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Crystals, Volume 6, Issue 6 (June 2016) – 9 articles

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3205 KiB  
Article
Control of Cellular Arrangement by Surface Topography Induced by Plastic Deformation
by Aira Matsugaki and Takayoshi Nakano
Crystals 2016, 6(6), 73; https://doi.org/10.3390/cryst6060073 - 22 Jun 2016
Cited by 10 | Viewed by 5033
Abstract
The anisotropic microstructure of bone tissue is crucial for appropriate mechanical and biological functions of bone. We recently revealed that the construction of oriented bone matrix is established by osteoblast alignment; there is a quite unique correlation between cell alignment and cell-produced bone [...] Read more.
The anisotropic microstructure of bone tissue is crucial for appropriate mechanical and biological functions of bone. We recently revealed that the construction of oriented bone matrix is established by osteoblast alignment; there is a quite unique correlation between cell alignment and cell-produced bone matrix orientation governed by the molecular interactions between material surface and cells. Titanium and its alloys are one of the most attractive materials for biomedical applications. We previously succeeded in controlling cellular arrangement using the dislocations of a crystallographic slip system in titanium single crystals with hexagonal close-packing (hcp) crystal lattice. Here, we induced a specific surface topography by deformation twinning and dislocation motion to control cell orientation. Dislocation and deformation twinning were introduced into α-titanium polycrystals in compression, inducing a characteristic surface structure involving nanometer-scale highly concentrated twinning traces. The plastic deformation-induced surface topography strongly influenced osteoblast orientation, causing them to align preferentially along the slip and twinning traces. This surface morphology, exhibiting a characteristic grating structure, controlled the localization of focal adhesions and subsequent elongation of stress fibers in osteoblasts. These results indicate that cellular responses against dislocation and deformation twinning are useful for controlling osteoblast alignment and the resulting bone matrix anisotropy. Full article
(This article belongs to the Special Issue Crystal Dislocations)
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<p>(<b>a</b>) Optical microscope and (<b>b</b>) laser microscope image of the surface of the obtained specimens. Scale bar: 100 μm.</p>
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<p>Giemsa staining of the osteoblasts on (<b>a</b>) a smooth surface and (<b>b</b>,<b>c</b>) deformed surfaces. Arrows indicate the direction of twinning and/or slip traces. Scale bar: 100 μm.</p>
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<p>Immunocytochemical analysis of the osteoblasts cultured on surface topography introduced by plastic deformation. Optical microscopic images of (<b>a,c</b>) surface relief and (<b>b</b>,<b>d</b>) cellular cytoskeleton proteins. Arrows indicate the direction of slip and/or twinning traces. Arrowheads indicate the mature focal adhesions accumulated between slip and/or twinning traces. Green, F-actin; red, vinculin; blue, nuclei. Scale bar: 100 μm.</p>
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<p>Schematic illustration of cell alignment along slip and/or twinning traces. The mature focal adhesions elongated along the highly concentrated twinning traces, resulting in cellular alignment in the same direction.</p>
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512 KiB  
Article
Low-Temperature Coherent Thermal Conduction in Thin Phononic Crystal Membranes
by Tuomas A. Puurtinen and Ilari J. Maasilta
Crystals 2016, 6(6), 72; https://doi.org/10.3390/cryst6060072 - 22 Jun 2016
Cited by 25 | Viewed by 4832
Abstract
In recent years, the idea of controlling phonon thermal transport coherently using phononic crystals has been introduced. Here, we extend our previous numerical studies of ballistic low-temperature heat transport in two-dimensional hole-array phononic crystals, and concentrate on the effect of the lattice periodicity. [...] Read more.
