Development of nonlocal kinetic-energy density functional for the hybrid QM/MM interaction

Development of the electronic kinetic-energy density functional is a subject of major interest in theoretical physics and chemistry. In this work, the nonlocal kinetic-energy functional is developed in terms of the response function for the molecular system to realize the orbital free density-functi...

Full description

Saved in:
Bibliographic Details
Published inThe Journal of chemical physics Vol. 158; no. 1; pp. 014102 - 14114
Main Author Takahashi, Hideaki
Format Journal Article
LanguageEnglish
Published United States American Institute of Physics 07.01.2023
Subjects
Online AccessGet full text

Cover

Loading…
Abstract Development of the electronic kinetic-energy density functional is a subject of major interest in theoretical physics and chemistry. In this work, the nonlocal kinetic-energy functional is developed in terms of the response function for the molecular system to realize the orbital free density-functional theory (OF-DFT) to be utilized in the hybrid QM/MM (quantum mechanical/molecular mechanical) method. The present approach shows a clear contrast to the previous functionals where the homogeneous electron gas serves as a reference to build the response function. As a benchmark test, we apply the method to a QM water molecule in a dimer system and that embedded in a condensed environment to make comparisons with the results given by the QM/MM calculations employing the Kohn–Sham DFT. It was found that the energetics and the polarization density of the QM solute under the influence of the MM environment can be adequately reproduced with our approach. This work suggests the potential ability of the kinetic-energy functional based on the response functions for the molecular reference systems.
AbstractList Development of the electronic kinetic-energy density functional is a subject of major interest in theoretical physics and chemistry. In this work, the nonlocal kinetic-energy functional is developed in terms of the response function for the molecular system to realize the orbital free density-functional theory (OF-DFT) to be utilized in the hybrid QM/MM (quantum mechanical/molecular mechanical) method. The present approach shows a clear contrast to the previous functionals where the homogeneous electron gas serves as a reference to build the response function. As a benchmark test, we apply the method to a QM water molecule in a dimer system and that embedded in a condensed environment to make comparisons with the results given by the QM/MM calculations employing the Kohn-Sham DFT. It was found that the energetics and the polarization density of the QM solute under the influence of the MM environment can be adequately reproduced with our approach. This work suggests the potential ability of the kinetic-energy functional based on the response functions for the molecular reference systems.Development of the electronic kinetic-energy density functional is a subject of major interest in theoretical physics and chemistry. In this work, the nonlocal kinetic-energy functional is developed in terms of the response function for the molecular system to realize the orbital free density-functional theory (OF-DFT) to be utilized in the hybrid QM/MM (quantum mechanical/molecular mechanical) method. The present approach shows a clear contrast to the previous functionals where the homogeneous electron gas serves as a reference to build the response function. As a benchmark test, we apply the method to a QM water molecule in a dimer system and that embedded in a condensed environment to make comparisons with the results given by the QM/MM calculations employing the Kohn-Sham DFT. It was found that the energetics and the polarization density of the QM solute under the influence of the MM environment can be adequately reproduced with our approach. This work suggests the potential ability of the kinetic-energy functional based on the response functions for the molecular reference systems.
Development of the electronic kinetic-energy density functional is a subject of major interest in theoretical physics and chemistry. In this work, the nonlocal kinetic-energy functional is developed in terms of the response function for the molecular system to realize the orbital free density-functional theory (OF-DFT) to be utilized in the hybrid QM/MM (quantum mechanical/molecular mechanical) method. The present approach shows a clear contrast to the previous functionals where the homogeneous electron gas serves as a reference to build the response function. As a benchmark test, we apply the method to a QM water molecule in a dimer system and that embedded in a condensed environment to make comparisons with the results given by the QM/MM calculations employing the Kohn–Sham DFT. It was found that the energetics and the polarization density of the QM solute under the influence of the MM environment can be adequately reproduced with our approach. This work suggests the potential ability of the kinetic-energy functional based on the response functions for the molecular reference systems.
