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Molecular modelling - opportunities for soil research
Dedicated to Univ. Prof Dipl.-Ing. Dr. Dr. h.c. mult. Winfried E. H Blum on the occasion o[his 6(Jh birthday
M. H. Gerzabek, A. J. A. Aquino, G. Haberhauer, D. Tunega and H. Lischka
Molekülmodellierung - Perspektiven für die Bodenforschung
Herrn O. Univ. Prof DipL-Ing. Dr. Dr. h.c. multi Winfried E H Blumanläßlich seines 60. Geburtstages gewidmet
1. Introduction
Soil has a large number of functions wirhin the biosphere.
Besides of being the basis for crop production, soil acts as
one ofthe main sinks for atrnospheric CO2 and various pol
lutants. Especially the latter fact is ofincreasing importance.
The soil cover in many cases is the only effective filter and
buffer against pollutants entering the food chain. The use
of agrochemieals, the application of organic residues con
taining different organic and inorganic pollutants to agri
culturalland and immisions ofsubstances originating from
combustion processes and regular or accidental releases
from nuclear facilities led to a large variety of pollutants
already being immobilised in the soil matrix. The main
classes of substances of concern are heavy metals, radionu
clides, pesticides, hydrocarbons, PAH's, PCB's, dioxins and
- more recently under discussion - endocrine disrupters
(e.g. GÜLDEN et al., 1997). Especially the number of rele
vant organic compounds is increasing rapidly and data on
the behaviour and fate of these substances are urgently
needed. Thus, the questions we ask in soil science are get
ting even more complex than a few decades aga, when soil
productivity was the main matter of concern. The largest
efforr in this context is needed to investigate the specific
adsorption and fixation processes for a given compound,which comprises the most important basis for the estimation of its environmental behaviour. Laboratory andlysimeter studies (FÜHR et al., 1998; GERZABEK et al., 1998)
are the most important methods in this connection. Any
how, these studies are quite time consuming and may not
be readily available for a firstquick risk assessment of a new
compound being just in development or recently discovered in the environment. Theoretical studies, thus, could
be useful to assist the risk assessment and to help under
standing the processes of interactions with the soil matrix
on a molecular level.
Computational chemistry (Ce) is a quite yaung seience
and its potential is intimately connected with the capabili
ties of computer hard- and software (see chapter 2). The
rapid increase in computational power available enables
ZusammenfassungDie Computerchemie (Ce) ist eine relativ junge Wissenschaft, die sich rasch entwickelt. Dies hängt auch mit der
zunehmenden Leistungsfähigkeit von pes und Workstations zusammen. Derzeit wird die Computerchemie selten in
der bodenkundlichen Forschung verwendet, obwohl zahlreiche Anwendungsgebiete - insbesondere auf dem Gebiet
der Erforschung des Verhaltens von Umweltschadstoffen im Boden - vorauszusehen wären. Neue Techniken, wie bei
spielsweise die ONIOM-Methode ermöglichen in diesem Zusammenhang relativ genaue Berechnungen von Inter
aktionen auch innerhalb großer Systeme mit bis zu 100 Atomen. Ein weiteres interessantes Forschungsfeld ist die
Untersuchung der hypothetischen Struktur von Huminstoffmodellen und von Interaktionen mit verschiedenen
Schadstoffen. In der vorliegenden Arbeit werden Beispiele für Anwendungen der Computerchemie in der Bodenfor
schung präsentiert: (i) die Interaktion von organischen Säuren mit Aluminium, (ii) die hypothetische Struktur von
Huminsroffmodellen und deren Wechselwirkung mit Pflanzenschutzmitteln und (iii) die Anwendung der ONIOM
Methode für das Studium der Adsorptionsstellen an Tonmineraloberflächen.
Schlagworte: Aluminium, Bodenforschung, Computerchemie. Humistoffe, Tonminerale.
Die Bodenkultur 133 52 (2) 2001
M. H. Gerzabek, A.]. A.Aquino, G. Haberhauer, D. Tunega and H. Lischka
SummaryCornputational chemistry (Ce) is a young science which develops rapidly. This is intirnately connected with the
increase in computer power and the recent rapid improvement ofPCs and work stations. Although at present seldomused, numerous applications in soil science, especially in pollution research, can be envisaged. New techniques as e.g.rhe ONIOM method make it possible to investigate interactions within quite large systems of up to 100 atoms withhigh accuracy. Another inreresting field for CC are studies of the hyporhetical structure of humic substance models.These can be used for investigations of interactions with various pollutants (e.g, "bound residues"). In this paper we
examplify quire different applications of CC in soil research: (i) the interaction of organic acids with aluminium,(ii) the hypotherical structure of humic substances and their interactions with pesticides and (iii) the use of the
ONIOM technique ro study adsorption sites on day minerals.
Key words: aluminium, day minerals, computational chemistry, soil research, humic substances.
more and more accurate calculations and an application toa wider range of systems. Since even personal computers andsmall workstations nowadays allow to perform modellingcalculations if rhe described systems are not too large, com
putational chemistry has entered more applied sciences likesoil science. Anyhow, these theoretical methods are seldom
used in soil science up to now and applications are restrieted to a few topics. The potential of CC has been alreadyshown e.g. for studies on Al-organic acid complexes(AQUINO et al., 2000; TUNEGA et al. 2000), for investigations of clay mineral interlayers and their surface geochemistry (CHANG et al., 1998; 1999, SPOSITO et al., 1999) andmodelling smaller systems of humic substances (SCHULTENand SCHNITZER, 1997). Thus, CC is and will be used to
investigate soil processesin the micro-scale in the future.The present paper atrernpts (i) to review some ofthe work
already been done in soil science with the tool CC and (ii)to give examples ofrecent studies highlighting the potentialof CC rnethods for future research.
