It is a band of higher knowledge. By helping us open the Third Eye and unblock the Crown Chakra, it creates the possibility of awakening and attaining higher knowledge. Amethyst works with very high frequencies, helping us become more open to divine knowledge.
It's also said to aid concentration and memory. Physically, clear crystals are claimed to help stimulate the immune system and balance out your entire body.
Increases mind power, concentration, memory, intelligence, communication, knowledge, peace of mind, clarity in thoughts, achieve goals, passionate about learning.