Without drawing the MOs, state whether the 7r-molecular orbital 6 in 1,3,5,7,9-decapentaene (a 10-carbon conjugated alkene) is

Question:

Without drawing the MOs, state whether the 7r-molecular orbital π6 in 1,3,5,7,9-decapentaene (a 10-carbon conjugated alkene) is symmetric or anti symmetric with respect to the reference plane; is bonding or anti bonding; is a frontier MO; and. if so, is a HOMO or a LUMO.