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alternate case: hexagonal lattice
Centered triangular number
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equilateral triangular layers. This is also the number of points of a hexagonal lattice with nearest-neighbor coupling whose distance from a given point isLonsdaleite (2,043 words) [view diff] exact match in snippet view article find links to article
reference to the crystal structure, is an allotrope of carbon with a hexagonal lattice, as opposed to the cubical lattice of conventional diamond. It isHexagonal tortoise problem (168 words) [view diff] exact match in snippet view article find links to article
Seok-jeong (1646–1715). It is a mathematical problem that involves a hexagonal lattice, like the hexagonal pattern on some tortoises' shells, to the (N)Hexagonal phase (283 words) [view diff] exact match in snippet view article find links to article
indefinite length and these cylindrical aggregates are disposed on a hexagonal lattice, giving the phase long-range orientational order. In normal topologyReciprocal lattice (5,496 words) [view diff] exact match in snippet view article find links to article
constants a {\textstyle a} and c {\textstyle c} is another simple hexagonal lattice with lattice constants 2 π / c {\textstyle 2\pi /c} and 4 π / ( aRotational symmetry (1,606 words) [view diff] exact match in snippet view article find links to article
lattice. p6 (632): 1×6-fold, 2×3-fold, 3×2-fold; rotation group of a hexagonal lattice. 2-fold rotocenters (including possible 4-fold and 6-fold), if presentSurface freezing (257 words) [view diff] exact match in snippet view article find links to article
molecules oriented roughly along the surface normal, and ordered in an hexagonal lattice. A related effect, the existence of a smectic phase at the surfaceRandom close pack (1,221 words) [view diff] exact match in snippet view article find links to article
connected discs. The derived maximum volume fraction is 85.3542%, if only hexagonal lattice clusters are disallowed, and 85.2514% if one disallows also deformedAnodic aluminium oxide (1,017 words) [view diff] exact match in snippet view article find links to article
conditions, AAO cells of equal size are formed and neatly packed into a hexagonal lattice. However, an array consisting of electroconvective cells with differentGanja rugs (196 words) [view diff] exact match in snippet view article find links to article
Ganja Rug with hexagonal latticePromethium(III) hydroxide (114 words) [view diff] case mismatch in snippet view article
purplish-pink solid Density 5.1 g/cm3 Structure Crystal structure hexagonal Lattice constant a = 6.39 Å, c = 3.68 Å Related compounds Other anions promethiumDiamond-like carbon (4,124 words) [view diff] exact match in snippet view article find links to article
uses a cubic lattice, while the less common one, lonsdaleite, has a hexagonal lattice. By mixing these polytypes at the nanoscale, DLC coatings can be madeNanoflower (403 words) [view diff] exact match in snippet view article find links to article
Allotropes of carbon – Materials made only out of carbon graphene – Hexagonal lattice made of carbon atoms buckypaper – Thin sheet made of aggregated carbonOverlapping circles grid (2,216 words) [view diff] exact match in snippet view article find links to article
arrangement of circles can cover the plane more efficiently than this hexagonal lattice arrangement. Two offset copies of this circle pattern makes a rhombicWigner–Seitz cell (1,495 words) [view diff] exact match in snippet view article find links to article
The construction process for the Wigner–Seitz cell of a hexagonal lattice.Aggregated diamond nanorod (876 words) [view diff] exact match in snippet view article find links to article
carbonPages displaying short descriptions of redirect targets Lonsdaleite – Hexagonal lattice allotrope of carbon Mohs scale of mineral hardness – Qualitative scaleStanene (374 words) [view diff] exact match in snippet view article find links to article
HRTEM image of sample showing hexagonal lattice. The inset on the bottom left shows the EDAX spectrum from the same spot. Carbon and copper peaks arisesOmmatidium (1,225 words) [view diff] exact match in snippet view article find links to article
core, four non-neuronal cone cells and two primary pigment cells. A hexagonal lattice of pigment cells insulates the ommatidial core from neighboring ommatidiaHexagonal sampling (2,013 words) [view diff] exact match in snippet view article find links to article
hexagonal region of support maps to sampling the continuous signal on a hexagonal lattice. From U, the periodicity matrix, we can calculate the optimal samplingMiller index (2,457 words) [view diff] exact match in snippet view article find links to article
redundant index. This four-index scheme for labeling planes in a hexagonal lattice makes permutation symmetries apparent. For example, the similarityReflectance paper (210 words) [view diff] exact match in snippet view article find links to article
