A Point Group Character Tables Appendix A contains Point Group Character (Tables A.1-A.34)to be used throughout the chapters of this book.Pedagogic material to assist the reader in the use of these character tables can be found in Chap.3.The Schoenflies symmetry (Sect.3.9)and Hermann-Mauguin notations (Sect.3.10)for the point groups are also discussed in Chap.3. Some of the more novel listings in this appendix are the groups with five- fold symmetry C5,Csh,Csv,D5;D5d,Dsh,I,Ih.The cubic point group On in Table A.31 lists basis functions for all the irreducible representations of Oh and uses the standard solid state physics notation for the irreducible representations. Table A.1.Character table for group Ci(triclinic) C(1) E A 1 Table A.2.Character table for group Ci=S2(triclinic) S2(① E 2,y,22,ty.tz.yz Rz;Ry,R: Ag 1 1 ,y,2 u 1 -1 Table A.3.Character table for group Cih=S1 (monoclinic) Cih(m) E Oh x2,y2,22,xy R:,x,Y 1 x2,y2 R:,Ry:z A" 1 -1A Point Group Character Tables Appendix A contains Point Group Character (Tables A.1–A.34) to be used throughout the chapters of this book. Pedagogic material to assist the reader in the use of these character tables can be found in Chap. 3. The Schoenflies symmetry (Sect. 3.9) and Hermann–Mauguin notations (Sect. 3.10) for the point groups are also discussed in Chap. 3. Some of the more novel listings in this appendix are the groups with five￾fold symmetry C5, C5h, C5v, D5, D5d, D5h, I, Ih. The cubic point group Oh in Table A.31 lists basis functions for all the irreducible representations of Oh and uses the standard solid state physics notation for the irreducible representations. Table A.1. Character table for group C1 (triclinic) C1 (1) E A 1 Table A.2. Character table for group Ci = S2 (triclinic) S2 (1) E i x2, y2, z2, xy, xz, yz Rx, Ry, Rz Ag 1 1 x, y, z Au 1 −1 Table A.3. Character table for group C1h = S1 (monoclinic) C1h(m) E σh x2, y2, z2, xy Rz, x, y A 1 1 xz, yz Rx, Ry, z A 1 −1