Lavender quartz is a rare, pastel pinkish-purple variety of macrocrystalline quartz, often called lavender moon quartz or lavender rose quartz. 
Known for its soft, milky, or hazy appearance, it is mainly sourced from a single mine in Bahia, Brazil. 
It is highly prized for its delicate color, believed to be caused by trace amounts of manganese or titanium. 
Color & Appearance: Ranges from light pinkish-purple to lilac, offering a more subdued tone than amethyst.
Origin: Primarily found in the now non-producing Boquira Mine in Bahia, Brazil, making high-quality specimens rare.
Properties: A type of rose quartz with a hardness of 7 on the Mohs scale, making it durable for jewelry.
Metaphysical Uses: Associated with inner peace, emotional healing, self-love, and compassion.
Treated vs. Natural: While natural, some "lavender moon quartz" found in the market is treated with cobalt to achieve its color. 
Key Differences:
vs. Amethyst: Lavender quartz is a unique, softer shade, not a standard purple amethyst.
vs. Rose Quartz: It is a distinct, lavender-hued variety, often with a more opaque, dreamy appearance. 
It is often used in jewelry, such as polished spheres, beads, and facets, due to its delicate, romantic look