Orthorhombic crystals (and monoclinic and
triclinic crystals) have two directions in which light travels with zero
birefringence; these directions are called the
optic axes, and the crystal is said to be biaxial. The speed of a
ray of light travelling through the crystal differs with direction. The direction of the fastest ray is called the X direction and the direction of the slowest ray is called the Z direction. X and Z are
perpendicular to each other and a third direction Y is defined as perpendicular to both X and Z; light travelling along Y has an intermediate speed.
Refractive index is
inversely proportional to speed, so the refractive indices for the X, Y and Z directions increase from X to Z. Carminite is crystal axes a, b and c, but not necessarily in that order. The maximum birefringence δ is the difference between the highest and lowest refractive index; for carminite δ = 0.010. The angle between the two optic axes is called the optic angle, 2V, and it is always
acute, and
bisected either by X or by Z. If Z is the bisector then the crystal is said to be positive, and if X is the bisector it is said to be negative. Carminite is biaxial (+) and 2V is moderate to large. 2V depends on the refractive indices, but refractive index varies with
wavelength, and hence with colour. So 2V also depends on the colour, and is different for red and for violet light. This effect is called dispersion of the optic axes, or just dispersion (not to be confused with chromatic dispersion). If 2V is greater for red light than for violet light the dispersion is designated r > v, and vice versa. For carminite the dispersion is strong, with r The mineral exhibits strong
pleochroism; when viewed along the X direction it appears pale yellowish red and dark carmine red along the Y and Z directions.
Absorption is equal along the Y and Z optic directions, but less along the X optic direction. When a birefringent crystal is rotated between crossed
polarizers it will turn dark every 90° of rotation. This effect is known as
extinction. Carminite exhibits the parallel extinction that is characteristic of orthorhombic crystals. == Occurrence ==