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Oh点群的魔方表示:操作序列就是点群元素_哔哩哔哩_bilibili
Oh点群的魔方表示:操作序列就是点群元素_哔哩哔哩_bilibili
R'FR'B2RF'R'B2R2和它的47个变种可以表示Oh点群的48个元素,这就是Oh点群的魔方算法表示,需要强调的是这48个操作序列都满足( )^3=I:
8个三次轴(8C3):U'RU'L2UR'U'L2U2, F'DF'U2FD'F'U2F2,B'DB'U2BD'B'U2B2, B'UB'D2BU'B'D2B2,F'UF'D2FU'F'D2F2,D'RD'L2DR'D'L2D2, U'LU'R2UL'U'R2U2,D'LD'R2DL'D'R2D2;
8个S6轴(8S6):BD'BU2B'DBU2B2,UL'UR2U'LUR2U2,DR'DL2D'RDL2D2, UR'UL2U'RUL2U2,DL'DR2D'LDR2D2,BU'BD2B'UBD2B2,FU'FD2F'UFD2F2,FD'FU2F'DFU2F2;
6个二次轴(6C2):F'RF'L2FR'F'L2F2,U'BU'F2UB'U'F2U2, L'UL'D2LU'L'D2L2, D'BD'F2DB'D'F2D2,L'DL'U2LD'L'U2L2,B'LB'R2BL'B'R2B2;
6个四次轴(6C4):D'FD'B2DF'D'B2D2,R'UR'D2RU'R'D2R2,F'LF'R2FL'F'R2F2, U'FU'B2UF'U'B2U2,R'DR'U2RD'R'U2R2,B'RB'L2BR'B'L2B2;
6个S4轴(6S4):DB'DF2D'BDF2D2,LU'LD2L'ULD2L2,FL'FR2F'LFR2F2, UB'UF2U'BUF2U2,LD'LU2L'DLU2L2,BR'BL2B'RBL2B2;
6个d镜面(6md):BL'BR2B'LBR2B2,DF'DB2D'FDB2D2,RD'RU2R'DRU2R2, UF'UB2U'FUB2U2,RU'RD2R'URD2R2,FR'FL2F'RFL2F2;
3个二次轴(3C2):L'FL'B2LF'L'B2L2,R'BR'F2RB'R'F2R2,L'BL'F2LB'L'F2L2;
3个h镜面(3mh):RB'RF2R'BRF2R2,LF'LB2L'FLB2L2,RF'RB2R'FRB2R2;
1个空间反演(i):LB'LF2L'BLF2L2;
1个单位元素(e):R'FR'B2RF'R'B2R2;
Oh点群的魔方表示:操作序列就是点群元素_哔哩哔哩_bilibili
这个视频流动地展示了用魔方的操作序列表示了 Oh点群的48个元素。
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