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Extension of the Many-Body Expansion (MBE) to Periodic Systems: Developing Tools to Analyze and Improve Models of Intermolecular Interactions
Extension of the Many-Body Expansion (MBE) to Periodic Systems: Developing Tools to Analyz...
Extension of the Many-Body Expansion (MBE) to Periodic Systems: Developing Tools to Analyze and Improve Models of Intermolecular Interactions

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20250211151939
ISBN  
9798383225677
DDC  
540
저자명  
Herman, Kristina.
서명/저자  
Extension of the Many-Body Expansion (MBE) to Periodic Systems: Developing Tools to Analyze and Improve Models of Intermolecular Interactions
발행사항  
[Sl] : University of Washington, 2024
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2024
형태사항  
161 p
주기사항  
Source: Dissertations Abstracts International, Volume: 86-01, Section: B.
주기사항  
Advisor: Xantheas, Sotiris S.
학위논문주기  
Thesis (Ph.D.)--University of Washington, 2024.
초록/해제  
요약Intermolecular interactions govern the structure and dynamics of molecular systems, which collectively give rise to their physical properties across scales from the nano- to the meso- and the macro-scale. These collective properties are often sensitive to the level of theoretical description manifested either by the accuracy of a classical interaction potential or the level of electronic structure theory used to describe the fundamental interactions at the molecular level. Due to the prohibitive scaling of electronic structure calculations with the system size (oftentimes O(N6)-O(N7) for the "gold-standard" coupled cluster methods, where N is the number of basis functions), we must seek alternative ways of evaluating the properties of these complex molecular systems without compromising accuracy. The many-body expansion (MBE), a fragmentation approach, partitions the full system into a set of smaller subsystems and combinatorically represents the properties of the full system (i.e., binding energy, forces, dipole moment, etc.). This approach offers a powerful alternative to address the "scaling curse" of accurate electronic structure methods with system size. The following will highlight efforts to unravel the nature of many-body effects in aqueous ionic systems, develop transferable classical models to accurately describe those intermolecular interactions at a reduced cost, and extend the many-body expansion (MBE) formalism to periodic systems.The MBE was applied to investigate the influence of "structure-making" and "structure-breaking ions in the Hofmeister series on the energetics of aqueous cations and anions (SO42-, CIO4-, Ca2+, NH4+). Significant differences in the many-body terms were identified for the structure-making ions, which exhibit the strongest ion-water and the weakest water-water interactions. Conversely, the structure-breaking ions exhibit weaker ion-water interactions and stronger water-water interactions, demonstrating the intricate balance of interactions governing the energetics of these systems. The trend demonstrating the anti- correlation between the ion-water and water-water interactions persisted across 13 different ion-water systems and further quantified the role of ions (and the identity of said ion) in affecting the water-water interactions.Having established the strong many-body character in ion-water systems, the next step was to develop interaction potentials to describe many-body effects in aqueous ionic systems. A classical induction model using a detailed description of the field due to a charge distribution using distributed multipoles and the response of the charge distribution to an external field using distributed polarizabilities was developed to model 3 and 4-body inter- actions. The induction energies were benchmarked against 3,120 ab initio 3-body energies for 13 different ion-water-water and water-water-water systems. The induction model was subsequently improved by developing and implementing geometry-dependent distributed multipole and polarizability surfaces. For water, the induction model augmented with 3- body dispersion was compared against results from an existing database of 43,844 3-body and 3,603 4-body CCSD(T) energies. The model was found to reproduce the 3- and 4-body interactions with mean absolute errors of 0.054 and 0.026 kcal/mol, respectively. These findings suggest that the developed classical model with zero adjustable parameters yields an accuracy that is on-par with models fit to tens of tens of thousands of CCSD(T) energies using thousands of adjustable parameters. This physics-based approach provides a simple, fast, and most importantly transferable way of modeling many-body effects in aqueous molecular systems, eliminating the need to perform tens of thousands of expensive electronic structure calculations for each change in solvent or solute identity.A novel approach was developed to extend the MBE to periodic systems and subsequently used to decompose the lattice energies of seven polymorphs of ice into their constituent many-body terms. The sum of the many-body terms (1-body through 4-body) was shown to match the value obtained with periodic boundary conditions using the minimum image convention and an Ewald summation. A resulting three-way relationship was established, demonstrating the correlation between the many-body terms, the local tetrahedral order, and the density of the ice polymorphs. Specifically, ice polymorphs existing at low pressures were shown to have strong cooperative effects, near perfect tetrahedral order, and 5- and 6-membered hydrogen bond cycles. Conversely, high pressure ice polymorphs exhibited weak cooperative effects, low tetrahedral order, and a mixture of hydrogen bond cycle sizes. This lends valuable insight into the structure-energy relationship that governs the complex phase diagram of ice.Besides its utility of gaining insight into the nature of intermolecular interactions, the MBE for periodic systems is currently being used to circumvent the poor scaling of electronic structure methods by computing 2- and 3-body corrections to the correlation energy. This approach is trivially parallelizable and is founded on the preference of performing several CCSD(T) calculations for much smaller systems (dimers and trimers) therefore reducing the size (N) and corresponding cost (N7) of the requisite CCSD(T) calculations.
