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Quantum Chemistry and Spectroscopy: A Guided Inquiry

Quantum Chemistry and Spectroscopy: A Guided Inquiry

Author(s): The POGIL Project , Tricia D. Shepherd , Alexander Grushow

Edition: 1

Copyright: 2022

Pages: 262

Edition: 1

Copyright: 2022

Pages: 264

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Quantum Chemistry & Spectroscopy: A Guided Inquiry was developed to facilitate more student-centered classroom instruction of physical chemistry using Process Oriented Guided Inquiry Learning (POGIL). The activities guide students through a wide variety of topics found in a typical undergraduate quantum physical chemistry course. The text introduces quantum phenomena, presents the postulates of quantum mechanics, and then applies these postulates to model problems of increasing sophistication – the particle-on-a-line (in one and two dimensions), the harmonic oscillator, the rigid rotor, and the hydrogen atom. The course fundamentals culminate with the electronic structure of multielectron atoms, term symbols, and Slater determinants. In addition, the text allows instructors to incorporate advanced topics in symmetry, mathematical structure of quantum theory, and spectroscopy to suit their course either interspersed with the fundamentals or at the end of the course. The guided inquiry activities pair well with a variety of physical chemistry texts and are appropriate for quantum first and thermodynamics first courses.

If you are interested in having instructor resources please reach out to POGILKHrep@kendallhunt.com.

 

Kendall Hunt is excited to partner with The POGIL Project to publish materials in a variety of disciplines that are designed for use in active learning, student-centered classrooms.

POGIL is an acronym for Process Oriented Guided Inquiry Learning. Because POGIL is a student-centered instructional approach, in a typical POGIL classroom or laboratory, students work in small teams with the instructor acting as a facilitator. The student teams use specially designed activities that generally follow a learning cycle paradigm. These activities are designed to have three key characteristics:

  • They are designed for use with self-managed teams that employ the instructor as a facilitator of learning rather than a source of information.
  • They guide students through an exploration to construct understanding.
  • They use discipline content to facilitate the development of important process skills, including higher-level thinking and the ability to learn and to apply knowledge in new contexts. 

For more information, please visit www.pogil.org

Front Matter

Introduction 1: Essential Classical Mechanics

Introduction 2: Blackbody Radiation

Introduction 3: Photoelectric Effect

Introduction 4: Introduction to Spectroscopy

Introduction 5: The Energies of Molecules

Introduction 6: Bohr Model

Fundamental 1: The Postulates of Quantum Mechanics

Extension 1: Introduction to Operators and Eigenvalue Equations

Fundamental 2: The Particle-on-a-Line Model

Fundamental 3: The Language of Quantum Mechanics

Extension 3.1: Hermitian Operators

Extension 3.2: The Heisenberg Uncertainty Principle

Fundamental 4: Molecular Translation

Extension 4: Separation of Variables

Spectroscopy 4: Population of Quantum States

Fundamental 5: The Particle-on-a-Spring Model

Extension 5.1: Two-Particle Systems

Extension 5.2: Even and Odd Functions

Fundamental 6: Molecular Vibration

Spectroscopy 6.1: Vibrational Spectroscopy

Spectroscopy 6.2: Vibrational Constants

Fundamental 7: The Particle-on-a-Ring Model

Fundamental 8: Molecular Rotation

Spectroscopy 8.1: Rotational Spectroscopy

Spectroscopy 8.2: Vibrational Rotational Spectroscopy

Fundamental 9: The Hydrogen Atom

Fundamental 10: Hydrogen Radial Functions

Fundamental 11: Hydrogen Orbitals

Fundamental 12: Multielectron Atoms

Fundamental 13: Electron Configurations

Fundamental 14: Electron Spin

Extension 14: Slater Determinants

Fundamental 15: Term Symbols

Spectroscopy 15: Electronic Spectroscopy I: Atoms

Fundamental 16: Born Oppenheimer Approximation

Extension 16: Molecular Energy Integrals

Fundamental 17: Linear Combinations of Atomic

Fundamental 18: Diatomic Molecules

Spectroscopy 18: Electronic Spectroscopy II: Molecules

Extension 18: Huckel Theory

Symmetry 1: Group Theory

Symmetry 2: Symmetry Adapted Molecular Orbitals

Extension Sy2: Ethylene Molecular

Symmetry 3: The Symmetry of Vibrational Modes

Appendix

The POGIL Project

Kendall Hunt is excited to partner with The POGIL Project to publish materials in a variety of disciplines that are designed for use in active learning, student-centered classrooms.

