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TABLE 9.4 (Table VI of the Reference)
Isomerization (Δ E iso ) and Activation 
E act ) Energies (in kJ/mol) for the 
Transformation of Acetylene to 
Vinylidene on Iron Clusters, Fe q n   ( n = 1 − 4 
and q = 0 − 1) Calculated with the PP86 
and the PLAP3 Functionals
Δ E iso
Δ E act
q
n
PP86
PLAP3
PP86
PLAP3
0
1
62.7
53.4
233.9
249.2
0
2
−12.5
225.9
258.7
0
3
13.0
−22.9
252.8
288.1
0
4
4.0
1.0 a
1
1
77.9
224.2
236.1
1
2
46.9
24.1 b
277.8
308.3
1
3
25.7
3.4 c
1
4
24.5
18.9 d
Source: . Reprinted. from. Chretien,. S.. et. al.,. J. Chem.
Phys .,.119(23),.December.5,.12279,.2003..With.
permission.
a. The.lower.state.of.Fe 4 (C 2 H 2 ).is.different.from.the.one.
with.the.PP86.
b. The.lower.state.of.Fe 2 (C 2 H 2 ) + .is.different.from.the.one.
with.the.PP86.
c. The.lower.state.of.Fe 3 (CCH 2 ) + .is.different.from.the.one.
with.the.PP86.
d. The.lower.state.of.Fe 4 (C 2 H 2 ) + .is.different.from.the.one.
with.the.PP86.
Analysis.of.these.results.indicates.that.with.respect.to.the.proposed.mechanism.
(Figure.9.33),.the.formation.of.a.cyclobutadiene.complex.is.unlikely,.the.cyclobuta-
diene.complexes.being.much.less.stable.than.the.complexes.containing.two.acetylene.
molecules. or. an. n -C 4 H 4 . ligand.. The. calculations. also. show. that. the. formation. of.
benzene.is.thermodynamically.possible.
The.above.studies.have.shed.light.on.several.aspects.of.the.reaction.mechanism,.
but.they.have.not.allowed.us.to.understand.the.reason.that.benzene.is.formed.on.Fe + .
and. Fe 4 + .but.not.on. Fe 2 + .or. Fe 3 + ..The.answer.does.not.appear.to.lie.in.the.thermodynam-
ics.of.the.systems,.so.we.must.await.a.future.study.that.will.look.deeply.at.the.kinetics.
9.6.2  o xidation of  co  With  c ationic  i ron  o xide  c luSterS
Over. the. last. years,. several. combined. experimental. and. theoretical. studies. on. the.
oxidation. of. CO. to. CO 2 . with. TM. oxide. clusters. were. realized. with. deMon2k,.
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