2. Recent developments in computational ehemistry
Computational Chemistry is a rapidly growing section ofTheoretica1 Chemistry wirh emphasis on application-oriented molecular problems being solved on the computer.The fundamental equation determining the properties ofatornic and molecular systems is the Schrödinger equation,Its analytic solution is only possible for a few simple modelcases. Based on the rapid progress in computer technology,very powerful numerical methods and respecrive computerprograms have been developed for the quantum chemicalcomputation of atoms and molecules. These methods have
been applied very successfully in practically all fields ofchemistry. Several dasses of cornputational procedures areavailable ranging from ab initio and OFT (density functional theory) level via semi-empirical methods to simple
force-fields and interatornic potentials. In these series ofmethods the firsr two ones are computational most expensive. However, they give on rhe average the most reliableresults. Serni-empirical methods are computationally lessexpensive, but require well-tuned parameter sets for suc
cessful application. Finally, force-field and interatomic
potential methods are by far the cheapest ones. They lackany quantum chemical formalism and rely heavily on the
empirical adjustment of parameters. From the large nurnber ofrnethods and computational techniques only a fewofthem, which are directly relevant to our work, will be discussed here, For more information and for an overview of
typical applications see e.g. ]ENSEN (1999).Sufficient flexibility and reliability of the computational
methods are of particular importance in soil sciences, sincewe have to deal with various types of interactions and ehe
mical bonding such as intermolecular forces between soluteand solvent, adsorption processes on surfaces and chemicalbonds occurring in the inorganic and organic constituentsof the soil. Besides this great variability in the interactions,
it is also the size ofthe individual subsystems, which makesthe ca1culations very time-consuming. For example, the
adsorption process on the clay surface requires either thecomputation of a larger cluster cut out from the crystalstructure or the treatment as a periodic system with a largeunit cell including the adsorbed species. The humic substances are polymers with a very irregular structure andtherefore difficult to describe.
In the present contribution we concentrate on OFT
methods. They belong - as has been stated above - to the
Die Bodenkultur 134 52 (2) 2001
Molecular modelling - oppoftunities für soil research
most "expensive" ones, but combine the required flexibility
and reliability with cornputational efficiency. Most of the
calculations described in this work have been set up as
benchmark investigations which shall guide future investi
gations on even larger and more complex systems.
One of the most crucial practical bottlenecks in an ab ini
tio or DFT calculation besides computer time is the huge
amount ofdata produced. This problem has been overcome
by the introduction of "direct" methods where storage of
these data is avoided by recomputation every time they are
needed. This teehnique is available in all major quantum
chemical program packages (e.g, GAUSSIAN98, 1998 or
TURBOMOLE (AHLRICHS et al., 1989; ARNIM, 1998)).Several additional techniques have been developed wirhinab initio and OFT approaches, which are especially dedi
cated to the reduction of the effort required for the compu
tation of larger molecules. One of those is the RI method
(VATRAS et al., 1993; EICHKORN et al., 1995) in which the
calculation of the most time consuming rwo-electron inte
grals is substantially reduced bythe introduction ofan auxi
liary basis set. Using thesemcthods, DFT calculations on
fullerenes C60 up to Cso and inorganie clusters such as[Cd32Se14(SeH)36(PH3)4] have been reported (AHLRICHS
et al.. , 1998). Another alternative for the calculation oflarge
molecules is the ONIOM method (DAPPRlCH et al., 1999).The basic idea of this method is the partitioning of the
entire system in rwo or more layers, where the important
part (inner layer) is treated at a higher level of theory and
the remaining layers at lower levels. In total, calculation of
moleeules with 100 atoms or more are feasible nowadays.
Many of these calculations can be carried out even on stan
dard pes under Linux, which provides a very cost-effective
alternative to high-end workstations or central computers.
Solvati 0 n effects play a crucial role in soil processes. The
inclusion of solvation poses very challenging problems for
quantum chemical calculations. One eonceptually simple
approach is the embedding of the solute moleeule into a
cluster ofsolvent moleeules and to treat the whole system as
a supermoleeule. However, iE the solute is polar or even
charged, strang and far-reaching interactions berween the
solute and solvent moleeules will occur, In order to accom
modate for these extended interactions, very large clusters
of solvent moleeules would have to be taken into account,
which increases the cost for the cornputation drastically.
Therefore, continuum solvation models have been deve
loped, which provide a good and cast-effective alternative.
In this approach the solute (eventually together with a first
solvation sphere) is embedded into a polarisable dielec-
tricum. Early continuum models (BORN, 1920; ONSAGER,
1936; KIRKWOOD, 1935) were oflimited value for quanti
tative predictions due to the intrinsic sirnplicity of these
rnodels, In the pioneering work of MIERTUS et al. (1981)the polarisable continuum model (peM) was developed
which is now together with the SCRF (self-consistent reac
tion field) method the basis for most of the recent compu
ter implementations (TOMASI and PERSICO, 1994). In the
peM model the solute moleeule is placed into a cavity cre
ated wirhin the continuum. This cavity is constructed bymeans of overlapping spheres centered on the atoms of the
solute, which allows a realistic descri ption of the shape of
the moleeule. The electrostatic potential of the solvent is
represented as point charges at the surface ofthe cavity. The
quanrum chemieal part of the calculation includes thenuclear charges and electrons ofthe solute moleeule and the
point charges describing the continuum. The mutual pola
rization berween solute and solvent is taken into account bythe aforementioned SCRF method.