POGIL is an acronym for Process Oriented Guided Inquiry Learning. Because POGIL is a student-centered instructional approach, in a typical POGIL classroom or laboratory, students work in small teams with the instructor acting as a facilitator. The student teams use specially designed activities that generally follow a learning cycle paradigm. These activities are designed to have three key characteristics:

  • They are designed for use with self-managed teams that employ the instructor as a facilitator of learning rather than a source of information.
  • They guide students through an exploration to construct understanding.
  • They use discipline content to facilitate the development of important process skills, including higher-level thinking and the ability to learn and to apply knowledge in new contexts. 

For more information, please visit www.pogil.org

Tricia D. Shepherd
Tricia Shepherd received a B.S. and M.S. in chemistry from the University of Idaho and a Ph.D. in theoretical physical chemistry from Georgia Institute of Technology.  Her first academic position was at Westminster College in Salt Lake City, where she rose through the ranks to Professor. She then moved to Austin, TX where she was Professor and Chair of the Department of Chemistry at St. Edward’s University until 2018. Dr. Shepherd has most recently taught physical chemistry courses at Moravian University, Franklin & Marshall College, and Tuskegee University. Within The POGIL Project, she has served as a regional coordinator, facilitated workshops, and contributed to the POGIL Activity Clearinghouse (PAC) in support of activity development and dissemination. In 2016, she received the POGIL Early Achievement (PEACH) Award.
Alexander Grushow
Alex Grushow is currently a Professor of Chemistry at Rider University and Chair of the Department of Chemistry and Biochemistry. Since his days as an undergraduate, he has been fascinated by intermolecular forces and has published papers on molecules held together by hydrogen bonding, van der Waals forces, dative bonding and ion-molecule interactions. He has worked as a Program Director for the National Science Foundation and has worked in chemistry examination development for both ETS and the ACS Examinations Institute.  He has been heavily involved in innovating the teaching of physical chemistry, starting in graduate school. He was a member of the Physical Chemistry Online Consortium (PCOL) and an early adopter of POGIL.  A former member of The POGIL Project Steering Committee, he has also been involved in the POGIL-PCL Project and is a co-host of the POGIL Podcast.

Quantum Chemistry & Spectroscopy: A Guided Inquiry was developed to facilitate more student-centered classroom instruction of physical chemistry using Process Oriented Guided Inquiry Learning (POGIL). The activities guide students through a wide variety of topics found in a typical undergraduate quantum physical chemistry course. The text introduces quantum phenomena, presents the postulates of quantum mechanics, and then applies these postulates to model problems of increasing sophistication – the particle-on-a-line (in one and two dimensions), the harmonic oscillator, the rigid rotor, and the hydrogen atom. The course fundamentals culminate with the electronic structure of multielectron atoms, term symbols, and Slater determinants. In addition, the text allows instructors to incorporate advanced topics in symmetry, mathematical structure of quantum theory, and spectroscopy to suit their course either interspersed with the fundamentals or at the end of the course. The guided inquiry activities pair well with a variety of physical chemistry texts and are appropriate for quantum first and thermodynamics first courses.

If you are interested in having instructor resources please reach out to POGILKHrep@kendallhunt.com.

 

Kendall Hunt is excited to partner with The POGIL Project to publish materials in a variety of disciplines that are designed for use in active learning, student-centered classrooms.

POGIL is an acronym for Process Oriented Guided Inquiry Learning. Because POGIL is a student-centered instructional approach, in a typical POGIL classroom or laboratory, students work in small teams with the instructor acting as a facilitator. The student teams use specially designed activities that generally follow a learning cycle paradigm. These activities are designed to have three key characteristics:

  • They are designed for use with self-managed teams that employ the instructor as a facilitator of learning rather than a source of information.
  • They guide students through an exploration to construct understanding.
  • They use discipline content to facilitate the development of important process skills, including higher-level thinking and the ability to learn and to apply knowledge in new contexts. 

