Face-centered cubic

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Topic: Face-centered cubic

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	Unit Cells
		Nickel crystallizes in a face-centered cubic unit cell with a cell-edge length of 0.3524 nm to calculate the radius of a nickel atom.
		The face-centered cubic unit cell is the simplest repeating unit in a cubic closest-packed structure.
		Similarly, the presence of particles in the center of the 1/2,0,1/2 and 1/2,1/2,0 faces of the unit cell implies equivalent particles in the centers of the 1/2,1,1/2 and 1/2,1/2,1 faces.
	chemed.chem.purdue.edu /genchem/topicreview/bp/ch13/unitcell.html

	Face-Centered Cubic Structure
		: a crystalline structure with a cubic unit cell with lattice points on the comers and in the center of each face.
	www.chem.purdue.edu /gchelp/gloss/fcc.html

	Dislocations in the Face-centered cubic lattice
		The shortest lattice vector is (ao/2)[110], which connects an atom at a cube corner with a neighboring atom at the center of a cube face.
		Slip occurs in the fcc lattice on the {111} plane in the > direction.
	www.eng.fsu.edu /~kalu/ema4225/00/topics/chap15/sld016.htm

	Face-centered Cubic
		A lattice with a cubic unit cell, the center of each face of which is identical in environment and orientation to its vertices.
	www.unistates.com /rmt/explained/glossary/facecenteredcubic.html

	Test cristallographie
		a face centered cubic structure with a four atom basis
		a face centered cubic structure with a two atom basis
		a body centered cubic structure with a four atom basis
	assocampus.ifrance.com /epages/test1.htm

	Chemistry : Chapter 10 : Solid Structures
		This is a body-centered cubic with X on the corners and in the body, and M on each face.
		To determine edge length for unit cell where the ions touch along a face, it is normally assumed that the atoms along the diagonal across the face are touching.
		Although there is an atom in the center of the unit cell, it is not of the same type as the atoms at the corners.
	www.wwnorton.com /chemistry/concepts/chapter10/ch10_1.htm

	Bravais lattices
		The three cubic Bravais lattices are the simple cubic lattice, the body centered cubic lattice and the face centered cubic lattice.
		The face centered lattice equals the simple cubic lattice with the addition of a lattice point in the center of each of the six faces of each cube.
		The zincblende lattice consist of a face centered cubic Bravais point lattice which contains two different atoms per lattice point.
	ece-www.colorado.edu /~bart/book/bravais.htm

	Crystal structure - Wikipedia, the free encyclopedia
		The simplest and most symmetric, the cubic (or isometric) system, has the symmetry of a cube.
		The crystal system is the point group of the lattice (the set of rotation and reflection symmetries which leave a lattice point fixed), not including the positions of the atoms in the unit cell.
		The other six systems, in order of decreasing symmetry, are hexagonal, tetragonal, rhombohedral (also known as trigonal), orthorhombic, monoclinic and triclinic.
	en.wikipedia.org /wiki/Crystal_structure

	Face Centered Cubic Cells
		The atoms in a face-centered cubic unit cell are located on the corners of a cube and in the centers of the faces
		Lattice points are located on the corners and in the centers of the faces of a face-centered cubic unit cell
		Lattice points are located on the corners and in the centers of the faces of a face-centered unit cell
	genchem.chem.wisc.edu /lab/winss/metal_cells/face_centered_cubic_metals/summary.htm

	Cubic-to-Tetragonal Transition
		is the lattice parameter of the cubic lattice.
		Arguably the most important martensitic transformation is the cubic to tetragonal transition in steels (Fe-C); however, this transformation is not thermoelastic, so it is not considered.
		The transformation stretch matrices are the gradient of the deformations which take a cubic lattice into a tetragonal lattice.
	www.aem.umn.edu /people/faculty/shield/hane/tet.html

	Face Centered Cubic (210) Surface
		As with the simple cubic case, the arrangement of atoms is complex with some subsurface atoms exposed.
		The (210) face runs parallel to the z-axis, cuts the y-axis at the cell edge and cuts the x-axis half-way along the cell edge.
		The dots indicate the lattice sites in each face which are in addition to those found at each corner of the cube.
	www.chembio.uoguelph.ca /educmat/chm729/ans/ans1/fcc210.htm

	Face-Centered Cubic Unit Cell
		The unit cell for this structure is cubic (all sides of the same length and all face perpendicular to each other) with a silver atom at each corner of the unit cell and a silver atom in the center of each face of the unit cell.
		As described above, an atom is centered on each corner and in the middle of each face of the fcc unit cell.
		Thus the diagonal of the face of the unit cell has a length of 4 r, where r is the radius of a silver atom.
	www.chm.davidson.edu /ChemistryApplets/Crystals/UnitCells/ccp.html

