The 1,3-dipolar cycloaddition of the aryl azide and some its of derivatives with cyclohex-
2-en-1-one was studied theoretically using different methods of Density Functional
Theory (DFT): B3LYP, B3PW91, MPW1PBE, MPW1PW91 and M062X with the basic
s
et 6-31g(d). Most of the used levels of theories provide closed results qualitatively, and
the results of the level of theory M062X / 6-31g (d) show that these reactions in the gas
state are spontaneously to form two products, but all the reactions are very slow and one of
the products P1 is more spontaneous and faster than the other P2 , and when these
reactions were studied with different solvents, it is found that solvents to have no actual
effects on the rates of these reactions.
The results of the level of theory M062X / 6-31g (d) indicate that the Gibbs free energy of
the reactions for the substitutes of Aryl increases in negative values in order of 2,6-Cl, -4
NO2, 4-OCH3, 3-OCH3, 3-Cl, 2 -Cl, H-; i.e., the substitutes do not have a significant
effect on the spontaneity of reactions compared to the substitute-H. It was observed that
TS-P1 transition state energy for all substitutes was lower than TS-P2 transition state
energy.
The 1,3-dipolar cycloaddition of the aryl azide and some its of derivatives with cinnamic
acid was studied theoretically using different methods of Density Functional Theory
(DFT): B3LYP, B3PW91, MPW1PBE, MPW1PW91 and M062X with the basic set 6-
3
1g(d). Most of the used levels of theories provide closed results qualitatively, and the
results of the level of theory M062X / 6-31g (d) show that these reactions in the gas state
carried out spontaneously to form several stable energy products; the products P1 and P2
are most stable, but all the reactions are very slow and one of the products P1 is more
spontaneous than P2 , but the formation reaction of P2 is faster.
On the other hand, when these reactions were studied with different solvents, it is found
that solvents to have no actual effects on the rates of these reactions.