Laboratories and 3M created the first type of this kind of paper using a hexagonal lattice of millimeter-sized dimples. Dimple depth was 50μm, representing 70%Popigai impact structure (906 words) [view diff] exact match in snippet view article find links to article
contain crystalline lonsdaleite, an allotrope of carbon that has a hexagonal lattice. Pure, laboratory-created lonsdaleite is up to 58% harder than ordinaryCopper(I) cyanide (1,171 words) [view diff] exact match in snippet view article
HT-CuCN, which is isostructural with AgCN, the linear chains pack on a hexagonal lattice and adjacent chains are off set by +/- 1/3 c, Figure 1. In the low-temperaturePhosphorus pentoxide (943 words) [view diff] exact match in snippet view article find links to article
P4O10. Weak van der Waals forces hold these molecules together in a hexagonal lattice (However, in spite of the high symmetry of the molecules, the crystalMyomesin (1,197 words) [view diff] exact match in snippet view article find links to article
which are connected to the Z-discs. These myosin filaments form a hexagonal lattice with titin and myomesin. This shape allows the M-band to withstandPrincipal ideal (1,470 words) [view diff] exact match in snippet view article find links to article
a+b} is even form a non-principal ideal. This ideal forms a regular hexagonal lattice in the complex plane. Consider ( a , b ) = ( 2 , 0 ) {\displaystyleAllotropes of carbon (5,756 words) [view diff] exact match in snippet view article find links to article
layer carbon material with biphenylene-like subunits as basis in its hexagonal lattice structure. It is also known as biphenylene-carbon. Carbophene is aG2 (mathematics) (2,056 words) [view diff] exact match in snippet view article
by those is not the one pictured above (from obvious reason: the hexagonal lattice on the plane cannot be generated by integer vectors). The diagramPlatinum diselenide (1,534 words) [view diff] case mismatch in snippet view article find links to article
1.3 eV monolayer Structure Crystal structure space group P3m1 164 hexagonal Lattice constant a = 3.728, c = 5.031 Coordination geometry octahedral RelatedBIO-LGCA (4,574 words) [view diff] exact match in snippet view article find links to article
one-dimensional lattice, b = 6 {\displaystyle b=6} for a two-dimensional hexagonal lattice, and so on). In two dimensions, velocity channels are defined as cWallpaper group (6,485 words) [view diff] exact match in snippet view article find links to article
little to the right compared with the directions in the underlying hexagonal lattice of the image Street pavement in Zakopane, Poland Wall tiling in theTransitional epithelium (2,073 words) [view diff] exact match in snippet view article find links to article
synthesized in the Golgi apparatus. The membrane is made up of a hexagonal lattice put together in the Golgi apparatus and implanted into the surfaceSelf-avoiding walk (1,508 words) [view diff] exact match in snippet view article find links to article
for the walk so does μ. The exact value of μ is only known for the hexagonal lattice, found by Stanislav Smirnov and Hugo Duminil-Copin, where it is equalBacteriorhodopsin (2,123 words) [view diff] exact match in snippet view article find links to article
the surface area of the archaeal cell. The repeating element of the hexagonal lattice is composed of three identical protein chains, each rotated by 120NRX (1,870 words) [view diff] exact match in snippet view article find links to article
held about 175 six-centimetre-diameter (2.4 in) vertical tubes in a hexagonal lattice, 14,000 litres (3,100 imp gal; 3,700 US gal) of heavy water and heliumDiscovery of graphene (2,005 words) [view diff] exact match in snippet view article find links to article
materials. This "epitaxial graphene" consists of a single-atom-thick hexagonal lattice of sp2-bonded carbon atoms, as in free-standing graphene. HoweverOrigamic architecture (1,406 words) [view diff] exact match in snippet view article find links to article
Pennsylvania in 2014, laid out the rules for folding and cutting a hexagonal lattice into a variety of three-dimensional shapes. Recent studies have exploredKepler conjecture (2,710 words) [view diff] exact match in snippet view article find links to article
marbles as follows: For the first layer of marbles, arrange them in a hexagonal lattice (the honeycomb pattern) Put the next layer of marbles in the lowestMagnetocrystalline anisotropy (1,953 words) [view diff] exact match in snippet view article find links to article
on the crystal system (hexagonal, tetragonal or rhombohedral). The hexagonal lattice cell. The tetragonal lattice cell. The rhombohedral lattice cell.Photonic-crystal fiber (1,694 words) [view diff] exact match in snippet view article find links to article
example, the fibers first demonstrated by Philip Russell consisted of a hexagonal lattice of air holes in a silica fiber, with a solid or hollow core at theGraphyne (1,311 words) [view diff] exact match in snippet view article find links to article