	Face Centered Cubic Lattice
		The fcc lattice, like the hexagonal close pack lattice is a close pack structure.
		Examples of FCC crystals are aluminum, gold, copper and silver.
	home3.netcarrier.com /~chan/SOLIDSTATE/CRYSTAL/fcc.html

	solids.html
		The simples cubic arrangement contains a chloride ion on the center of each face as well as at the corners of the unit cell; hence the unit cell is face centered cubic.
		The structure resulting from placing third layer spheres in depressions described second is called cubic close packed (ccp), the unit cell of which is face centered cubic (fcc) (see Figure 4).
		Upon examining close packed structures it can be seen that there is a sharing of a corner atom by eight unit cells and a sharing of a face centered atom by two unit cells.
	www.msu.edu /course/lbs/172/spees/solids.html

	A08
		A08 Discuss the packing density of the simple cubic, the body-centered cubic, and the face-centered cubic structure, and identify the maximal packing density of these three structures.
		The face centered cubic structure contains a total of 4 atoms per cube.
		The body centered cubic structure contains a total of 2 atoms per cube.
	nersp.nerdc.ufl.edu /~soderho/a8.htm

	Leighton, Robert B (1947-01-01) The vibrational spectrum of a mon-atomic face-centered cubic crystal lattice. http://resolver.caltech.edu/CaltechETD:etd-01092004-101503
		The equations of motion of the atoms of a face-centered, cubic crystal lattice are written, assuming central, Hooke's Law forces between each atom and its eighteen nearest neighbors, and the secular determinant defining the normal frequencies is obtained.
		The properties of the roots of the secular determinant are discussed, and it is shown that the surfaces of constant frequency have the symmetry properties (in reciprocal-vector space) of a body-centered cubic lattice.
		Leighton, Robert B (1947-01-01) The vibrational spectrum of a mon-atomic face-centered cubic crystal lattice.
	resolver.caltech.edu /CaltechETD:etd-01092004-101503

	vrml.html
		The face-centered cubic struture may be visualized as a simple cubic structure with six atoms occupying each of the six faces of the cube.
		The body-centered cubic structure may be visualized as a simple cubic structure with atom occupying the center of each cube.
		These two models show eight unit cells of the body-centered cubic structure.
	www.uncp.edu /home/mcclurem/lattice/vrml/vrml.html

	Patent 5057380: Soft magnetic thin films of alloys of FeCoNi or FeCoDy and laminates comprising alternate layers of face centered cubic and body centered cubic crystal structure
		This alloy assumes an.alpha.-phase (body-centered cubic crystal), a.gamma.-phase (face-centered cubic crystal) or an.epsilon.-phase (hexagonal phase), with the solid line in the drawing as the boundary, depending upon the contents of the respective elements.
		It is seen from the Table that the Fe.sub.86 Si.sub.14 layers film has a body-centered cubic structure while the Fe.sub.30 Co.sub.40 Ni.sub.30 has a face-centered cubic structure and the laminated film contains both of these structures, with one of the crystal structures dominating according to the film thicknesses of the respective layers.
		The composition range of the present invention corresponds to the hatched line area in the drawing and substantially assumes the face-centered cubic structure and a positive magnetostriction constant.
	www.freepatentsonline.com /5057380.html

	tech103-Ch3-LearnObj.doc
		Schematically diagram face-centered cubic, body-centered cubic, and hexagonal close-packed unit cells.
		Given the atomic radius of an atom that forms into a face-centered cubic crystal structure as well as the metal's atomic weight, compute its density.
		Given the atomic radius of an atom that forms into a body-centered cubic crystal structure as well as the metal's atomic weight, compute its density.
	www.engr.sjsu.edu /wrchung/images/tech103-Ch3-LearnObj.doc

	Crystal Structures
		The geometry of the body-centered cubic unit cell is described.
		An interactive virtual reality representation of a cubic closest-packed structure is presented, and the viewer is asked to determine types of holes present in the structure and the number of each type in the unit cell.
		The properties and unit cell of the cubic closest-packed structure are described.
	www.chm.davidson.edu /ChemistryApplets/Crystals