In recent years, the idea of controlling phonon thermal transport coherently using phononic crystals has been introduced. Here, we extend our previous numerical studies of ballistic low-temperature heat transport in two-dimensional hole-array phononic crystals, and concentrate on the effect of the lattice periodicity. We find that thermal conductance can be either enhanced or reduced by large factors, depending on the the lattice period. Analysis shows that both the density of states and the average group velocity are strongly affected by the periodic structuring. The largest effect for the reduction seen for larger period structures comes from the strong reduction of the group velocities, but a contribution also comes from the reduction of the density of states. For the short period structures, the enhancement is due to the enhanced density of states. Full article
(This article belongs to the Special Issue Phononic Crystals)
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<p>A schematic of a 2D hole array phononic crystal with dimensions <math display="inline"> <semantics> <mrow> <mi>d</mi> <mo>=</mo> <mn>300</mn> </mrow> </semantics> </math> nm, a = 1 μm.</p>
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<p>Radiated phonon thermal power for a selection of different phononic crystals (PnC) membranes with a square lattice hole pattern of period <math display="inline"> <semantics> <mrow> <mi>a</mi> <mo>=</mo> </mrow> </semantics> </math> 62.5 nm – 8 μm, and a full membrane with the same thickness <math display="inline"> <semantics> <mrow> <mi>d</mi> <mo>=</mo> <mn>300</mn> </mrow> </semantics> </math> nm.</p>
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<p>Radiated power enhancement factor for square PnC membranes with various lattice constants <span class="html-italic">a</span>. The largest ratio of enhancement <span class="html-italic">vs</span>. reduction <math display="inline"> <semantics> <mrow> <msub> <mi>p</mi> <mtext>max</mtext> </msub> <mo>/</mo> <msub> <mi>p</mi> <mtext>min</mtext> </msub> <mo>≈</mo> <mn>92</mn> </mrow> </semantics> </math> occurs at <math display="inline"> <semantics> <mrow> <mi>T</mi> <mo>=</mo> <mn>300</mn> </mrow> </semantics> </math> mK.</p>
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<p>Radiated power for selected temperature points as a function of PnC lattice constant.</p>
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<p>Phonon density of states of a full membrane and four PnC membranes with the same thickness and different lattice constants. The PnC curves are smoothed for visual clarity.</p>
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<p>Average group velocity of a full membrane and four PnC membranes with the same thickness and different lattice constants. The PnC curves are smoothed for visual clarity.</p>
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12231 KiB  
Article
Hydrogen Desorption Properties of Bulk and Nanoconfined LiBH4-NaAlH4
by Payam Javadian, Drew A. Sheppard, Craig E. Buckley and Torben R. Jensen
Crystals 2016, 6(6), 70; https://doi.org/10.3390/cryst6060070 - 20 Jun 2016
Cited by 20 | Viewed by 5739
Abstract
Nanoconfinement of 2LiBH4-NaAlH4 into a mesoporous carbon aerogel scaffold with a pore size, BET surface area and total pore volume of Dmax = 30 nm, SBET = 689 m2/g and Vtot = 1.21 mL/g, respectively [...] Read more.
Nanoconfinement of 2LiBH4-NaAlH4 into a mesoporous carbon aerogel scaffold with a pore size, BET surface area and total pore volume of Dmax = 30 nm, SBET = 689 m2/g and Vtot = 1.21 mL/g, respectively is investigated. Nanoconfinement of 2LiBH4-NaAlH4 facilitates a reduction in the temperature of the hydrogen release by 132 °C, compared to that of bulk 2LiBH4-NaAlH4 and the onset of hydrogen release is below 100 °C. The reversible hydrogen storage capacity is also significantly improved for the nanoconfined sample, maintaining 83% of the initial hydrogen content after three cycles compared to 47% for that of the bulk sample. During nanoconfinement, LiBH4 and NaAlH4 reacts to form LiAlH4 and NaBH4 and the final dehydrogenation products, obtained at 481 °C are LiH, LiAl, AlB2 and Al. After rehydrogenation of the nanoconfined sample at T = 400 °C and p(H2) = 126 bar, amorphous NaBH4 is recovered along with unreacted LiH, AlB2 and Al and suggests that NaBH4 is the main compound that can reversibly release and uptake hydrogen. Full article
(This article belongs to the Special Issue Boron-Based (Nano-)Materials: Fundamentals and Applications)
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<p><span class="html-italic">In situ</span> SR-PXD during dehydrogenation of (<b>A</b>) bulk 2LiBH<sub>4</sub>-NaAlH<sub>4</sub> heated from room temperature (RT) to 487 °C, with subsequent natural cooling to RT in <span class="html-italic">p</span>(H<sub>2</sub>) = 1 bar and (<b>B</b>) nanoconfined 2LiBH<sub>4</sub>-NaAlH<sub>4</sub> in carbon aerogel (CA) heated from RT to 495 °C (Δ<span class="html-italic">T</span>/Δ<span class="html-italic">t</span> = 5 °C/min, <span class="html-italic">λ</span> = 0.991779 Å).</p>
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<p>(<b>A</b>) Thermal programmed desorption mass spectroscopy (TPD-MS) profiles of the hydrogen release (H<sub>2</sub><sup>+</sup> ions, <span class="html-italic">m</span>/<span class="html-italic">e</span> = 2); (<b>B</b>) thermogravimetric analysis (TGA); and (<b>C</b>) differential scanning calorimetry (DSC) measurements of bulk 2LiBH<sub>4</sub>-NaAlH<sub>4</sub> (LiNa) (red), LiNa mixed with carbon aerogel scaffold (CA) (green) and LiNa melt infiltrated into CA (blue). The data is measured in the temperature range 40 to 550 °C and TPD-MS for each data set is normalized by its maximum hydrogen release rate to allow for qualitative comparison (Δ<span class="html-italic">T</span>/Δ<span class="html-italic">t</span> = 10 °C/min).</p>
Full article ">Figure 2 Cont.
