Atomic Theory Lecture 3 PDF

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ProficientRapture7037

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Robert Gordon University

Dr Alberto Di Salvo

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atomic theory quantum numbers orbitals chemistry

Summary

This lecture notes document provides an overview of atomic theory, focusing on quantum numbers and atomic orbitals. It includes illustrations of s, p, d, and f orbitals and their shapes, along with examples for a better understanding.

Full Transcript

PL1001 Pharmaceutical Chemistry ATOMIC THEORY Lecture 3 Dr Alberto Di Salvo The fourth quantum number: Electron Spin ms = +1/2 (spin up) or -1/2 (spin down) Spin is a fundamental property of electrons, like its charge and mass....

PL1001 Pharmaceutical Chemistry ATOMIC THEORY Lecture 3 Dr Alberto Di Salvo The fourth quantum number: Electron Spin ms = +1/2 (spin up) or -1/2 (spin down) Spin is a fundamental property of electrons, like its charge and mass. (spin up) (spin down) Sizes, Shapes, and orientations of orbitals n determines size l determines shape ml determines orientation size shape orientation The energy of an orbital of a hydrogen atom or any one electron atom only depends on the value of n shell = all orbitals with the same value of n subshell = all orbitals with the same value of n and l an orbital is fully defined by three quantum numbers, n, l, and ml Each shell of QN = n contains n subshells n = 1, one subshell n= 2, two subshells, etc Each subshell of QN = l, contains 2l + 1 orbitals l = 0, 2(0) + 1 = 1 l = 1, 2(1) + 1 = 3 Shapes of s, p and d orbitals E Shapes of f orbitals s orbitals Shape of s orbitals Nodes in s orbitals: 1s no nodes, 2s one node, 3s two nodes p orbitals Shape of p orbitals Nodes in 2p orbitals: angular node that passes through the nucleus Orbital is “dumb bell” shaped Important: the + and - that is shown for a p orbital refers to the mathematical sign of the wavefunction, not electric charge! d orbitals Shape of d orbitals Nodes in 3d orbitals: two nodes that passes through the nucleus Orbital is “four leaf clover” shaped d orbitals are important for metals f orbitals Shell Subshell Orbital n=4 l=3 f +3 +2 +1 0 -1 -2 -3 4f Shape of f orbitals One of 7 possible f orbitals. All have 3 nodes that pass through the nucleus Atomic orbitals and the periodic table

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