Step 1: Understanding the Concept:
The question asks to identify which of the given genera are members of the family Characeae. The Characeae are a family of green algae in the order Charales, commonly known as stoneworts.
Step 2: Detailed Explanation:
Let's analyze each genus listed:
A. {Tolypella:} This is a well-established genus within the family Characeae. It is closely related to {Chara} and {Nitella}.
B. {Nitella:} This is another prominent and widely distributed genus belonging to the family Characeae.
C. {Nigella:} This is a genus of flowering plants (angiosperms) belonging to the family Ranunculaceae (the buttercup family). A famous species is {Nigella sativa} (black cumin). It is not an alga and does not belong to Characeae.
D. {Chara:} This is the type genus for the family Characeae and the order Charales. It is one of the most common and well-studied stoneworts.
Step 3: Final Answer:
The genera {Tolypella}, {Nitella}, and {Chara} are all members of the family Characeae. The genus {Nigella} is a flowering plant. Therefore, the correct combination is A, B, and D.