3. Examples for applications of computationalchemistry in soil science
3.1. Interaction of aluminium with organie acidsa theoretical study
The aluminium cation plays an important role in soil ehe
mistry; Free farms (e.g. as hexaaquo complex) present toxi
cological risks for organisms and especially agricultural
crops and affect the quality of natural sources of water.
Organie acids occurring in the soil have strang influence on
the chemical activity of aluminium. Formation of various
stable complexes can deerease negative factors of the occur
rence of aluminium in soil. Thus, it is important to under
stand the related chemical processes in more detail in order
to develop better strategies for the deactivation of free alu
minium. The formation of complexes between aluminium
and organie acids has been investigated extensively, mainlybased on studies of dissolution processes of aluminium
containing minerals (see e.g. PALMER and BELL, 1994; FEIN
and HESTRlN, 1994). The analysis of these measurernents
in terms of stabilities of individual compounds is compli
cared by the fact that a large number of coupled chemical
equilibria oeeur in solution, Their resolution yields good
global information on different groups of complexes but
does not give details about the structures involved. Quan
tum chemical methods can be used to obtain such detailed
Die Bodenkultur 135 52 (2) 2001
M. H. Gerzabek, A. J.A. Aquino, G. Haberhauer, D. Tunegaand H. Lischka
'"
Figure 1: OprimizedBLYP/SVP+sp geometriesfor waterassolvent-a) monodenrate-[Al(H20)sAc]2+b) bidemate-[Al(H20)4Ac]2+c) bidencare-Alac,d) bidenrate-[AlOx3]3.
Abbildung I: Oprimierre BLYF/SVP+sp Geometrien für Wasser alsLösungsmittel-a) monodenrares [Al(H20)sAc]2+b) bidenrares [Al(H20)4Ac]2+c) bidenratesAlAc3d) bidentates [AlOx3]3-
J''\."",
in absolute values. Asexpected, the solvent effect is proportional to the total charge ofthe system. For example, the solvent energy of the hexaaquo complex [A1(H20)6P + is-467.5 kcal/mol while for the [AIAc3]O it is only -4.1kcal/mol. In general, the size of the solvation energy of thecomplexes berween aluminium and the organic acids willdepend heavily on the amount of charge cornpensarionwhich takes placewhen the cornplex is formed. This strongvariation in solvation energies ofthe individual species has,ofcourse, also a significant influence on the overall solventeffect for the reactions given by Eq. (1).
Comparing .1Hr(l) values in Table 1 it is found that themost stable complexes in eachset (acetate or oxalate)are thosewhere the water molecules in the hexaaquo complex are fullyreplaced by the organic acid ligands. The oxalate complexesare in general more stable than the acetate complexes.Whilebidenrate acerate complexesare lesssrable than monodenrate
informations. Such investigations have, e.g. been carriedout on several complexes between aluminium and organicacids by KUBICKI at al. (1996, 1999).
The aluminium cation has an amphoteric character. Thismeans that the pH of the solution will have a strong influence on the question which complexes will be formed. Wefocused on complexes where aluminium is sixfold coordinated which is characteristic for a pH below 7. At such conditions organic acids exist in aqueous solution in dissociared form. Thus, aluminium can form complexes in aqueoussolution with fuUy or partially deprotonated organic acids,hydroxyl anions and with water molecules. A typical complex structure can be characterised by the formulaA1(H20)p(OH)qLr where L, stands for a deprotonated acidas ligand. In our theoretical investigations (TUNEGA et al.,2000; AQUINO et al., 2000) we restricted ourselves to complexes without OH- group in the A13+ coordination sphere.The studied species were complexes with the acetate andoxalate anions (L =Ac' and Ox2-) as ligands. The bondinglinks from these ligands to aluminium are the oxygen atomsfrom the carboxylate groups. Bonding can occur in monodentate and bidenrate form (seeexamples given in Fig. 1aand 1b). Since A13+ possesses a sixfold coordination sphere,complexes with several ligands are possible. Moreover, inthe case ofcomplexes with two acerare or two oxalate anionscis- and trans- isomers can be formed. The calculations havebeen carried out at the OFT levelusing the PCM model forthe inclusion ofsolvent effects.The quantum-chemical calcularions were performed with the GAUSSIAN98 package.The BLYP density functional rnethod and a split valencepolarization (SVP) basis set augmented with diffuse sand pfunctions on the oxygen and carbon atoms (SVP+sp) wereused in all calculations. For the relative dielectric constant ethe value of78.54 ofwater was chosen. All thermodynamicdata have been evaluated for a temperatureT = 298.15 K.For more information on technical details seeTUNEGA et al.(2000) and AQUINO et al. (2000).
