Many electron atom - Electronic Structures of Many Electron...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Electronic Structures of Many Electron Atoms and Many-Electron Atoms and Periodic Trends of Elements General Chemistry General Chemistry Dr. Michael W.-Y. Yu ABCT, PolyU ABCT, PolyU Outline z Wavefunctions of Many-Electron Atoms Shielding Effect and Effective Nuclear Charge z Shielding Effect and Effective Nuclear Charge z Aufbau (Building-up ) Principle Pauli Exclusion Principle z Pauli Exclusion Principle z Hund’s Rule z Electronic Configuration z Periodic Trends of Elements z Atomic Radii z Ionization Energy z Electron Affinity Petrucci, General Chemistry Principles & Modern Applications , 9th edition, Pearson International Edition, 2007. Hydrogen Atom z Motion of one electron bound by nuclear charge z Wavefunctions, exact solutions of the Schrödinger wave equation z Atomic orbitals are solutions for motion of a single electron in an atom !!! z Energies considered: kinetic energy of the electron and the nucleus electron coulombic attraction the nucleus-electron coulombic attraction Wavefunctions for Many-Electron Atoms z Many-electron atoms, Z > 1 ( Z = atomic number) z For Z = 2, He z Nuclear charge = +2, number of electron = 2 Two sets of Cartesian coordinates: ) z Two sets of Cartesian coordinates: ( x 1 , y 1 , z 1 ) and ( x 2 , y 2 , z 2 ) for two electrons z Schrödinger equations for ψ ( x 1 , y 1 , z 1 , x 2 , y 2 , z 2 ) z Exact solutions for NOT possible Orbital e 2- Approximation e 1- r 1 r 2 r 12 He nucleus +2e ¡ He: two-electron system ¡ Each electron attracted by +2 nuclear charge Potential energy ¡ Electron-electron repulsion z Potential energy V = − 2e 2 / 4 πε r 1 – 2e 2 / 4 πε r 2 + e 2 / 4 πε r 12 z Based on the exact solutions of the Schrödinger attraction attraction repulsion equations for hydrogen atom (one-electron system) z Then, determine the effects of increased nuclear charge and electron electron repulsion...
View Full Document

Page1 / 11

Many electron atom - Electronic Structures of Many Electron...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online