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An in-depth exploration of periodic trends, focusing on effective nuclear charge, atomic size, ionization energy, and electronegativity. It explains the concept of effective nuclear charge, its impact on atomic properties, and the simplest approximation for calculating it. The document also introduces Slater's rules, which acknowledge the imperfect shielding caused by orbital penetration and provide a more accurate way to calculate effective nuclear charge.
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The interaction between the nuclear charge and thevalence electrons (how many? how far away?) iscritical
The nuclear charge experienced by the valenceelectrons (Z
eff
) impacts how tightly the valence
electrons are held
How tightly the valence electrons are held influences
How tightly the valence electrons are held influencesatomic size, ionization energy, electron affinity, andreactivity
Periodic Trends
eff
= nuclear charge actually experienced by an electron
Simplest approximation
eff
= Z - # core electrons
Assumption
Examples
Slater’s rules acknowledge the imperfect shieldingcaused by orbital penetration
Periodic Trends
Slater’s rules assume imperfect shielding
eff
where
is calculated using Slater’s rules
1
G
th
bit l
i^
d
(1s) (2s,2p) (3s,3p) (3d) (4s,4p) (4d) (4f) (5s,5p)…
, sum up the following contributions for the
electron of interest: a. 0 (zero) for all electrons in groups outside (to the right of) the
one being considered b. 0.35 for each of the other electrons in the same group (except
g^
p (
p
for 1s group where 0.30 is used) c. If the electron is in a (ns,np) group, 0.85 for each electron in the
next innermost (to the left) group d. If the electron is in a (nd) or (nf) group, 1.00 for each electron in
the next innermost (to the left) group e. 1.00 for each electron in the still lower (farther in) groups
What do the 1.0, 0.85 and 0.35 factors mean?
Some examples
Na
Periodic Trends
Fluorine’s Z
eff
calculated using the simple
approximation = 7 and using Slater’s rules = 5.20.Why is the Slater Z
eff
value lower? eff
What is Z
eff
for a “core” electron?
eff
trend across a period (Li to Ne)
Periodic Trends
eff
trend down a group (Li to K)
eff
trend down a group (F to Br)
1
2
13
14
15
16
17
Periodic Trends
Some exceptions to the general trend
Li and Be
C and N
Periodic Trends
Another exception to the general trend
F and Cl (O and S)
Periodic Trends
Cs
+^
+^
Na
Br
Cl
Na versus Na
Wh t
b^
t^
lfid
hl
id
d^
t^
i^
i^
What about sulfide, chloride and potassium ions?
Covalent
Ionic
Metallic
Periodic Trends
Covalent
Ionic
Metallic
Metallic
1
2
13
14
15
16
17
Periodic Trends
Small size
Tendency to form
-bonds
Periodic Trends
Absence of d orbitals of appropriate energy
Diagonal relationship (similar chemical properties)between first member of a group and the secondmember of the next groupmember of the next group
Li and Mg
Be and Al
B and Si
Periodic Trends
Why does this diagonal relationship exist?
Periodic Trends