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1. Full Text Lattice Green functions: The seven-dimensional face-centred cubic lattice
by Zenine, N and Hassani, S and Maillard, J.M
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 01/2015, Volume 48, Issue 3, p. 35205
We present a recursive method to generate the expansion of the lattice Green function of the d-dimensional face-centred cubic (fcc) lattice. We produce a long... 
Fuchsian ODE | return probability | Landau conditions | apparent singularities | lattice Green function | face-centred cubic lattice | long series expansions | FACTORIZATION | PHYSICS, MULTIDISCIPLINARY | SINGULARITIES | PHYSICS, MATHEMATICAL | INTEGRALS | FUCHSIAN DIFFERENTIAL-EQUATION | MODEL CHI() SUSCEPTIBILITY | ISING CLASS | Mathematics | Physics
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2. Full Text The J1-J2 model on the face-centered-cubic lattices
by Sun, Ning-Ning and Wang, Huai-Yu
Journal of Magnetism and Magnetic Materials, ISSN 0304-8853, 05/2018, Volume 454, pp. 176 - 184
The antiferromagnetic systems on the face-centered-cubic lattices are studied in detail by the Heisenberg - model by the Green’s function method. The studied... 
Antiferromagnetic | Face-centered-cubic lattice | The J1-J2 model | Frustration | Phase transition | NiS2 | NiS | model | The J
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3. Lattice Green functions: the sevendimensional face-centred cubic lattice
by Zenine, N and Hassani, S and Maillard, J M
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 01/2015, Volume 48, Issue 3, pp. 1 - 19
We present a recursive method to generate the expansion of the lattice Green function of the d-dimensional face-centred cubic (fcc) lattice. We produce a long... 
Economics | Operators | Cubic lattice | Green's functions | Mathematical analysis | Face centered cubic lattice | Lattices | Differential equations
Journal Article
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4. Full Text Lattice Green functions: The d-dimensional face-centered cubic lattice, d = 8, 9, 10, 11, 12
by Hassani, S and Koutschan, Ch and Maillard, J.-M and Zenine, N
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 03/2016, Volume 49, Issue 16, p. 164003
We previously reported on a recursive method to generate the expansion of the lattice Green function (LGF) of the d-dimensional face-centered cubic lattice... 
D-finite systems | fuchsian linear differential equations | differential Galois groups | partial differential equations | face-centered cubic lattice | lattice Green function | long series expansions | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Mathematics | Physics
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5. Full Text Cosine‐Weighted B‐Spline Interpolation on the Face‐Centered Cubic Lattice
by Rácz, Gergely Ferenc and Csébfalvi, Balázs
Computer Graphics Forum, ISSN 0167-7055, 06/2018, Volume 37, Issue 3, pp. 503 - 511
Cosine‐Weighted B‐spline (CWB) interpolation [Csé13] has been originally proposed for volumetric data sampled on the Body‐Centered Cubic (BCC) lattice. The BCC... 
CCS Concepts | Volumetric models | Computing methodologies → Image processing | COMPUTER SCIENCE, SOFTWARE ENGINEERING | RECONSTRUCTION | Interpolation | Body centered cubic lattice | Sampling | Face centered cubic lattice
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6. Full Text On Molecular Descriptors of Face-Centered Cubic Lattice
by Yang, H and Rashid, MA and Ahmad, S and Khan, SS and Siddiqui, MK
PROCESSES, ISSN 2227-9717, 05/2019, Volume 7, Issue 5, p. 280
Face-centered cubic lattice FCC(n) has received extensive consideration as of late, inferable from its recognized properties and non-poisonous nature, minimal... 
ENGINEERING, CHEMICAL | Zagreb-type indices | 05C12 | Balaban index | geometric arithmetic index | WIENER INDEX | atom-bond connectivity index | 05C90 | forgotten index | face-centered cubic lattice FCC(n) | TOPOLOGICAL INDEXES | atom–bond connectivity index
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7. Full Text The J(1)-J(2) model on the face-centered-cubic lattices
by Sun, NN and Wang, HY
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, ISSN 0304-8853, 05/2018, Volume 454, pp. 176 - 184
The antiferromagnetic systems on the face-centered-cubic lattices are studied in detail by the Heisenberg J(1)-J(2) model by the Green's function method. The... 
