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the most important application of what we've been setting so far it is related to the probability
of finding an electron in a certain location of an at
that probability is proportional two
this is the letter sigh
so this is proportional to SCI squared side is called the way function
and the way function is a complicated mathematical function the not gonna go and two in
this class what we are going to look at the variables that go into that function
the first variable is called the principle on a number know it's more portly you remember the abbreviations and that's a lowercase and
the rule is and can be any positive
whole number seen each remember and and the rules for an
positive will number starting at one and all in all we have two infant
the second variable is
called held and the rule for Al is it started zero and the Mac so they can B is one less than the value of an so that one and number arrow
is determined by what the quantum number and it's that's gonna limit your choices for arrow
the quantum number and Sobel is dependent on EL it ranges from negative EL up to zero up to positive El Ian integer increments
the last variable is called the east bay and claw number and so that's
in this can either be plus one have
are -1/2
so the rules for the KLA numbers it some portly you memorize these rules
you can C an example let's say that and is equal 24
that fits the rules for this between one and Infiniti and it's a whole number
a wants we determine the value of a in that limits the choices for EL in this example
hell could be 012
or three
it's not all of those numbers it's going to be one of those numbers
and depending on which number it is we have different values for M's of oh so for example when EL is zero
M. Sobel has only one possibility between -00 all IP a positive zero
the only answer that works is zero
but if we take the upper extreme when Ellis three
M. Sobel can be any of these values -3 -2 -1
zero plus one plus two or plus three
this bin is always either plus one have or -1/2
altogether those for quantum numbers make up a set
and no two electrons in an atom can have that same set of four quantum numbers
so if you're looking at an atom with 80 electrons all Aid Electronics have unique set of four quantum numbers they may have three of the for the same
but they must have the fourth clown number different
declining numbers tell you about the orbital Ziff
and the orbital zip are the location of electrons
so the KLA number an tells you most importantly about the energy of the orbital
and it's gonna turn out to also be dependent on else of the energy is not just the pentagon and but it's also depended on that one and number L
the most important thing Altos you though is the shape of the orbital
and the claw number and Sobel tells you about the orientation and three dimensional space
about that orbital
this code is vital that two memorize
the orbital name that goes along with the clown number L
so 012 and three matches SP a DE and F
the KLA number Ella zero is an S or below us the name of the orbital and the acid orbital has a spherical shape
a P warble has a clown burrell's equal to one and that has a dumbbell should
the orbital looks like two P warble stuck together
as one possibility or it could look like the pew orbital that has a donut shape around the middle
and that one and number three that goes with an F orbital
though shapes are more complicated than the D's see only have to worry about the shapes for SP and D what