“…Many theoretical works have also been performed to investigate the electronic spectra of these molecules. [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] Ab initio methods such as the symmetry adapted cluster configuration interaction ͑SAC-CI͒, 16 complete active space perturbation theory to second order ͑CASPT2͒, 21,22 multireference Moller-Plesset ͑MRMP͒, 23 and multireference configuration interaction 24,25 ͑MRCI͒ were utilized to calculate the vertical excitation energies of these molecules. In the recent years, the low-lying excited states of trans-1,3-butadiene were intensively examined, in particular, the 2 1 A g and 1 1 B u excited states by MRCI with singles and doubles ͑MR-CISD͒ and multireference averaged quadratic coupled cluster ͑MR-AQCC͒ methods 30 and the 2 1 A g excited state by using a variety of ab initio methods, complete active space selfconsistent field ͑CASSCF͒, CASPT2, multireference singles and doubles configuration interaction ͑MRSDCI͒, and quasidegenerate variational perturbation theory ͑QDVPT͒.…”