<p>(<b>A</b>) Thermal programmed desorption mass spectroscopy (TPD-MS) profiles of the hydrogen release (H<sub>2</sub><sup>+</sup> ions, <span class="html-italic">m</span>/<span class="html-italic">e</span> = 2); (<b>B</b>) thermogravimetric analysis (TGA); and (<b>C</b>) differential scanning calorimetry (DSC) measurements of bulk 2LiBH<sub>4</sub>-NaAlH<sub>4</sub> (LiNa) (red), LiNa mixed with carbon aerogel scaffold (CA) (green) and LiNa melt infiltrated into CA (blue). The data is measured in the temperature range 40 to 550 °C and TPD-MS for each data set is normalized by its maximum hydrogen release rate to allow for qualitative comparison (Δ<span class="html-italic">T</span>/Δ<span class="html-italic">t</span> = 10 °C/min).</p>
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<p>Sieverts’ measurement showing four and three hydrogen release cycles for (<b>A</b>) bulk 2LiBH<sub>4</sub>-NaAlH<sub>4</sub> and (<b>B</b>) infiltrated into CA, LiNa-CA. Hydrogen desorption was performed at a fixed temperature of 500 °C (Δ<span class="html-italic">T</span>/Δ<span class="html-italic">t</span> = 5 °C) for 10 h under an initial hydrogen pressure of 1 bar. Hydrogen absorption was performed at 400 °C, <span class="html-italic">p</span>(H<sub>2</sub>) = 126 bar for 10 h.</p>
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<p>Differentiated Sieverts’ data for four and three desorption cycles of (<b>A</b>) bulk 2LiBH<sub>4</sub>-NaAlH<sub>4</sub> and (<b>B</b>) nanoconfined 2LiBH<sub>4</sub>-NaAlH<sub>4</sub> in CA.</p>
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<p>FTIR spectra of bulk LiBH<sub>4</sub>, 2LiBH<sub>4</sub>-NaAlH<sub>4</sub> (LiNa), and nanoconfined 2LiBH<sub>4</sub>-NaAlH<sub>4</sub> CA-LiNa after dehydrogenation at 500 °C for the third time and finally CA-LiNa rehydrogenated at <span class="html-italic">p</span>(H<sub>2</sub>) = 140 bar, <span class="html-italic">T</span> = 400 °C for 10 h after three desorption cycles. The intensity of the spectra with the carbon containing samples was scaled corresponding to their quantity of LiNa to allow for better comparison.</p>
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1348 KiB  
Article
Synthesis and Crystal Structures of Two Novel O, N-Containing Spiro Compounds
by Wulan Zeng and Jinhe Jiang
Crystals 2016, 6(6), 69; https://doi.org/10.3390/cryst6060069 - 15 Jun 2016
Cited by 11 | Viewed by 4730
Abstract
Two novel O, N-containing spiro compounds, C16H16ClNO4 (1) and C16H16N2O6 (2), were prepared by reactions of monosubstituted benzenamine (substituent = –NO2, –Cl) and [...] Read more.
Two novel O, N-containing spiro compounds, C16H16ClNO4 (1) and C16H16N2O6 (2), were prepared by reactions of monosubstituted benzenamine (substituent = –NO2, –Cl) and 1,5-dioxaspiro[5.5]undecane-2,4-dione in ethanol solution of trimethoxymethane. Their structures were characterized by elemental analysis, IR, UV-Vis and single-crystal X-ray diffraction. Compound 1 is triclinic with space group P-1 and cell constants: a = 5.9448(12), b = 9.782(2), c = 13.480(3) Å, α = 100.28(3)°, β = 100.66(3)°, γ = 97.83(3)°, Mr = 321.75, V = 746.3(3) Å3, Z = 2, Dc = 1.432 g/cm3, F(000) = 336, μ(MoKa) = 0.274 mm−1, the final R = 0.0544 and wR = 0.1538. Compound 2 is monoclinic with space group P21/c and cell constants: a = 12.472(3), b = 11.856(2), c = 10.643(2) Å, β = 99.83(3)°, Mr = 332.31, V = 1550.7(5) Å3, Z = 4, Dc = 1.423 g/cm3, F(000) = 696, μ(MoKa) = 0.110 mm−1, the final R = 0.0444 and wR = 0.1187. In 1, there exist some intra- and inter-molecular hydrogen bonds and C–H···π supramolecular interactions, while there are still π···π stacking interactions except for some intra- and intermolecular hydrogen bonds in 2. Two compounds both form a three-dimensional network structure via above intermolecular interactions. Full article
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<p>The molecular structures of <b>1</b> and <b>2</b> with atomic numbering scheme.</p>
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<p>The packing arrangement in a unit cell of <b>1</b> and <b>2</b>.</p>
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<p>UV-Vis spectra of <b>1</b> and <b>2</b>.</p>
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<p>Synthesis of two spiro compounds.</p>
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2677 KiB  
Article
Crystal Growth and Associated Properties of a Nonlinear Optical Crystal—Ba2Zn(BO3)2
by Weiguo Zhang, Hongwei Yu, Hongping Wu and P. Shiv Halasyamani
Crystals 2016, 6(6), 68; https://doi.org/10.3390/cryst6060068 - 15 Jun 2016
Cited by 19 | Viewed by 5403
Abstract
Crystals of Ba2Zn(BO3)2 were grown by the top-seeded solution growth (TSSG) method. The optimum flux system for growing Ba2Zn(BO3)2 crystals was 2BaF2:2.5B2O3. The transmission spectra of a [...] Read more.
