Abstract
A chemical tree is a tree in which no vertex has a degree greater than four. Two trees T
1
and T
2
of same orders p, are said to be consecutive trees with respect to the energy, if there exists no tree T of order p satisfying E(T
1
) < E(T) < E(T
2
). In this paper the author gives the consecutive chemical trees with respect to energies with edge independence number, denoted by t
p
(i) where i is the edge independence number and i = 2, 3 and p is the number of vertices. And give the table listing all the possible energy consecutive chemical trees t
p
(i), i = 2, 3, their polynomials and energies.