ppm, for the moiety [=Si（Vi）O2/2-]n of LP. Besides, as a collateral evidence, DSC measurement revealed a high glass transition temperature Tg = 225℃, suggesting high stiffness of the ladder main chain of LP.展开更多
Reactions between the 1,3-bis(6-methylpyridin-2-yl) pyridine ligand L,C17H15N3 and LnIII(1a,1b,1c,1d) or a mixture of LnIII and CuII nitrates(2a,2b,2c,2d) resulted in a series of respectively novel mono-and heterodinu...Reactions between the 1,3-bis(6-methylpyridin-2-yl) pyridine ligand L,C17H15N3 and LnIII(1a,1b,1c,1d) or a mixture of LnIII and CuII nitrates(2a,2b,2c,2d) resulted in a series of respectively novel mono-and heterodinuclea r complexes,where LnIII=Sm(a) ,Eu(b) ,Tb(c) ,Dy(d) . The compounds were char acterized by elemental analysis,ESI-MS and IR spectra,furthermore we obtained crystals of [H2L][Eu(NO3) 5](1b) and [CuL2][Eu(NO3) 5](2b) suitable for XRD char acterization. In the crystal structures the Eu ions are 10-coordinated with quit e a narrow range of Eu-O distances which are between 0.2436 and 0.2556 nm. In 1b the ligand molecule is protonated in both terminal rings,and the N-H groups ar e involved in the N-H…O hydrogen bonds with the same oxygen atom of one of the nitro groups. These hydrogen bonds connect the ions in 1b into the complex which is the principal building block of the structure. In 2b the [CuL2]2+ counterion s are present;the Cu is octahedrally coordinated by all nitrogen iatoms of two L molecules which are therefore almost perpendicular to each other. The electros tatic interactions between the charged species are in both cases the main drivin g force of the crystal packing.展开更多
The X-ray crystal structures of (NH4)2(15-crown-5)3[Cu(mnt)2] (1) and(NH4)2(benzo-15-crown-5)4-[Cu(mnt)2] ident to 0.5H2O (2) were determined.Two single crystals arecomposed of distinct structures of ammonium-crown et...The X-ray crystal structures of (NH4)2(15-crown-5)3[Cu(mnt)2] (1) and(NH4)2(benzo-15-crown-5)4-[Cu(mnt)2] ident to 0.5H2O (2) were determined.Two single crystals arecomposed of distinct structures of ammonium-crown ether supramolecular cation and [Cu(mnt)2]^(2-)anion.The triple-decker dication in complex 1 and a sandwich dimmer in complex 2 wereobserved.X-Band EPR studies on the single crystals of both complex 1 and complex 2 have been carriedout at room temperature,which revealed that complex 2 showed a perfect hyperfine structure of Cuwhereas that of complex 1 could not be observed.The principal values and direction cosines of theprincipal axes of the g and A tensors were computed by a least-squares fitting procedure.The spindensity of Cu(ll) was estimated according to the principal values of the A tensors and compared wellwith the results calculated based on DFT method.展开更多
基金supported by the National Natural Science Foundation of China (21071004, 51173002)the Start-up Foundation and the young teacher’s research foundation of Anhui University of Science and Technology (11227, 2012QNZ08)the Research fund of Key Laboratory for Advanced Technology in Environmental Protection of Jiangsu Province (AE 201107)
文摘Solvothermal reactions of 4,4＇-oxybis（benzoic acid） （H2oba） with 1,3-dipyridyl benzene （1,3-dpb） produced a two-dimensional （2D） cadmium（Ⅱ） coordination polymer {[Cd（oba）（dpb）]·H2O}n （1）. The complex was characterized by elemental analysis, IR spectroscopy, and X-ray single-crystal diffraction. It crystallizes in the monoclinic system, space group C2/c with a = 13.6692（9）, b = 25.9647（17）, c = 8.7912（6） , α = 125.0370（10）, γ = 2544.7（3）°, V = 2544.7（3） 3, C30H22N2O6Cd, Mr = 618.91, Dc =1.609 g/cm3, F（000） = 1248, μ = 0.904 mm-1 and Z = 4. The neighboring Cd（Ⅱ） ions are linked by oba2-anions and 1,3-dpb to form an infinitely 2D wavelike sheet, and two such 2D sheets are interlocked with each other by H-bonding to form a 2D → 2D structure. The adjacent two groups of interlocked structures are further linked to form a bilayer 2D supramolecular network by π-π interactions. In addition, the fluorescence property of 1 was also studied.
基金This work was financially supported by NSFC (Nos. 50073028, 29974036 and 20174047).
文摘A novel soluble regular ladder poly（benzoyl-3-aminopropyl） silsesquioxane （LPBAS） was facilely prepared under effective assistance of concerted H-bonding self-assembly of amido groups of side chains and silanol groups, respectively, of a new template monomer [1,3-bis（benzoyl-3-aminopropyl）-1,1,3,3-tetraethoxydisiloxane] （M）. The ordered ladder structure of LPBAS is manifested in： （1） the presence of two Bragg peaks representing the ladder width （d） and ladder thickness （t） in X-ray diffraction （XRD） pattern; （2） narrow base-line width （w = 6） of resonance absorption for -CH2SiO3/2 moiety in 29Si-NMR and （3） high glass transition temperature Tg = 1 12℃ in differential scanning calorimetry （DSC） analysis.