The following complexation reactions have been studied:
[A1(H20)6]3+ (1) + p V· (1) ~ [A1(H20)6.p*qLP-r*p (1) +p*q H20 (1) (1)
where pis the number ofligands (p =1, 2, 3) and q = 1 or 2for mono- and bidentate ligands, respectively. In Table 1solvation energies Eso1v' reaction enthalpies OHr and Gibbsfree reaction energies OGr are given according to Eq. 1 forthe rnost stable aluminium-acetate and aluminium-oxalatecomplexes. One can see that solvation energies arevery large
Die Bodenkultur 136 52 (2) 2001
Molecular modelling - opportunities for soil research
137
Table 1: Calculared solvent energies, reaction enrhalpies and reactionGibbs free energies (Eq.l) ar the B3LYP/SVP+Sp level for aluminium-acerate and -oxalate complexes, respecrively (Allenergies are in kcal/mol)
Tabelle1: BerechneteLösungsenergien, Reaktionsenthalpien und Gibbs' sehe Reaktionsenergien (GI. 1) berechnet auf dem B3LYP/SVP+Sp Niveau für Aluminium-Azetat bzw, AluminiumOxalat Komplexe (alle Energien in kcal/mol)
Complex Eso1v ilH/1) ilGr (I)
m-[A1(H2O)5Ae]2+ -198.2 5.2 3.5b-[A1(HP)4Ac]2+ -204.1 15.9 8.1m-[A1(Hp)4Ac2]+-cis -59.7 -15.3 -11.9b-[A1(HP)0S]+-cis -59.9 6.8 -11.7b-[A1Ac3]° -4.1 -4.9 -28.2m-[A1(H2O)50x]+ -100.9 9.8 8.7b-[A1(HP)40x]+ -107.5 5.6 -6.3b-[A1(H2O)20x2]- -80.6 -9.4 -31.7b-[A10x3]3- -335.0 -20.1 -47.4
ones according to ÖHr' for oxalate complexes the situation isreversed (cf. the pair ofthe first/second and the sixth/seventhrows in Table 1). The reason for this behaviour comes fromthe fact that in the acetäte case only one carboxylate group isinvolved in the bidentare binding whereas it is two different
carboxylate groups in case of oxalate. Characteristic differences between ÖHr and ÖGr are observed for mono- andbidentate complexes. Reactions with bidentate structures aresignificantlyenhanced at the ÖGr level. In case of acerate ligands the formation of'bidentare complexes becomes almostequivalent to that of the monodentate species. For oxalate
complexes the difference berween the formation of monoand bidenrare structures becomes even more favourable for
the latter.The differences berween ÖHr and LlGr are relatively small for the formation of monodentate species (e.g. 1.7kcal/mol for monodenrare [Al(HzO)SAc]2+) but much larger for bidentate cases (e.g. 7.8 kcal/mol for bidentare[Al(HzO)4Ac]z+). A detailed analysisperformed by AQUINOet al. (2000) showed that the reason for this behaviour is the
increasein entropy because ofthe additional number ofwatermoleculesreleased from the aluminium coordination sphereafter substitution by a bidentate ligand as compared to amonodenrate one. Therefore, itwas concluded thar reactionsfor monodenrare complexes are energy-driven, whereas thosefor the bidentare complexes are entropy-driven.
Experimenrally derermirred ÖG r values were -3.8 kcal/mol and -6.2 kcal/ mol for the AlAc2+ and AlAc2+complexes
(PALMER and BELL, 1994) and -15.5, -18.2 and -19.6 kcal/mol for the AlOx+, AlOxz- and AlOx3
3- complexes (FEIN
and HESTRIN, 1994). In both experimental investigations
Die Bodenkultur
only global chemical reactions of the type Al3+ + mLn- -7
AlLm
3-m*n were taken as basis and no details of the coordi
nation sphere ofAl3+ such as the number ofwater molecules
or other ligands were specified, Moreover, it is not possibleto distinguish mono- and bidentate structures from the
experimental data, In view ofthis situation we have foundrelatively good agreement with experimental values and ourpredictions of the most srable complexes agrees with experimental observations.
3.2. Hypothetical structures of humic substances andmodelling of interactions of soil organic matterwith pesticides
Humic substances as a very stable and reactive patt of soil
organic matter playa crucial role in rhe fate and behaviour oforganic pollurants and heavy metals in the environment.Adsorption of organic contaminants or heavy metals ontosoil organic matter has the potential to be a major controllingfacror in their bioavailability, Models for estimating theamount and stability of sorbed contaminants based simplyon the fraction of organic carbon in a soil can oversimplifythe process ofsorption in the environment. Itwasshown that
origin, structural characteristic and/or inreraction ofHS withday minerals affect the sorption behaviour. In order to help
to understand sorption processes, several models of soilorganic matter components, which are possible substrates for
sorption, have been developed on a molecular level.Molecular modelling of humic substances is restricted
due to the availabiliry of strucrural information. Experimental models, based on breaking down humic substances
through pyrolysis (SCHNITZER and SCHULTEN, 1992) orthermochemolysis (DELRio and HATCHER, 19%) and the
derermination of the formed components were generated.The analysed fragments are used to rebuild the overall struc
ture. However, both side reactions during the pyrolysisprocess and the lack ofinformation how these fragments arelinked together Iimit the use of this information to createtwo dimensional models of humics. Infrared specrroscopyand NMR spectroscopy supplies information on an approximate distribution of functional groups wirhin humicacids. Togerher with these IR, NMR, UV data, mass specrrometry results using soft ionisation techniques, likeMALDI-TOF MS or ESI-MS, demonstrate the complexityofhumics (HABERHAUER et al., 1999; BROWN and RICE,2000; SOLOULKl et al., 1999). Thus, humic substances,which can be assumed to be complex mixtures of corn-
52 (2) 2001
M. H. Gerzabek, A.]. A. Aquino, G. Haberhauer, D. Tunega and H. Lischka
pounds with no prevailing single molecule, present a challenging task for rnodelling,
models have in eommon that few scientific structural proveexists for any of the proposed constitutions.
