Thermochemistry of Aluminum Species for Combustion
Modeling from Ab Initio Molecular Orbital Calculations
MARK T. SWIHART
Department of Chemical Engineering, University at Buffalo (SUNY), Buffalo, NY 14260-4200, USA
and
LAURENT CATOIRE
Laboratoire de Combustion et Syste `mes Re ´actifs (LCSR), CNRS, and University of Orleans, 1C, av. de la
Recherche Scientifique, 45071 Orleans Cedex 2, France
High accuracy ab initio methods for computational thermochemistry have been applied to aluminum
compounds expected to be present during combustion of aluminum particles. The computed enthalpies of
formation at 298.15 K agree well with experimental values from the literature for AlCl, AlCl
3
, AlO, AlOAl,
linear OAlO, planar Al
2
O
2
, AlOH, AlH, and AlN. The agreement is fair for AlCl
2
. Major revisions to the
recommended thermochemistry must be considered for OAlCl, OAlH, OAlOH, and AlC. This is not surprising
since the thermodynamic data for OAlCl, OAlH, OAlOH, and AlC are given in the literature as rough
estimates. Calculated thermochemical data are also presented for several species never studied experimentally,
including AlH
2
, AlH
3
, AlOO, cyclic-AlO
2
, linear AlOAlO, AlHCl, AlHCl
2
, and others. Based on the
performance of the CBS-Q and G2 methods observed in other systems, the calculated enthalpies of formation
would be expected to be accurate to within 1 to 2 kcal mol
-1
. However, relatively large differences between
the results from the CBS-Q and G2 methods for the aluminum oxides indicate that the uncertainties are slightly
larger for these compounds. The thermochemistry proposed here is shown to predict substantially different
equilibrium composition from the thermochemistry previously available in the literature. © 2000 by The
Combustion Institute
INTRODUCTION
The addition of aluminum particles to solid
propellant is principally used to increase motor-
specific impulse. This is due to the high heat of
combustion of Al with various oxidizers that are
encountered in practical applications, including
CO
2
,H
2
O, and HCl. Numerous studies of alu-
minum combustion have been published. Most
of these studies have considered the ignition
and global combustion of single particles, pow-
ders, or wires in various controlled environ-
ments [1–7]. Much of this work was reviewed by
Price [8].
The first numerical models of the combustion
of aluminum particles neglected the finite rate
chemistry of this combustion. The chemical
reaction rates were assumed to be infinitely
large [9 –13]. However, more recent analyses of
the process have provided models that include
finite chemical reaction rates [14, 15]. The com-
bustion process involved is complicated and
therefore not easily modeled. Since aluminum
burns as a vapor, the first step of this process
involves gas-phase reactions between Al and the
oxidizers, or between aluminum and reaction
intermediates or reaction products. Reactions
are also expected to occur on the surface of the
aluminum particles, and this heterogeneous
chemistry must also be included in a complete
model. Under typical conditions, most of the
reactions in the gas phase are in chemical
equilibrium. For these conditions, the accuracy
of the predictions of the gas-phase composition
and temperature is determined by the accuracy
of the thermochemical data for the gas-phase
species. Existing thermochemical data for sev-
eral species are highly uncertain, as underlined
by Fontijn [16]. For some other species ex-
pected to be present, no thermochemical data
are available in the literature. As a conse-
quence, some of these species have never been
introduced into kinetic models. Such species
must be considered in detailed kinetic models
from which reduced models are to be derived
for engineering purposes. *Corresponding author. E-mail: swihart@eng.buffalo.edu
COMBUSTION AND FLAME 121:210 –222 (2000)
0010-2180/00/$–see front matter © 2000 by The Combustion Institute
PII S0010-2180(99)00128-5 Published by Elsevier Science Inc.