Author Takahashi, Hideaki
Author_xml – sequence: 1
  givenname: Hideaki
  surname: Takahashi
  fullname: Takahashi, Hideaki
  organization: Department of Chemistry, Graduate School of Science, Tohoku University, Sendai, Miyagi 980-8578, Japan
BackLink https://www.ncbi.nlm.nih.gov/pubmed/36610962$$D View this record in MEDLINE/PubMed
BookMark eNqd0U1rGzEQBmBRUhon7aF_oAh6SQsbj1b7IR1L0i-IKYX20ovQSqNG6VpyJW3A_76b2KYQcsppLs-88M6ckKMQAxLymsE5g44v23NgtWBN_4wsGAhZ9Z2EI7IAqFklO-iOyUnONwDA-rp5QY551zGQXb0gvy7xFse4WWMoNDo6J4_R6JH-8QGLNxUGTL-31GLIvmypm4IpPoZZuJhouUZ6vR2St_T7arlaUR8KJn1PXpLnTo8ZX-3nKfn56eOPiy_V1bfPXy8-XFWGC14qoQdtGmF6B9pwCUZr0VrLcGDIGtk2OAgcnB0sa4SDRjAmasetrI002rb8lJztcjcp_p0wF7X22eA46oBxyqruOyYFyAZm-vYBvYlTmsvcK6h7yft-Vm_2ahrWaNUm-bVOW3W42gyWO2BSzDmhU8YXfde5JO1HxUDd_UW1av-XeePdg41D6GP2_c7mQ-rT8G1M_6HaWMf_AfAEqJc
CODEN JCPSA6
CitedBy_id crossref_primary_10_1021_acs_chemrev_2c00758
crossref_primary_10_1063_5_0160465
Cites_doi 10.1021/ct501133u
10.1021/acs.jcim.9b01063
10.1103/physrevb.45.13196
10.1016/j.cplett.2009.04.059
10.1103/physrevb.58.13465
10.1063/1.3685604
10.1088/1361-6455/abc45e
10.1063/1.464304
10.1002/qua.26969
10.1103/physrev.140.a1133
10.1007/BF01351576
10.1103/physrevlett.82.5016
10.1016/s0010-4655(96)00120-8
10.1007/BF01337700
10.1246/cl.2000.222
10.1126/science.1411573
10.1063/1.5023926
10.1002/jcc.1082
10.1021/acs.jpcb.7b00637
10.1016/j.cpc.2010.09.001
10.1080/00268976900100941
10.1088/1361-6455/aaaa0d
10.1063/1.2008234
10.1103/physrevb.37.785
10.1063/1.1610440
10.1103/physrevb.60.16350
10.1103/physrevb.86.235109
10.1021/acs.jpcb.9b03831
10.1063/1.456153
10.1103/physrevlett.72.1240
10.1103/physrevlett.48.1425
10.1557/jmr.2017.462
10.1103/physreva.49.2421
10.1021/j100308a038
10.1021/cr9904009
10.1103/physreva.38.3098
10.1103/physrevb.100.041105
10.1016/s0166-1280(03)00284-7
10.1103/physrevb.50.11355
10.1017/s0305004100011683
10.1063/1.1897379
10.1016/0022-2836(76)90311-9
10.1103/physrevb.81.045206
10.1063/1.1774981
10.1063/1.4870037
10.1103/physrevb.97.205137
10.1021/jp004348s
10.1103/physrev.136.b864
10.1063/1.1670299
10.1142/8633
ContentType Journal Article
Copyright Author(s)
2023 Author(s). Published under an exclusive license by AIP Publishing.
Copyright_xml – notice: Author(s)
– notice: 2023 Author(s). Published under an exclusive license by AIP Publishing.
DBID AAYXX
CITATION
CGR
CUY
CVF
ECM
EIF
NPM
8FD
H8D
L7M
7X8
DOI 10.1063/5.0128147
DatabaseName CrossRef
Medline
MEDLINE
MEDLINE (Ovid)
MEDLINE
MEDLINE
PubMed
Technology Research Database
Aerospace Database
Advanced Technologies Database with Aerospace
MEDLINE - Academic
DatabaseTitle CrossRef
MEDLINE
Medline Complete
MEDLINE with Full Text
PubMed
MEDLINE (Ovid)
Technology Research Database
Aerospace Database
Advanced Technologies Database with Aerospace
MEDLINE - Academic
DatabaseTitleList MEDLINE - Academic

CrossRef
Technology Research Database
MEDLINE
Database_xml – sequence: 1
  dbid: NPM
  name: PubMed
  url: https://proxy.k.utb.cz/login?url=http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed
  sourceTypes: Index Database
– sequence: 2
  dbid: EIF
  name: MEDLINE
  url: https://proxy.k.utb.cz/login?url=https://www.webofscience.com/wos/medline/basic-search
  sourceTypes: Index Database
DeliveryMethod fulltext_linktorsrc
Discipline Chemistry
Physics
EISSN 1089-7690
ExternalDocumentID 36610962
10_1063_5_0128147
jcp
Genre Journal Article
GrantInformation_xml – fundername: Ministry of Education, Culture, Sports, Science and Technology
  grantid: 23118701
  funderid: https://doi.org/10.13039/501100001700
– fundername: Japan Society for the Promotion of Science
  grantid: 17K05138; 22K12055; 25620004
  funderid: https://doi.org/10.13039/501100001691
GroupedDBID ---
-DZ
-ET
-~X
123
1UP
2-P
29K
4.4
5VS
85S
AAAAW
AABDS
AAEUA
AAPUP
AAYIH
ABPPZ
ABZEH
ACBRY
ACLYJ
ACNCT
ACZLF
ADCTM
AEJMO
AENEX
AFATG
AFHCQ
AGKCL
AGLKD
AGMXG
AGTJO
AHSDT
AJJCW
AJQPL
ALEPV
ALMA_UNASSIGNED_HOLDINGS
AQWKA
ATXIE
AWQPM
BPZLN
CS3
D-I
DU5
EBS
ESX
F5P
FDOHQ
FFFMQ
HAM
M6X
M71
M73
N9A
NPSNA
O-B
P2P
RIP
RNS
RQS
TN5
TWZ
UPT
WH7
YQT
YZZ
~02
53G
AAGWI
AAYXX
ABJGX
ADMLS
BDMKI
CITATION
CGR
CUY
CVF
ECM
EIF
NPM
8FD
H8D
L7M
7X8
ID FETCH-LOGICAL-c383t-8abac48c7f0ac390caa85dd1eb1e14954eb8ebfdbd148f0481182f3d92c9cad53
ISSN 0021-9606
1089-7690
IngestDate Thu Jul 10 19:18:00 EDT 2025
Sun Jun 29 15:55:44 EDT 2025
Wed Feb 19 02:25:15 EST 2025
Tue Jul 01 01:12:26 EDT 2025
Thu Apr 24 23:11:01 EDT 2025
Fri Jun 21 00:17:20 EDT 2024
Tue Jul 04 19:18:18 EDT 2023
IsPeerReviewed true
IsScholarly true
Issue 1
Language English
License Published under an exclusive license by AIP Publishing.
