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The Modern Atomic Model Bohr Model of the Atom (review) •Energy levels contain electrons. •Electrons travel around the nucleus. •Different orbitals varied by different quantum (energy). •Gaps between energy levels were not equal. Electrons in Energy Levels •All energy levels above the lowest energy level are known as “excited” states or energy levels. (n= 2, 3, 4 … etc.) n=4 n=3 n=2 n=1 Erwin Schrödinger •1926 •Created a math formula to explain how emoved. (Schrödinger Equation) •Schrodinger’s work focused on probability. •Probability of finding an e- at various locations around the nucleus. •These “locations” are known as Atomic Orbitals. - Quantum Mechanical Model (e cloud model) •Nucleus (p+ and n0) •Electron Cloud •Cloud shows areas of probable e density Quantum Numbers •Quantum numbers describe the probable location of e- in atoms. •1s2 •‘principal quantum number’ (n) → The energy levels (n). •[n= 1, 2, 3, 4, ….] •The larger ‘n’, the further the e- is from the nucleus. QM Model – Sublevels • The 2nd quantum # represents the sublevel e- are found. • sublevels contain the actual atomic orbitals (locations for e -) • s-sublevel– 1 orbital, shaped like a sphere • p-sublevel– 3 orbitals, shaped like a dumbbell • d-sublevel– 5 orbitals, irregular shape • f-sublevel– 7 orbitals, irregular shape Shapes of Atomic Orbitals Shapes of Atomic Orbitals 2s Orbital Occupancy •Each orbital, in each energy level can only hold a maximum of 2 e-. - •s sublevel → 1 orbital, 2 e •p sublevel → 3 orbitals, 6 e•d sublevel → 5 orbitals, 10 e•f sublevel → 7 orbitals, 14 e- Sublevels and Occupancy (cont.) •Not every energy level is made up of all the sublevels. •N=1, contains ‘s’ only •N=2, contains ‘s’ and ‘p’ •N=3, contains ‘s’, ‘p’, and ‘d’ •N=4…. , contain all 4 sublevels Picturing the Atom Spin Quantum Number •Electrons are not only in motion based on their velocities, they are also rotating. •e- can either have a +1/2 or -1/2 for their ‘ms’ values. 1s