Sept_12 - Quantum Numbers Principal Quantum Number: n...

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Quantum Numbers Principal Quantum Number : n related to the size and energy of the orbital allowed values of n are positive integers > 0 n = 1,2,3,4… Magnetic Quantum Number : m l related to the direction of the orbital allowed values are integers from - l to + l m l = - l , - l + 1, - l +2,…0, 1, 2,… l - 1, l Orbital Angular Momentum Quantum Number : l related to the shape of the orbital allowed values are positive integers < n l = 0(s),1(p),2(d),3(f),… n -1
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To designate the s orbital in the first principal shell: 1s To designate the p orbitals in the second principal shell: 2p m l = 0 m l = -1,0,1 m l =-2,-1,0,1,2
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Hydrogen Orbitals Orbit als are wave functions The square of the wave function 2 , is a three- dimensional probability distribution for electrons • Orbitals have nodes and exhibit phase behavior just like other waves. The function Ψ ( r, θ,φ29 can be separated into two factors R( r ) and Y (θ,φ ) Normally we depict only the R( r ) or Y (θ,φ ) parts in orbital graphs
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Sept_12 - Quantum Numbers Principal Quantum Number: n...

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