文摘Investigating the impact of microhydration on the excited-states and electronic excitation properties of biomolecules has remained one of the important yet challenging aspects of science because of the complexity of developing models. However, with the advent of computational chemistry methods such as TD-DFT, many useful insights about the electronic excitation energy and excited-state nature of biomolecules can be explored. Accordingly, in our study, we have incorporated the TD-DFT/wB97XD/cc-pVTZ method to study the excited state properties of N-acetyl phenylalanine amide (NAPA-A(H<sub>2</sub>O) <sub>n</sub>) (n = 1 to 4) clusters from ground to the tenth lowest gaseous singlet excited state. We found that the C=O bond length gradually increases both in N-terminal amide and C-terminal amide after the sequential addition of water molecules because of intermolecular H-bonding and this intermolecular H-bonding becomes weaker after the sequential addition of H<sub>2</sub>O molecules. The UV absorption maxima of NAPA-A (H<sub>2</sub>O)<sub>n</sub> (n = 1 - 4) clusters consisted of two peaks that are S<sub>5</sub>←S<sub>0</sub> (1<sup>st</sup> absorption) and S<sub>6</sub>←S<sub>0</sub> (2<sup>nd</sup> absorption) excitations. The first absorption maxima were blue-shifted with the increase in oscillator strength. This means that strong H-bonds reduce the charge transfer and make clusters more rigid. On the other hand, the second absorption maxima were red-shifted with the decrease in oscillator strength. In the ECD spectra, the negative bands indicate the presence of an amide bond and L-configuration of micro hydrated NAPA-A clusters. Finally, our calculated absorption and fluorescence energy confirm that all the NAPA-A (H<sub>2</sub>O) <sub>n</sub> (n = 0 - 4) clusters revert to the ground state from the fluorescent state by emitting around 5.490 eV of light.
基金the State Key Basic Research and Development Plan of China (001CB108906)the Knowledge Innovation Program of the Chinese Academy of Sciences, the NSF (2006J0015)the Major Special Foundation of Fujian Province (2005HZ1027, 2005HZ01-1)
文摘A supramolecular complex of Cd（II） with 1D water tapes as pillars[Cd2（dpa）2（phen）2（H2O）2]·6H2O 1 （H2dpa = diphenic acid, phen = phenanthroline）, has been synthesized and characterized by elemental analysis, IR spectroscopy, and single-crystal X-ray diffraction analysis. The crystal is of triclinic, space group P1^- with a = 9.7029（4）, b = 11.9601（5）, c = 12.1788（4） A, α = 71.6990（10）, β = 71.8740（10）, γ = 74.4680（10）°, V = 1252.39（8） A^3, C52H48Cd2N4O16, Mr = 1209.76, Z= 1, Dc = 1.604 g/cm^3,μ = 0.925 mm^-1, F（000） = 612, R = 0.0679 and wR = 0.2514 for 3870 observed reflections （I 〉 2σ（I））. Two intramolecular Cd（II） centers of this complex are encircled by two dpa^2- ligands forming an 18-membered ring, which is further assembled into a pillared three-dimensional （3D） supramolecular architecture through the synergetic effect of intermolecular face-to-face π…π stacking and weak O-H…O hydrogen-bonding interactions. Moreover, this complex exhibits photoluminescence with the main emission bands located at about 456 nm upon excitation at 355 nm in the solid state at room temperature.
基金This work was supported by the National Natural Science Foundation of China(Nos.22122105,22071152,22101175 and 21901161)the Natural Science Foundation of Shanghai,China(No.20ZR1429200)the State Key Laboratory Project for Mechanical Behavior of Materials,Xi'an Jiaotong University,China(No.20222409).
文摘Supramolecular polymer networks(SPNs)have gained increasing research attention due to their reversible and tunable nature in the preparation of adaptive materials.The use of hierarchical self-assembly techniques is an emerging strategy for the fabrication of smart supramolecular polymer networks,but corresponding study is still rare.Herein,we have reported a novel supramolecular polymer network through complementary host-guest interactions and phototriggered quadruple H-bonding cross-linking.Specifically,we design and synthesize an H1G1-type monomer consisting of a benzo-21-crown-7(B21C7)host(H1),a dialkylammonium salt guest(G1)and a photolabile o-nitrobenzyl ether protected ureidopyrimidinone(Upy)moiety.B21C7 and ammonium moieties can first form a linear supramolecular polymer through complementary host-guest interactions.Under photoirradiation,the Upy groups on the SP side chains were released,and the obtained linear supramolecular polymer could be further transformed into SPN through a quadruple H-bonding cross-linking.Meanwhile,the in situ transformation in the solid state is also accompanied by pronounced enhancement in mechanical properties,which provides foundation for further application of materials in different scenarios.
