Pregunta: (b) Using the data provided below, calculate the Hückel orbital energy (in terms of α and β ) for the six π molecular orbitals of hexa-1,3,5-triene.π Molecular orbitals of hexa-1,3,5-triene\begin{tabular}{|ccccc|} \hline & Cs & E & σh \\ \hlinex2−y2,z2,xy & x,y,Rz & A′ & 1 & 1 \\ yz,xy & z,Rx,Ry & A′′ & 1 & −1 \\ \hline \end{tabular} \begin{tabular}{|ccccc|}

(b) Using the data provided below, calculate the Hückel orbital energy (in terms of $\alpha$ and $\beta$ ) for the six $\pi$ molecular orbitals of hexa-1,3,5-triene. $\pi$ Molecular orbitals of hexa-1,3,5-triene \begin{tabular}{|ccccc|} \hline & $C_s$ & $E$ & ${\sigma }_h$ \\ \hline$x^2-y^2,z^2,xy$ & $x,y,R_z$ & $A^{\prime }$ & 1 & 1 \\ $yz,xy$ & $z,R_x,R_y$ & $A^{\prime \prime }$ & 1 & $-1$ \\ \hline \end{tabular} \begin{tabular}{|ccccc|} \hline & $C_2$ & $E$ & $C_2$ \\ \hline$x^2-y^2,z^2,xy$ & $z,R_z$ & $A$ & 1 & 1 \\ $xz,yz$ & $x,y,R_x,R_y$ & $B$ & 1 & $-1$ \\ \hline \end{tabular} \begin{tabular}{|ccccccc|} \hline & $C_{2v}$ & & $E$ & $C_2$ & ${\sigma }_v$ & ${\sigma }_v$ \\ \hline$x^2-y^2,z^2$ & $z$ & $A_1$ & 1 & 1 & 1 & 1 \\ $xy$ & $R_z$ & $A_2$ & 1 & 1 & $-1$ & $-1$ \\ $xz$ & $R_y,x$ & $B_1$ & 1 & $-1$ & 1 & $-1$ \\ $yz$ & $R_x,y$ & $B_2$ & 1 & $-1$ & $-1$ & 1 \\ \hline \end{tabular}