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Title: Benchmarking the Fundamental Electronic Properties of small TiO2 Nanoclusters by GW and Coupled Cluster Theory Calculations

Abstract

We study the vertical and adiabatic ionization potentials and electron affinities of bare and hydroxylated TiO2 nanoclusters, as well as their fundamental gap and exciton binding energy values, to understand how the clusters’ electronic properties change as a function of size and hydroxylation. In addition, we have employed a range of many-body methods; including G0W0, qsGW, EA/IP-EOM-CCSD, and DFT (B3LYP, PBE), to compare the performance and predictions of the different classes of methods. We demonstrate that, for bare clusters, all many-body methods predict the same trend with cluster size. The highest occupied and lowest unoccupied DFT orbitals follow the same trends as the electron affinity and ionization potentials predicted by the many-body methods, but are generally far too shallow and deep respectively in absolute terms. In contrast, the ΔDFT method is found to yield values in the correct energy window. However, its predictions depend upon the functional used and do not necessarily follow trends based on the many-body methods. Adiabatic potentials are predicted to be similar to their vertical counterparts and holes found to be trapped more strongly than excess electrons. The effect of hydroxylation on the clusters is to open up both the optical and fundamental gap. Finally, amore » simple microscopic explanation for the observed trends with cluster size and upon hydroxylation is proposed in terms of the onsite electrostatic potential.« less

Authors:
 [1];  [2];  [3];  [3];  [4]; ORCiD logo [5]; ORCiD logo [6]
  1. Department of Chemistry, Imperial College London, South Kensington, London SW7 2AZ, United Kingdom, Department of Chemistry, University College London, 20 Gordon Street, London WC1H 0AJ, United Kingdom
  2. Institute of Nanotechnology, Karlsruhe Institute of Technology, Campus North, D-76344 Karlsruhe, Germany
  3. Cain Department of Chemical Engineering, Louisiana State University, Baton Rouge, Louisiana 70803, United States
  4. Nanoscopic Physics, Institute of Condensed Matter and Nanosciences, Université Catholique de Louvain, 1348 Louvain-la-Neuve, Belgium
  5. William R. Wiley Environmental Molecular Science Laboratory, Battelle, Pacific Northwest National Laboratory, K8-91, P. O. Box 999, Richland, Washington 99352, United States
  6. Department of Chemistry, University College London, 20 Gordon Street, London WC1H 0AJ, United Kingdom
Publication Date:
Research Org.:
Pacific Northwest National Laboratory (PNNL), Richland, WA (United States); Louisiana State Univ., Baton Rouge, LA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1371788
Alternate Identifier(s):
OSTI ID: 1390409; OSTI ID: 1508246; OSTI ID: 1508249
Report Number(s):
PNNL-SA-125647
Journal ID: ISSN 1549-9618
Grant/Contract Number:  
AC06-76RL01830; SC0012432; AC05-76RL01830
Resource Type:
Published Article
Journal Name:
Journal of Chemical Theory and Computation
Additional Journal Information:
Journal Name: Journal of Chemical Theory and Computation; Journal ID: ISSN 1549-9618
Publisher:
American Chemical Society
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; electronic structure theory