文摘A novel 2-D supramolecular network formed by the Fe3O building unit through three hydrogen bonds [Fe3O(O2CCH2OC6H5)6(3H2O)]NO3·2H2O (1) are presented. The title complex crystallizes in monoclinic, space group P21/n, with a=1.709 3(2) nm, b=3.152 9(3) nm, c=1.021 2(2) nm, V=5.503 5(14) nm3, Z=4, D(calc)=1.500 g·cm-3, F(000)=2 564. Each Fe3O unit is connected by three NO3-ions and inversely each NO3-ion is surrounded by three Fe3O moieties. It shows that the well-known Fe3O unit is a potential three H-donors and may be able to be a three-connected linker. This complex displays weak anti-ferromagnetic coupling between Fe(Ⅲ) centers. Electrochemical experiments were carried out to obtain the character of its redox reaction. CCDC: 222011.
基金financially supported by the Tianjin Municipal Education Commission (No. 2018KJ271)National Natural Science Foundation of China (NSFC, No. 21601094, 21401139, and 21271139)。
文摘Coordination polymers(CPs) are emerging as the next generation of macromolecule materials in many industrial and technological applications,e.g.gas/humidity sensing.The design of CP-based sensors with high performance and low cost is of significance,but this work is still in the infancy stage.In this contribution,a new one dimensional(1D) CP has been successfully synthesized by a simple solvent evaporation method at room temperature,namely [Co(DPP)(H_(2)O)_(2)]n·(TCA)2(H_(2)O)_(4)(named as Co-1,HTCA=3-thiophenezoic acid,DPP=1,3-di(4-pyridyl)propane).The Co-1 structure contains abundant H-bonding interactions,weaving it from 1D chain structure into three dimensional(3D) pillared-layer structure.As an impedimetric humidity sensing material,this CP exhibits short response time,small hysteresis,excellent repeatability,and good stability in the working range of 11%-97% relative humidity(RH).Furthermore,it also shows excellent performance in monitoring the moisture content of human finger skin.By analyzing the complex impedance spectra,the humidity sensing mechanism of Co-1 sensor was expounded at different RH ranges.
文摘A novel, reactive amide-bridged ladder polyvinylsiloxane （abbr. LP） with Mn= 2.4×10^4 was synthesized for the first time by means of aryl amide H-bonding self-assembled template. The regularity of LP was characterized by the XRD, ^29Si NMR and DSC methods. XRD analysis demonstrated the ladder width w = 9.09A and the ladder thickness t = 3.89A, respectively, which are approximately consistent with the molecular simulation-calculated ones： w＇= 10.60A and t＇= 3.06A. ^29Si NMR displayed a resonance peak with small half peak width, △1/2 - 4 ppm, for the moiety [=Si（Vi）O2/2-]n of LP. Besides, as a collateral evidence, DSC measurement revealed a high glass transition temperature Tg = 225℃, suggesting high stiffness of the ladder main chain of LP.
基金Project support by the Polish Ministry of Higher Education and Science (NN 204 2716 33)
文摘Reactions between the 1,3-bis(6-methylpyridin-2-yl) pyridine ligand L,C17H15N3 and LnIII(1a,1b,1c,1d) or a mixture of LnIII and CuII nitrates(2a,2b,2c,2d) resulted in a series of respectively novel mono-and heterodinuclea r complexes,where LnIII=Sm(a) ,Eu(b) ,Tb(c) ,Dy(d) . The compounds were char acterized by elemental analysis,ESI-MS and IR spectra,furthermore we obtained crystals of [H2L][Eu(NO3) 5](1b) and [CuL2][Eu(NO3) 5](2b) suitable for XRD char acterization. In the crystal structures the Eu ions are 10-coordinated with quit e a narrow range of Eu-O distances which are between 0.2436 and 0.2556 nm. In 1b the ligand molecule is protonated in both terminal rings,and the N-H groups ar e involved in the N-H…O hydrogen bonds with the same oxygen atom of one of the nitro groups. These hydrogen bonds connect the ions in 1b into the complex which is the principal building block of the structure. In 2b the [CuL2]2+ counterion s are present;the Cu is octahedrally coordinated by all nitrogen iatoms of two L molecules which are therefore almost perpendicular to each other. The electros tatic interactions between the charged species are in both cases the main drivin g force of the crystal packing.
基金Supported by the National Natural Science Foundation of China (Grant No. 20490218)
文摘The X-ray crystal structures of (NH4)2(15-crown-5)3[Cu(mnt)2] (1) and(NH4)2(benzo-15-crown-5)4-[Cu(mnt)2] ident to 0.5H2O (2) were determined.Two single crystals arecomposed of distinct structures of ammonium-crown ether supramolecular cation and [Cu(mnt)2]^(2-)anion.The triple-decker dication in complex 1 and a sandwich dimmer in complex 2 wereobserved.X-Band EPR studies on the single crystals of both complex 1 and complex 2 have been carriedout at room temperature,which revealed that complex 2 showed a perfect hyperfine structure of Cuwhereas that of complex 1 could not be observed.The principal values and direction cosines of theprincipal axes of the g and A tensors were computed by a least-squares fitting procedure.The spindensity of Cu(ll) was estimated according to the principal values of the A tensors and compared wellwith the results calculated based on DFT method.
