The word "siddhi" [1] generally means some kind of non-ordinary power. These can be granted as a boon after accumulation of certain practices, developed through opening of energy centers within the subtle body, or learned in past lives (on or off Earth).
Also known as the "clairs", these are various ways the human consciousness can experience psychic and subtle energy phonomena in a way that is translated into a sensory modality.
These are the classic five elements from Western and Indian elements. Systems can differ. The siddhis for each of these elements can be invokations or evokations.
The minor arcana of the Tarot describes the element, instrument, and the Tree of Life .
These are the five elements from Chinese elements, although historically, there are systems that may have more, or less, and in different arrangement. Each of these have specific siddhi that is not related to the element, and not exactly an invokation or evocation.
The advance form of using ritual implements such as the athame or the kila is a kind of siddhi where conceptual principle underlying the use of a the instrument as a focus itself becomes distilled into a siddhi.