3차원 결정군 목록

3차원 결정군 목록

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결정계	점군 / 결정족	쇤플리스	헤르만-모갱	오비폴드	유형
삼사정계	triclinic-pedial	C1	1	11	enantiomorphic polar
	triclinic-pinacoidal	Ci	[math]\displaystyle{ \bar{1} }[/math]	1x	centrosymmetric
단사정계	monoclinic-sphenoidal	C2	2	22	enantiomorphic polar
	monoclinic-domatic	Cs	[math]\displaystyle{ \color{Blue}m }[/math]	1*	polar
	monoclinic-prismatic	C2h	[math]\displaystyle{ \frac 2 m }[/math]	2*	centrosymmetric
사방정계	orthorhombic-sphenoidal	D2	222	222	enantiomorphic
	orthorhombic-pyramidal	C2v	[math]\displaystyle{ mm2 }[/math]	*22	polar
	orthorhombic-bipyramidal	D2h	[math]\displaystyle{ mmm }[/math]	*222	centrosymmetric
정방정계	tetragonal-pyramidal	C4	4	44	enantiomorphic polar
	tetragonal-disphenoidial	S4	[math]\displaystyle{ \bar{4} }[/math]	2x
	tetragonal-dipyramidal	C4h	[math]\displaystyle{ \frac 4 m }[/math]	4*	centrosymmetric
	tetragonal-trapezoidal	D4	422	422	enantiomorphic
	ditetragonal-pyramidal	C4v	[math]\displaystyle{ 4mm }[/math]	*44	polar
	tetragonal-scalenoidal	D2d	[math]\displaystyle{ \bar{4}2m }[/math] or [math]\displaystyle{ \bar{4}m2 }[/math]	2*2
	ditetragonal-dipyramidal	D4h	[math]\displaystyle{ \frac 4 {m}mm }[/math]	*422	centrosymmetric
삼방정계	trigonal-pyramidal	C3	3	33	enantiomorphic polar
	rhombohedral	S6 (C3i)	[math]\displaystyle{ \bar{3} }[/math]	3x	centrosymmetric
	trigonal-trapezoidal	D3	32 or 321 or 312	322	enantiomorphic
	ditrigonal-pyramidal	C3v	[math]\displaystyle{ 3m }[/math] or [math]\displaystyle{ 3m1 }[/math] or [math]\displaystyle{ 31m }[/math]	*33	polar
	ditrigonal-scalahedral	D3d	[math]\displaystyle{ \bar{3} m }[/math] or [math]\displaystyle{ \bar{3} m 1 }[/math] or [math]\displaystyle{ \bar{3} 1 m }[/math]	2*3	centrosymmetric
육방정계	hexagonal-pyramidal	C6	6	66	enantiomorphic polar
	trigonal-dipyramidal	C3h	[math]\displaystyle{ \bar{6} }[/math]	3*
	hexagonal-dipyramidal	C6h	[math]\displaystyle{ \frac 6 m }[/math]	6*	centrosymmetric
	hexagonal-trapezoidal	D6	622	622	enantiomorphic
	dihexagonal-pyramidal	C6v	[math]\displaystyle{ 6mm }[/math]	*66	polar
	ditrigonal-dipyramidal	D3h	[math]\displaystyle{ \bar{6}m2 }[/math] or [math]\displaystyle{ \bar{6}2m }[/math]	*322
	dihexagonal-dipyramidal	D6h	[math]\displaystyle{ \frac6{m}mm }[/math]	*622	centrosymmetric
입방정계	tetartoidal	T	23	332	enantiomorphic
	diploidal	Th	[math]\displaystyle{ m\bar{3} }[/math]	3*2	centrosymmetric
	gyroidal	O	432	432	enantiomorphic
	tetrahedral	Td	[math]\displaystyle{ \bar{4}3m }[/math]	*332
	hexoctahedral	Oh	[math]\displaystyle{ m\bar{3}m }[/math]	*432	centrosymmetric

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