Citation Formats

Berardo, Enrico, Kaplan, Ferdinand, Bhaskaran-Nair, Kiran, Shelton, William A., van Setten, Michiel J., Kowalski, Karol, and Zwijnenburg, Martijn A. Benchmarking the Fundamental Electronic Properties of small TiO2 Nanoclusters by GW and Coupled Cluster Theory Calculations. United States: N. p., 2017. Web. doi:10.1021/acs.jctc.7b00538.
Berardo, Enrico, Kaplan, Ferdinand, Bhaskaran-Nair, Kiran, Shelton, William A., van Setten, Michiel J., Kowalski, Karol, & Zwijnenburg, Martijn A. Benchmarking the Fundamental Electronic Properties of small TiO2 Nanoclusters by GW and Coupled Cluster Theory Calculations. United States. https://doi.org/10.1021/acs.jctc.7b00538
Berardo, Enrico, Kaplan, Ferdinand, Bhaskaran-Nair, Kiran, Shelton, William A., van Setten, Michiel J., Kowalski, Karol, and Zwijnenburg, Martijn A. Mon . "Benchmarking the Fundamental Electronic Properties of small TiO2 Nanoclusters by GW and Coupled Cluster Theory Calculations". United States. https://doi.org/10.1021/acs.jctc.7b00538.
@article{osti_1371788,
title = {Benchmarking the Fundamental Electronic Properties of small TiO2 Nanoclusters by GW and Coupled Cluster Theory Calculations},
author = {Berardo, Enrico and Kaplan, Ferdinand and Bhaskaran-Nair, Kiran and Shelton, William A. and van Setten, Michiel J. and Kowalski, Karol and Zwijnenburg, Martijn A.},
abstractNote = {We study the vertical and adiabatic ionization potentials and electron affinities of bare and hydroxylated TiO2 nanoclusters, as well as their fundamental gap and exciton binding energy values, to understand how the clusters’ electronic properties change as a function of size and hydroxylation. In addition, we have employed a range of many-body methods; including G0W0, qsGW, EA/IP-EOM-CCSD, and DFT (B3LYP, PBE), to compare the performance and predictions of the different classes of methods. We demonstrate that, for bare clusters, all many-body methods predict the same trend with cluster size. The highest occupied and lowest unoccupied DFT orbitals follow the same trends as the electron affinity and ionization potentials predicted by the many-body methods, but are generally far too shallow and deep respectively in absolute terms. In contrast, the ΔDFT method is found to yield values in the correct energy window. However, its predictions depend upon the functional used and do not necessarily follow trends based on the many-body methods. Adiabatic potentials are predicted to be similar to their vertical counterparts and holes found to be trapped more strongly than excess electrons. The effect of hydroxylation on the clusters is to open up both the optical and fundamental gap. Finally, a simple microscopic explanation for the observed trends with cluster size and upon hydroxylation is proposed in terms of the onsite electrostatic potential.},
doi = {10.1021/acs.jctc.7b00538},
journal = {Journal of Chemical Theory and Computation},
number = ,
volume = ,
place = {United States},
year = {Mon Jun 19 00:00:00 EDT 2017},
month = {Mon Jun 19 00:00:00 EDT 2017}
}

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Works referenced in this record:

Resolved Quadrupolar Transition in Ti O 2
journal, December 1977


Probing the Electronic Structure and Band Gap Evolution of Titanium Oxide Clusters (TiO 2 ) n - ( n = 1−10) Using Photoelectron Spectroscopy
journal, March 2007

  • Zhai, Hua-Jin; Wang, Lai-Sheng
  • Journal of the American Chemical Society, Vol. 129, Issue 10
  • DOI: 10.1021/ja068601z

Effect of TiO2 Crystallite Diameter on Photocatalytic Water Splitting Rate
journal, January 2014

  • Banno, Haruna; Kariya, Ben; Isu, Norifumi
  • Green and Sustainable Chemistry, Vol. 04, Issue 02
  • DOI: 10.4236/gsc.2014.42013

Bulk and Surface Polarons in Photoexcited Anatase TiO 2
journal, August 2011

  • Di Valentin, Cristiana; Selloni, Annabella
  • The Journal of Physical Chemistry Letters, Vol. 2, Issue 17
  • DOI: 10.1021/jz2009874

Photodecomposition of water over Pt/TiO2 catalysts
journal, May 1980


Structure and Stability of Small TiO 2 Nanoparticles
journal, August 2005

  • Hamad, S.; Catlow, C. R. A.; Woodley, S. M.
  • The Journal of Physical Chemistry B, Vol. 109, Issue 33
  • DOI: 10.1021/jp0521914

Quasiparticle and optical properties of rutile and anatase TiO 2
journal, August 2010