일반주제명  
Chemistry
일반주제명  
Physical chemistry
일반주제명  
Computational physics
키워드  
Intermolecular interactions
키워드  
Many-body expansion
키워드  
Ice polymorphs
키워드  
Low tetrahedral order
기타저자  
University of Washington Chemistry
기본자료저록  
Dissertations Abstracts International. 86-01B.
전자적 위치 및 접속  
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MARC

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■035    ▼a(MiAaPQ)AAI31302003
■040    ▼aMiAaPQ▼cMiAaPQ
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■1001  ▼aHerman,  Kristina.
■24510▼aExtension  of  the  Many-Body  Expansion  (MBE)  to  Periodic  Systems:  Developing  Tools  to  Analyze  and  Improve  Models  of  Intermolecular  Interactions
■260    ▼a[Sl]▼bUniversity  of  Washington▼c2024
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2024
■300    ▼a161  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  86-01,  Section:  B.
■500    ▼aAdvisor:  Xantheas,  Sotiris  S.
■5021  ▼aThesis  (Ph.D.)--University  of  Washington,  2024.
■520    ▼aIntermolecular  interactions  govern  the  structure  and  dynamics  of  molecular  systems,  which  collectively  give  rise  to  their  physical  properties  across  scales  from  the  nano-  to  the  meso-  and  the  macro-scale.  These  collective  properties  are  often  sensitive  to  the  level  of  theoretical  description  manifested  either  by  the  accuracy  of  a  classical  interaction  potential  or  the  level  of  electronic  structure  theory  used  to  describe  the  fundamental  interactions  at  the  molecular  level.  Due  to  the  prohibitive  scaling  of  electronic  structure  calculations  with  the  system  size  (oftentimes  O(N6)-O(N7)  for  the  "gold-standard"  coupled  cluster  methods,  where  N  is  the  number  of  basis  functions),  we  must  seek  alternative  ways  of  evaluating  the  properties  of  these  complex  molecular  systems  without  compromising  accuracy.  The  many-body  expansion  (MBE),  a  fragmentation  approach,  partitions  the  full  system  into  a  set  of  smaller  subsystems  and  combinatorically  represents  the  properties  of  the  full  system  (i.e.,  binding  energy,  forces,  dipole  moment,  etc.).  This  approach  offers  a  powerful  alternative  to  address  the  "scaling  curse"  of  accurate  electronic  structure  methods  with  system  size.  The  following  will  highlight  efforts  to  unravel  the  nature  of  many-body  effects  in  aqueous  ionic  systems,  develop  transferable  classical  models  to  accurately  describe  those  intermolecular  interactions  at  a  reduced  cost,  and  extend  the  many-body  expansion  (MBE)  formalism  to  periodic  systems.The  MBE  was  applied  to  investigate  the  influence  of  "structure-making"  and  "structure-breaking  ions  in  the  Hofmeister  series  on  the  energetics  of  aqueous  cations  and  anions  (SO42-,  CIO4-,  Ca2+,  NH4+).  Significant  differences  in  the  many-body  terms  were  identified  for  the  structure-making  ions,  which  exhibit  the  strongest  ion-water  and  the  weakest  water-water  interactions.  Conversely,  the  structure-breaking  ions  exhibit  weaker  ion-water  interactions  and  stronger  water-water  interactions,  demonstrating  the  intricate  balance  of  interactions  governing  the  energetics  of  these  systems.  The  trend  demonstrating  the  anti-  correlation  between  the  ion-water  and  water-water  interactions  persisted  across  13  different  ion-water  systems  and  further  quantified  the  role  of  ions  (and  the  identity  of  said  ion)  in  affecting  the  water-water  interactions.Having  established  the  strong  many-body  character  in  ion-water  systems,  the  next  step  was  to  develop  interaction  potentials  to  describe  many-body  effects  in  aqueous  ionic  systems.  