Crystals of Ba2Zn(BO3)2 were grown by the top-seeded solution growth (TSSG) method. The optimum flux system for growing Ba2Zn(BO3)2 crystals was 2BaF2:2.5B2O3. The transmission spectra of a (100)-orientated crystal indicated an absorption edge of 230 nm. Powder second-harmonic generation measurement revealed that Ba2Zn(BO3)2 can achieve type-I phase matching behavior at the fundamental wavelengths of 1064 and 532 nm respectively. The second-harmonic generating efficiency is around 0.85 and 0.58 times that of β-BaB2O4 when radiated with 1064 and 532 nm lasers. Full article
(This article belongs to the Special Issue Nonlinear Optical Crystals)
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<p>Calculated and experimental XRD of Ba<sub>2</sub>Zn(BO<sub>3</sub>)<sub>2</sub>. The black arrows refer to ZnO (PDF# 79-0206).</p>
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<p>Photo of as-grown Ba<sub>2</sub>Zn(BO<sub>3</sub>)<sub>2</sub> crystals. The minimum scale on the ruler is 1 mm.</p>
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<p>Calculated and experimental XRD patterns of Ba<sub>2</sub>Zn(BO<sub>3</sub>)<sub>2</sub> crystals.</p>
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<p>UV-vis-NIR transmission spectra of Ba<sub>2</sub>Zn(BO<sub>3</sub>)<sub>2</sub> (100) plate. Insert is enlarged UV range.</p>
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<p>Powder SHG measurement of polycrystalline Ba<sub>2</sub>Zn(BO<sub>3</sub>)<sub>2</sub> at the fundamental wavelengths of (<b>a</b>) 1064 nm (<b>b</b>) 532 nm. Note the curves are drawn to guide the eye and are not a fit to the data.</p>
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5462 KiB  
Article
Add-Drop Filter Based on Wavelength-Dependent Light Interlink between Lithium-Niobate Microwaveguide Chip and Microfiber Knot Ring
by Suxu Zhou, Yuan Wang, Donghui He, Yang Hu, Jianhui Yu, Zhe Chen, Heyuan Guan, Jun Zhang, Yunhan Luo, Jieyuan Tang and Huihui Lu
Crystals 2016, 6(6), 67; https://doi.org/10.3390/cryst6060067 - 9 Jun 2016
Cited by 8 | Viewed by 4793
Abstract
In this paper, we experimentally demonstrate an add-drop filter based on wavelength-dependent light coupling between a lithium-niobate (LN) microwaveguide chip and a microfiber knot ring (MKR). The MKR was fabricated from a standard single-mode fiber, and the LN microwaveguide chip works as a [...] Read more.
In this paper, we experimentally demonstrate an add-drop filter based on wavelength-dependent light coupling between a lithium-niobate (LN) microwaveguide chip and a microfiber knot ring (MKR). The MKR was fabricated from a standard single-mode fiber, and the LN microwaveguide chip works as a robust substrate to support the MKR. The guided light can be transmitted through add and drop functionality and the behaviors of the add-drop filter can be clearly observed. Furthermore, its performance dependence on the MKR diameter is also studied experimentally. The approach, using a LN microwaveguide chip as a platform to couple and integrate the MKR, may enable us to realize an optical interlink between the microstructured chip and the micro/nano fiber-optic device. Full article
(This article belongs to the Special Issue Lithium Niobate Crystals)
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<p>Schematic diagram of the add-drop filter and its experimental setup. (<b>a</b>) Schematic diagram of the add-drop filter based on light coupling between a MKR with a lithium-niobate microwaveguide chip; (<b>b</b>) Schematic diagram of the experimental setup of the drop filter; (<b>c</b>) Photograph of the lithium-niobate microwaveguide chip and its enlarged view; (<b>d</b>) Photograph of MKR optically coupled with the lithium niobate microwaveguide with a diameter of ~1274.7 μm.</p>
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<p>Experimental transmission spectra of the drop filter with different ring diameters of 1339.0 μm (<b>a</b>); 1274.7 μm (<b>b</b>); 1209.3 μm (<b>c</b>) and 1147.7 μm (<b>d</b>), respectively.</p>
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<p>Experimental transmission spectra of the add filter with different ring diameters of 1339.0 μm (<b>a</b>); 1274.7 μm (<b>b</b>); 1209.3 μm (<b>c</b>); and 1147.7 μm (<b>d</b>), respectively.</p>
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<p>Polarization-dependent loss measured from through port, drop port (drop filter) and input port (add filter).</p>
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<p>(<b>a</b>) Schematic diagram of sectional view of lithium-niobate chip; (<b>b</b>) Optical mode profile of LN waveguide.</p>
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3957 KiB  
Article
Synthesis and Molecular Structures of the Lowest Melting Odd- and Even-Numbered α,β-Unsaturated Carboxylic Acids—(E)-Hept-2-Enoic Acid and (E)-Oct-2-Enoic Acid
by Marcel Sonneck, Anke Spannenberg, Sebastian Wohlrab and Tim Peppel
Crystals 2016, 6(6), 66; https://doi.org/10.3390/cryst6060066 - 3 Jun 2016
Cited by 1 | Viewed by 5200
Abstract
The molecular structures of the two lowest melting odd- and even-numbered α,β-unsaturated carboxylic acids—(E)-hept-2-enoic acid (C7) and (E)-oct-2-enoic acid (C8)—are herein reported. The title compounds were crystallized by slow evaporation of ethanolic solutions at [...] Read more.
