Development of non-born-Oppenheimer methods for ground and excited state molecular properties

Culpitt, Tanner P.

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https://hdl.handle.net/2142/106433 Copy

Description

Title

Development of non-born-Oppenheimer methods for ground and excited state molecular properties

Author(s)

Culpitt, Tanner P.

Issue Date

2019-10-17

Director of Research (if dissertation) or Advisor (if thesis)

Hammes-Schiffer, Sharon

Doctoral Committee Chair(s)

Makri, Nancy

Committee Member(s)

• Vura-Weis, Joshua
• Wagner, Lucas

Department of Study

Chemistry

Discipline

Chemistry

Degree Granting Institution

University of Illinois at Urbana-Champaign

Degree Name

Ph.D.

Degree Level

Dissertation

Keyword(s)

• electronic structure
• non-Born-Oppenheimer
• DFT
• TDDFT
• Wave Function

Abstract

The nuclear-electronic orbital (NEO) method is a multicomponent approach that allows the quantum mechanical treatment of electrons and specified protons on the same quantum mechanical level. NEO does not make the Born-Oppenheimber approximation between electrons and select protons, and therefore has great potential in applications to non-Born-Oppenheimer processes such as proton-coupled electron transfer (PCET). Additionally, NEO can also capture nuclear quantum effects such as zero-point energy and proton delocalization in a direct and efficient manner. This dissertation describes the development of NEO methods for calculating both ground and excited state molecular properties. For the ground state, a general multicomponent embedding scheme is developed and tested within the NEO framework to obtain nuclear densities. Machinery is also presented for identifying the character and stability of NEO self-consistent field (SCF) solutions, allowing the differentiation between minima and saddle points. For excited states, the linear response multicomponent time-dependent density functional theory (TDDFT) is derived and implemented within the NEO framework. The results for nuclear vibrational excitations of interest corresponding to single or multiple protons calculated with NEO-TDDFT are accurate when the method is used in conjunction with large nuclear and electronic basis sets. Lastly, a scheme is presented for coupling proton vibrational excitation energies calculated with NEO-TDDFT to the normal modes associated with the other nuclei. This scheme, denoted NEO-DFT(V), thereby allows for full molecular vibrational frequencies to be calculated. These NEO methods provide the foundation for a wide range of applications, especially those involving non-Born-Oppenheimber processes or nuclear quantum effects.

Graduation Semester

2019-12

Type of Resource

text

Permalink

http://hdl.handle.net/2142/106433

Copyright and License Information

Copyright 2019 Tanner Culpitt

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