Introduction to Integral Calculations
Justin T. Fermann

• Contents
• 1 Elementary Basis Function Analysis
  • 1.1 Normalization
  • 1.2 The Gaussian Product Theorem
  • 1.3 Products of Contracted Cartesian Gaussians
• 2 S -- Overlap Integrals
  • 2.1 Overlap of primitive 1s functions on different centers
  • 2.2 Overlap of generally contracted 1s functions
  • 2.3 Overlap of primitive arbitrary angular momentum functions
• 3 --Kinetic Energy Integrals
  • 3.1
  • 3.2 Asymmetric form of
  • 3.3 Symmetric form of
• 4 -- Nuclear Attraction Integrals
  • 4.1 The need for a transformation
  • 4.2 Laplace transform
  • 4.3 Fourier transform
• 5 Electron Repulsion Integrals