The molecular structures of the two lowest melting odd- and even-numbered α,β-unsaturated carboxylic acids—(E)-hept-2-enoic acid (C7) and (E)-oct-2-enoic acid (C8)—are herein reported. The title compounds were crystallized by slow evaporation of ethanolic solutions at −30 °C. C7 crystallizes in the triclinic space group P 1 ¯ with two molecules in the unit cell and C8 in the monoclinic space group C2/c with eight molecules in the unit cell. The unit cell parameters for C7 are: a = 5.3049(2) Å, b = 6.6322(3) Å, c = 11.1428(5) Å, α = 103.972(3)°, β = 97.542(3)°, γ = 90.104(3)°, and V = 376.92(3) Å3 (T = 150(2) K). The unit cell parameters for C8 are: a = 19.032(10) Å, b = 9.368(5) Å, c = 11.520(6) Å, β = 123.033(11)°, and V = 1721.80(16) Å3 (T = 200(2) K). Full article
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<p>Melting point alternation of trans-<span class="html-italic">α,β</span>-unsaturated carboxylic acids in the series <b>C3</b> to <b>C16</b>.</p>
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<p>View of acid dimer molecules in the crystal of <b>C7</b> showing the atom-labeling scheme. Displacement ellipsoids are drawn at the 50% probability level.</p>
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<p>View of acid dimer molecules in the crystal of <b>C8</b> showing the atom-labeling scheme. Displacement ellipsoids are drawn at the 50% probability level.</p>
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<p>View of the packing of acid dimer layers in the crystal of <b>C7</b> along the crystallographic <span class="html-italic">a</span> axis.</p>
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<p>View of the packing of acid dimer molecules in the crystal of <b>C8</b> along the crystallographic <span class="html-italic">b</span> axis.</p>
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<p>Reaction sequence for the synthesis of the two title compounds—<b>C7</b> and <b>C8</b>.</p>
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2269 KiB  
Article
Synthesis and 3D Network Architecture of 1- and 16-Hydrated Salts of 4-Dimethylaminopyridinium Decavanadate, (DMAPH)6[V10O28nH2O
by Eduardo Sánchez-Lara, Aarón Pérez-Benítez, Samuel Treviño, Angel Mendoza, Francisco J. Meléndez, Enrique Sánchez-Mora, Sylvain Bernès and Enrique González-Vergara
Crystals 2016, 6(6), 65; https://doi.org/10.3390/cryst6060065 - 31 May 2016
Cited by 17 | Viewed by 7106
Abstract
Two hybrid materials based on decavanadates (DMAPH)6[V10O28]·H2O, (1) and (DMAPH)6[V10O28]·16H2O, (2) (where DMAPH = 4-dimethylaminopyridinium) were obtained by reactions under mild conditions at [...] Read more.