Antiferromagnetic | PHYSICS, CONDENSED MATTER | GROUND-STATE | SQUARE-LATTICE | SPIN-1/2 HEISENBERG-ANTIFERROMAGNET | MATERIALS SCIENCE, MULTIDISCIPLINARY | The J-J model | COMPETING INTERACTIONS | MAGNETIC EXCITATIONS | GREENS-FUNCTION THEORY | 1ST-ORDER TRANSITION | Face-centered-cubic lattice | Frustration | RANDOM-PHASE-APPROXIMATION | QUANTUM FLUCTUATIONS | Phase transition | NiS2 | BCC ISING-MODEL
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8. Full Text Eigenvalue solvers for three dimensional photonic crystals with face-centered cubic lattice
by Huang, Tsung-Ming and Hsieh, Han-En and Lin, Wen-Wei and Wang, Weichung
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 12/2014, Volume 272, pp. 350 - 361
To numerically determine the band structure of three-dimensional photonic crystals with face-centered cubic lattices, we study how the associated large-scale... 
Shift-invert residual Arnoldi method | Three-dimensional photonic crystals | Null space free eigenvalue problem | Face-centered cubic lattice | Fast Fourier transform matrix–vector multiplications | Maxwell’s equations | Maxwell's equations | Fast Fourier transform matrix-vector multiplications | DOUBLE-CURL OPERATOR | MATHEMATICS, APPLIED | WAVE-GUIDES | LASER | BAND-STRUCTURE
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9. Full Text Lattice Green functions of the higher-dimensional face-centered cubic lattices
by Koutschan, Christoph
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 03/2013, Volume 46, Issue 12, pp. 125005 - 14
We study the face-centered cubic (fcc) lattice in up to six dimensions. In particular, we are concerned with lattice Green functions (LGFs) and return... 
PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Telescoping | Cubic lattice | Green's functions | Mathematical analysis | Face centered cubic lattice | Lattices | Mathematical models | Hardware | Computer algebra
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10. Full Text Wiener index on rows of unit cells of the face‐centred cubic lattice
by Mujahed, Hamzeh and Nagy, Benedek
Acta Crystallographica Section A, ISSN 2053-2733, 03/2016, Volume 72, Issue 2, pp. 243 - 249
The Wiener index of a connected graph, known as the `sum of distances', is the first topological index used in chemistry to sum the distances between all... 
non‐traditional grids | face‐centred cubic lattice | Wiener index | shortest paths | combinatorics on grids | non-traditional grids | face-centred cubic lattice | NUMBER | CRYSTALLOGRAPHY | CHEMISTRY, MULTIDISCIPLINARY
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11. Full Text Box Spline Reconstruction On The Face-Centered Cubic Lattice
by Minho Kim and Entezari, A and Peters, J
IEEE Transactions on Visualization and Computer Graphics, ISSN 1077-2626, 11/2008, Volume 14, Issue 6, pp. 1523 - 1530
We introduce and analyze an efficient reconstruction algorithm for FCC-sampled data. The reconstruction is based on the 6-direction box spline that is... 
Algorithm design and analysis | Level set | Lattices | FCC | Reconstruction algorithms | Face-Centered Cubic lattice | Index Terms— | Spline | Signal resolution | Filters | Sampling methods | Approximation algorithms | volumetric data reconstruction | box spline | Box spline | Face-centered cubic lattice | Volumetric data reconstruction | INTERPOLATION | COMPUTER SCIENCE, SOFTWARE ENGINEERING | Reconstruction | Visualization | Algorithms | Approximation | Mathematical analysis | Splines | Continuity
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12. Full Text Phase transitions and thermodynamic properties of the antiferromagnetic Potts model on a face-centered cubic lattice
by Babaev, Albert and Murtazaev, Akai and Kassan-Ogly, Felix and Proshkin, Alexey
EPJ Web of Conferences, ISSN 2101-6275, 07/2018, Volume 185, p. 11008
Using the Monte Carlo method we investigate the phase transitions and thermodynamic properties of magnetic structures with noncollinear directions of magnetic... 