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c383t-8abac48c7f0ac390caa85dd1eb1e14954eb8ebfdbd148f0481182f3d92c9cad53
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
ORCID 0000-0002-4412-4115
PMID 36610962
PQID 2760279377
PQPubID 2050685
PageCount 13
ParticipantIDs proquest_journals_2760279377
scitation_primary_10_1063_5_0128147
pubmed_primary_36610962
proquest_miscellaneous_2761980940
crossref_citationtrail_10_1063_5_0128147
crossref_primary_10_1063_5_0128147
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 20230107
2023-01-07
2023-Jan-07
PublicationDateYYYYMMDD 2023-01-07
PublicationDate_xml – month: 01
  year: 2023
  text: 20230107
  day: 07
PublicationDecade 2020
PublicationPlace United States
PublicationPlace_xml – name: United States
– name: Melville
PublicationTitle The Journal of chemical physics
PublicationTitleAlternate J Chem Phys
PublicationYear 2023
Publisher American Institute of Physics
Publisher_xml – name: American Institute of Physics
References Wang, Teter (c12) 1992; 45
Thomas (c9) 1927; 23
Warshel, Levitt (c23) 1976; 103
Ruiz-López (c25) 2003; 632
Mi, Pavanello (c19) 2019; 100
Wang, Govind, Carter (c14) 1998; 58
Hohenberg, Kohn (c51) 1964; 136
Takahashi, Hori, Wakabayashi, Nitta (c35) 2001; 105
Kleinman, Bylander (c50) 1982; 48
Xia, Huang, Shin, Carter (c20) 2012; 136
Kohn, Sham (c4) 1965; 140
Hung, Carter (c5) 2009; 475
Chelikowsky, Troullier, Saad (c32) 1994; 72
Takahashi (c22) 2022; 122
Dunning (c55) 1989; 90
Takahashi, Matubayasi, Nakahara, Nitta (c43) 2004; 121
Xia, Carter (c21) 2012; 86
Lee, Yang, Parr (c49) 1988; 37
Wang, Govind, Carter (c15) 1999; 60
Takahashi, Suzuoka, Sakuraba, Morita (c28) 2019; 123
Takahashi (c30) 2020; 53
Takahashi, Hashimoto, Nitta (c36) 2003; 119
Bérces, Dickson, Fan, Jacobsen, Swerhone, Ziegler (c40) 1997; 100
Takahashi, Sakuraba, Morita (c47) 2020; 60
Hung, Huang, Shin, Ho, Lignères, Carter (c6) 2010; 181
Becke (c48) 1988; 38
Mi, Genova, Pavanello (c17) 2018; 148
Takahashi, Hori, Wakabayashi, Nitta (c34) 2000; 29
von Weizsäcker (c11) 1935; 96
Tomasi, Mennucci, Cammi (c56) 2005; 105
Takahashi, Suzuoka, Morita (c27) 2015; 11
Takahashi, Umino, Miki, Ishizuka, Maeda, Morita, Suzuki, Matubayasi (c45) 2017; 121
Constantin, Fabiano, Della Sala (c18) 2018; 97
Berendsen, Grigera, Straatsma (c53) 1987; 91
Takahashi (c29) 2018; 51
Lindhard (c13) 1954; 28
Takahashi, Kawashima, Nitta, Matubayasi (c44) 2005; 123
Suzuoka, Takahashi, Morita (c58) 2014; 140
Ono, Hirose (c46) 1999; 82
Gao, Xia (c24) 1992; 258
Pulay (c38) 1969; 17
Chelikowsky, Troullier, Wu, Saad (c33) 1994; 50
Witt, Del Rio, Dieterich, Carter (c8) 2018; 33
Huang, Carter (c16) 2010; 81
Fermi (c10) 1928; 48
Takahashi, Hori, Hashimoto, Nitta (c26) 2001; 22
Gerratt, Mills (c39) 1968; 49
Zhou, Carter (c41) 2005; 122
Becke (c54) 1993; 98
van Leeuwen, Baerends (c37) 1994; 49
(2023081106112707800_c2) 2004
(2023081106112707800_c39) 1968; 49
(2023081106112707800_c13) 1954; 28
Wesolowski (2023081106112707800_c7) 2013
(2023081106112707800_c48) 1988; 38
(2023081106112707800_c27) 2015; 11
(2023081106112707800_c58) 2014; 140
(2023081106112707800_c45) 2017; 121
(2023081106112707800_c1) 1989
(2023081106112707800_c15) 1999; 60
(2023081106112707800_c36) 2003; 119
(2023081106112707800_c4) 1965; 140
(2023081106112707800_c43) 2004; 121
(2023081106112707800_c30) 2020; 53
(2023081106112707800_c53) 1987; 91
(2023081106112707800_c28) 2019; 123
(2023081106112707800_c31) 1996
(2023081106112707800_c33) 1994; 50
(2023081106112707800_c41) 2005; 122
(2023081106112707800_c34) 2000; 29
2023081106112707800_c57
(2023081106112707800_c12) 1992; 45
(2023081106112707800_c5) 2009; 475
(2023081106112707800_c25) 2003; 632
(2023081106112707800_c11) 1935; 96
(2023081106112707800_c32) 1994; 72
(2023081106112707800_c10) 1928; 48
(2023081106112707800_c50) 1982; 48
(2023081106112707800_c20) 2012; 136
(2023081106112707800_c56) 2005; 105
(2023081106112707800_c9) 1927; 23
(2023081106112707800_c22) 2022; 122
(2023081106112707800_c47) 2020; 60
(2023081106112707800_c37) 1994; 49
(2023081106112707800_c55) 1989; 90
(2023081106112707800_c6) 2010; 181
(2023081106112707800_c38) 1969; 17
(2023081106112707800_c52) 1981
(2023081106112707800_c42) 1982
(2023081106112707800_c14) 1998; 58
(2023081106112707800_c8) 2018; 33
(2023081106112707800_c29) 2018; 51
(2023081106112707800_c26) 2001; 22
(2023081106112707800_c49) 1988; 37
(2023081106112707800_c54) 1993; 98
(2023081106112707800_c18) 2018; 97
(2023081106112707800_c51) 1964; 136
(2023081106112707800_c23) 1976; 103
(2023081106112707800_c17) 2018; 148
(2023081106112707800_c44) 2005; 123
(2023081106112707800_c40) 1997; 100
(2023081106112707800_c3) 2001
(2023081106112707800_c21) 2012; 86
(2023081106112707800_c19) 2019; 100
(2023081106112707800_c35) 2001; 105
(2023081106112707800_c46) 1999; 82
(2023081106112707800_c16) 2010; 81
(2023081106112707800_c24) 1992; 258
References_xml – volume: 475
  start-page: 163
  year: 2009
  ident: c5
  article-title: Accurate simulations of metals at the mesoscale: Explicit treatment of 1 million atoms with quantum mechanics
  publication-title: Chem. Phys. Lett.
