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QTPIE: A new charge model for arbitrary geometries and systems Jiahao Chen and Todd J. Martínez Department of Chemistry and the Beckman Institute Poster: 7:30-9:30 tonight, BCEC Exhibit Hall B2, #107
Polarization effects are important in classical molecular dynamics ,[object Object],[object Object],1 Berendsen, H. J. C.; Grigera, J. R.; Straatsma, T. P.  J. Phys. Chem.   91 ,  1987 , 6269-71. 2 Stuart, S. J.; Berne, B. J.  J. Phys. Chem.   100 ,  1996 , 11934 -11943. OPLS/AA Non-polarizable force field TIP4P/FQ Polarizable force field
[object Object],How to represent explicit polarization in classical MD? Review: Yu, H.; van Gunsteren, W. F.;  Comput. Phys. Commun.   172  (2005), 69-85. +q ,    -q ,    Induced dipoles  calculated from  site polarizabilities   fixed calculated
How to represent explicit polarization in classical MD? ,[object Object],[object Object],Review: Yu, H.; van Gunsteren, W. F.;  Comput. Phys. Commun.   172  (2005), 69-85. spring  k charge -Q >> q mass m << M charge q+Q mass M-m calculated
[object Object],[object Object],[object Object],[object Object],How to represent explicit polarization in classical MD? Review: Yu, H.; van Gunsteren, W. F.;  Comput. Phys. Commun.   172  (2005), 69-85. calculated
Fluctuating-charge models map molecules onto electrical circuits screened Coulomb interaction chemical hardness electro- negativity molecule More electropositive More electronegative 0 V         -  Voltage  + electric potential (inverse) capacitance electrical circuits Coulomb interaction
QEq, a typical fluctuating-charge model ,[object Object],[object Object],[object Object],Rappé, A. K.; Goddard, W. A. , J. Phys. Chem.   95  (1991), 3358-3363 .
Limitations of QEq ,[object Object],[object Object],[object Object],[object Object],voltage distance        
QTPIE, our new charge model ,[object Object],[object Object],J. Chen and T. J. Martínez , Chem. Phys. Lett.   438  (2007) 315 -3 20. voltage distance        
Features of QTPIE ,[object Object],[object Object],[object Object]
Dissocation of H 2 O in QEq and QTPIE ,[object Object],[object Object],equilibrium geometry R QEq QTPIE ab initio QTPIE prediction improved over QEq  without  reoptimizing parameters   ab initio  = DMA charges from CASSCF(6/4)/STO-3G wavefunction
Cooperative polarization in water ,[object Object],[object Object],[object Object],1 D. R. Lide,  CRC Handbook of Chemistry and Physics , 73rd ed.,  1992 . 2 A. V. Gubskaya and P. G. Kusalik,  J. Chem. Phys.   117  (2002) 5290-5302. +
Creating a water model with QTPIE ,[object Object],[object Object],[object Object],[object Object],1 Jorgensen, W. L.;  et al. ,  J. Chem. Phys.   79  (1983) 926-935.
New parameters for TIP3P/QTPIE and TIP3P/QEq ,[object Object],[object Object],1 Rappé, A. K.; Goddard, W. A. , J. Phys. Chem.   95  (1991), 3358-3363. 2 Calculated from ionization potentials and electron affinities in NIST Webbook. 12.157 20.680 20.680 13.364   12.844 10.125 10.125 13.890   7.540 8.125 8.285 8.741   7.176 5.116 4.960 4.528   Expt. 2 QEq QTPIE Original 1 eV
Dipole response of linear water chains ,[object Object],[object Object],[object Object],[object Object],[object Object],1 Murphy, W. F.  J. Chem. Phys.   67 ,  1977 , 5877-5882. 2 Ren, P.; Ponder, J. W.  J. Phys. Chem. B   107 ,  2003 , 5933-5947.. planar (0° twist) twisted (90°)
Mean dipole moment per water planar
Mean dipole moment per water twisted
TIP3P/QTPIE predicts dipoles well ,[object Object],planar twisted 4 4 3 14 No. of nonzero electrostatics parameters TIP3P/QTPIE TIP3P/QEq TIP3P AMOEBA Water model
Conclusions ,[object Object],[object Object],[object Object]
Acknowledgments ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Out-of-plane polarizability per water planar
Out-of-plane polarizability per water twisted
In-plane polarizability per water planar
In-plane polarizability per water twisted
Dipole-axis polarizability per water planar
Dipole-axis polarizability per water twisted
TIP3P/QTPIE doesn’t predict polarizabilities well ,[object Object],[object Object],[object Object],twisted planar out of plane in plane dipole axis

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QTPIE charge model improves water dipole moments