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All about quantum theory and its relation to atomic oribatls...
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The electron is found inside a blurry “electron cloud”, also called the “probability region”.
“The more precisely the position of a particle is determined, the less precisely the momentum is known in this instant; and vice versa.”
Describes the region of space where the electron is most likely to be found.
Provides information on the energy of the electron.
Energy is quantized,meaning: can be subdivided into small but measurable increments.
An orbital is not a circular path, rather it is an energy state that can be described by the four quantum numbers.
Principal Quantum Number (n or shell)- the main energy level of an orbital- related to the total energy of the
electron in an atom- represents physically the radial distance
that the probability region extends out from the nucleus
- values: positive integer beginning with 1- 2n2 rule: maximum number of electrons
that can occupy a main energy level
Azimuthal Quantum Number (l)- energy sublevels- defines the shape of the orbital- values: 0 until the integer n-1
lSublev
elOrbital Shape
0 S Spherical1 P Dumbbell-shaped
2 D4 cloverleaf-shaped; 1 dumbbell-shaped w/
ring3 F (too complex to describe)
Magnetic Quantum Number (ml)- describes the orientation of the orbital in space- values: integral value from –l to +l, including 0- formula: 2l + 1 = number of ml values per
sublevel
Sublevel l ml
S 0 0
P 1 -1, 0, 1
D 2-2, -1, 0, 1,
2
Spin Quantum Number (ms)
- represents the electron spin- describes the direction of the spin of
one electron in reaction to the magnetic field generated by another electron nearby.
- values: +½ ( ) – clockwise spin and -½ ( ) – counterclockwise spin
Describes how the electrons are distributed among the orbitals.
Ground state – lowest energy state of the atom;most stable arrangement of the electrons
“The electrons fill the orbitals, one at a time, starting with the lower energy orbital then proceeding to the one
with higher energy.”
n+l rule
- used to identify which orbital has lower energy and is filled up first as electrons are added to the atom.
- the lower the (n+l), the lower the energy
- if (n+l) values are equal, the one with lower n value has the lower energy.
“No two electrons in the same atom can have the same set of four
quantum numbers.”
Consequently, it means: Only two electrons may occupy an orbital, and they must have different spins.
Sublevel# of
orbital
Maximum # of
electrons
S 1 2
P 3 6
D 5 10
F 7 14
“When electrons occupy orbitals of equal energy, they don’t pair up unless all the orbitals have been filled up by a single electron.”
Degenerate orbitals – orbitals or energy levels with the same energy
Paramagnetic Element– has one or more unpaired electrons in its orbital– can be attracted to a magnet
Diamagnetic Element- only paired electrons in its orbitals- slightly repelled by a magnet