2-dimensional modelsIn order to visualise interactions ofhumic substances (HS)with other moleeules two dimensional models were developed. Such representations were constructed using theexisting limited structural information. So, it is alwaysimportant to keep in mind that such models are only anapproximation to illustrare selected processes and thar thesemodels can not reflect the whole complex properties ofhumie acids, Such two dimensional models were proposedby many authors and many of them are now used in textbooks (e.g. SCHACHTSCHABEL et al., 1989). Two dimensional models can be used to visualise and graphicallydescribe interactions berween organie matter and pollutants or day minerals. A possible exarnple ofsuch a modelis shown in figure 1. According to average struetural datathis model is composed of aromatic, lipophilic alipharic,polar and carboxylic moieties, Several two dimensionalmodels were published in the last ten years. Some consist ofmaeromolecules (SCHNITZER and SCHULTEN, 1992) orpolymerizable units (DAVIS et al., 1997) while other modelspropose that humic acids are erude mixtures of low molecular weight eompounds (STRUMPF, 1998). However, all
3-dimensional burnie substance modelsA two dimensional presentarion ofstructures does not allowto understand and visualise many types of interactionsberween moleeules. Three dimensional representations arenecessary to describe complex reactions in biological systems, Therefore, a demand of suitable three dimensionalhumic substance models exists in order to describe severaltypes ofadsorption processes. In case ofinteractions of daymaterials and organic compounds sorne recently publishedpapers demoristrate the suitability of computational ehemistry methods (SPOSITO et al., 1999; PARK et al., 1997;CHANG et al., 1997). Molecular dynamic methods wereemployed to examine sorption behaviour of organic compounds in day interfacial structures (TEPPEN et al., 1998).The availability of day mineral structures and moleeularstructures of the investigated organic compounds enablescomparison of the theoretical data to experimental results.The fast development of eomputational chemistry andunderstanding of structural requirements allow the construction and modelling ofthree dimensional models out oftwo dimensional concepts (Figure 2). Three dimensionalconstruction ofhumic substance models using several types
'0
c polarandloraromatic sugarmoiety.. Ci
" c
..)
1'1
" .c
C D......" ... ,
o
o-,
arnlnoacld -moiety
,·0
o
Iipophilic"
<,.....
', ...•,
Figure 2: Two (left) and three (righr) dimensional graphical representation ofa hyphotetical humic substance modelAbbildung 2: Zwei (linksl- und dreidimensionale(rechrs) graphische Darstellung eines hypothetischen Huminstoffmodells
Die Bodenkultur 138 52 (2) 2001
Molecular modelling - opportunities for soil research
of available molecular modelling software packages andsubsequent minimisation ofthe structures using force fieldor semi empirical methods will generate stable conformations (seeFigure 2 and SCHULTEN and SCHNITZER, 1995).SCHNITZER and SCHULTEN (1997) used molecular modelling programs to build a humic substance model using theirrwo dimensional concept. SEIN et al. (1999) investigatedthe conformational flexibility of their humic substancebuilding block. Three dimensional structures of HS wereused to describe (SCHULTEN, 1996; SCHULTEN, 1999;SCHULTEN and LEINWEBER, 2000) and illustrate (VONWANDRUSZKA, 1998) the interaction with xenobiotic compounds. Strong H-bondingwas predicted to play an important role wirhin the formation ofhumics and organic cornpounds complexes (KUBICKI and APITZ, 1999).
Even if the use ofcornpurational chemistry in that respectseems to be very attractive there are several limitationsregarding this humic substance representation approach.First, one of the most serious limitations for the applicationand relation of such studies ro environmental processes isthe lack of structural support for the chosen rwo dimensional models. Second, it is questionable if folding of suchmacromolecules (In many casesminimisation was used for2 D to 3D transformation) will give any realisric results.Even if modern compurational methods are used the modelling of folding of weIl characrerised macromoleculessuch as proteins (SOCCI et al., 1998) is resniered by manyparameters. Third, the conformational space of flexiblemacromolecules allows a huge number ofdifferent conformations. Identification of the environmental importantconformations requires at least some basic structural data(LEACH, 1996). Additionally, the used force fields are oftennot optimised to study organie - cation or organic mineralbonding. Both boding types are of great importance in soilenvironments, Thus, the adaptation and development offorce fields for such interactions should be considered.
Macromolecular models were used for the description ofsingle interactions (e.g. H-bonding) in a defined environment (= conformation/structure ofhumics), but due ro thelack ofconformational and structural data no direct relarionofthe output to experimental results can be gained. In orderto circumvent these problems other approaches were chosen ro describe the interaction ofhumic substance moietiesto organic compounds.
Reductive approaches 0/thedescription 0/humicsubstancesTherefore, one of the first approaches to model humic substances were based on meso-size models. These models con-
sist of hydrophilie and hydrophobie parts and can be usedto describe the amphoteric and surface active behaviour ofhumics. In comparison to molecular models these so calledsecondary structural models ofhumic materials (WERSHAWet al., 1986) are directly developed from experimentalresults and used to explain certain behaviour of humics.Therefore, less arbitrary assumptions are necessary to createthem. Such models can be utilised to describe the built upand the formation of humics in soil and aqueous environments. They have brought an important input in our nowadays understanding ofhumic substances (CONTE and PICCOLO, 1999; WERSHAW, 1993). Another approach applyingcomputer modelling to structural problems ofhumics wirhout describing the complete molecular structure was chosenby BIRKETT et al. (1997). The authors commenced rheirmodelling defining humics bya set ofgroups and not on anatornic level. Humic substances are represented by rhe molecular volume, amount ofcarboxylic, aromatic and severalother groups. The average group information can be directly obtained from experiments. Information on how thesegroups are connected and how humic molecules are constiruted (data which are not total available) are not required.Therefore, in comparison to the molecular strucrural models no additional assumptions have to be made.