– volume: 258
  start-page: 631
  year: 1992
  ident: c24
  article-title: A priori evaluation of aqueous polarization effects through Monte Carlo QM-MM simulations
  publication-title: Science
– volume: 98
  start-page: 1372
  year: 1993
  ident: c54
  article-title: A new mixing of Hartree–Fock and local density-functional theories
  publication-title: J. Chem. Phys.
– volume: 22
  start-page: 1252
  year: 2001
  ident: c26
  article-title: A hybrid QM/MM method employing real space grids for QM water in the TIP4P water solvents
  publication-title: J. Comput. Chem.
– volume: 81
  start-page: 045206
  year: 2010
  ident: c16
  article-title: Nonlocal orbital-free kinetic energy density functional for semiconductors
  publication-title: Phys. Rev. B
– volume: 119
  start-page: 7964
  year: 2003
  ident: c36
  article-title: Quantum mechanical/molecular mechanical studies of a novel reaction catalyzed by proton transfer in ambient and supercritical states of water
  publication-title: J. Chem. Phys.
– volume: 91
  start-page: 6269
  year: 1987
  ident: c53
  article-title: The missing term in effective pair potentials
  publication-title: J. Phys. Chem.
– volume: 136
  start-page: 084102
  year: 2012
  ident: c20
  article-title: Can orbital-free density functional theory simulate molecules
  publication-title: J. Chem. Phys.
– volume: 136
  start-page: B864
  year: 1964
  ident: c51
  article-title: Inhomogeneous electron gas
  publication-title: Phys. Rev.
– volume: 17
  start-page: 197
  year: 1969
  ident: c38
  article-title: calculation of force constants and equilibrium geometries in polyatomic molecules. I. Theory
  publication-title: Mol. Phys.
– volume: 86
  start-page: 235109
  year: 2012
  ident: c21
  article-title: Density-decomposed orbital-free density functional theory for covalently bonded molecules and materials
  publication-title: Phys. Rev. B
– volume: 90
  start-page: 1007
  year: 1989
  ident: c55
  article-title: Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen
  publication-title: J. Chem. Phys.
– volume: 51
  start-page: 055102
  year: 2018
  ident: c29
  article-title: Density-functional theory based on the electron distribution on the energy coordinate
  publication-title: J. Phys. B: At., Mol. Opt. Phys.
– volume: 100
  start-page: 041105(R)
  year: 2019
  ident: c19
  article-title: Orbital-free density functional theory correctly models quantum dots when asymptotics, nonlocality, and nonhomogeneity are accounted for
  publication-title: Phys. Rev. B
– volume: 50
  start-page: 11355
  year: 1994
  ident: c33
  article-title: High-order finite-difference pseudopotential method: An application to diatomic molecules
  publication-title: Phys. Rev. B
– volume: 121
  start-page: 2279
  year: 2017
  ident: c45
  article-title: Drastic compensation of electronic and solvation effects on ATP hydrolysis revealed through large-scale QM/MM simulations combined with a theory of solutions
  publication-title: J. Phys. Chem. B
– volume: 123
  start-page: 7081
  year: 2019
  ident: c28
  article-title: Role of the photosystem II as an environment in the oxidation free energy of the Mn cluster from S1 to S2
  publication-title: J. Phys. Chem. B
– volume: 97
  start-page: 205137
  year: 2018
  ident: c18
  article-title: Nonlocal kinetic energy functional from the jellium-with-gap model: Applications to orbital-free density functional theory
  publication-title: Phys. Rev. B
– volume: 105
  start-page: 4351
  year: 2001
  ident: c35
  article-title: Real space ab initio molecular dynamics simulations for the reactions of OH radical/OH anion with formaldehyde
  publication-title: J. Phys. Chem. A
– volume: 181
  start-page: 2208
  year: 2010
  ident: c6
  article-title: Introducing PROFESS 2.0: A parallelized, fully linear scaling program for orbital-free density functional theory calculations
  publication-title: Comput. Phys. Commun.
– volume: 58
  start-page: 13465
  year: 1998
  ident: c14
  article-title: Orbital-free kinetic-energy functionals for the nearly free electron gas
  publication-title: Phys. Rev. B
– volume: 105
  start-page: 2999
  year: 2005
  ident: c56
  article-title: Quantum mechanical continuum solvation models
  publication-title: Chem. Rev.
– volume: 45
  start-page: 13196
  year: 1992
  ident: c12
  article-title: Kinetic-energy functional of the electron density
  publication-title: Phys. Rev. B
– volume: 38
  start-page: 3098
  year: 1988
  ident: c48
  article-title: Density-functional exchange-energy approximation with correct asymptotic behavior
  publication-title: Phys. Rev. A
– volume: 632
  start-page: 1
  year: 2003
  ident: c25
  article-title: Combined QM/MM calculations in chemistry and biochemistry
  publication-title: J. Mol. Struct.: THEOCHEM
– volume: 148
  start-page: 184107
  year: 2018
  ident: c17
  article-title: Nonlocal kinetic energy functionals by functional integration
  publication-title: J. Chem. Phys.