Modeling the Water Splitting Activity of a TiO 2 Rutile Nanoparticle
journal, June 2015

  • Berardo, Enrico; Zwijnenburg, Martijn A.
  • The Journal of Physical Chemistry C, Vol. 119, Issue 24
  • DOI: 10.1021/acs.jpcc.5b01512

Molecular Structures and Energetics of the (TiO 2 ) n ( n = 1−4) Clusters and Their Anions
journal, July 2008

  • Li, Shenggang; Dixon, David A.
  • The Journal of Physical Chemistry A, Vol. 112, Issue 29
  • DOI: 10.1021/jp800170q

Formation and fragmentation of gas-phase titanium/oxygen cluster positive ions
journal, September 1990

  • Yu, Wen; Freas, Royal B.
  • Journal of the American Chemical Society, Vol. 112, Issue 20
  • DOI: 10.1021/ja00176a007

Theoretical Investigation of the Hydrogenation of (TiO 2 ) N Clusters ( N = 1–10)
journal, July 2011

  • Syzgantseva, Olga A.; Gonzalez-Navarrete, Patricio; Calatayud, Monica
  • The Journal of Physical Chemistry C, Vol. 115, Issue 32
  • DOI: 10.1021/jp2050349

Second order many‐body perturbation approximations to the coupled cluster Green’s function
journal, January 1995

  • Nooijen, Marcel; Snijders, Jaap G.
  • The Journal of Chemical Physics, Vol. 102, Issue 4
  • DOI: 10.1063/1.468900

Electron propagator theory with the ground state correlated by the coupled-cluster method
journal, March 1993

  • Meissner, Leszek; Bartlett, Rodney J.
  • International Journal of Quantum Chemistry, Vol. 48, Issue S27
  • DOI: 10.1002/qua.560480810

Studies of reactions of small titanium oxide cluster cations toward oxygen at thermal energies
journal, September 1992

  • Guo, B. C.; Kerns, K. P.; Castleman, A. W.
  • International Journal of Mass Spectrometry and Ion Processes, Vol. 117
  • DOI: 10.1016/0168-1176(92)80090-N

Coupled-cluster representation of Green function employing modified spectral resolutions of similarity transformed Hamiltonians
journal, September 2014

  • Kowalski, K.; Bhaskaran-Nair, K.; Shelton, W. A.
  • The Journal of Chemical Physics, Vol. 141, Issue 9
  • DOI: 10.1063/1.4893527

Electronic structure calculations on workstation computers: The program system turbomole
journal, October 1989


The density functional formalism, its applications and prospects
journal, July 1989


Disinfection of spring water and secondary treated municipal wastewater by TiO2 photocatalysis
journal, January 2010


Mechanism of Photocatalytic Water Splitting in TiO 2 . Reaction of Water with Photoholes, Importance of Charge Carrier Dynamics, and Evidence for Four-Hole Chemistry
journal, October 2008

  • Tang, Junwang; Durrant, James R.; Klug, David R.
  • Journal of the American Chemical Society, Vol. 130, Issue 42
  • DOI: 10.1021/ja8034637

Probing the Optical Property and Electronic Structure of TiO 2 Nanomaterials for Renewable Energy Applications
journal, May 2014

  • Kapilashrami, Mukes; Zhang, Yanfeng; Liu, Yi-Sheng
  • Chemical Reviews, Vol. 114, Issue 19
  • DOI: 10.1021/cr5000893

Nobel Lecture: Electronic structure of matter—wave functions and density functionals
journal, October 1999


Quasi-Particle Self-Consistent GW for Molecules
journal, May 2016

  • Kaplan, F.; Harding, M. E.; Seiler, C.
  • Journal of Chemical Theory and Computation, Vol. 12, Issue 6
  • DOI: 10.1021/acs.jctc.5b01238

Vibronic coupling effects on the structure and spectroscopy of neutral and charged TiO2 clusters
journal, October 2012


