The Journal of Physical Chemistry A
Article
temperature hypergolic ignition of hydrocarbon was developed
by using the hydroboration reaction. 1-Octene was converted
into highly active alkylborane by a directional reaction to
participate in the combustion reaction. The Gibbs free energy of
the hydroboration was simulated to analyze the spontaneity of
the reaction by performing Gaussian calculations. Furthermore,
the change in bond lengths of 1-octene/BDMS after hydro-
boration and oxidation was analyzed through the calculations.
To demonstrate the changes in the reaction heat after
hydroboration, the release heat of the reaction of 1-octene/
BDMS was computed.
3.1.1. Calculation of Gibbs Free Energy of 1-Octene in the
Presence of BDMS. In this study, a directional reaction
converting inactive hydrocarbon fuel to active alkyl borane
was employed to allow the spontaneous participation of 1-
octene in the combustion reaction of hydroboration for the first
time. Hydroboration occurs between borane in BDMS and C
C in 1-octene, leading to the 1-octene-directed product
alkylborane as an anti-Markovnikov addition reaction. The B−
H bond in borane and the unsaturated bond in alkene could
form an organic boron compound, achieving the spontaneous
combustion of 1-octene at a low temperature. The spontaneity
of the process can be judged based on the reaction
thermodynamics (Gibbs free energy) at normal temperature.
The Gibbs free energy of the reaction involving pure 1-octene
and 1-octene with BDMS was calculated by using the Gaussian
simulation.30 The Gibbs free-energy difference (ΔG) of 1-
octene/BDMS is presented in Figure 3.
respectively. For trioctylborane, the C−H bond was found to
lengthen from 1.085 Å in pure 1-octene to 1.099 Å. This
indicates that the bond energy of the C−H bond decreases after
hydroboration. The bond length of the C−B bond is 1.579 Å,
significantly larger than that of the CC bond, indicating that
the bond energy of the C−B bond is significantly less than that of
the CC bond (discussed later). When oxygen was around
trioctylborane, the bond lengths of C−C and C−H bonds
increased slightly due to the electrostatic effect of oxygen. After
the oxidation of trioctylborane, the bond lengths of the B−C
bond and the C−H bond in (C8H17)2BOO(C8H17) remained
unchanged, about 1.580 and 1.10 Å, respectively. Furthermore,
the B−C bond of trioctylborane was oxidized to form B−O, O−
O, and O−C bonds, and their bond lengths changed from 1.579
to 1.307, 1.432, and 1.417 Å, respectively. The O−O bond in
(C8H17)2BOO(C8H17) was easy to break and generate radicals.
(See the next section.) When (C8H17)2BOO(C8H17) reacted
with (C8H17)3B to form (C8H17)2BO(C8H17), it was found that
the B−O bond in (C8H17)2BO(C8H17) lengthened by 0.055 Å
compared with that in (C8H17)2BOO(C8H17), and the bond
length of the O−C bond remained unchanged. (C8H17)2BO-
(C8H17) was more stable than (C8H17)2BOO(C8H17), except
for the B−O bond in (C8H17)2BO(C8H17).
Consequently, 1-octene could react with oxygen by the
strategy of a directional reaction at room temperature,
confirmed by the changes in the bond length of 1-octene.
Moreover, the changes in the bond lengths were related to the
stability of intermediates, which was conducive to the analysis of
the oxidation or combustion pathway.
The Gibbs free-energy difference for pure 1-octene during the
production of alkyl radicals was calculated. It is noteworthy that
the alkyl radicals could catch up with the combustion because
the C−H bond in the vinyl group could easily break compared
with other C−H bonds. However, the value of ΔG was
estimated to be 101.3 kcal/mol, which is above 0, and thus no
possible spontaneous generation of alkyl radicals at normal
temperature would occur. Therefore, the realization of the
spontaneous oxidation or combustion of pure 1-octene (ΔG <
0) in air at normal temperature was challenging. Figure 3
demonstrates that the Gibbs free-energy difference of the
reaction between 1-octene and BDMS was estimated to be
−39.6 kcal/mol and thereby below 0 and much less than that of
pure 1-octene during the production of alkyl radicals. Therefore,
this reaction could spontaneously generate trioctylborane by
hydroboration at normal temperature. The production of alkyl
radicals after the oxidation of trioctylborane could follow two
pathways. The Gibbs free-energy differences of both pathways
were estimated to be −28.4 kcal/mol (path I) and −69.8 kcal/
mol (path II), respectively. Both pathways were linked to the
reaction with oxygen. Therefore, the values of ΔG of paths I and
II were less than 0, showing the spontaneous production of alkyl
radicals regarded as the initial stage of combustion of 1-octene.
Compared with the formation of alkyl radicals using pure 1-
octene at normal temperature, 1-octene can spontaneously
produce alkyl radicals by the proposed directional reaction.
Moreover, the combustion reaction path of 1-octene also
changed from oxidation to hydroboration−oxidation in the
presence of BDMS due to the directional reaction.
3.1.3. Total Release Heat of 1-Octene and BDMS. The bond
energies before and after hydroboration and oxidation reactions
were calculated by using Gaussian simulation, and the results are
provided in Tables 1 and 2. The construction strategy of the
Table 1. Bond Energies before and after Hydroboration
product
(hydroboration)
reactant
bond types
CC (1-octene)
B−H (BDMS)
C−B
C−H
δ bond
π bond
63.9
bond energy
(kcal/mol)
103.0
93.8
99.7
96.6
Table 2. Bond Energies before and after Oxidation
product
(oxidation)
reactant
bond types
bond energy (kcal/mol)
B−C
99.7
OO
B−O
120.1
O−O
30.7
O−C
79.0
118.9
directional reaction of 1-octene hypergolic ignition at normal
temperature was based on hydroboration and oxidation. The
bond energies of reactants and products were calculated by using
Gaussian simulations. Furthermore, the release heat of the
reaction could be calculated by using the bond energy as follows
ΔH =
(reactant) −
(product)
∑
∑
E
(I)
E
3.1.2. Changes of Bond Lengths after Hydroboration and
Oxidation. The change of bond lengths of 1-octene/BDMS
after hydroboration and oxidation is shown in Figure 4. The
hydroboration of 1-octene and BDMS generated trioctylborane.
The values of the bond lengths of the CC bond and the B−H
bond in 1-octene and BDMS were 1.330 and 1.209 Å,
That is,
ΔHh = (ECC(π) + EB−H) − (EC−B + EC−H
ΔHo = (EB−C + EOO) − (EB−O + EO−O + EO−C
)
(II)
)
(III)
427
J. Phys. Chem. A 2021, 125, 423−434