of sp and sp2 hybridized carbon. The proposed geometries include a hexagonal lattice structure and a rectangular lattice structure. Out of the theorizedTantalum carbide (1,879 words) [view diff] exact match in snippet view article find links to article
structure, which transforms upon heating to about 2,000 °C into a hexagonal lattice with no long-range order for the carbon atoms. Here Z is the numberSphere packing (3,419 words) [view diff] exact match in snippet view article find links to article
6 ≈ 0.5236 {\displaystyle {\frac {\pi }{6}}\approx 0.5236} , the hexagonal lattice with a density of π 3 3 ≈ 0.6046 {\displaystyle {\frac {\pi }{3{\sqrtTungsten carbide (3,829 words) [view diff] exact match in snippet view article find links to article
structure. The hexagonal form can be visualized as made up of a simple hexagonal lattice of metal atoms of layers lying directly over one another (i.e. notLyotropic liquid crystal (1,946 words) [view diff] exact match in snippet view article find links to article
indefinite length, and these cylinders are arranged on a long-ranged hexagonal lattice. This lyotropic liquid crystalline phase is known as the 'hexagonalCentral place theory (2,834 words) [view diff] exact match in snippet view article find links to article
demand. He deduced that settlements would tend to form in a triangular/hexagonal lattice, as it is the most efficient pattern to serve areas without any overlapHydrogen bond (5,588 words) [view diff] exact match in snippet view article find links to article
strongly affects the crystal structure of ice, helping to create an open hexagonal lattice. The density of ice is less than the density of water at the sameMagnesium selenide (501 words) [view diff] no match in snippet view article find links to article
Crystal structure Rock-salt (cubic) Zincblende (cubic) Wurtzite (hexagonal) Lattice constant a = 0.55 nm (rock-salt) a = 0.59 nm (zincblende) a = 0.415Ytterbium (5,215 words) [view diff] exact match in snippet view article find links to article
metals. Contrary to most other lanthanides, which have a close-packed hexagonal lattice, ytterbium crystallizes in the face-centered cubic system. YtterbiumPulay stress (650 words) [view diff] exact match in snippet view article find links to article
A plane wave basis set is created for the hexagonal lattice (left), using the reciprocal lattice vectors inside the red circle. Then the lattice relaxesVector soliton (3,051 words) [view diff] exact match in snippet view article find links to article
single two-dimensional (2D) atomic layer of carbon atom arranged in a hexagonal lattice. Although as an isolated film it is a zero bandgap semiconductor,Phonon (6,944 words) [view diff] exact match in snippet view article find links to article
Brillouin zones, (a) in a square lattice, and (b) in a hexagonal latticeMashrabiya (4,448 words) [view diff] exact match in snippet view article find links to article
One of the mashrabiya at Hasht Behesht Palace in Isfahan showing a hexagonal lattice pattern Maymoni pattern as used in mashrabiya Cross pattern as usedLattice protein (1,998 words) [view diff] exact match in snippet view article find links to article
1063/1.464068. Jiang M, Zhu B (February 2005). "Protein folding on the hexagonal lattice in the HP model". Journal of Bioinformatics and Computational BiologyLanthanum pentanickel (422 words) [view diff] exact match in snippet view article find links to article
has a calcium pentacopper (CaCu5) type crystal structure, with a hexagonal lattice, space group is P6/mmm (No. 191), with lanthanum atom is located atScanning tunneling microscope (7,166 words) [view diff] exact match in snippet view article find links to article
the surface of a crystal of silicon carbide (SiC) are arranged in a hexagonal lattice and are 0.3 nm apart. STM nanomanipulation of PTCDA molecules on graphiteCarbon (11,070 words) [view diff] exact match in snippet view article find links to article
is a two-dimensional sheet of carbon with the atoms arranged in a hexagonal lattice. As of 2009, graphene appears to be the strongest material ever testedCarbon nanotube field-effect transistor (4,615 words) [view diff] exact match in snippet view article find links to article
m} are integers and â1 and â2 are primitive lattice vectors of the hexagonal lattice. Therefore, the structure of any carbon nanotube can be describedHexagonal Efficient Coordinate System (1,774 words) [view diff] exact match in snippet view article find links to article
Vince and X. Zheng, “Computing the discrete Fourier transform on a hexagonal lattice,” J. Math. Imaging Vision 28, 125–133 (2007) Carle, J.; Myoupo, JClebsch–Gordan coefficients for SU(3) (7,750 words) [view diff] exact match in snippet view article
operators, correspond to the 6 roots arranged on the 2-dimensional hexagonal lattice of the figure. The Casimir operator is an operator that commutes withStefan Gruber (1,454 words) [view diff] exact match in snippet view article find links to article