Antiferromagnetism | Monte Carlo method | Computer simulation | Lattices | Magnetic moments | Order parameters | Phase transitions | Internal energy | Magnetic permeability | Face centered cubic lattice | Mathematical models | Thermodynamic properties | Monte Carlo simulation | Magnetic properties
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13. Full Text Exact Formula for Computing the Hyper-Wiener Index on Rows of Unit Cells of the Face-Centred Cubic Lattice
by Mujahed, Hamzeh and Nagy, Benedek
Analele Universitatii "Ovidius" Constanta - Seria Matematica, ISSN 1224-1784, 03/2018, Volume 26, Issue 1, pp. 169 - 187
Similarly to Wiener index, hyper-Wiener index of a connected graph is a widely applied topological index measuring the compactness of the structure described... 
Crystal Structure | Sum of Distances | Hyper-Wiener Index | Secondary 05C30 | Shortest Paths | 82B20 | Non- Traditional Grids | Topological Graph Indices | Integer sequences | Face-Centred Cubic Lattice | Compactness Measures | 92E10 | 11Y55 | 94C15 | Recurrence relations | Primary 05C12 | Compactness measures | Face-centred cubic lattice | Topological graph indices | Non-traditional grids | Sum of distances | Shortest paths | Hyper-wiener index | Crystal structure | MATHEMATICS, APPLIED | GRAPHS | MATHEMATICS | Non-Traditional Grids
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14. Full Text Artificial boundary conditions for atomic simulations of face-centered-cubic lattice
by Fang, Ming and Tang, Shaoqiang and Li, Zhihui and Wang, Xianming
Computational Mechanics, ISSN 0178-7675, 2012, Volume 50, Issue 5, pp. 645 - 655
We design a class of matching boundary conditions for atomic simulations of the face-centered-cubic lattice. Such a condition takes the form of a linear... 
Reflection coefficient | Face-centered-cubic lattice | Dispersion relation | Nanoindentation | Artificial boundary condition | Atomic simulation | DISLOCATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | DYNAMICS | WAVE-EQUATION | CRYSTALLINE SOLIDS | Analysis | Wave propagation | Matching | Multiplication | Cubic lattice | Lattice design | Simulation | Computer simulation | Mathematical analysis | Boundary conditions | Wave reflection | Reflectance
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15. Full Text Patterns and their interaction in excitable media on face-centered cubic lattice
by Ninagawa, Shigeru
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN 0302-9743, 2018, Volume 11324, pp. 99 - 110
Excitable medium | Cellular automaton | Face-centered cubic lattice
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16. Full Text Atomic Mobilities in the Ag-Cu-Sn Face-Centered Cubic Lattice
by Gierlotka, W and Chen, Y.H and Haque, M.A and Rahman, M.A
Journal of Electronic Materials, ISSN 0361-5235, 12/2012, Volume 41, Issue 12, pp. 3359 - 3367
Knowledge of atomic mobilities is necessary to predict the evolution of microstructure. The theoretical description of atomic mobilities is connected to the... 
