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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