– volume: 60
  start-page: 16350
  year: 1999
  ident: c15
  article-title: Orbital-free kinetic-energy density functionals with a density-dependent kernel
  publication-title: Phys. Rev. B
– volume: 122
  start-page: e26969
  year: 2022
  ident: c22
  article-title: Development of kinetic energy density functional using response function defined on the energy coordinate
  publication-title: Int. J. Quantum Chem.
– volume: 53
  start-page: 245101
  year: 2020
  ident: c30
  article-title: Development of static correlation functional using electron distribution on the energy coordinate
  publication-title: J. Phys. B: At., Mol. Opt. Phys.
– volume: 49
  start-page: 1719
  year: 1968
  ident: c39
  article-title: Force constants and dipole-moment derivative of molecules from perturbed Hartree–Fock calculations. I
  publication-title: J. Chem. Phys.
– volume: 11
  start-page: 1181
  year: 2015
  ident: c27
  article-title: Why is benzene soluble in water? Role of OH/ interaction in solvation
  publication-title: J. Chem. Theory Comput.
– volume: 140
  start-page: 134111
  year: 2014
  ident: c58
  article-title: Computation of the free energy due to electron density fluctuation of a solute in solution: A QM/MM method with perturbation approach combined with a theory of solutions
  publication-title: J. Chem. Phys.
– volume: 123
  start-page: 124504
  year: 2005
  ident: c44
  article-title: A novel quantum mechanical/molecular mechanical approach to the free energy calculation for isomerization of glycine in aqueous solution
  publication-title: J. Chem. Phys.
– volume: 100
  start-page: 247
  year: 1997
  ident: c40
  article-title: An implementation of the coupled perturbed Kohn-Sham equations: Perturbation due to nuclear displacements
  publication-title: Comput. Phys. Commun.
– volume: 37
  start-page: 785
  year: 1988
  ident: c49
  article-title: Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density
  publication-title: Phys. Rev. B
– volume: 122
  start-page: 184108
  year: 2005
  ident: c41
  article-title: First principles local pseudopotential for silver: Towards orbital-free density-functional theory for transition metals
  publication-title: J. Chem. Phys.
– volume: 72
  start-page: 1240
  year: 1994
  ident: c32
  article-title: Finite-difference pseudopotential method: Electronic structure calculations without a basis
  publication-title: Phys. Rev. Lett.
– volume: 140
  start-page: A1133
  year: 1965
  ident: c4
  article-title: Self-consistent equations including exchange and correlation effects
  publication-title: Phys. Rev.
– volume: 33
  start-page: 777
  year: 2018
  ident: c8
  article-title: Orbital-free density functional theory for materials research
  publication-title: J. Mater. Res.
– volume: 121
  start-page: 3989
  year: 2004
  ident: c43
  article-title: A quantum chemical approach to the free energy calculations in condensed systems: The QM/MM method combined with the theory of energy representation
  publication-title: J. Chem. Phys.
– volume: 49
  start-page: 2421
  year: 1994
  ident: c37
  article-title: Exchange-correlation potential with correct asymptotic behavior
  publication-title: Phys. Rev. A
– volume: 96
  start-page: 431
  year: 1935
  ident: c11
  article-title: Zur theorie dier kernmassen
  publication-title: Z. Phys.
– volume: 48
  start-page: 73
  year: 1928
  ident: c10
  article-title: A statistical method for the determination of some atomic properties and the application of this method to the theory of the periodic system of elements
  publication-title: Z. Phys.
– volume: 103
  start-page: 227
  year: 1976
  ident: c23
  article-title: Theoretical studies of enzymic reactions: Dielectric, electrostatic and steric stabilization of the carbonium ion in the reaction of lysozyme
  publication-title: J. Mol. Biol.
– volume: 28
  start-page: 3
  year: 1954
  ident: c13
  article-title: On the properties of a gas of charged particles
  publication-title: K. Dan. Vidensk. Selsk.
– volume: 48
  start-page: 1425
  year: 1982
  ident: c50
  article-title: Efficacious form for model pseudopotentials
  publication-title: Phys. Rev. Lett.
– volume: 29
  start-page: 222
  year: 2000
  ident: c34
  article-title: A density functional study for hydrogen bond energy by employing real space grids
  publication-title: Chem. Lett.
– volume: 60
  start-page: 1376
  year: 2020
  ident: c47
  article-title: Large-scale parallel implementation of Hartree–Fock exchange energy on real-space grids using 3D-parallel fast Fourier transform
  publication-title: J. Chem. Inf. Model.
– volume: 82
  start-page: 5016
  year: 1999
  ident: c46
  article-title: Timesaving double-grid method for real-space electronic-structure calculations
  publication-title: Phys. Rev. Lett.
– volume: 23
  start-page: 542
  year: 1927
  ident: c9
  article-title: The calculation of atomic fields
  publication-title: Proc. Cambridge Philos. Soc.