Electronic structure of titanium oxide clusters: TiOy (y = 1−3) and (TiO2)n (n = 1−4)
journal, November 1997

  • Wu, Hongbin; Wang, Lai‐Sheng
  • The Journal of Chemical Physics, Vol. 107, Issue 20
  • DOI: 10.1063/1.475026

Reactivity of (TiO 2 ) N Clusters ( N = 1−10): Probing Gas-Phase Acidity and Basicity Properties
journal, September 2008

  • Calatayud, Mònica; Maldonado, Lluis; Minot, Christian
  • The Journal of Physical Chemistry C, Vol. 112, Issue 41
  • DOI: 10.1021/jp802851q

Long range coupling between defect centres in inorganic nanostructures: Valence alternation pairs in nanoscale silica
journal, October 2012

  • Zwijnenburg, M. A.; Illas, F.; Bromley, S. T.
  • The Journal of Chemical Physics, Vol. 137, Issue 15
  • DOI: 10.1063/1.4758461

Size and Shape Dependence of the Electronic and Spectral Properties in TiO 2 Nanoparticles
journal, April 2011

  • Auvinen, Sami; Alatalo, Matti; Haario, Heikki
  • The Journal of Physical Chemistry C, Vol. 115, Issue 17
  • DOI: 10.1021/jp112114p

Calculations of the low-lying excited states of the TiO 2 molecule
journal, November 2010

  • Taylor, Daniel J.; Paterson, Martin J.
  • The Journal of Chemical Physics, Vol. 133, Issue 20
  • DOI: 10.1063/1.3515477

Optical excitations in stoichiometric uncapped ZnS nanostructures
journal, January 2011


Determination of the Exciton Binding Energy in CdSe Quantum Dots
journal, January 2009

  • Meulenberg, Robert W.; Lee, Jonathan R. I.; Wolcott, Abraham
  • ACS Nano, Vol. 3, Issue 2
  • DOI: 10.1021/nn8006916

On correlation effects in electron spectroscopies and the GW approximation
journal, October 1999


The nature of excess electrons in anatase and rutile from hybrid DFT and RPA
journal, January 2014

  • Spreafico, Clelia; VandeVondele, Joost
  • Phys. Chem. Chem. Phys., Vol. 16, Issue 47
  • DOI: 10.1039/C4CP03981E

Size Effects in the Interface Level Alignment of Dye-Sensitized TiO 2 Clusters
journal, June 2014

  • Marom, Noa; Körzdörfer, Thomas; Ren, Xinguo
  • The Journal of Physical Chemistry Letters, Vol. 5, Issue 14
  • DOI: 10.1021/jz5008356

Diagrammatic analysis and application of the coupled cluster response approach to ground-state expectation values
journal, July 1993

  • Nooijen, Marcel; Snijders, Jaap G.
  • International Journal of Quantum Chemistry, Vol. 47, Issue 1
  • DOI: 10.1002/qua.560470103

The Kohn–Sham gap, the fundamental gap and the optical gap: the physical meaning of occupied and virtual Kohn–Sham orbital energies
journal, January 2013

  • Baerends, E. J.; Gritsenko, O. V.; van Meer, R.
  • Physical Chemistry Chemical Physics, Vol. 15, Issue 39
  • DOI: 10.1039/c3cp52547c

Turbomole
journal, July 2013

  • Furche, Filipp; Ahlrichs, Reinhart; Hättig, Christof
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 4, Issue 2
  • DOI: 10.1002/wcms.1162

Theoretical Study of the Electronic Structure and Stability of Titanium Dioxide Clusters (TiO 2 ) n with n = 1−9
journal, May 2006

  • Qu, Zheng-wang; Kroes, Geert-Jan
  • The Journal of Physical Chemistry B, Vol. 110, Issue 18
  • DOI: 10.1021/jp056607p

Realistic Cluster Modeling of Electron Transport and Trapping in Solvated TiO 2 Nanoparticles
journal, July 2012