Two hybrid materials based on decavanadates (DMAPH)6[V10O28]·H2O, (1) and (DMAPH)6[V10O28]·16H2O, (2) (where DMAPH = 4-dimethylaminopyridinium) were obtained by reactions under mild conditions at T = 294 and 283 K, respectively. These compounds are pseudopolymorphs, which crystallize in monoclinic P 2 1 / n and triclinic P 1 ¯ space groups. The structural analysis revealed that in both compounds, six cations DMAPH+ interact with decavanadate anion through N-H∙∙∙Odec hydrogen bonds; in 2, the hydrogen-bonding association of sixteen lattice water molecules leads to the formation of an unusual network stabilized by decavanadate clusters; this hydrogen-bond connectivity is described using graph set notation. Compound 2 differs basically in the water content which in turn increases the π∙∙∙π interactions coming from pyridinium rings. Elemental and thermal analysis (TGA/DSC) as well as FT-IR, FT-Raman, for 1 and 2 are consistent with both structures and are also presented. Full article
(This article belongs to the Section Biomolecular Crystals)
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<p>Structure of compound <b>1</b>, (DMAPH)<sub>6</sub>[V<sub>10</sub>O<sub>28</sub>]·H<sub>2</sub>O, with displacement ellipsoids shown at the 50% probability level. Hydrogen bonds linking cations and anions are represented by dashed lines. The site occupation factor for the water molecule O30 is 1/2. The inset displays the arrangement of clusters in the crystal [<a href="#B27-crystals-06-00065" class="html-bibr">27</a>].</p>
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<p>The unit cell contents of compound <b>2</b>, (DMAPH)<sub>6</sub>[V<sub>10</sub>O<sub>28</sub>]·16H<sub>2</sub>O. Displacement ellipsoids were drawn at the 50% probability level. Main atoms were labeled in the asymmetric unit, and the complete cell is generated by symmetry code 2 − <span class="html-italic">x</span>, 2 − <span class="html-italic">y</span>, 2 − <span class="html-italic">z</span>. The dashed lines represent H bonds between cations and anions. The inset represents a part of the crystal structure, omitting all lattice water molecules [<a href="#B27-crystals-06-00065" class="html-bibr">27</a>]. The orientation for this projection evidences the stacking of cations in the crystal.</p>
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<p>A part of the crystal structure of <b>2</b>, omitting cations. The supramolecular network formed by water molecules were based on hydrogen bonds (dashed lines, [<a href="#B27-crystals-06-00065" class="html-bibr">27</a>]). Blue H-bonds were used to form the <math display="inline"> <semantics> <mrow> <mi>C</mi> <mrow> <mo>[</mo> <mrow> <mi>R</mi> <mrow> <mo>(</mo> <mrow> <mn>10</mn> </mrow> <mo>)</mo> </mrow> <mi>R</mi> <mrow> <mo>(</mo> <mrow> <mn>12</mn> </mrow> <mo>)</mo> </mrow> </mrow> <mo>]</mo> </mrow> </mrow> </semantics> </math> backbone, in which <math display="inline"> <semantics> <mrow> <msubsup> <mi>R</mi> <mn>5</mn> <mn>5</mn> </msubsup> <mrow> <mo>(</mo> <mrow> <mn>10</mn> </mrow> <mo>)</mo> </mrow> </mrow> </semantics> </math> and <math display="inline"> <semantics> <mrow> <msubsup> <mi>R</mi> <mn>6</mn> <mn>4</mn> </msubsup> <mrow> <mo>(</mo> <mrow> <mn>12</mn> </mrow> <mo>)</mo> </mrow> </mrow> </semantics> </math> rings alternate. The different types of H-bonds were labeled<math display="inline"> <semantics> <mrow> <mo> </mo> <mi>a</mi> <mo>−</mo> <mi>i</mi> </mrow> </semantics> </math> and ring sequences are oriented counter-clockwise. Blue H-bonds connect this backbone to [V<sub>10</sub>O<sub>28</sub>]<sup>6−</sup> anions in the crystal.</p>
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<p>FT-IR (<b>a</b>) and Raman spectra (<b>b</b>) of 4-dimethylaminopyridine and their corresponding hydrated decavanadate salts <b>1</b> and <b>2</b>, (<b>a</b>) recorded in KBr pellets.</p>
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<p>Images of crystal morphologies observed by optical stereoscopic microscope. (<b>a</b>) (DMAPH)<sub>6</sub>[V<sub>10</sub>O<sub>28</sub>]·H<sub>2</sub>O; (<b>b</b>) (DMAPH)<sub>6</sub>[V<sub>10</sub>O<sub>28</sub>]·16H<sub>2</sub>O.</p>
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4944 KiB  
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Phononic Crystal Plate with Hollow Pillars Actively Controlled by Fluid Filling
by Yabin Jin, Yan Pennec, Yongdong Pan and Bahram Djafari-Rouhani
Crystals 2016, 6(6), 64; https://doi.org/10.3390/cryst6060064 - 24 May 2016
Cited by 60 | Viewed by 7238
Abstract
We investigate theoretically the properties of phononic crystal plates with hollow pillars. Such crystals can exhibit confined whispering gallery modes around the hollow parts of the pillars whose localization can be increased by separating the pillar from the plate by a full cylinder. [...] Read more.
