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The Modern Atomic
Model
Erwin Schrödinger
•1926
•Created a math formula to explain how emoved in systems with more than 1 e-.
(Schrödinger Equation)
•E- exist in orbitals of probability.
Quantum Mechanical Model (e- cloud model)
Hierarchy of the Atom
Quantum Numbers
•Quantum numbers describe the probable location of ein atoms.
•3,1,0,+½
•‘principal quantum number’ (n) → The energy levels in
the QM model are labeled by the (n). [n= 1, 2, 3, 4, ….]
•n ≠ 0 → electrons do not exist in the nucleus
QM Model – Sublevels
• The secondary quantum # ‘L’ (l)describes the shape of
the sublevel.
• l=0
• l=1
• l=2
• l=3
→
→
→
→
s sublevel (spherical)
p sublevel (dumbbell shaped)
d sublevel (clover shaped)
f sublevel (complex shape)
•Range: l = 0…(n-1)
3,1,0, +½
Magnetic Quantum Number (ml)
•The 3rd quantum number is represented (ml).
•This number divides the sublevels into their
individual orbitals which hold electrons.
•Range: ml=-l … +l
3,1,0, +½
Shapes of Atomic Orbitals
Shapes of Atomic Orbitals
2s
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