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Quantum Numbers

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Quantum Numbers

Post Number: #1  Postby Jessica » March 6th, 2011, 11:47 pm

QN → solution to Schrodinger's wave equation (4 QN)
electron's address - most probable location

1. Energy level - n

n = 1 to

The higher the n, the greater the energy and the farther from the nucleus



2. l - sublevel - indicates the shape

# of possible shapes for an energy level = n

each sublevel (shape) is assigned a letter

s < p < d < f < g ... go through the alphabet
→ Increasing E

s = spherical
p = peanut
d = double peanut
f = flower




3. m[sub]l[/sub] - indicates the orientation or # of orbitals per sublevel

count by ODD numbers

s = 1
p = 3
d = 5
f = 7
actually contain e[super]-[/super]

orbitals per EL = n²



4. m[sub]s[/sub] - indicates the spin of e[super]-[/super]

Must have OPPOSITE spins

max of 2 e[super]-[/super] in an ORBITAL; max # of e[super]-[/super] in an EL = 2n²

s = 1 × 2 = 2
p = 3 × 2 = 6
d = 5 × 2 = 10
f = 7 × 2 = 14
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