For more information, please visit www.pogil.org

Front Matter

Introduction 1: Essential Classical Mechanics

Introduction 2: Blackbody Radiation

Introduction 3: Photoelectric Effect

Introduction 4: Introduction to Spectroscopy

Introduction 5: The Energies of Molecules

Introduction 6: Bohr Model

Fundamental 1: The Postulates of Quantum Mechanics

Extension 1: Introduction to Operators and Eigenvalue Equations

Fundamental 2: The Particle-on-a-Line Model

Fundamental 3: The Language of Quantum Mechanics

Extension 3.1: Hermitian Operators

Extension 3.2: The Heisenberg Uncertainty Principle

Fundamental 4: Molecular Translation

Extension 4: Separation of Variables

Spectroscopy 4: Population of Quantum States

Fundamental 5: The Particle-on-a-Spring Model

Extension 5.1: Two-Particle Systems

Extension 5.2: Even and Odd Functions

Fundamental 6: Molecular Vibration

Spectroscopy 6.1: Vibrational Spectroscopy

Spectroscopy 6.2: Vibrational Constants

Fundamental 7: The Particle-on-a-Ring Model

Fundamental 8: Molecular Rotation

Spectroscopy 8.1: Rotational Spectroscopy

Spectroscopy 8.2: Vibrational Rotational Spectroscopy

Fundamental 9: The Hydrogen Atom

Fundamental 10: Hydrogen Radial Functions

Fundamental 11: Hydrogen Orbitals

Fundamental 12: Multielectron Atoms

Fundamental 13: Electron Configurations

Fundamental 14: Electron Spin

Extension 14: Slater Determinants

Fundamental 15: Term Symbols

Spectroscopy 15: Electronic Spectroscopy I: Atoms

Fundamental 16: Born Oppenheimer Approximation

Extension 16: Molecular Energy Integrals

Fundamental 17: Linear Combinations of Atomic

Fundamental 18: Diatomic Molecules

Spectroscopy 18: Electronic Spectroscopy II: Molecules

Extension 18: Huckel Theory

Symmetry 1: Group Theory

Symmetry 2: Symmetry Adapted Molecular Orbitals

Extension Sy2: Ethylene Molecular

Symmetry 3: The Symmetry of Vibrational Modes

Appendix

The POGIL Project
The POGIL Project

Kendall Hunt is excited to partner with The POGIL Project to publish materials in a variety of disciplines that are designed for use in active learning, student-centered classrooms.

POGIL is an acronym for Process Oriented Guided Inquiry Learning. Because POGIL is a student-centered instructional approach, in a typical POGIL classroom or laboratory, students work in small teams with the instructor acting as a facilitator. The student teams use specially designed activities that generally follow a learning cycle paradigm. These activities are designed to have three key characteristics:

  • They are designed for use with self-managed teams that employ the instructor as a facilitator of learning rather than a source of information.
  • They guide students through an exploration to construct understanding.
  • They use discipline content to facilitate the development of important process skills, including higher-level thinking and the ability to learn and to apply knowledge in new contexts. 

For more information, please visit www.pogil.org

Tricia D. Shepherd
Tricia D. Shepherd
Tricia Shepherd received a B.S. and M.S. in chemistry from the University of Idaho and a Ph.D. in theoretical physical chemistry from Georgia Institute of Technology.  Her first academic position was at Westminster College in Salt Lake City, where she rose through the ranks to Professor. She then moved to Austin, TX where she was Professor and Chair of the Department of Chemistry at St. Edward’s University until 2018. Dr. Shepherd has most recently taught physical chemistry courses at Moravian University, Franklin & Marshall College, and Tuskegee University. Within The POGIL Project, she has served as a regional coordinator, facilitated workshops, and contributed to the POGIL Activity Clearinghouse (PAC) in support of activity development and dissemination. In 2016, she received the POGIL Early Achievement (PEACH) Award.
Alexander Grushow
Alexander Grushow
Alex Grushow is currently a Professor of Chemistry at Rider University and Chair of the Department of Chemistry and Biochemistry. Since his days as an undergraduate, he has been fascinated by intermolecular forces and has published papers on molecules held together by hydrogen bonding, van der Waals forces, dative bonding and ion-molecule interactions. He has worked as a Program Director for the National Science Foundation and has worked in chemistry examination development for both ETS and the ACS Examinations Institute.  He has been heavily involved in innovating the teaching of physical chemistry, starting in graduate school. He was a member of the Physical Chemistry Online Consortium (PCOL) and an early adopter of POGIL.  A former member of The POGIL Project Steering Committee, he has also been involved in the POGIL-PCL Project and is a co-host of the POGIL Podcast.