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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.
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