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By Dr. Dr. h. c. Carl W. Correns (auth.)

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Ditetragonal pyramid called the tetragonal trapezohedral and has the symbol 422. NiS0 4 • 6 H 20 crystallizes in this olass. 99). The general form is the ditetragonal dipyramid {hkl}, (Fig. 100), whieh possesses eight paired faces on the upper as .. ---T----o" ~ a<;. ' I I I I +" // -, / / \ t-i-----'... ~----~ . \ , + . / ' JI ', ' 0 '" \ / I ,,' ~~"O I ---- ~- - --:'~ b a Fig. 96a and b. Symmetry elementa (a) and stereographie projection (b) of the tetragonal trapezohedral elass 422 Fig. 98.

107) and negative scalenohedra (Fig. 108) can be distinguished. In this tetragonal scalenohedral class, 42m, are found disphenoids {hhl} (Fig. 109 shows {lll} and {332}), ~s weIl as prisms 1. {llO} and 11. {100} orientations, dipyramids 11. orientation {hOl} and the pinacoid {OOI}. This class is represented by the mineral chalcopyrite (CuFeS 2) (Fig. 109), the most abundant copper mineral, Fig . 107. Positive tetragonal scalenohedron Fig . 108. Negative tetragonal scalenohedron Fig. 109. Chalcopyrite I The Cubic Classes.

We shall call the first class the pedial. 24. (a) Pedion; (b) Stereographie pro- tation axis (which is of course always present) (Fig . 24 b). In nature such asymjection of the pedial class 1 metric crystals of the rare mineral strontian hilgardite (Sr,Ca)2BSÜS(üH)2Cl occur. In the laboratory one can prepare crystals of calcium thiosulfate, CaS 2Üa· 6H 2ü, which crystallize in this class . As members of the next class, we consider those crystals which possess only a center of symmetry. Here each face is accompanied by an equivalent and opposite parallel face.

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