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ELECTRONS IN ATOMS Address of electrons in atoms ELECTRONS IN ORBIT ABOUT THE NUCLEUS ELECTRON DENSITY OF 1s ORBITAL Where 90% of the e- density is found for the 1s orbital e- density (1s orbital) falls off rapidly as distance from nucleus increases Schrödinger Wave Equation = fn(n, l, ml, ms) ______________________________ l for a given value of n, l = 0, 1, 2, 3, … n-1 n = 1, l = 0 n = 2, l = 0 or 1 n = 3, l = 0, 1, or 2 l=0 l=1 l=2 l=3 s orbital p orbital d orbital f orbital Shape of the “volume” of space that the e- occupies l = 0 (s orbitals) l = 1 (p orbitals) l = 2 (d orbitals) ml = -1 ml = -2 ml = 0 ml = -1 ml = 0 ml = 1 ml = 1 ml = 2 Energy of orbitals in a single electron atom Energy depends only on principal quantum number n n=3 n=2 En = -RH ( n=1 1 n2 ) Energy of orbitals in a many-electron atom Energy depends on n and l n=3 l = 2 n=3 l = 0 n=2 l = 0 n=1 l = 0 n=3 l = 1 n=2 l = 1 Fill lowest energy orbitals first (Aufbau principle) He 2 electrons He 1s2 Fill lowest energy orbitals first (Aufbau principle) Li 3 electrons Li 1s22s1 Fill lowest energy orbitals first (Aufbau principle) Be 4 electrons Be 1s22s2 Fill lowest energy orbitals first (Aufbau principle) B 5 electrons B 1s22s22p1 Fill lowest energy orbitals first (Aufbau principle) ? C 6 electrons C 1s22s22p2 Hund’s rule: The most stable arrangement of electrons in subshells is the one with the greatest number of parallel spins. C 6 electrons C 1s22s22p2 Hund’s rule: The most stable arrangement of electrons in subshells is the one with the greatest number of parallel spins. ? N 7 electrons N 1s22s22p3 Hund’s rule: The most stable arrangement of electrons in subshells is the one with the greatest number of parallel spins. N 7 electrons N 1s22s22p3 Hund’s rule: The most stable arrangement of electrons in subshells is the one with the greatest number of parallel spins. O 8 electrons O 1s22s22p4 Hund’s rule: The most stable arrangement of electrons in subshells is the one with the greatest number of parallel spins. F 9 electrons F 1s22s22p5 Hund’s rule: The most stablearrangement of electrons in subshells is the one with the greatest number of parallel spins. Ne 10 electrons Ne 1s22s22p6 Order of orbitals (filling) in multi-electron atom 1s < 2s < 2p < 3s < 3p < 4s < 3d < 4p < 5s < 4d < 5p < 6s Outermost subshell being filled with electrons Electrons determine all of the chemical properties and some of the physical properties of elements.