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Isometric
a=b=c, isotropic
Tetragonal
90 angle between a and b axes, a=b≠c, uniaxial
Hexagonal
60 or 120 angle between a and b axes, a=b≠c, uniaxial
Orthorhombic
90 angle between all 3 axes, a≠b≠c, biaxial
Monoclinic
90 angle between only two axes, a≠b≠c, biaxial
Triclinic
all three axes have non-90 angles, a≠b≠c, biaxial