Hofstadter's challenge to translate traditional square lattice chess into a hexagonal lattice version, which Hoffstadter calls, "chesh." Gruber completed the preliminaryMethanosarcinales S-layer Tile Protein (1,507 words) [view diff] exact match in snippet view article find links to article
acetivorans S-layer was proposed based on packing of the MA0829 CTR in a hexagonal lattice in one of the two obtained crystal forms (Protein Data Bank accessionMoore's law (10,704 words) [view diff] exact match in snippet view article find links to article
Scanning probe microscopy image of graphene in its hexagonal lattice structureFiber volume ratio (1,601 words) [view diff] exact match in snippet view article find links to article
modulus of the fibers Fibers are commonly arranged in a square or hexagonal lattice as well as in a layer-wise fiber array. Assuming that each fiber hasEnergy applications of nanotechnology (4,040 words) [view diff] exact match in snippet view article find links to article
exists as a two-dimensional sheet of carbon atoms organized in a hexagonal lattice. A family of graphene-related materials, called "graphenes" by thePhotonic crystal (6,986 words) [view diff] exact match in snippet view article find links to article
crystal fiber can be made by taking cylindrical rods of glass in hexagonal lattice, and then heating and stretching them, the triangle-like airgaps betweenMagnetic space group (3,038 words) [view diff] exact match in snippet view article find links to article
Orthorhombic lattice system Tetragonal lattice system Hexagonal crystal family Hexagonal lattice system Rhombohedral lattice system Cubic lattice systemLiquid crystal (11,527 words) [view diff] exact match in snippet view article find links to article
with a hydrophilic surface) that arrange themselves into a roughly hexagonal lattice. This is called the middle soap phase. At still higher concentrationMathematics and art (12,026 words) [view diff] exact match in snippet view article find links to article
19th century Detail of a Ming Dynasty brocade, using a chamfered hexagonal lattice pattern Jaali marble lattice at tomb of Salim Chishti, Fatehpur SikriRahul Nandkishore (1,200 words) [view diff] exact match in snippet view article find links to article
for his work identifying a new route to chiral superconductivity in hexagonal lattice systems near Van Hove filling, for his work on disorder effects inSuperhard material (6,856 words) [view diff] exact match in snippet view article find links to article
compoundPages displaying wikidata descriptions as a fallback Lonsdaleite – Hexagonal lattice allotrope of carbon Aluminium magnesium boride Wentorf, R. H.; DevriesCarbon nanotube (18,990 words) [view diff] exact match in snippet view article find links to article
(infinitely long) single-walled carbon nanotube is that of a regular hexagonal lattice drawn on an infinite cylindrical surface, whose vertices are the positionsList of mathematical constants (3,567 words) [view diff] exact match in snippet view article find links to article
{\displaystyle x^{2}=-1} 1501 to 1576 ✗ ✓ ✓ Connective constant for the hexagonal lattice μ {\displaystyle \mu } 1.84775 90650 22573 51225 2 + 2 {\displaystyleTantalum diselenide (3,291 words) [view diff] exact match in snippet view article find links to article
other TMDs, TaSe2 is a layered compound, with a central tantalum hexagonal lattice sandwiched between two layers of selenium atoms, still with a hexagonalHelium compounds (11,142 words) [view diff] exact match in snippet view article find links to article
predicted to form an inclusion compound with silicon, Si2He. This has a hexagonal lattice of silicon atoms with helium atoms lined up in the channels. It shouldElectronic properties of graphene (5,081 words) [view diff] exact match in snippet view article find links to article
equation for spin-1⁄2 particles. When atoms are placed onto the graphene hexagonal lattice, the overlap between the pz(π) orbitals and the s or the px and pySound amplification by stimulated emission of radiation (7,503 words) [view diff] exact match in snippet view article find links to article
Brillouin zones, a) in a square lattice, and b) in a hexagonal latticeChemistry: A Volatile History (6,577 words) [view diff] exact match in snippet view article find links to article
three bonds are connected to other carbon atoms in a two-dimensional hexagonal lattice, allowing layers to slide over each other, making graphite soft. TheTransition metal dichalcogenide monolayers (10,542 words) [view diff] exact match in snippet view article find links to article
often two atomic species: a metal and two chalcogens. The honeycomb, hexagonal lattice has threefold symmetry and can permit mirror plane symmetry and/orMaterials science (6,723 words) [view diff] exact match in snippet view article find links to article
structure. Most common structural materials include parallelpiped and hexagonal lattice types. In single crystals, the effects of the crystalline arrangement