The SCC-DFTB method applied to organic and biological systems: successes, extensions and problems.
Simulations of Biological Systems with DFTB and the Divide-and-Conquer Linear Scaling Method Weitao...
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![Page 1: Simulations of Biological Systems with DFTB and the Divide-and-Conquer Linear Scaling Method Weitao Yang, Duke University Funding NSF NSF-NIRT NIH DARPA.](https://reader036.fdocuments.us/reader036/viewer/2022062515/56649cef5503460f949bdae9/html5/thumbnails/1.jpg)
Simulations of Biological Systems with DFTB and the Divide-and-Conquer Linear Scaling Method
Weitao Yang, Duke University
FundingNSFNSF-NIRTNIHDARPA
SF ACS September 06
TheoryBiologicalNanoMaterial
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Jan Hermans (UNC)
Carter (UNC)
Nakatsuji (Kyoto)
Fitzgerald, Rudolph (Duke)
Whitman (TX-Austin)
NIH
Studies of Biological Systems
Y. Zhang, H.Liu, Z. Lu, A. Cisneros, T. Hori, A. Boone, J.Parks, H. Hu, S. Burger, M. Wang
Taisung Lee (Minnesota) Darrin York (Minnesota)Haiyan Liu (USTC)Marcus ElstnerThomas Frauenheim
Hao Hu
Zhengyu Lu
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Outline• The need of QM for large biological systems
• The SCC-DFTB approach
• The Linear-Scaling Divide-and-Conquer Approach
• Applications
• Challenges
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Motivations
– Biological systems and processes are complex and require statistical mechanics for the sampling and accurate description of interaction energies.
– Molecular mechanics (force field) model the interaction energies empirically, and can be limited in applicability.
– Quantum mechanics (electronic structure theory) describe potential energy surfaces at different levels of approximation, and can reach chemical accuracy.
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SCC-DFTB
Elstner M, Porezag D, Jungnickel G, Elstner J, Haugk M, Frauenheim T, Suhai S, Seifert G. Self-consistent-charge density functional tight-binding method for simulations of complex materials properties. Phys Rev 1998;B28:7260–7268
• High accuracy
• Transparent construction and appealing derivation
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O(N) Approach to Large System Simulations
Linear Scaling Quantum Mechanical Method: Divide-and-Conquer Method, Yang, PRL (1991)
• Before our work, quantum chemistry calculations scaled at least as N3
• Our divide-and conquer approach is the first linear scaling, O(N) approach. It opened the field. Many labs have since joined and extended the effort.
• Divide the system into subsystems and calculate each subsystem separately.
• Computational effort the size of molecule.
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The idea of divide and conquer
H H
Divide
Approximate
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Recent applications of the Divide-and-Conquer method by other laboratories
•Calculations of micrometer-long carbon nanotubes field emission mechanism, GuanHua Chen, Ningsheng Xu, et al. Phys. Rev. Lett, 2004 (8000 C atoms)
•Structure, dynamics and quantum properties of 65,536-atom CdSe nanoparticles, Shimojo, KaliaK, Nakano, Vashishta, Computer Physics Communication, 2005
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Some Recent Applications of DFTB+ the Divide-and-Conquer Method with
Collaborators
•Energetics of the electron transfer from bacteriopheophytin to ubiquinone in the photosynthetic reaction center ofRhodopseu-domonas Viridis: Theoretical study. JPC B, 2003.
•400 ps Dynamics simulation of Crambin in water with QM forces, Proteins, 2003
•The Complex Mechanical Properties of Single Amylose Chains in Water: A Quantum Mechanical and AFM Study, JACS 2004
•Simulation of bulk water structure with SCC-DFTB-QM forces, 2006 (Talk to be given by Dr. Hao Hu)
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The Complex Mechanical Properties of Single Amylose Chains in Water: A Quantum Mechanical and AFM Study
Lu, Nowak, Lee, Marszalek, and Yang, JACS 2004
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– Our simulations reproduce the characteristic plateau of amylose in the force-extension curve of amylose
– Unravel the mechanism of the extensibility of a polysaccharide amylose in water, which displays particularly large deviations from the simple entropic elasticity
– We find that this deviation coincides with force-induced chair-to-boat transitions of the glucopyranose rings.
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Challenges to SCC-DFTB from recent developments in DFT
• The SCC-DFTB is based on GGA
• The importance of self-interaction error in approximate DFT
• The new generation of functionals uses KS orbitals explicitly (Orbital functionals)
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Self-interaction free-exchange-correlation functional: The Mori-Cohen-Yang functional
JCP, 124, 091102, 2006
A self-interaction-free exchange-correlation functional which is very accurate for thermochemistry and kinetics
• Based on the orbital/potential functional approach and the adiabatic connection.
• Combine ab initio construction of the functional forms through adiabatic connection
• Use the exact exchange, generalized gradient appromation (GGA) and meta-GGA functionals
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Non-hydrogen transfer barriers(kcal/mol)
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Summary of the MCY functionals• SIE free theoretical construction + 2 parameters fitted to
heats of formation
• Computationally efficient, as B3LYP (including the exact exchange)
• Better thermodynamics than all the other common functionals
• Much Improved Reaction Barriers– MAE = 1.85 kcal/mol for H transfer – MAE = 1.88 kcal/mol for non H transfer
• IP, EA, Molecular Structure: improvement over B3LYP• Week interactions: similar or slightly worse than B3LYP