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The optimized structure for two isomers (4-aminocoumarin and 4-iminocoumarin ) and values of ∆S, ∆H. 

The optimized structure for two isomers (4-aminocoumarin and 4-iminocoumarin ) and values of ∆S, ∆H. 

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As there are no thermodynamic studies on the 4-aminocoumarin tautomerization molecule, this study was done for the first time in the world. 4-Aminocoumarin molecule stability was studied in the gaseous state and it has two isomers (imino form and amino form). The theoretical study and based on the results of density functions theory (DFT), imino po...

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... the Wittig reaction in N,N-diethylaniline was also conveniently applied for the synthesis of coumarins [15]. The thermodynamical properties of the title compounds in have been calculated using DFT (B3LYP) method. This calculation is valuable for providing insight into molecular parameters, entropy and the enthalpy. The aim of this work is to explore the molecular dynamics and the structural parameters that govern the chemical structure, and to compare predictions made from theoretical observations. 4-iminocoumarin and 4-aminocoumarin are two isomers as showed in Figure 1. The stability of these forms from the calculations of chemical quantum theory using the density functions theory (DFT) method indicated that the 4-iminocoumarin isomer is more stable than 4-aminocoumarin isomer (Table 1). This is evidenced by the value of the total energy calculated from each of them, that the energy of 4-iminocoumarin isomer is more than 4-aminocoumarin isomer by -0.032 a.u. or -19.951 Kcal.mol-1. Thermodynamic results showed that reaction (1) is spontaneous because of the positive value of the entropy change (∆S = +0.063 cal.mol -1 .K -1 ) and therefore 4-iminocoumarin isomer is more stable than 4- aminocoumarin isomer. The negative value of enthalpy change (∆H= -0.577 Kcal.mol -1 ) indicates that the reaction (1) is exothermic, while reaction (2) is not spontaneous and endothermic with values of ∆S and ∆H being -0.063 cal.mol -1 .K -1 and +0.577 Kcal.mol -1 , respectively. The stability of 4-iminocoumarin isomer is as shown in Figure (1). In solid state physics, a band gap, also called an energy gap, is an energy range in a solid where no electron states can exist. The gap energy generally refers to the energy difference (in electron volts) between the Low Unoccupied Molecular Orbital (LUMO) and the HOMO in insulators and semiconductors. This is equivalent to the energy required to free an outer shell electron from its orbit about the nucleus to become a mobile charge carrier, which is able to move freely within the solid material. These molecules were calculated in gas phase media and hence the energy gap is based an approximation. The band gap energy values of these two isomers, namely, 4-iminocoumarin and 4- aminocoumarin are 5.126 eV and 4.567 eV, respectively; this indicates that thin molecule in gas phase is insulators for the electrical conductivity. Figure 2 shows the HOMO and the LUMO electronic distributions for both of the isomers. Other observations account for absorption maximum wavelength (λ max ) of both isomers of 4-iminocoumarin and 4-aminocoumarin to be 451.37 nm and 402.15 nm, respectively. The two isomers have no center of symmetry at all symmetry element hence they are classified as the identity, E. Such molecule belongs to the C 1 point group. The dipole moments of 4-aminocoumarin and 4-iminocoumarin were also calculated and listed in Table 1 . The dipole moment for 4-aminocoumarin and 4-iminocoumarin were oriented ...

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