Electron affinities of ethylene and six cyano-substituted ethylenes (cyanoe
thylene, 1,1-dicyanoethylene, cis-1,2-dicyanoethylene, trans-1,2-dicyanothy
lene, tricyanoethylene, and tetracyanoethylene) were determined using six d
ifferent density functional or hybrid Hartree-Fock/ density functional meth
ods. Equilibrium geometries and harmonic vibrational frequencies for each s
pecies were determined with each density functional method. Experimental el
ectron affinities exist for three of the six systems studied (cyanoethylene
, trans-1,2-dicyanoethylene, and tetracyanoethylene); for the three systems
, the absolute average EA errors for the different methods are 0.10 eV (BLY
P), 0.19 ev (BHLYP), 0.22 eV (B3LYP), 0.20 eV (BP86), 0.78 eV (B3P86), and
0.81 eV (LSDA). The electron affinities of gem-dicyanoethylene, cis-discyan
oethylene, and tricyanoethylene are not known from experiment but are predi
cted here to be 1.23 eV (gem-dicyanoethylene), 1.32 eV (cis-dicyanoethylene
), and 2.41 eV (tricyanoethylene). Contrary to earlier suggestions, tetracy
anoethylene is predicted to be planar, rather than twisted. Density functio
nal theory predicts that the B-2(1u) state of the ethylene anion lies lower
than the B-2(2g) state, which is reported by experimentalists as the (tran
sient) ground state, and lower than the (2)A(g) state. Coupled-cluster resu
lts indicate that the (2)A(g) state is lower than either the B-2(2g) or B-2
(1u) states. The energetic stabilization of cyano substitution on ethylene
results from the pi and pi* conjugation of multiple cyano groups. The HOMO-
LUMO gap in ethylene decreases with increasing cyano substitution, from 7.2
eV in C2H4 to 3.8 eV in C-2 (CN)(4), explaining the extreme difference bet
ween the electron affinities of ethylene (negative) and tetracyanoethylene
(similar to 3.0 eV).