There are 25 space groups ( 143 to 167 ) whose corresponding point groups are one of the five in the trigonal crystal system, consisting of the seven space groups associated with the rhombohedral lattice system together with 18 associated with the hexagonal lattice system.
22.
Crystal systems, crystal families and lattice systems are similar but slightly different, and there is widespread confusion between them : in particular the trigonal crystal system is often confused with the rhombohedral lattice system, and the term " crystal system " is sometimes used to mean " lattice system " or " crystal family ".
23.
?-quartz crystallizes in the trigonal crystal system, space group " P " 3 1 21 and " P " 3 2 21 respectively . ?-quartz belongs to the hexagonal system, space group " P " 6 2 22 and " P " 6 4 22, respectively.
24.
If the crystal system is trigonal, then the lattice system is hexagonal unless the space group is one of the seven in the rhombohedral lattice system consisting of the 7 trigonal space groups in the table above whose name begins with R . ( The term rhombohedral system is also sometimes used as an alternative name for the whole trigonal system . ) The hexagonal lattice system is larger than the hexagonal crystal system, and consists of the hexagonal crystal system together with the 18 groups of the trigonal crystal system other than the seven whose names begin with R.
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