  • Zhang, Jing; Hughes, Thomas F.; Steigerwald, Michael
  • Journal of the American Chemical Society, Vol. 134, Issue 29
  • DOI: 10.1021/ja3013787

Benchmark Calculations of Energetic Properties of Groups 4 and 6 Transition Metal Oxide Nanoclusters Including Comparison to Density Functional Theory
journal, July 2016

  • Fang, Zongtang; Both, Johan; Li, Shenggang
  • Journal of Chemical Theory and Computation, Vol. 12, Issue 8
  • DOI: 10.1021/acs.jctc.6b00464

Computational Study of H 2 and O 2 Production from Water Splitting by Small (MO 2 ) n Clusters (M = Ti, Zr, Hf)
journal, April 2013

  • Fang, Zongtang; Dixon, David A.
  • The Journal of Physical Chemistry A, Vol. 117, Issue 16
  • DOI: 10.1021/jp401443x

Quasiparticle Self-Consistent G W Theory
journal, June 2006


Electron Counting in Solids: Oxidation States, Partial Charges, and Ionicity
journal, April 2017

  • Walsh, Aron; Sokol, Alexey A.; Buckeridge, John
  • The Journal of Physical Chemistry Letters, Vol. 8, Issue 9
  • DOI: 10.1021/acs.jpclett.7b00809

Coupled cluster Green function: Model involving single and double excitations
journal, April 2016

  • Bhaskaran-Nair, Kiran; Kowalski, Karol; Shelton, William A.
  • The Journal of Chemical Physics, Vol. 144, Issue 14
  • DOI: 10.1063/1.4944960

The equation-of-motion coupled-cluster method: Excitation energies of Be and CO
journal, December 1989


Coupled cluster calculations on TiO 2 nanoclusters
journal, August 2013

  • Berardo, Enrico; Hu, Han-Shi; Kowalski, Karol
  • The Journal of Chemical Physics, Vol. 139, Issue 6
  • DOI: 10.1063/1.4817536

Effect of Dot Size on Exciton Binding Energy and Electron–Hole Recombination Probability in CdSe Quantum Dots
journal, September 2013

  • Elward, Jennifer M.; Chakraborty, Arindam
  • Journal of Chemical Theory and Computation, Vol. 9, Issue 10
  • DOI: 10.1021/ct400485s

Photocatalytic properties of rutile TiO 2 powder for overall water splitting
journal, January 2014


Visible-Light-Driven N−F−Codoped TiO 2 Photocatalysts. 2. Optical Characterization, Photocatalysis, and Potential Application to Air Purification
journal, May 2005

  • Li, Di; Haneda, Hajime; Hishita, Shunichi
  • Chemistry of Materials, Vol. 17, Issue 10
  • DOI: 10.1021/cm049099p

Polymorph Engineering of TiO 2 : Demonstrating How Absolute Reference Potentials Are Determined by Local Coordination
journal, May 2015


Structure, electronic, and optical properties of TiO 2 atomic clusters: An ab initio study
journal, December 2011

  • Chiodo, Letizia; Salazar, Martin; Romero, Aldo H.
  • The Journal of Chemical Physics, Vol. 135, Issue 24
  • DOI: 10.1063/1.3668085

Electronic and Optical Properties of Doped and Undoped (TiO 2 ) n Nanoparticles
journal, September 2010

  • Shevlin, S. A.; Woodley, S. M.
  • The Journal of Physical Chemistry C, Vol. 114, Issue 41
  • DOI: 10.1021/jp104372j

Mechanism of photocatalytic water oxidation on small TiO 2 nanoparticles
journal, January 2017

  • Muuronen, Mikko; Parker, Shane M.; Berardo, Enrico
  • Chemical Science, Vol. 8, Issue 3
  • DOI: 10.1039/C6SC04378J

Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields
journal, November 1994

  • Stephens, P. J.; Devlin, F. J.; Chabalowski, C. F.
  • The Journal of Physical Chemistry, Vol. 98, Issue 45, p. 11623-11627
  • DOI: 10.1021/j100096a001

