Abstract
The rationalization, prediction and control of structure and properties of organic
condensed phases - crystals, liquids, mesophases, and solutions - is a frontier problem
in chemistry, made difficult by the relative weakness and scarce directional selectivity
of intermolecular bonding. A survey is given of the present status of theories of
molecular recognition and of methods for the computer simulation of intermolecular
interactions. The organic crystalline state is first considered: lattice energies;
polymorphism and crystal chirality; the possibility of prediction of crystalline structure
from molecular structure. Some account is then given of evolutionary modeling schemes,
those involving a full dynamic simulation of the transformations of chemical systems:
crystal melting; molecular aggregation from solutions into micelles and nuclei. As
a perspective for years to come, it appears that molecular dynamics in the classical
approximation with empirical potentials will be the method of choice in organic physical
and theoretical chemistry.
Key words
molecular simulation - molecular recognition - crystal nucleation - crystal structure
prediction
References
<A NAME="RA27601ST-1">1 </A>
Nicolau KC.
Boddy CNC.
Braese S.
Winssinger N.
Angew. Chem. Int. Ed.
1999,
38:
2096
<A NAME="RA27601ST-2">2 </A>
Morrison RT.
Boyd RN.
Organic Chemistry
9th ed.:
Allyn and Bacon;
Boston:
1963.
p.789
<A NAME="RA27601ST-3">3 </A>
Ferretti, V.; Gavezzotti, A.; Gilli, P. Chem. - Eur. J ., in press.
See for example:
<A NAME="RA27601ST-4A">4a </A>
Gavezzotti A.
Acc. Chem. Res.
1994,
27:
309
<A NAME="RA27601ST-4B">4b </A>
Gavezzotti A.
Cryst. Rev.
1998,
7:
5
<A NAME="RA27601ST-4C">4c </A> The paper by the ‘Cambridge Collaboration’:
Lommerse JPM.
Motherwell WDS.
Ammon HL.
Dunitz JD.
Gavezzotti A.
Hofmann DWM.
Leusen FJJ.
Mooij WTM.
Price SL.
Schweizer B.
Schmidt MU.
van Eijck BP.
Verwer P.
Williams DE.
Acta Crystallogr
2000,
B56:
697
<A NAME="RA27601ST-5">5 </A> See for example several papers in Chem. Mater . 1994 , 6 , Special Issue on the structure and chemistry of the organic solid state, and especially:
Dolbecq A.
Formiguè M.
Batail P.
Coulon C.
Chem. Mater.
1994,
6:
1413
<A NAME="RA27601ST-6">6 </A> For a primer on intermolecular interactions see:
Rigby M.
Smith EB.
Wakeham WA.
Maitland GC.
The Forces Between Molecules
Clarendon Press;
Oxford:
1986.
<A NAME="RA27601ST-7">7 </A>
For crystals, where molecules come very close to one another, the dipolar approximation
to intermolecular potentials is unsatisfactory because the assumption that intermolecular
distances be much larger than dipole dimensions is not valid. For similar reasons,
dipole moments for very large molecules (e.g. proteins) are meaningless.
<A NAME="RA27601ST-8">8 </A> For a critical discussion of terms like force, energy, attraction and repulsion
in crystals, see:
Dunitz JD.
Gavezzotti A.
Acc. Chem. Res.
1999,
32:
677
<A NAME="RA27601ST-9">9 </A>
Scott WRP.
Hunenberger PH.
Tironi IG.
Mark AE.
Billeter SR.
Fennen J.
Torda AE.
Huber T.
Kruger P.
van Gunsteren WF.
J. Phys. Chem.
1999,
103:
3596
<A NAME="RA27601ST-10">10 </A>
MacKerell AD.
Wiorkiewicz-Kuczera J.
Karplus M.
J. Am. Chem. Soc.
1995,
117:
11946
<A NAME="RA27601ST-11">11 </A>
Cornell WD.
Cieplak P.
Bayly CI.
Gould IR.
Merz KM.
Ferguson DM.
Spellmeyer DC.
Fox T.
Caldwell JW.
Kollman PA.
J. Am. Chem. Soc.
1995,
117:
5179
<A NAME="RA27601ST-12">12 </A>
Jorgensen WL.
Maxwell DS.
Tirado-Rives J.
J. Am. Chem. Soc.
1996,
118:
11225
<A NAME="RA27601ST-13">13 </A> See for an overview:
Theoretical Aspects and Computer Modeling of the Molecular Solid State
Gavezzotti A.
Wiley;
Chichester:
1997.
<A NAME="RA27601ST-14">14 </A>
Filippini G.
Gavezzotti A.
Acta Crystallogr.
1993,
B49:
868
<A NAME="RA27601ST-15">15 </A>
Gavezzotti A.
Filippini G.
J. Phys. Chem.
1994,
98:
4831
<A NAME="RA27601ST-16">16 </A>
Gilli P.
Bertolasi V.
Ferretti V.
Gilli G.