– volume: 11
  start-page: 1181
  year: 2015
  ident: 2023081106112707800_c27
  article-title: Why is benzene soluble in water? Role of OH/π interaction in solvation
  publication-title: J. Chem. Theory Comput.
  doi: 10.1021/ct501133u
– volume-title: Understanding Molecular Simulation
  year: 1996
  ident: 2023081106112707800_c31
– volume: 60
  start-page: 1376
  year: 2020
  ident: 2023081106112707800_c47
  article-title: Large-scale parallel implementation of Hartree–Fock exchange energy on real-space grids using 3D-parallel fast Fourier transform
  publication-title: J. Chem. Inf. Model.
  doi: 10.1021/acs.jcim.9b01063
– volume: 45
  start-page: 13196
  year: 1992
  ident: 2023081106112707800_c12
  article-title: Kinetic-energy functional of the electron density
  publication-title: Phys. Rev. B
  doi: 10.1103/physrevb.45.13196
– volume: 475
  start-page: 163
  year: 2009
  ident: 2023081106112707800_c5
  article-title: Accurate simulations of metals at the mesoscale: Explicit treatment of 1 million atoms with quantum mechanics
  publication-title: Chem. Phys. Lett.
  doi: 10.1016/j.cplett.2009.04.059
– volume: 58
  start-page: 13465
  year: 1998
  ident: 2023081106112707800_c14
  article-title: Orbital-free kinetic-energy functionals for the nearly free electron gas
  publication-title: Phys. Rev. B
  doi: 10.1103/physrevb.58.13465
– volume: 136
  start-page: 084102
  year: 2012
  ident: 2023081106112707800_c20
  article-title: Can orbital-free density functional theory simulate molecules
  publication-title: J. Chem. Phys.
  doi: 10.1063/1.3685604
– volume: 53
  start-page: 245101
  year: 2020
  ident: 2023081106112707800_c30
  article-title: Development of static correlation functional using electron distribution on the energy coordinate
  publication-title: J. Phys. B: At., Mol. Opt. Phys.
  doi: 10.1088/1361-6455/abc45e
– volume: 98
  start-page: 1372
  year: 1993
  ident: 2023081106112707800_c54
  article-title: A new mixing of Hartree–Fock and local density-functional theories
  publication-title: J. Chem. Phys.
  doi: 10.1063/1.464304
– volume: 122
  start-page: e26969
  year: 2022
  ident: 2023081106112707800_c22
  article-title: Development of kinetic energy density functional using response function defined on the energy coordinate
  publication-title: Int. J. Quantum Chem.
  doi: 10.1002/qua.26969
– volume: 140
  start-page: A1133
  year: 1965
  ident: 2023081106112707800_c4
  article-title: Self-consistent equations including exchange and correlation effects
  publication-title: Phys. Rev.
  doi: 10.1103/physrev.140.a1133
– volume: 48
  start-page: 73
  year: 1928
  ident: 2023081106112707800_c10
  article-title: A statistical method for the determination of some atomic properties and the application of this method to the theory of the periodic system of elements
  publication-title: Z. Phys.
  doi: 10.1007/BF01351576
– volume: 82
  start-page: 5016
  year: 1999
  ident: 2023081106112707800_c46
  article-title: Timesaving double-grid method for real-space electronic-structure calculations
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/physrevlett.82.5016
– volume: 100
  start-page: 247
  year: 1997
  ident: 2023081106112707800_c40
  article-title: An implementation of the coupled perturbed Kohn-Sham equations: Perturbation due to nuclear displacements
  publication-title: Comput. Phys. Commun.
  doi: 10.1016/s0010-4655(96)00120-8
– volume: 96
  start-page: 431
  year: 1935
  ident: 2023081106112707800_c11
  article-title: Zur theorie dier kernmassen
  publication-title: Z. Phys.
  doi: 10.1007/BF01337700
– volume-title: Electronic Structure, Basic Theory and Practical Methods
  year: 2004
  ident: 2023081106112707800_c2
– volume: 29
  start-page: 222
  issue: 3
  year: 2000
  ident: 2023081106112707800_c34
  article-title: A density functional study for hydrogen bond energy by employing real space grids
  publication-title: Chem. Lett.
  doi: 10.1246/cl.2000.222
– volume: 258
  start-page: 631
  year: 1992
  ident: 2023081106112707800_c24
  article-title: A priori evaluation of aqueous polarization effects through Monte Carlo QM-MM simulations
  publication-title: Science
  doi: 10.1126/science.1411573
– volume: 148
  start-page: 184107
  year: 2018
  ident: 2023081106112707800_c17
  article-title: Nonlocal kinetic energy functionals by functional integration
  publication-title: J. Chem. Phys.
  doi: 10.1063/1.5023926
– volume: 22
  start-page: 1252
  year: 2001
  ident: 2023081106112707800_c26
  article-title: A hybrid QM/MM method employing real space grids for QM water in the TIP4P water solvents
  publication-title: J. Comput. Chem.
  doi: 10.1002/jcc.1082
– volume-title: Practical Optimization
  year: 1981
  ident: 2023081106112707800_c52
– volume: 121
  start-page: 2279
  year: 2017
  ident: 2023081106112707800_c45
  article-title: Drastic compensation of electronic and solvation effects on ATP hydrolysis revealed through large-scale QM/MM simulations combined with a theory of solutions
  publication-title: J. Phys. Chem. B
  doi: 10.1021/acs.jpcb.7b00637
– volume: 181
  start-page: 2208
  year: 2010
  ident: 2023081106112707800_c6
  article-title: Introducing PROFESS 2.0: A parallelized, fully linear scaling program for orbital-free density functional theory calculations
  publication-title: Comput. Phys. Commun.
  doi: 10.1016/j.cpc.2010.09.001
– volume-title: Modern Quantum Chemistry
  year: 1982
  ident: 2023081106112707800_c42
– volume: 17
  start-page: 197
  year: 1969
  ident: 2023081106112707800_c38
  article-title: Ab initio calculation of force constants and equilibrium geometries in polyatomic molecules. I. Theory
  publication-title: Mol. Phys.
