Ch12 - Ch 12 Continued 15:25 12.5 The Quantum Mechanical...

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Ch. 12 Continued… 15:25 12.5  The Quantum Mechanical Description of the Atom The approach developed by Brogile and Schrodinger became known as wave  mechanics o commonly, quantum mechanics. Schrodinger’s equation H Ψ =E Ψ o How to calculate wave functions for electrons. Where  Ψ , called the wave function. .  It is a mathematical description of the  motion of an electron in terms of time and position.   What are wavefunctions?  Ψ     Ψ :  a function of the coordinates x,y,z of electron’s position in three  dimensional space;  gives no real information about movement of electron one wavefunction = one solution to Schrodinger’s equation = one orbital     Ψ∧2  :  probability of finding a particle in a specific place. H is an operator (the Hamiltonian) that “extracts” the total energy E (the sum 
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