Mechanism of Photoinduced Superhydrophilicity on the TiO 2 Photocatalyst Surface
journal, August 2005

  • Takeuchi, Masato; Sakamoto, Kenji; Martra, Gianmario
  • The Journal of Physical Chemistry B, Vol. 109, Issue 32
  • DOI: 10.1021/jp058075i

Effect of Size and Structure on the Ground-State and Excited-State Electronic Structure of TiO 2 Nanoparticles
journal, July 2016

  • Cho, Daeheum; Ko, Kyoung Chul; Lamiel-García, Oriol
  • Journal of Chemical Theory and Computation, Vol. 12, Issue 8
  • DOI: 10.1021/acs.jctc.6b00519

Highly efficient dye-sensitized solar cells: progress and future challenges
journal, January 2013

  • Zhang, Shufang; Yang, Xudong; Numata, Youhei
  • Energy & Environmental Science, Vol. 6, Issue 5
  • DOI: 10.1039/c3ee24453a

Mind the gap!
journal, January 2014


Band alignment of rutile and anatase TiO2
journal, July 2013

  • Scanlon, David O.; Dunnill, Charles W.; Buckeridge, John
  • Nature Materials, Vol. 12, Issue 9
  • DOI: 10.1038/nmat3697

Describing Excited State Relaxation and Localization in TiO 2 Nanoparticles Using TD-DFT
journal, November 2014

  • Berardo, Enrico; Hu, Han-Shi; van Dam, Hubertus J. J.
  • Journal of Chemical Theory and Computation, Vol. 10, Issue 12
  • DOI: 10.1021/ct500787x

The GW -Method for Quantum Chemistry Applications: Theory and Implementation
journal, December 2012

  • van Setten, M. J.; Weigend, F.; Evers, F.
  • Journal of Chemical Theory and Computation, Vol. 9, Issue 1
  • DOI: 10.1021/ct300648t

Photoactivity of Molecule–TiO 2 Clusters with Time-Dependent Density-Functional Theory
journal, February 2016

  • Luppi, E.; Urdaneta, I.; Calatayud, M.
  • The Journal of Physical Chemistry A, Vol. 120, Issue 27
  • DOI: 10.1021/acs.jpca.6b00477

Computational Study of the Hydrolysis Reactions of the Ground and First Excited Triplet States of Small TiO 2 Nanoclusters
journal, April 2011

  • Wang, Tsang-Hsiu; Fang, Zongtang; Gist, Natalie W.
  • The Journal of Physical Chemistry C, Vol. 115, Issue 19
  • DOI: 10.1021/jp111026x

Electronic structure of dye-sensitized TiO 2 clusters from many-body perturbation theory
journal, December 2011


Exchange and correlation in atoms, molecules, and solids by the spin-density-functional formalism
journal, May 1976


Covalent O–H Bonds as Electron Traps in Proton-Rich Rutile TiO 2 Nanoparticles
journal, March 2014

  • Zhang, Jing; Steigerwald, Michael; Brus, Louis
  • Nano Letters, Vol. 14, Issue 4
  • DOI: 10.1021/nl404307n

Self-cleaning coatings
journal, January 2005

  • Parkin, Ivan P.; Palgrave, Robert G.
  • Journal of Materials Chemistry, Vol. 15, Issue 17
  • DOI: 10.1039/b412803f

Quantum Chemical Investigation of Cluster Models for TiO 2 Nanoparticles with Water-Derived Ligand Passivation: Studies of Excess Electron States and Implications for Charge Transport in the Gratzel Cell
journal, October 2009

  • Blagojevic, Vladimir; Chen, Yiing-Rei; Steigerwald, Michael
  • The Journal of Physical Chemistry C, Vol. 113, Issue 46
  • DOI: 10.1021/jp905332z

Light-induced water splitting by titanium-tetrahydroxide: a computational study
journal, January 2015