However, borh above mentioned conceptional approaches on a meso-scale do not allow ro model or describe interactions between small organic molecules such as pesticidesor various organic pollutants and humic substances on anatornic level. Models, which consist of functional moietiesof humic substances only, can be used to describe sorptionserengeh of different sorptive sites (KUBICKI and APITZ,1999). Such models rely on experimental structural information. Additionally, the small size of the models - theycontain mainly less then 100 atoms - allows the use of preeise quantum chemical methods. Thermodynamic data canbe obtained using such methods. These theoretical resultscould be related to experimental data (TUNEGA et al.,2000). The application of self-consistent field methodsmimics solvation or hydrophobie environments (KUBICKIet al., 1999). Thus both single interactions in hydrared andnon hydrared environments can be examined. However,since sorption oforganic compounds in soil is governed byseveral different binding sites, a number of possible interaction types must be considered. Quantum chemical calculations were used for rough estimations of possible inreraction energies of a herbieide with mineral or soil organicmatter moieties (HABERHAUER et al., 2000a). The systemsinvestigated consist ofeither a mineral moiery, which can be
Die Bodenkultur 139 52 (2) 2001
M. H. Gerzabek, A.]. A. Aquino, G. Haberhauer, D. Tunega and H. Lischka
140
regarded as a model for a mineral surface edge, or/and anorganic molecule representing a structural rnoiery of soilorganic matter and rhe herbicide. The calcularions pronounced the importance of several types of polar interac
tions and are in agreement with the experimental results.Anorher application of computational chemistry to soil
sorption processes is the relation of rhe experimentallydetermined adsorption directly to the structures of thecompounds investigated. Struetural parameters, such assize,polarity or/and charge distribution can be compared toadsorption and desorption dara of a group of strucrurallysimilar compounds (HABERHAUER et al., 2000b). Theinfor
mation on chemical structures was used to estimate soil partirion coefficients (LOHNINGER, 1994). Modification in
structure can effect the sorption behaviour and could beused for the interpretation of sorption mechanism of a
group ofstrueturally similar organic compounds.
3.3. ONIOM study ofadsorption sites on the 001surface of 1:1 day minerals
Clay minerals represent an important inorganic componentof soils and significantly affect physicochemical proeessestherein. Clays are usually small powder particles « 2 mm)witha high specifie surface area and a high chemical surface
aetivity. Adsorption of mobile chemical species from soilsolution on mineral surfaces is a very important processoceurring in soil. Soil solurions represent chemically verycomplex systems containing inorganic ions and organiemolecular species originated from natural biochemicalprocessesor from human aetivities. Especially the behaviourofpollutants in soil (radionuclides, heavy rnetals, pesticidesetc.) is - due to their potential adverse effects on the eeosys
tem - the main foeus ofmany investigations (SCHACHTSCHABEL et al., 1989). Among organie species, acids and theirderivatives play an important role because of rhe relatively
high ehemical activity of their carboxyl groups. Organicacids affeet the pH ofsoils and can also strongly interactwithother eompounds in solution formingvarious associates andcomplexes, or with the surfaces of the inorganiclorganiesolids forming strongly bound adsorbates. Experimentally, itisvery difficult to distinguish energetieally different adsorption sites on mineral surfaces (e.g, berween "regular" 001surfacesand edgesurfaces (110, 01 0) with broken bonds)orto extract side effeets aecompanying adsorption (like formation ofcomplexes or intercalations),
Computer simulation methods are very useful for the
Die Bodenkultur
detailed description ofinteracrions ofmolecular species withclay minerals. Conventional molecular dynamic or MonteCarlo methods based on classical force fields have been usedin the srudy of interaction of water or srnall organic corn
pounds on day mineral surfaces or inside of the interlayerspace (DELVILLE, 1995; BRlDGEMAN and SKIPPER, 1997;
TEPPEN et al., 1998; SHROLL and SMITH, 1999; SMIRNOVand BOUGEARD, 1999). A disadvantage of rhose methods is
the difficulty to determine a balanced set of parameters forthe empirical potentials, mainly for the interaetions betweendifferent kinds of atoms in the clay and in rhe adsorbedmolecules. Periodie ab initio total energy pseudopotential
calculations were performed on the ralc-water and pyrophyllite-watet systems (BRlDGEMAN et al., 1996). A molecular cluster approach can also be used in studies ofthe interactions ofsmall molecular species with day mineral surfaces.In this approach only a certain fragment of the solid-state
structure is treated. Only a very few papers (CHATTERjEE etal., 1997; ZHANPEISOV et al., 1999; PELMENSCHIKOVandLESZCZYNSKl, 1999) have been published on moleeular clusters which were realistically describing a day layer structureusing an ab initio molecular orbital approach. Such clustermodels would conrain about fifty atorns and more, whiehimplies a compurarionally very demanding task wirhin the
ab initioor DFT framework. The aim of the present workwas the study of the interaetion of water, acetic acid and
acerate with different adsorption sites of rhe 001 surface of
minerals of kaolinite-type applying the duster modelapproach togetherwirh the ONIOM layertechnique (DAPPRICH et al., 1999). These model systems represent the basisfor future investigations of pesticide-clay interactions,
One individuallayer ofkaolinite eonsists ofrwo connected
sheets - a tetrahedral sheet formed from corners sharing SiO4
tetrahedra and an octahedral sheet consisting of edges sharing Al06 tetrahedra, Both sheets have a common plane of
apical oxygen atorns,One third ofall possible ocrahedral central positions are empty. This creates cavities in the ocrahedralsheet and also causes deformation of the other octahedra.Hydroxyl groups participating in hydrogen bonds with basaloxygen atoms from adjacent layers cover the ourer surface ofthe octahedral sheet,The tetrahedral side of the single layerhas characteristie ditrigonal cavities and the surface is formed
from the plane ofbasal oxygen atoms each shared by rwo silicon atorns. These two planes (tetrahedral basal oxygen atoms
and octahedral surface hydroxyls) are parallel to rhe crysrallographic 001 surface and can be considered as electronically saturated, Each of these two planes forms an importantpart of the surface of the macroscopic mineral partiele.
