A Priori Calculations of Thermodynamic Functions

Abstract

A method for calculating a priori thermodynamic functions (specific heat, entropy, free energy, and enthalpy) from a combination of single determinant ab initio calculations employing the 4-21NO basis and experimental data is developed and validated. An estimate of the re geometry is determined by empirically correcting the optimized 4-21NO ab initio geometry with formulae derived from carefully selected experimental re rs and rg geometries for errors caused by basis set truncation and neglect of electron correlation. The r(e) geometry is then used as the reference geometry for the calculation of the ab initio force field by the finite difference method. The Scaled Quantum Mechanical force field is calculated from the ab initio force field using a standard set of scale factors. Fundamental vibration frequencies derived from Scaled Quantum Mechanical force field usually agrees to within 15 cm-1 of the corresponding experimental fundamental vibration frequencies. Rotational constants derived from the r(e) geometry, Scaled Quantum Mechanical fundamental vibration frequencies, and molecular weight are used as inputs for calculating thermodynamic functions via standard statistical mechanic methods, invoking the Born-Oppenheimer and rigid rotor harmonic oscillator approximations. The heat of formation at O K, EO, is calculated either via a method based on atomic equivalents of a method based on isodesmic reactions.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1991
Accession Number
ADA245055

Entities

People

  • Floyd R. Cordell

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Alkanes
  • Alkenes
  • Chemical Reactions
  • Chemical Synthesis
  • Chemistry
  • Crystal Structure
  • First Principles Calculations
  • Heat Of Reaction
  • Nitrogen Compounds
  • Nuclear Energy
  • Nuclear Energy Levels
  • Organic Chemistry
  • Statistical Mechanics

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Fluid Dynamics.
  • Molecular Photonics/Laser Physics

Technology Areas

  • Microelectronics
  • Microelectronics - Microelectromechanical Systems
  • Quantum Computing