  • Kazaryan, Andranik; van Santen, Rutger; Baerends, Evert Jan
  • Physical Chemistry Chemical Physics, Vol. 17, Issue 31
  • DOI: 10.1039/C5CP01812A

Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen
journal, January 1989

  • Dunning, Thom H.
  • The Journal of Chemical Physics, Vol. 90, Issue 2
  • DOI: 10.1063/1.456153

Dependence of Activity of Rutile Titanium(IV) Oxide Powder for Photocatalytic Overall Water Splitting on Structural Properties
journal, April 2014

  • Maeda, Kazuhiko; Murakami, Naoya; Ohno, Teruhisa
  • The Journal of Physical Chemistry C, Vol. 118, Issue 17
  • DOI: 10.1021/jp502949q

Structure Selection Based on High Vertical Electron Affinity for TiO 2 Clusters
journal, March 2012


Equation of motion coupled cluster methods for electron attachment and ionization potential in fullerenes C 60 and C 70
journal, August 2014

  • Bhaskaran-Nair, Kiran; Kowalski, Karol; Moreno, Juana
  • The Journal of Chemical Physics, Vol. 141, Issue 7
  • DOI: 10.1063/1.4891934

Structural and Electronic Properties of Photoexcited TiO 2 Nanoparticles from First Principles
journal, January 2015

  • Nunzi, Francesca; Agrawal, Saurabh; Selloni, Annabella
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 2
  • DOI: 10.1021/ct500815x

Photocatalytic Activity of Rutile Titania for Hydrogen Evolution
journal, April 2014

  • Amano, Fumiaki; Nakata, Masashi; Ishinaga, Eri
  • Chemistry Letters, Vol. 43, Issue 4
  • DOI: 10.1246/cl.131124

Electronic excitations: density-functional versus many-body Green’s-function approaches
journal, June 2002


Tree Growth—Hybrid Genetic Algorithm for Predicting the Structure of Small (TiO 2 ) n , n = 2–13, Nanoclusters
journal, June 2013

  • Chen, Mingyang; Dixon, David A.
  • Journal of Chemical Theory and Computation, Vol. 9, Issue 7
  • DOI: 10.1021/ct400105c

Fully optimized contracted Gaussian basis sets for atoms Li to Kr
journal, August 1992

  • Schäfer, Ansgar; Horn, Hans; Ahlrichs, Reinhart
  • The Journal of Chemical Physics, Vol. 97, Issue 4
  • DOI: 10.1063/1.463096

All-Electron Self-Consistent G W Approximation: Application to Si, MnO, and NiO
journal, September 2004


NWChem: A comprehensive and scalable open-source solution for large scale molecular simulations
journal, September 2010

  • Valiev, M.; Bylaska, E. J.; Govind, N.
  • Computer Physics Communications, Vol. 181, Issue 9, p. 1477-1489
  • DOI: 10.1016/j.cpc.2010.04.018

Coupled-cluster theory in quantum chemistry
journal, February 2007


Systematically convergent basis sets for transition metals. I. All-electron correlation consistent basis sets for the 3d elements Sc–Zn
journal, August 2005

  • Balabanov, Nikolai B.; Peterson, Kirk A.
  • The Journal of Chemical Physics, Vol. 123, Issue 6
  • DOI: 10.1063/1.1998907

Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy
journal, January 2005

  • Weigend, Florian; Ahlrichs, Reinhart
  • Physical Chemistry Chemical Physics, Vol. 7, Issue 18, p. 3297-3305
  • DOI: 10.1039/b508541a

Density‐functional thermochemistry. III. The role of exact exchange
journal, April 1993

  • Becke, Axel D.
  • The Journal of Chemical Physics, Vol. 98, Issue 7, p. 5648-5652
  • DOI: 10.1063/1.464913

Self-energy and excitonic effects in the electronic and optical properties of TiO 2 crystalline phases
journal, July 2010

  • Chiodo, Letizia; García-Lastra, Juan Maria; Iacomino, Amilcare
  • Physical Review B, Vol. 82, Issue 4
  • DOI: 10.1103/PhysRevB.82.045207