52 (2) 2001
Molecular modelling - opportunities for soil research
The clustermodel ofthe single kaolinite layer was derivedfrom the structure of the mineral dickite (JOSWIG andDRITS, 1986). Ir consists of 78 atoms and contains oneditrigonal tetrahedral ring and one octahedral ring. Dangling bonds were saturated with hydrogen atoms. Thestructure of this layer fragment can be seen in Figures 3-6.The adsorbantswere placed above holes on borh sides ofthelayer - water and acetic acid (HAc) above the tetrahedralside and water and acerate anion (Ac') above the octahedralside. The rwo-layered ONIOM rnethod implemented inthe GAUSSIAN98 package was used for all studied systems. In caseofadsorption on the tetrahedral side the innerONIOM layer is the tetrahedral sheet, and in case ofadsorption on the octahedral side it is the ocrahedral sheet.The B3LYP/SVP method was used in all ONIOM geometry optimisation calculations for the inner part and thesemiempirical PM3 method for the outer layer. Partialgeometry optimisation was performed wich the followingconstraints: the position ofthe adsorbate with respect to theday surface and its geometry were fully optimised. Thepositionsofatoms wirhin the day duster were kept fixed atthe experimental geometry ofdickite in order to reduce anyartefactsdue to finite duster sizes induced by the geometryoptimization. Only the six nearest neighbour hydroxylgroups in case of adsorption on the octahedral side wereoptimised also. Für the optimised geometries single pointcalculations replacing the PM3 method by MNDO in theONIOM approach and extending the SVP basis to SVP+sp(similar to the aluminium complexes) on atorns (excepthydrogen) directly involved in the adsorbent-adsorbatebinding were performed. Additionally, the qualiry of theONIOM approximation was controlled by performingB3LYP calculations for the whole complex. Interactionsenergieswere corrected to the basis set superposition error(BSSE) according to the counterpoise rnethod ofBovs andBERNARDI (1970).
In Table2 calculated results for all studied systems are dis-
played. Figures 3-6 present optimised geometries and alsocontain the most important geometrical parameters.
The D(O)-H20 system (Figure 3). The water is locatedabove the centre of the octahedral cavity and forms hydrogen bonds with the three surface hydroxyl groups surrounding the empty octahedral hole. It is oriented such thatthe lone pairs ofthe oxygen atoms are involved in hydrogenbonds wirh rwo surface hydroxyl groups and one proton ofthe water molecule shows towards one oxygen atorn of asurface hydroxyl group. Calculated interaction energies(Table 2) do not differ much between individual methods,Only a small difference is observed between ONIOM andthe full approach. More important is the extension of theSVP basis set to the SVP+pqualiry. The difference betweenB3LYP/SVP and B3LYP/SVP+sp is 2.2 kcal/mol whichamounts to about 25% of the B3LYP/SVP energy.
