000843841 000__ 03972cam\a2200517M\\4500 000843841 001__ 843841 000843841 005__ 20230306144816.0 000843841 006__ m\\\\\o\\d\\\\\\\\ 000843841 007__ cr\|n\nnnunnun 000843841 008__ 180706s2018\\\\sz\\\\\\ob\\\\000\0\eng\d 000843841 019__ $$a1043566358 000843841 020__ $$a9783319942261$$q(electronic book) 000843841 020__ $$a3319942263$$q(electronic book) 000843841 020__ $$z9783319942254 000843841 020__ $$z3319942255 000843841 035__ $$aSP(OCoLC)on1043406715 000843841 035__ $$aSP(OCoLC)1043406715$$z(OCoLC)1043566358 000843841 040__ $$aYDX$$beng$$cYDX$$dGW5XE$$dEBLCP$$dN$T$$dUAB 000843841 049__ $$aISEA 000843841 050_4 $$aTA404.23 000843841 08204 $$a620.1/1015118$$223 000843841 1001_ $$aKikuchi, Akihito. 000843841 24510 $$aComputer algebra and materials physics :$$ba practical guidebook to group theoretical computations in materials science /$$cAkihito Kikuchi. 000843841 260__ $$aCham :$$bSpringer,$$c2018. 000843841 300__ $$a1 online resource. 000843841 336__ $$atext$$btxt$$2rdacontent 000843841 337__ $$acomputer$$bc$$2rdamedia 000843841 338__ $$aonline resource$$bcr$$2rdacarrier 000843841 4901_ $$aSpringer series in materials science,$$x0933-033X ;$$vv. 272 000843841 504__ $$aIncludes bibliographical references. 000843841 5058_ $$a5.1 How to Manage Quantum-Dynamics in Crystal?5.2 Control of Band Gaps by Means of the Wyckoff Positions; 5.3 A Possible Plan of Material Design in the Super-Cell; References; 6 Technical Details; 6.1 About This Chapter; 6.2 Determination of Crystal Symmetry; 6.3 Symmetry Operations in the Reciprocal Space; 6.4 The Computation of the Compatibility Relation; 6.5 The Character Table at the Boundary of the Brillouin Zone; 6.5.1 The Necessity of the Special Treatment for the Non-symmorphic Crystal; 6.5.2 Herring Method: An Example; 6.6 The Semidirect Product and the Induced Representation 000843841 5058_ $$a6.7 The Computation of the Character Table in the Cubic Diamond by GAP6.8 Crystal Lattice and Cohomology; 6.8.1 A Brief Introduction to Group Cohomology; 6.8.2 The Possible Fractional Translations with One Point Group; 6.8.3 Group Extension; 6.9 Remarks to This Chapter; References; 7 Symmetry in C60; 7.1 The Initial Set-Up; 7.2 The Analysis of the Eigenstates; 7.3 The Analysis Again, Against the Failure in the Identification; 7.4 The Perturbation and the Symmetry; 7.5 The Possible Deformation in the Reduced Symmetry 000843841 5058_ $$a7.6 The Reduction of the Symmetry, from the View Point of the Orbit in the Permutation7.7 The Symmetry in the Eigenstates (Hidden One); 7.8 The Super-Symmetries; 7.9 Remarks to This Chapter; Reference; 8 Analysis of Vibrational Mode in C60; 8.1 The Vibrational Modes of C60; 8.2 One Technical Problem; 8.3 Remark to This Chapter; References; 9 Final Remarks; References; A Symmetry Operations in the Diamond Structure (Real Space); Appendix B Symmetry Operations in the Hexagonal Lattice (Real Space); Appendix C Symmetry Operations in the Diamond Structure (Wave-Number Space) 000843841 5058_ $$aAppendix D Symmetry Operations in the Hexagonal Lattice (Wave-Number Space)Appendix E The Computation of Wyckoff Positions by GAP; Appendix F Subgroup Lattice; Appendix G A Short Program to Compute the Semidirect Product of Groups; Appendix H The Analytical Representation of the Energy Spectra of C60; Appendix I Comment on the Irreducible Representations in the Symmetry Group of C60; Appendix J The GAP Script in the Computation of Deformation in C60 000843841 506__ $$aAccess limited to authorized users. 000843841 588__ $$aDescription based on print version record. 000843841 650_0 $$aMaterials$$xMathematical models. 000843841 650_0 $$aGroup theory. 000843841 650_0 $$aComputer algorithms. 000843841 77608 $$iPrint version:$$z3319942255$$z9783319942254$$w(OCoLC)1037291763 000843841 830_0 $$aSpringer series in materials science ;$$vv. 272. 000843841 852__ $$bebk 000843841 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-94226-1$$zOnline Access$$91397441.1 000843841 909CO $$ooai:library.usi.edu:843841$$pGLOBAL_SET 000843841 980__ $$aEBOOK 000843841 980__ $$aBIB 000843841 982__ $$aEbook 000843841 983__ $$aOnline 000843841 994__ $$a92$$bISE