Modeling Excited States in TiO 2 Nanoparticles: On the Accuracy of a TD-DFT Based Description
journal, February 2014

  • Berardo, Enrico; Hu, Han-Shi; Shevlin, Stephen A.
  • Journal of Chemical Theory and Computation, Vol. 10, Issue 3
  • DOI: 10.1021/ct4010273

T i O 2 -Based Photocatalytic Process for Purification of Polluted Water: Bridging Fundamentals to Applications
journal, January 2013

  • Wang, Chuan; Liu, Hong; Qu, Yanzhen
  • Journal of Nanomaterials, Vol. 2013
  • DOI: 10.1155/2013/319637

Coupled cluster approach to the single-particle Green's function
journal, March 1992

  • Nooijen, Marcel; Snijders, Jaap G.
  • International Journal of Quantum Chemistry, Vol. 44, Issue S26
  • DOI: 10.1002/qua.560440808

GW 100: Benchmarking G 0 W 0 for Molecular Systems
journal, November 2015

  • van Setten, Michiel J.; Caruso, Fabio; Sharifzadeh, Sahar
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 12
  • DOI: 10.1021/acs.jctc.5b00453

Is There a Nanosize for the Activity of TiO 2 Compounds?
journal, June 2009

  • Calatayud, Mònica; Minot, Christian
  • The Journal of Physical Chemistry C, Vol. 113, Issue 28
  • DOI: 10.1021/jp901465q

Photocatalytic degradation for environmental applications - a review
journal, January 2001

  • Bhatkhande, Dhananjay S.; Pangarkar, Vishwas G.; Beenackers, Anthony A?C?M
  • Journal of Chemical Technology & Biotechnology, Vol. 77, Issue 1
  • DOI: 10.1002/jctb.532

Understanding TiO 2 Photocatalysis: Mechanisms and Materials
journal, May 2014

  • Schneider, Jenny; Matsuoka, Masaya; Takeuchi, Masato
  • Chemical Reviews, Vol. 114, Issue 19
  • DOI: 10.1021/cr5001892

Stability and Electronic Properties of TiO 2 Nanostructures With and Without B and N Doping
journal, June 2009

  • Mowbray, D. J.; Martinez, J. I.; García Lastra, J. M.
  • The Journal of Physical Chemistry C, Vol. 113, Issue 28
  • DOI: 10.1021/jp904672p

Computational design of nanoclusters by property-based genetic algorithms: Tuning the electronic properties of ( TiO 2 ) n clusters
journal, June 2015

  • Bhattacharya, Saswata; Sonin, Benjamin H.; Jumonville, Christopher J.
  • Physical Review B, Vol. 91, Issue 24
  • DOI: 10.1103/PhysRevB.91.241115

Excitonic Effects and the Optical Absorption Spectrum of Hydrogenated Si Clusters
journal, April 1998


The equation-of-motion coupled-cluster method. Applications to open- and closed-shell reference states
journal, May 1993


First-principles real-space study of electronic and optical excitations in rutile TiO 2 nanocrystals
journal, October 2014


Coupled cluster Green's function method: Working equations and applications
journal, October 1993

  • Nooijen, Marcel; Snijders, Jaap G.
  • International Journal of Quantum Chemistry, Vol. 48, Issue 1
  • DOI: 10.1002/qua.560480103

Solar Energy Conversion by Dye-Sensitized Photovoltaic Cells
journal, October 2005


Direct splitting of pure water into hydrogen and oxygen using rutile titania powder as a photocatalyst
journal, January 2013


Visible Light Absorption of N-Doped TiO 2 Rutile Using (LR/RT)-TDDFT and Active Space EOMCCSD Calculations
journal, October 2011

  • Govind, N.; Lopata, K.; Rousseau, R.
  • The Journal of Physical Chemistry Letters, Vol. 2, Issue 21
  • DOI: 10.1021/jz201118r