The D(O)-Ac system (Figure 4). The acetate anion is alsopositioned above the empty octahedral hole. The C-C bondis almost perpendicular to the hydroxyl surface of the layerwith the methyl group pointed awayfrom the surface. Bothoxygen atorns of the carboxylate group are involved inhydrogen bonding with the four adjacent surface hydroxyl
Figure 3: Dickite (octahedralj-Hjf) system: ONIOM(B3LYF/SVP:PM3) oprirnised geometry. 'Ioptlefr) and sldeüighr) view
Abbildung 3: Das Diekir (oktahedral)- HzO Syscem: ONIOM(B3LYF/SVP:PM3) optimierte Geomerrie. Aufsicht (links) undSeitenansicht (rechts)
Table 2: Calculated interacrion energies of water, acetare and aceric acid with ehe dickire 001 surface (All energies are in kcal/mol)Tabelle2: Berechnete Wechselwirkungsenergien von Wasser, Azetat und Essigsäuremit der Dickit 001 Oberfläche (alle Energien in kcal/mol)
System ONIOM ONIOM(B3LYP/SVP: B3LYP/SVP (B3LYF/SVP+sp: B3LYP/SVP+sp
MNDO) MNDO)
D(O)-Hzoa -10.02 -10.47 -7.17 -8.29D(O)-Acb -73.00 -70.08 ·69.67 -67.13
D(T)-HzÜc -4.51 -3.82 -4.73 ·4.14D(T)-HAcd -2.92 -2.64 -4.06 -2.79
a Dickite(occahedralside)-HzO, b Dickice(occahedral sidel-Ac', C Dickice(cecrahedral side).HzO; d Dickice(cecrahedral side)-HAc
Die Bodenkultur 141 52 (2) 2001
M. H. Gerzabek, A. J.A. Aquino, G. Haberhauer, D. Tunega and H. Lischka
Figure 4: Dickire (ocrahedrall-Ac system. ONIOM(B3LYP/SVP:PM3) optimised geometry. Top(lefi) and sidefright) view
Abbildung 4: Das Dicklt (oktahedral)- Ac' System: ONIOM(B3LYP/SVP:PM3) optimierte Geometrie. Aufsicht (links) undSeitenansicht (rechts)
Figure 5: Dickite (tetrahedral).H20 system. ONIOM(B3LYP/SVP:PM3) optimised geometry. Top(left) and sidetrighr) view
Abbildung 5: Das Diekir (rerrahedral)-Hp System: ONIOM (B3LYP/SVP:PM3) optimierte Geometrie. Aufsicht (links) und Seitenansicht (rechts)
From the caleuIated Interaction energies it is dear that therwo 001 surfaees (octahedral and rerrahedral) of the 1:1kaolinite layer differ significantly, The tetrahedral sideforms onIy weak hydrogen bonds (energiesabout -4 keal/molfor water and aeetic acid, respectively). On the other hand,the octahedral side covered by hydroxyl groups is involvedin the relatively strong hydrogen bonds (about -8 kcal/rnolfor water) as one can see also from the shorter respectivebond distances. Figure 3 also shows that one water moleeule has more possibilities to form hydrogen bonds on theoctahedral side than on the tetrahedral one (see Fig. 5).Theyare even stronger beeause of eooperative effects. TheONIOM approach turned out to be a powerful and effeetive method for investigations of the interactions of relatively Iarge moleeular systems interacting with day rnineral surfaees.
groups. Three bond lengths of the hydrogen bridges are~ 1.75 Awhile the fourth one is much larger (~2.00 A). Theinteraction energies are much bigger (in absolute value)than those for the D(O)-H20 system because of the netcharge of the acerare anion. As in rhe previous case, theONIOM approximation has onIy a small influence. Therelative difference berween B3LYP/SVP and B3LYP/SVP+spenergies are even smalier (about 9 %) than before.
The D(T)-H20 system (Figure 5). The water moleculeis not located directly above the centre of the ditrigonaltetrahedral hole but is shifted to the side of the ditrigonalring to form a better contact with two neighbouring oxygenatoms in that ring. The water molecule is oriented with thehydrogen atorns directed towards the basal oxygen atornsand the H-H vector is almost parallel to the plane of theseoxygen aroms, The distances berween the protons and thecontacting oxygen atoms are 2.142 Aand 2.515 A, respectively.This large bond distances indicate weaker interactionthan in the D(O)-H20 case. CalcuIated interaction energies (Table 2) vary wirhin one kcal/mol. The average valueis about -4.2 kcal/mo1. As in rhe previous cases ONIOMenergies do not differ substantially from the full benchmarkcalculations.
Tbe D(T)-HAc system (Figure 6). The interaetion of theacetic acid molecule with the tetrahedral surface is very similar to the previous case, The molecuIe is positioned almostdirecdy above the centre ofthe ditrigonal hole and forms oneweak hydrogen bond with one basal oxygen atom with abond length of 1.940 A. The calculated interaction energiesareslightly lower (in the absolute value) than those for the system D(T)-H20. The variation in inreraction energiesbetween different merhods isalsosirnilar to the previous ease.
Figure 6:
Abbildung 6:
Dickire (retrahedrall-Hac sysrem, ONIOM(B3LYP/ SVP:PM3) optimised geometry.Top(left) and sideiright) viewDas Diekir (retrahedral)- HAc System: ONIOM(B3LYP/SVP:PM3) optimierte Geometrie. Aufsicht (links) undSeitenansicht (rechts)
Die Bodenkultur 142 52 (2) 2001
Molecular modelling - opportunities far soil research
4. Conclusions
Basedon the reviewed literature it may be summarized thatcomputational chemistry is an emerging science wirhin soilresearch. Interesting examples of its application werealready presented in literature, especially in the field ofstructural investigations ofsolid soil constituents,
The studies presented in this paper support that:• inreractions of small molecules (Al-acetate, Al-oxalate)
can be calculated by DFT-methods with relatively high
accuracy• different humic substance models as basis for further
investigations can be derived by molecular modellingmethods based on structural information provided byvarious analytical investigations
• linking molecular structural information of organic pollutants to their adsorption behaviour in soil might provide new insights in sorption mechanisms
• the development ofduster models seems to be a prornising way for the investigation ofmolecular interactions inlarger systems like the day mineral/soil water interface.
Acknowledgements
This work was supported by the Austrian Science Fund,project no. PI2969-CHE.
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Addresses of authors
Univ. Prof. D.1. Dr. Martin H. Gerzabek, D.1. Dr. GeorgHaberhauer, Department of Environmetal Research, Austrian Research Center Seibersdorf A-2444 Seibersdorf;e-mail: martin.gerzabekts'arcs.ac.arUniv. Prof. Dr, Hans Lischka, Institute for TheoreticalChemistry and Structural Biology, University of Vienna,Währingerstrasse 17, A-l 090 Vienna;Dr.. AdeliaAquino und Dr, Daniel Tunega sind an heidenInstitutionen tätig.
Eingelangt am 21. August 2000Angenommen am 12. Januar 2001
Die Bodenkultur 146 52 (2) 2001