Periodic Trends: Nuclear Charge, Atomic Size, Ionization Energy, and Electronegativity, Exams of Chemistry

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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2021/2022

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Periodic Trends
1.1 Effective Nuclear Charge
The interaction between the nuclear charge and the
valence electrons (how many? how far away?) is
critical
The nuclear charge experienced by the valence
electrons (Zeff ) impacts how tightly the valence
electrons are held
How tightly the valence electrons are held influences
How
tightly
the
valence
electrons
are
held
influences
atomic size, ionization energy, electron affinity, and
reactivity
Periodic Trends
1.2 Effective Nuclear Charge
Zeff = nuclear charge actually experienced by an
electron
Simplest approximation
Zeff = Z - # core electrons
Assumption
Examples
Periodic Trends
1.3 Effective Nuclear Charge
Slater’s rules acknowledge the imperfect shielding
caused by orbital penetration
Periodic Trends 1.4 Slater’s Rules
Slater’s rules assume imperfect shielding
Zeff = Z – where is calculated using Slater’s rules
1
Gthbitlid
1
.
G
roup
th
e or
bit
a
l
s
i
n or
d
er:
(1s) (2s,2p) (3s,3p) (3d) (4s,4p) (4d) (4f) (5s,5p)…
2. To determine , 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
g
rou
p
(
exce
p
t
gp( 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
pf3
pf4
pf5
pf8
pf9

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1.1 Effective Nuclear Charge

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

1.2 Effective Nuclear Charge

Z

eff

= nuclear charge actually experienced by an electron 

Simplest approximation

Z

eff

= Z - # core electrons

Assumption 

Examples

1.3 Effective Nuclear Charge

Slater’s rules acknowledge the imperfect shieldingcaused by orbital penetration

Periodic Trends

1.4 Slater’s Rules

Slater’s rules assume imperfect shielding 

Z

eff

= Z –

where

is calculated using Slater’s rules

1

G

th

bit l

i^

d

  1. Group the orbitals in order:

(1s) (2s,2p) (3s,3p) (3d) (4s,4p) (4d) (4f) (5s,5p)…

  1. To determine

, 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

1.5 Using Slater’s Rules

What do the 1.0, 0.85 and 0.35 factors mean? 

Some examples

Na 

F

Periodic Trends

1.6 Using Slater’s Rules

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?

1.7 Using Slater’s Rules

Z

eff

trend across a period (Li to Ne)

Periodic Trends

1.8 Using Slater’s Rules

Z

eff

trend down a group (Li to K)

Z

eff

trend down a group (F to Br)

2.5 Electron Affinity

1

2

13

14

15

16

17

Periodic Trends

2.6 Electron Affinity

2.7 Electron Affinity

Some exceptions to the general trend 

Li and Be 

C and N

Periodic Trends

2.8 Electron Affinity

Another exception to the general trend 

F and Cl (O and S)

2.9 Electronegativity

Periodic Trends

2.10 Ionic Radii

Cs

+^

> K

+^

Na

- I

Br

Cl

Na versus Na

Wh t

b^

t^

lfid

hl

id

d^

t^

i^

i^

What about sulfide, chloride and potassium ions?

3.1 Chemical Bonding

Covalent 

Ionic 

Metallic

Periodic Trends

3.2 Chemical Bonding

Covalent 

Ionic 

Metallic 

Metallic

2.5 Electron Affinity

1

2

13

14

15

16

17

Periodic Trends

4.2 Uniqueness Principle

Small size

4.3 Uniqueness Principle

Tendency to form

-bonds

Periodic Trends

4.4 Uniqueness Principle

Absence of d orbitals of appropriate energy

5.1 Diagonal Effect

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

5.2 Diagonal Effect

Why does this diagonal relationship exist?

6.1 Metals, Non-metals, Metalloids

Periodic Trends

6.2 Oxidation State and Reactivity