We investigate theoretically the properties of phononic crystal plates with hollow pillars. Such crystals can exhibit confined whispering gallery modes around the hollow parts of the pillars whose localization can be increased by separating the pillar from the plate by a full cylinder. We discuss the behaviors of these modes and their potential applications in guiding and filtering. Filling the hollow parts with a fluid gives rise to new localized modes, which depend on the physical properties and height of the fluid. Thus, these modes can be actively controlled for the purpose of multichannel multiplexing. In particular, one can obtain localized modes associated with the compressional vibrations of the fluid along its height. They can be used for the purpose of sensing the acoustic properties of the fluid or their variations with temperature. Full article
(This article belongs to the Special Issue Phononic Crystals)
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Graphical abstract

Graphical abstract
Full article ">Figure 1
<p>(<b>a</b>) schematic view of the PnC unit cell in the square array consisting of hollow pillars deposited on a thin homogeneous plate with an additional cylinder of height <span class="html-italic">l</span> at the basis to improve the confinement of the modes in the hollow pillars. <span class="html-italic">a</span> is the lattice constant, <span class="html-italic">e</span> is the thickness of plate, <span class="html-italic">h</span> is the height of hollow pillar, <span class="html-italic">r<sub>i</sub></span> and <span class="html-italic">r</span> are the inner and outer radius of the hollow pillar, respectively; (<b>b</b>) the irreducible first Brillouin zone of the square lattice.</p>
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<p>(<b>Left panel</b>): Dispersion curves of the confined hollow pillars on a thin silicon plate in the ΓX and ΓM directions of the first irreducible Brillouin zone in the reduced frequency range [0; 0.75]. On each side of the dispersion curves, we give the corresponding transmission spectra in blue and red respectively for which the incident wave is either anti-symmetric A<sub>0</sub> or symmetric S<sub>0</sub>. The Bragg and low frequency band gaps are marked as red and blue rectangular hatched regions, respectively. The geometric parameters are chosen as <span class="html-italic">r<sub>i</sub>/a</span> = 0.145, <span class="html-italic">r/a</span> = 0.4, <span class="html-italic">h/a</span> = 0.45, <span class="html-italic">e/a</span> = 0.1, <span class="html-italic">l/a</span> = 0.2; (<b>Right panel</b>): Uz component of the displacement fields with the anti-symmetric A<sub>0</sub> Lamb wave excitation at transmission peak <span class="html-italic">A</span> along the ΓX direction and peak <span class="html-italic">B</span> along the ΓM direction; Uz component of the displacement fields of WGM1 and WGM2 at Γ point.</p>
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<p>(<b>Left panel</b>): the frequency evolution of the WGM 1 and 2 as a function of the inner radius of the hollow pillar. The upper frequency range limited by two horizontal cyan lines is the Bragg band gap of background full PnCs (<span class="html-italic">h/a</span> = 0.45, <span class="html-italic">r/a</span> = 0.4, <span class="html-italic">l/a</span> = 0) and the lower one is the low frequency band gap. (<b>Right panel</b>): The quality factor of the WGM 1 grows when increasing the confinement height <span class="html-italic">l/a</span>, <span class="html-italic">r<sub>i</sub>/a</span> = 0.145.</p>
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<p>The multichannel wavelength multiplexer: (<b>Left panel</b>): Transmission spectrum of the antisymmetric Lamb wave when the inner radius inside waveguides <span class="html-italic">i</span> and <span class="html-italic">j</span> are <span class="html-italic">r<sub>i</sub>/a</span> = 0.12 and <span class="html-italic">r<sub>j</sub>/a</span> = 0.11; (<b>Right panel</b>): Displacement field distributions at the frequency of the two narrow pass bands <span class="html-italic">i</span> and <span class="html-italic">j</span>. The geometric parameters of the multiplexer are <span class="html-italic">h/a</span> = 0.45, <span class="html-italic">r/a</span> = 0.4, <span class="html-italic">l/a</span> = 0.2.</p>
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<p>Dispersion curves of the hollow pillars on a thin silicon plate in the ΓX direction with different inner radii (<b>left</b>) <span class="html-italic">r<sub>i</sub>/a</span> = 0.11, (<b>middle</b>) <span class="html-italic">r<sub>i</sub>/a</span> = 0.14, (<b>right</b>) <span class="html-italic">r<sub>i</sub>/a</span> = 0.17. The other geometric parameters are <span class="html-italic">h/a</span> = 0.45, <span class="html-italic">r/a</span> = 0.4, <span class="html-italic">l/a</span> = 0.2.</p>