Solid State Physics | Atomic mobility | Electronics and Microelectronics, Instrumentation | Optical and Electronic Materials | tin | Characterization and Evaluation of Materials | CALPHAD | copper | Material Science | Dictra | silver | face-centered cubic lattice | Silver | Face-centered cubic lattice | Tin | Copper | PHYSICS, APPLIED | SELF-DIFFUSION | MATERIALS SCIENCE, MULTIDISCIPLINARY | IMPURITY DIFFUSION | ENGINEERING, ELECTRICAL & ELECTRONIC | INTERDIFFUSION | Thermal properties | Tin alloys | Thermodynamics | Atomic properties | Research | Microstructure | Silver alloys | Electronics | Materials science | Chemical engineering | Soldering
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17. Full Text Efficient LBM Visual Simulation on Face-Centered Cubic Lattices
by Petkov, K and Feng Qiu and Zhe Fan and Kaufman, A.E and Mueller, K
IEEE Transactions on Visualization and Computer Graphics, ISSN 1077-2626, 09/2009, Volume 15, Issue 5, pp. 802 - 814
The Lattice Boltzmann method (LBM) for visual simulation of fluid flow generally employs cubic Cartesian (CC) lattices such as the D3Q13 and D3Q19 lattices for... 
Visualization | Computational modeling | Memory | FCC | Fluid flow | Lattice Boltzmann method | face-centered cubic | GPU | Lattice Boltzmann methods | D3Q13 | Physics computing | Layout | Sampling methods | fD3Q13 | D3Q19 | Context modeling | Face-centered cubic | FD3Q13 | BOUNDARY-CONDITIONS | SPHERES | BOLTZMANN METHOD | COMPUTER SCIENCE, SOFTWARE ENGINEERING | REYNOLDS-NUMBER | FLUID | FLOWS | Simulation | Cubic lattice | Computer simulation | Computation | Face centered cubic lattice | Lattices | Mathematical models | Visual
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18. Full Text Observation of Body‐Centered Cubic Gold Nanocluster
by Liu, Chao and Li, Tao and Li, Gao and Nobusada, Katsuyuki and Zeng, Chenjie and Pang, Guangsheng and Rosi, Nathaniel L and Jin, Rongchao
Angewandte Chemie International Edition, ISSN 1433-7851, 08/2015, Volume 54, Issue 34, pp. 9826 - 9829
The structure of nanoparticles plays a critical role in dictating their material properties. Gold is well known to adopt face‐centered cubic (fcc) structure.... 
gold | nanoclusters | structure elucidation | body‐centered cubic | body-centered cubic | BINDING MOTIF | CRYSTAL-STRUCTURE | OPTICAL-PROPERTIES | ATOMIC PRECISION | CHEMISTRY, MULTIDISCIPLINARY | PROTECTED AU-24 NANOCLUSTER | BIMETALLIC NANOCLUSTERS | THIOLATE | NANOPARTICLES | STRUCTURAL EVOLUTION | CLUSTER | Gold | Alloys | Nanoparticles | Body centered cubic lattice | Face centered cubic lattice | X-rays | Ligands | Nanostructure | Crystallography
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19. Full Text On the Exact Evaluation of the Face-Centred Cubic Lattice Green Function
by Joyce, G S and Delves, R T
Journal of Statistical Physics, ISSN 0022-4715, 11/2011, Volume 145, Issue 3, pp. 613 - 638
The mathematical properties of the lattice Green function are investigated, where w=w 1+iw 2 lies in a complex plane which is cut from w=−1 to w=3, and {ℓ 1,ℓ... 
Physical Chemistry | Theoretical, Mathematical and Computational Physics | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Green function | Face-centred Cubic Lattice | Physics | INTEGRALS | HYPERGEOMETRIC FUNCTION | PHYSICS, MATHEMATICAL
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20. Full Text BFACF-style algorithms for polygons in the body-centered and face-centered cubic lattices
by Janse van Rensburg, E J and Rechnitzer, A
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 04/2011, Volume 44, Issue 16, pp. 165001 - 25
In this paper, the elementary moves of the BFACF-algorithm (Aragao de Carvalho and Caracciolo 1983 Phys. Rev. B 27 1635-45, Aragao de Carvalho and Caracciolo... 
PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | KNOTS | Body centered cubic lattice | Algorithms | Cubic lattice | Mathematical analysis | Face centered cubic lattice | Lattices | Knots | Polygons | Physics - Statistical Mechanics
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