J. Am. Chem. Soc.
2000,
122:
10405 ; and references therein
<A NAME="RA27601ST-17">17 </A>
See ref.
[13 ]
Thermochemical measurements are needed for comparisons, but thermochemistry does not
really appeal to funding agencies. A research proposal entitled ‘Accurate Thermochemical
Measurements on Organic Crystals’ admittedly appeals much less than something like
‘Crystal Engineering of Nano-chemical Systems for Supramolecular Devices and Materials’.
<A NAME="RA27601ST-18">18 </A>
Gavezzotti A.
J. Chem. Soc., Perkin Trans. 2
1995,
1399 ; see also the discussion and references in ref.
<A NAME="RA27601ST-19">19 </A> See for example:
Thalladi VR.
Nusse M.
Boese R.
J. Am. Chem. Soc.
2000,
12:
9227
<A NAME="RA27601ST-20A">20a </A> Polymorphism can be a haunting phenomenon because of inadvertent seeding; see
the wonderful paper on disappearing polymorphs by:
Bernstein J.
Dunitz JD.
Acc. Chem. Res.
1995,
28:
193
<A NAME="RA27601ST-20B">20b </A>
Gavezzotti A.
Filippini G.
J. Am. Chem. Soc.
1995,
117:
12299
<A NAME="RA27601ST-20C">20c </A>
Gavezzotti A.
Filippini G.
J. Am. Chem. Soc.
1996,
118:
7153
<A NAME="RA27601ST-20D">20d </A>
Dunitz JD.
Filippini G.
Gavezzotti A.
Helv. Chim. Acta
2000,
83:
2317
<A NAME="RA27601ST-20E">20e </A>
Boese R.
Kirchner MT.
Dunitz JD.
Filippini G.
Gavezzotti A.
Helv. Chim. Acta
2001,
84:
1561
<A NAME="RA27601ST-21">21 </A> There is no definite proof that racemic crystals are more dense or more stable
than chiral ones, see:
Brock CP.
Schweizer B.
Dunitz JD.
J. Am. Chem. Soc.
1991,
113:
9811 ; of course the proof may rest upon some unknown effects so subtle that we cannot
account for them at the moment
<A NAME="RA27601ST-22">22 </A>
Desiraju GR.
Angew. Chem. Int. Ed. Engl.
1995,
34:
2311
<A NAME="RA27601ST-23">23 </A>
Gavezzotti A.
J. Am. Chem. Soc.
1991,
113:
4622
<A NAME="RA27601ST-24A">24a </A>
Gavezzotti A.
Zip-Promet, A Program for the Generation of Crystal Structures from Molecular Structure
University of Milano;
Italy:
1999-2000. ; (available for distribution upon request)
<A NAME="RA27601ST-24B">24b </A>
Gavezzotti A.
Minopec, A Program for the Optimization of Lattice Energies
University of Milano;
Italy:
1999-2000. ; (available for distribution upon request). ”Zip" stands for ”faster",
as the latest version is, although with computers going faster may well mean just
making mistakes faster
<A NAME="RA27601ST-25">25 </A> In molecular dynamics, temperature is given its energy equipartition definition,
that is T = E(kin)/[R N(dof)], E(kin) being easily obtained from atomic velocities.
The internal pressure of a solid or a liquid is easily computed through the virial,
a sum of forces that molecules exert against the walls, less the forces due to intermolecular
interactions. See:
van Gunsteren WF.
Berendsen HJC.
Angew. Chem. Int. Ed. Engl.
1990,
29:
992
<A NAME="RA27601ST-26">26 </A>
Gavezzotti A.
J. Mol. Struct.
1999,
485
<A NAME="RA27601ST-27">27 </A>
A related technique is called Monte Carlo simulation: phase space is sampled by random
changes in molecular positions and momenta, rather than by trajectories. MD has a
more appealing kinetic flavor, though.
<A NAME="RA27601ST-28">28 </A>
Gavezzotti A.
Filippini G.
Kroon J.
van Eijck BP.
Klewinghaus P.
Chem. - Eur. J.
1997,
3:
893
<A NAME="RA27601ST-29">29 </A>
Gavezzotti A.
Chem. - Eur. J.
1999,
5:
567
<A NAME="RA27601ST-30">30 </A>
Gavezzotti A.
Chem. - Eur. J.
2000,
6:
2288
<A NAME="RA27601ST-31">31 </A>
See the references to the experimental work in the discussion in ref.
[30 ]
<A NAME="RA27601ST-32">32 </A> These figures could be off by several powers of ten, since the theory of nucleation
speed has been said to be the only discipline in chemistry and physics where agreement
within nine orders of magnitude is considered a big success see:
Oxtoby DW.
Acc. Chem. Res.
1998,
31:
91
<A NAME="RA27601ST-33">33 </A>
Keller E.
SCHAKAL92, A Program for the Graphic Representation of Molecular and Crystallographic
Models
University of Freiburg;
Germany:
1993.