Amethyst is a powerful stone which vibrates high frequencies creating a bubble of spiritual protection against negative energies. It calms and stimulates the mind, helping you become more focused, enhancing memory and improving motivation.
Amethyst is deeply connected to the third eye chakra (the centre of spirituality and intuition) and the crown chakra (the chakra that controls our connection to the universe). These energy centres can be associated with the colour purple, which helps to explain why Amethyst is such a powerful stone to balance, open, and activate the third eye and crown chakras.
Amethyst is most famous for its different shades of purple, which can range from a light shade of lilac to a deep plum colour. Usually consisting of various zones of colour intensity, due to the angles of the cut. Hence the meaning of amethyst can differ, but generally Amethyst means calmness and stillness.
Amethyst is a wonderful stone when working in times of confusion or chaos, providing common sense and flexibility in times of crisis. 
Emotionally, it calms and aids the transmission of neural signals through the brain, very helpful where insomnia is caused by an over-active mind and protects against recurrent nightmares.
Amethyst promotes responsibility, self worth, spiritual peace and meditation.
Enhances memory and improves motivation, making you more able to set realistic goals. It can help you to remember and understand dreams and eases the visualisation process. Amethyst balances out highs and lows, promoting emotional centring. It eliminates anger, rage, fear, and anxiety, reducing sadness and grief, it supports coming to terms with loss.
Overall Amethyst is beneficial for the mind and emotions.