	Patent 5024931: Photographic emulsions sensitized by the introduction of oligomers
		For size compatibility with the face centered cubic crystal lattice structure of silver halide grains the ligands are preferably chloride or bromide ligands.
		A method of preparing a photographic emulsion according to claim 10 further characterized that the oligomers are introduced into the face centered cubic crystal lattice structure as anionic hexacoordination complexes consisting essentially of the group VIII metal ions and bridging ligands.
		The important point to observe is that all of the molecular weight and sterically varied oligomers contemplated for use in the practice of this invention exhibit a pattern of alternating group VIII 5/6 atoms and ligands similar to that found in the face centered cubic crystal lattice structure of a radiation sensitive silver halide grain.
	www.freepatentsonline.com /5024931.html

	AllRefer.com - ytterbium, Compound & Element (Compounds And Elements) - Encyclopedia
		It exhibits allotropy ; at room temperature a face-centered cubic crystalline form is stable.
		Although it is one of the rare-earth metals of the lanthanide series in group IIIb of the periodic table, in some of its chemical and physical properties it more closely resembles calcium, strontium, and barium.
		The metal tarnishes slowly in air and reacts slowly with water but rapidly dissolves in mineral acids.
	reference.allrefer.com /encyclopedia/Y/ytterbiu.html

	Chemistry : Chapter 10 : Overview
		A face-centered cubic (fcc) is the same length on each side and has a particle at each corner and one on each face (Figure 10.4).
		In a body-centered cubic, ions touch in a diagonal from one corner, across the center of the cell to the opposite corner.
		Particles on the edge count one-fourth, particles on the face count one-half and particles completely within the unit cell count as one.
	www.wwnorton.com /chemistry/overview/ch10.htm

	Lattice Packing Densities in 3D of Cubic and fcc lattices
		The face centered cubic packing has centers at each point on the lattice generated by the three vectors (0,1,1), (1,0,1), and (1,1,0).
		The cubic sphere packing has centers of spheres at all points (i,j,k) where i, j, and k are integers.
		The fcc lattice is the set of points in the integer lattice whose coordinates sum to an even integer.
	www.math.fsu.edu /~quine/IntroMathBio_03/space_groups/3Dlattice_packing_density.htm

	Introduction to Cubic Crystal Lattice Structures
		This structure can be viewed two different ways: face-centered cubic in chloride ions with sodium ions in every octahedral hole, or as two interpenetrating face-centered cubic structures.
		The last unit cell is the face-centered cubic cell.
		The body-centered cubic structure is built up of body-centered cubic unit cell containing two atoms in each unit cell, one atom from the eight, one-eighth portions of the eight corner atoms and one from the atom located in the center of the unit cell.
	www.okstate.edu /jgelder/solstate.html

	Close Packed Structures
		This structure represents the simplest of all structures based on a face centered cubic Bravais lattice, one with a single atom as the basis (asymmetric unit).
		Cubic close packing leads to a structure with a face centered cubic unit cell as shown below.
		To do this you should keep in mind that atoms located at the corners, edges and faces of the unit cell are not fully contained in a single unit cell, so that they only partially occupy the unit cell.
	www.chemistry.ohio-state.edu /~woodward/ch754/str_cp.htm

	Promorphology of Crystals Preparation 3-D II
		The green sphere is centering the cube's face that is directed to the observer (front face), while the light blue sphere is centering the back face of the cube.
		Because the symmetry of the original cubic unit cell, as depicted in Figure 15a, was not increased by the eliminations of the glide translations, we could also take this original cubic unit cell as representing the Complex Motif.
		All the faces of the cube are, however, fully equivalent, and the same goes for all the spheres.
	home.hetnet.nl /~turing/preparation_3dim_2.html

	Face Centered Cubic (FCC)
		FCC systems have an APF of 0.74, the maximum packing for a system in which all spheres have equal diameter.
		Atomic Packing Factor: the ratio of atomic sphere volume to unit cell volume, assuming a hard sphere model.
	www.jwave.vt.edu /crcd/farkas/lectures/structure/sld004.htm

	ppe01
		The effect of steady shear and oscillatory shear on the orientation of a face-centered cubic micellar phase formed by an poly(oxyethylene)-poly(oxybutylene) (EB) diblock copolymer in an aqueous salt solution was investigated using small-angle X-ray scattering (SAXS) on station 2.1 [1].
		Effect of Shear on the Face Centered Cubic Phase in a Diblock Copolymer Gel
		Upon cessation of shear, melted grains recrystallized in a distinct orientation of an fcc crystal with a [110] direction parallel to the shear.
	srs.dl.ac.uk /Annual_Reports/AnRep00_01/Annexe/Section16/ppe01.html

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