  doi: 10.1080/00268976900100941
– volume: 51
  start-page: 055102
  year: 2018
  ident: 2023081106112707800_c29
  article-title: Density-functional theory based on the electron distribution on the energy coordinate
  publication-title: J. Phys. B: At., Mol. Opt. Phys.
  doi: 10.1088/1361-6455/aaaa0d
– volume: 123
  start-page: 124504
  year: 2005
  ident: 2023081106112707800_c44
  article-title: A novel quantum mechanical/molecular mechanical approach to the free energy calculation for isomerization of glycine in aqueous solution
  publication-title: J. Chem. Phys.
  doi: 10.1063/1.2008234
– ident: 2023081106112707800_c57
– volume: 37
  start-page: 785
  year: 1988
  ident: 2023081106112707800_c49
  article-title: Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density
  publication-title: Phys. Rev. B
  doi: 10.1103/physrevb.37.785
– volume: 119
  start-page: 7964
  year: 2003
  ident: 2023081106112707800_c36
  article-title: Quantum mechanical/molecular mechanical studies of a novel reaction catalyzed by proton transfer in ambient and supercritical states of water
  publication-title: J. Chem. Phys.
  doi: 10.1063/1.1610440
– volume: 60
  start-page: 16350
  year: 1999
  ident: 2023081106112707800_c15
  article-title: Orbital-free kinetic-energy density functionals with a density-dependent kernel
  publication-title: Phys. Rev. B
  doi: 10.1103/physrevb.60.16350
– volume: 86
  start-page: 235109
  year: 2012
  ident: 2023081106112707800_c21
  article-title: Density-decomposed orbital-free density functional theory for covalently bonded molecules and materials
  publication-title: Phys. Rev. B
  doi: 10.1103/physrevb.86.235109
– volume: 123
  start-page: 7081
  year: 2019
  ident: 2023081106112707800_c28
  article-title: Role of the photosystem II as an environment in the oxidation free energy of the Mn cluster from S1 to S2
  publication-title: J. Phys. Chem. B
  doi: 10.1021/acs.jpcb.9b03831
– volume: 90
  start-page: 1007
  year: 1989
  ident: 2023081106112707800_c55
  article-title: Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen
  publication-title: J. Chem. Phys.
  doi: 10.1063/1.456153
– volume: 72
  start-page: 1240
  year: 1994
  ident: 2023081106112707800_c32
  article-title: Finite-difference pseudopotential method: Electronic structure calculations without a basis
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/physrevlett.72.1240
– volume: 28
  start-page: 3
  year: 1954
  ident: 2023081106112707800_c13
  article-title: On the properties of a gas of charged particles
  publication-title: K. Dan. Vidensk. Selsk.
– volume: 48
  start-page: 1425
  year: 1982
  ident: 2023081106112707800_c50
  article-title: Efficacious form for model pseudopotentials
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/physrevlett.48.1425
– volume-title: A Chemist’s Guide to Density Functional Theory
  year: 2001
  ident: 2023081106112707800_c3
– volume: 33
  start-page: 777
  year: 2018
  ident: 2023081106112707800_c8
  article-title: Orbital-free density functional theory for materials research
  publication-title: J. Mater. Res.
  doi: 10.1557/jmr.2017.462
– volume: 49
  start-page: 2421
  year: 1994
  ident: 2023081106112707800_c37
  article-title: Exchange-correlation potential with correct asymptotic behavior
  publication-title: Phys. Rev. A
  doi: 10.1103/physreva.49.2421
– volume: 91
  start-page: 6269
  year: 1987
  ident: 2023081106112707800_c53
  article-title: The missing term in effective pair potentials
  publication-title: J. Phys. Chem.
  doi: 10.1021/j100308a038
– volume: 105
  start-page: 2999
  year: 2005
  ident: 2023081106112707800_c56
  article-title: Quantum mechanical continuum solvation models
  publication-title: Chem. Rev.
  doi: 10.1021/cr9904009
– volume: 38
  start-page: 3098
  year: 1988
  ident: 2023081106112707800_c48
  article-title: Density-functional exchange-energy approximation with correct asymptotic behavior
  publication-title: Phys. Rev. A
  doi: 10.1103/physreva.38.3098
– volume: 100
  start-page: 041105(R)
  year: 2019
  ident: 2023081106112707800_c19
  article-title: Orbital-free density functional theory correctly models quantum dots when asymptotics, nonlocality, and nonhomogeneity are accounted for
  publication-title: Phys. Rev. B
  doi: 10.1103/physrevb.100.041105
– volume: 632
  start-page: 1
  year: 2003
  ident: 2023081106112707800_c25
  article-title: Combined QM/MM calculations in chemistry and biochemistry
  publication-title: J. Mol. Struct.: THEOCHEM
  doi: 10.1016/s0166-1280(03)00284-7
– volume: 50
  start-page: 11355
  year: 1994
  ident: 2023081106112707800_c33
  article-title: High-order finite-difference pseudopotential method: An application to diatomic molecules
  publication-title: Phys. Rev. B
  doi: 10.1103/physrevb.50.11355
– volume: 23
  start-page: 542
  year: 1927
  ident: 2023081106112707800_c9
  article-title: The calculation of atomic fields
  publication-title: Proc. Cambridge Philos. Soc.
  doi: 10.1017/s0305004100011683
– volume-title: Density-Functional Theory of Atoms and Molecules
  year: 1989
  ident: 2023081106112707800_c1
– volume: 122
  start-page: 184108
  year: 2005
  ident: 2023081106112707800_c41
  article-title: First principles local pseudopotential for silver: Towards orbital-free density-functional theory for transition metals
  publication-title: J. Chem. Phys.
