Triclinic crystals (and
orthorhombic and
monoclinic 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. Talmessite is triclinic, so it is 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. The refractive indices are nα = 1.672, nβ = 1.685 and nγ = 1.698 with slightly higher values for the cobaltoan variety of nα = 1.695 and nγ = 1.73 (nβ not specified). The maximum birefringence δ is the difference between the highest and lowest refractive index; for talmessite δ = 0.026. 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. Talmessite may be biaxial (–) or biaxial (+). The measured value of 2V is about 90o. Also 2V can be calculated from the values of the refractive indices, giving a value of 88° 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 talmessite dispersion is strong, with r > v. The cobaltoan variety is
pleochroic colourless to pale rose. == Occurrence ==