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quantum mechanical model
Schrodinger 1926
similar to Bohr model, e-s have restricted values (integers)
different bc it does not specify a path for electrons orbiting the nucleus
atomic orbital
each energy level’s region of space where there is a high probability of finding an e-
shell model
shows energy shells (1,2,3,4…), number of electrons(shell x2), and subshells (spdf)
why does the number of electrons in each principal energy shell increase as the number of the shell increases?
because there are more subshells due to higher energy levels further form the nucleus (potential energy?)
s orbital
spherical
1
1 e-

p orbital
different orientations in space
3
6 e-

d orbital
4/5 have cloverleaf shapes, 1 is freaky
5
10 e-

f orbital
complicated shapes
7
14 e-

use the subshell energies diagram to identify the subshells that hold the 25 electrons in a manganese atom, then explain.
1s2 2s2 2p6 3s2 3p6 4s2 3d5
found by following the zig-zag w/ 2 e-s per box x how many boxes per row
Heisenberg uncertainty principle
1927
impossible to know both speed AND position of a subatomic particle
create a wave packet of the wavelength of the SAP to get an estimate of the position
more waves in teh packet, more momentum uncertainty. less waves, more position uncertainty
used to create the quantum mechanical/electron cloud model of an atom
how can the scenario of watching a person on an escalator be used as an alaogy for heisenberg’s uncertainty principle?
When looking at a picture of a person on an escalator, they look “stationary” so you can’t know their speed. If you watch them moving, you can’t know their position because it is constantly changing.
Compare Daton’s original postulates to Heisenberg/Schrodinger’s quantum mechanical model
Dalton and Heis-inger both agreed on atoms being tiny little particles of matter but Heis-inger found out how to estimate electron location around the nucleus using the uncertainty principle
orbital
region around the nucleus of an atom that has a high probability of finding an electron. each orbital has 2 electrons max.
principal quantum number
n
values 1, 2, 3, 4, …
tells the energy level and main shell the electron is in
ex: n = 3 means third shell

angular momentum qunatum number
L
values can be zero to n-1
0=s, 1=p, 2=d, 3=f
tells shape of orbital, the subshell type
ex: L=1 means a p subshell

magnetic quantum number
mL
values: integers from -L to +L, including zero
tells which orbital within teh subshell, which orientation
for s(L=0) mL = -1, 0, +1 so there are three orbitals
spin quantum number
ms
values: +1/2 or -1/2
tells spin state of the electron
each orbital holds up to 2 epectrons, which must have opposite spin states