  doi: 10.1063/1.1897379
– volume: 103
  start-page: 227
  year: 1976
  ident: 2023081106112707800_c23
  article-title: Theoretical studies of enzymic reactions: Dielectric, electrostatic and steric stabilization of the carbonium ion in the reaction of lysozyme
  publication-title: J. Mol. Biol.
  doi: 10.1016/0022-2836(76)90311-9
– volume: 81
  start-page: 045206
  year: 2010
  ident: 2023081106112707800_c16
  article-title: Nonlocal orbital-free kinetic energy density functional for semiconductors
  publication-title: Phys. Rev. B
  doi: 10.1103/physrevb.81.045206
– volume: 121
  start-page: 3989
  year: 2004
  ident: 2023081106112707800_c43
  article-title: A quantum chemical approach to the free energy calculations in condensed systems: The QM/MM method combined with the theory of energy representation
  publication-title: J. Chem. Phys.
  doi: 10.1063/1.1774981
– volume: 140
  start-page: 134111
  year: 2014
  ident: 2023081106112707800_c58
  article-title: Computation of the free energy due to electron density fluctuation of a solute in solution: A QM/MM method with perturbation approach combined with a theory of solutions
  publication-title: J. Chem. Phys.
  doi: 10.1063/1.4870037
– volume: 97
  start-page: 205137
  year: 2018
  ident: 2023081106112707800_c18
  article-title: Nonlocal kinetic energy functional from the jellium-with-gap model: Applications to orbital-free density functional theory
  publication-title: Phys. Rev. B
  doi: 10.1103/physrevb.97.205137
– volume: 105
  start-page: 4351
  year: 2001
  ident: 2023081106112707800_c35
  article-title: Real space ab initio molecular dynamics simulations for the reactions of OH radical/OH anion with formaldehyde
  publication-title: J. Phys. Chem. A
  doi: 10.1021/jp004348s
– volume: 136
  start-page: B864
  year: 1964
  ident: 2023081106112707800_c51
  article-title: Inhomogeneous electron gas
  publication-title: Phys. Rev.
  doi: 10.1103/physrev.136.b864
– volume: 49
  start-page: 1719
  year: 1968
  ident: 2023081106112707800_c39
  article-title: Force constants and dipole-moment derivative of molecules from perturbed Hartree–Fock calculations. I
  publication-title: J. Chem. Phys.
  doi: 10.1063/1.1670299
– volume-title: Recent Progress in Orbital: Free Density Functional Theory
  year: 2013
  ident: 2023081106112707800_c7
  doi: 10.1142/8633
SSID ssj0001724
Score 2.421576
Snippet Development of the electronic kinetic-energy density functional is a subject of major interest in theoretical physics and chemistry. In this work, the nonlocal...
SourceID proquest
pubmed
crossref
scitation
SourceType Aggregation Database
Index Database
Enrichment Source
Publisher
StartPage 014102
SubjectTerms Density functional theory
Electron gas
Functionals
Physics
Quantum mechanics
Quantum Theory
Reference systems
Response functions
Solutions
Theoretical physics
Water - chemistry
Title Development of nonlocal kinetic-energy density functional for the hybrid QM/MM interaction
URI http://dx.doi.org/10.1063/5.0128147
https://www.ncbi.nlm.nih.gov/pubmed/36610962
https://www.proquest.com/docview/2760279377
https://www.proquest.com/docview/2761980940
Volume 158
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1bb9MwFD4anWDbA4IxoGMgc3lAmsKSOHGdx2kDTYggJjpp4iXyLRoatFXpkODXc2zHSaoVBLxEVXwSu-dL7O845wLwghudSWF4pBWro8y6uUqeJBETaA8ZbeJM2A398j07OcvenufnXcE7F12ykK_Uz5VxJf-DKp5DXG2U7D8g294UT-BvxBePiDAe_wrjnsePc8iYTtzStH-J1BGFI-MD-7R1UreembiGNVt_wbnw4oeN2No_LXEQZemSR8x9qEOftXbxY465qpBkwG-LtKx8LC5tgNiFL4T9WRtkp_1dhZS6XQW_8hk_E8a8iEbM1_Jsp8qcX3sm_MTn_EXTlXMykiD8DzY7asoTn16zh83sqwOHMpv3vZmYlxNgh6YbsJ6iLZAOYP3wuHz3sV1wkYNlIWkUowdtT5twK1y7zDqumRJbsIGEw_s-9OjF-A7cbrRLDj3Id2HNTLZh4yiU49uGmx-8su_Bpx7sZFqTADtZhp00sJMOdoKwE4SdeNjJaXlQlqQH-g6cvXk9PjqJmhIZkaKcLiIupFAZV6M6FooWsRKC51onuAIba_tmRnIjay01mr21zQ2E9mRNdZGqQgmd0_swwFGah0BMwZRKpJaow0yaWjJWUM4lMlJb0UwN4WVQYRV0ZcuYfKmcHwOjVV41ih_Cs1Z05pOmrBLaCzhUzTv1rUpHLE5tykZsfto2o6btZywxMdMrJ5MU3OZ9HMIDj1_bS8B7CM9bQP80hBVS36fzTqKa6Xr3t708gs3u3dmDwWJ-ZR4jR13IJ80z-gsEEZIe
linkProvider EBSCOhost
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Development+of+nonlocal+kinetic-energy+density+functional+for+the+hybrid+QM%2FMM+interaction&rft.jtitle=The+Journal+of+chemical+physics&rft.au=Takahashi%2C+Hideaki&rft.date=2023-01-07&rft.eissn=1089-7690&rft.volume=158&rft.issue=1&rft.spage=014102&rft_id=info:doi/10.1063%2F5.0128147&rft_id=info%3Apmid%2F36610962&rft.externalDocID=36610962
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0021-9606&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0021-9606&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0021-9606&client=summon