Carbon atoms in a ring system, if not involved in multiple bonding, can be chiral centers. These carbon atoms have four bonds—two to neighboring atoms in the ring and two to substituents on the ring. Chirality occurs when both the two substituents are different and the two “halves” of the ring emanating from the chiral center are different
A carbon atom involved in a multiple bond (double or triple bond) cannot be a chiral center since it has fewer than four groups bonded to it. All bonds about the chiral center must be single bonds to have four groups present
A carbon atom with two like groups bonded to it cannot be a chiral center since it does not have four different groups. CH3 and CH2 in a structural formula do not involve chiral centers due to the presence of two or more like hydrogen atoms