A  classical  induction  model  using  a  detailed  description  of  the  field  due  to  a  charge  distribution  using  distributed  multipoles  and  the  response  of  the  charge  distribution  to  an  external  field  using  distributed  polarizabilities  was  developed  to  model  3  and  4-body  inter-  actions.  The  induction  energies  were  benchmarked  against  3,120  ab  initio  3-body  energies  for  13  different  ion-water-water  and  water-water-water  systems.  The  induction  model  was  subsequently  improved  by  developing  and  implementing  geometry-dependent  distributed  multipole  and  polarizability  surfaces.  For  water,  the  induction  model  augmented  with  3-  body  dispersion  was  compared  against  results  from  an  existing  database  of  43,844  3-body  and  3,603  4-body  CCSD(T)  energies.  The  model  was  found  to  reproduce  the  3-  and  4-body  interactions  with  mean  absolute  errors  of  0.054  and  0.026  kcal/mol,  respectively.  These  findings  suggest  that  the  developed  classical  model  with  zero  adjustable  parameters  yields  an  accuracy  that  is  on-par  with  models  fit  to  tens  of  tens  of  thousands  of  CCSD(T)  energies  using  thousands  of  adjustable  parameters.  This  physics-based  approach  provides  a  simple,  fast,  and  most  importantly  transferable  way  of  modeling  many-body  effects  in  aqueous  molecular  systems,  eliminating  the  need  to  perform  tens  of  thousands  of  expensive  electronic  structure  calculations  for  each  change  in  solvent  or  solute  identity.A  novel  approach  was  developed  to  extend  the  MBE  to  periodic  systems  and  subsequently  used  to  decompose  the  lattice  energies  of  seven  polymorphs  of  ice  into  their  constituent  many-body  terms.  The  sum  of  the  many-body  terms  (1-body  through  4-body)  was  shown  to  match  the  value  obtained  with  periodic  boundary  conditions  using  the  minimum  image  convention  and  an  Ewald  summation.  A  resulting  three-way  relationship  was  established,  demonstrating  the  correlation  between  the  many-body  terms,  the  local  tetrahedral  order,  and  the  density  of  the  ice  polymorphs.  Specifically,  ice  polymorphs  existing  at  low  pressures  were  shown  to  have  strong  cooperative  effects,  near  perfect  tetrahedral  order,  and  5-  and  6-membered  hydrogen  bond  cycles.  Conversely,  high  pressure  ice  polymorphs  exhibited  weak  cooperative  effects,  low  tetrahedral  order,  and  a  mixture  of  hydrogen  bond  cycle  sizes.  This  lends  valuable  insight  into  the  structure-energy  relationship  that  governs  the  complex  phase  diagram  of  ice.Besides  its  utility  of  gaining  insight  into  the  nature  of  intermolecular  interactions,  the  MBE  for  periodic  systems  is  currently  being  used  to  circumvent  the  poor  scaling  of  electronic  structure  methods  by  computing  2-  and  3-body  corrections  to  the  correlation  energy.  This  approach  is  trivially  parallelizable  and  is  founded  on  the  preference  of  performing  several  CCSD(T)  calculations  for  much  smaller  systems  (dimers  and  trimers)  therefore  reducing  the  size  (N)  and  corresponding  cost  (N7)  of  the  requisite  CCSD(T)  calculations.
■590    ▼aSchool  code:  0250.
■650  4▼aChemistry
■650  4▼aPhysical  chemistry
■650  4▼aComputational  physics
■653    ▼aIntermolecular  interactions
■653    ▼aMany-body  expansion
■653    ▼aIce  polymorphs
■653    ▼aLow  tetrahedral  order
■690    ▼a0485
■690    ▼a0216
■690    ▼a0494
■71020▼aUniversity  of  Washington▼bChemistry.
■7730  ▼tDissertations  Abstracts  International▼g86-01B.
■790    ▼a0250
■791    ▼aPh.D.
■792    ▼a2024
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17162158▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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