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<p>(<b>Upper-left panel</b>): evolution of WGM1 (<b>black dotted line</b>), WGM2 (<b>red dotted line</b>), M<sub>c1</sub> (<b>cyan dotted line</b>), M<sub>c2</sub> (<b>blue dotted line</b>), M<sub>liq</sub> (<b>green dotted line</b>) as a function of inner radius when the hollow pillars are fully filled with water (<span class="html-italic">h<sub>w</sub>/h</span> = 1). The two horizontal pink dotted lines are the limits of Bragg band gap of the full PnC; (<b>Upper-right panel</b>): evolution of WGM1 (<b>black dotted line</b>), WGM2 (<b>red dotted line</b>), M<sub>c1</sub> (<b>cyan dotted line</b>), M<sub>c2</sub> (<b>blue dotted line</b>), M<sub>liq</sub> (<b>green dotted line</b>) as a function of the height of filling water <span class="html-italic">h<sub>w</sub>/h</span> when the inner radius is <span class="html-italic">r<sub>i</sub>/a</span> = 0.19. (<b>Lower panel</b>): representation of the acoustic (pressure) and elastic (displacement) field of the mode M<sub>liq</sub> respectively in the fluid and solid part for <span class="html-italic">h<sub>w</sub>/h</span> = 1 (left) and <span class="html-italic">h<sub>w</sub>/h</span> = 0.5 (right) when <span class="html-italic">r<sub>i</sub>/a</span> = 0.19. The other geometric parameters are <span class="html-italic">h/a</span> = 0.45, <span class="html-italic">r/a</span> = 0.4, <span class="html-italic">l/a</span> = 0.2.</p>
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<p>(<b>Left panel</b>): 3D-schematic view of the pressure fields in water of the M<sub>c1</sub> (<b>left-lower</b>) and M<sub>c2</sub> (<b>left-upper</b>) compressional modes; (<b>Right panel</b>): Dispersion curves of the PnC with geometric parameters <span class="html-italic">h/a</span> = 0.4, <span class="html-italic">r/a</span> = 0.39, <span class="html-italic">r<sub>i</sub>/a</span> = 0.1, <span class="html-italic">h<sub>w</sub>/h</span> = 1, <span class="html-italic">l/a</span> = 0.1 along the ΓX direction.</p>
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<p>(<b>Left panel</b>): Evolution of the second liquid compressional mode induced transmission peak (lines, corresponding to the left <span class="html-italic">y</span>-axis) and quality factor (dots, corresponding to the right <span class="html-italic">y</span>-axis) as a function of the acoustic velocity of filled liquid. The geometric parameters are <span class="html-italic">h/a</span> = 0.4, <span class="html-italic">r/a</span> = 0.39, <span class="html-italic">r<sub>i</sub>/a</span> = 0.1, <span class="html-italic">h<sub>liq</sub>/h</span> = 1, <span class="html-italic">l/a</span> = 0.1. (<b>Right panel</b>): The frequency of transmission peak corresponds to the acoustic velocity of different fluids.</p>
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<p>Varied frequencies (<b>blue triangular dots</b>) and corresponding quality factors (<b>red circle dots</b>) of the second liquid compressional mode by tuning the temperature of water in the holes. The geometric parameters are <span class="html-italic">h/a</span> = 0.4, <span class="html-italic">r/a</span> = 0.39, <span class="html-italic">r<sub>i</sub>/a</span> = 0.1, <span class="html-italic">h<sub>w</sub>/h</span> = 1, <span class="html-italic">l/a</span> = 0.1.</p>
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<p>Varied range of WGM 1 frequency when the holes are respectively empty or fully filled with the liquid: water (<b>blue dotted lines</b>) and mercury (<b>red dotted lines</b>), corresponding to different inner radii. The other geometric parameters are <span class="html-italic">h/a</span> = 0.45, <span class="html-italic">r/a</span> = 0.4, <span class="html-italic">l/a</span> = 0.2. The upper frequency range limited by two horizontal cyan lines is the Bragg band gap of background full PnCs (<span class="html-italic">h/a</span> = 0.45, <span class="html-italic">r/a</span> = 0.4, <span class="html-italic">l/a</span> = 0) and the lower one is the low frequency band gap.</p>
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<p>The evolutions of the WGM 1 frequency (<b>blue triangle dots</b>) and its corresponding quality factor (<b>red circle dots</b>) as a function of the filled mercury height. The geometric parameters are <span class="html-italic">h/a</span> = 0.45, <span class="html-italic">r/a</span> = 0.4, <span class="html-italic">l/a</span> = 0.2, <span class="html-italic">r<sub>i</sub>/a</span> = 0.11.</p>
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<p>The multichannel wavelength multiplexer. (<b>Left panel</b>): Transmission spectrum of the antisymmetric Lamb wave when the filled mercury heights inside waveguide <span class="html-italic">c</span> and <span class="html-italic">d</span> are <span class="html-italic">h<sub>m</sub><sup>c</sup>/h</span> = 0.4 and <span class="html-italic">h<sub>m</sub><sup>d</sup>/h</span> = 0.9; (<b>Right panel</b>): Displacement field distributions at the frequency of the two narrow pass bands <span class="html-italic">c</span> and <span class="html-italic">d</span>. The geometric parameters of the multiplexer are <span class="html-italic">h/a</span> = 0.45, <span class="html-italic">r/a</span> = 0.4, <span class="html-italic">l/a</span> = 0.2, <span class="html-italic">r<sub>i</sub>/a</span> = 0.11.</p>
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