topological descriptor Kier and Hall kappa molecular shape indices Descriptor that calculates Kier and Hall kappa molecular shape indices. kierValues Kier and Hall kappa molecular shape indices compare the molecular graph with minimal and maximal molecular graphs. First kappa shape index is given by n ( n - 1 ) 2 m 2 , second kappa shape index is given by ( n - 1 ) ( n - 2 ) 2 p 2 2 and third kappa shape index is given by ( n - 1 ) ( n - 3 ) 2 p 3 2 for odd n and ( n - 3 ) ( n - 2 ) 2 p 3 2 for enev n, where n denotes the number of atoms in the hydrogen suppressed graph, m is the number of bonds in the hydrogen suppressed graph. Also, let p2 denote the number of paths of length 2 and let p3 denote the number of paths of length 3. Other short names: KappaShapeIndices, Kier1, Kier2, Kier3.