Lecture 6 - Periodic Trends

Thursday, January 25, 2024

2:01 AM

“If you memorize the periodic table it will speed you up if you're a chemist, but by and large, the reason you have a periodic table is so that you can free up some part of your brain to do something else...” – Bill Nye
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/discussion_topics/658275"This week's overview
Assignments this week:
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/assignments/984055"Activity 1 (Elemental Exploration: A Personal Journey through the Periodic Table).
Write-up due yesterday (1/24)
If not finished get it done!
Peer reviews due Sunday (1/28).
For peer reviews answer the rubric and leave a comment
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/assignments/984618"HW 3 (2.1-2.2) on Aktiv Chemistry due yesterday (1/24) Covered periodic table, electron configurations, and valence electrons
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/assignments/986501"Reading quiz 4 (2.3-2.6) due tomorrow Friday.
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/assignments/986593"HW 4 (2.3-2.6) on Aktiv Chemistry due Sunday (1/28). Covers ions, Lewis dot, and periodic trends

Office Hours: 
Friday 11-1 CIC 
﷟HYPERLINK "https://calendly.com/bricejurban/office-hours"By appointment


Thursday (1/25) Schedule:
Periodic Properties
Radius
Shells and Shielding
Radius of Ions
Ionization Energy
Electron Affinity
Share our research of the elements 
Review
Looking Ahead
Tuesday (1/30) Schedule
Midterm 1 (in-class) chapters 1 and 2
Paper and Pencil Exam
Scientific/Graphing calculator allowed
One single-sided 8.5" x 11" sheet of notes.
Practice Exam posted on Canvas
Study by completing and reviewing the homework assignments, studying the end of chapter questions from chapter 1 and 2, and reviewing the lecture notes and reading quizzes
﷟HYPERLINK "https://ptable.com/#Properties"Periodic Trends - Link to Ptable.com
Any trend we can observe when looking at the properties of the elements
State of matter
At room temperature
Radius
Hardness
Conductivity
Melting point
Ionization Energy
Density
Specific Heat
Boiling point
Electron affinity
Modulus
Abundance
The best way to study periodic trends is by looking at the trends yourself!
Untitled picture.png Series 
Write-up 
State at 
Weight 
Helium 
Noble gases 
Wikipedia v 
0 
4.002602 
Gas 
2 
N/A 
Melting point 
Boiling point 
Electron affinity 
Ionization, 1st v 
Radius, calculated 
Hardness, Brinell v 
0 
2,372.3 
N/A 
-269 
kJ/mol v 
kJ/mol v 
31 
Energy levels 
Electronegativity 
N/A MPa v 
Modulus, Young v 
Density, STP v 
Conductivity, thermal v 
Heat, specific 
Abundance, universe v 
Discovered 
N/A 
0.1785 kg/m3 v 
0.1513 
W/mK v 
J/kgK v 
5,193.1 
23 
1895 AD
Untitled picture.png Series 
Write-up 
State at 
Weight 
Helium 
Noble gases 
Wikipedia v 
0 
4.002602 
Gas 
2 
N/A 
Melting point 
Boiling point 
Electron affinity 
Ionization, 1st v 
Radius, calculated 
Hardness, Brinell v 
0 
2,372.3 
N/A 
-269 
kJ/mol v 
kJ/mol v 
31 
Energy levels 
Electronegativity 
N/A MPa v 
Modulus, Young v 
Density, STP v 
Conductivity, thermal v 
Heat, specific 
Abundance, universe v 
Discovered 
N/A 
0.1785 kg/m3 v 
0.1513 
W/mK v 
J/kgK v 
5,193.1 
23 
1895 AD 
﷟HYPERLINK "https://ptable.com/#Properties/Radius/Calculated"Atomic Radius 
The size of the atom from the nucleus to the outer electron
Untitled picture.emf 8 
(G 
(ğ fiğ 





When an electron is more attracted to the nucleus, the atomic radius is smaller

﷟HYPERLINK "https://ptable.com/#Properties/Ionization/1st"First Ionization Energy
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﷟HYPERLINK "https://ptable.com/#Properties/Ionization/1st"First Ionization Energy
Energy required to remove the first electron from a neutral atom
A higher value means it is harder (more difficult) to occur 
Untitled picture.emf Energy 



Untitled picture.emf 375.7 kJ/mol 
23723 kJ/m01 
Li 
520.2 
Na 
495.8 
K 
418.8 
Rb 
cs 
375.7 
Be 
899.5 
Mg 
737.7 
ca 
589.8 
sr 
Ba 
502.9 
Ra 
509.3 
sc 
633.1 
Y 
599.9 
La 
538.1 
4988 
Lanthanides 
Ti 
6588 
zr 
640.1 
658.5 
Rf 
Ce 
534,4 
608.5 
v 
6509 
652.1 
Ta 
7284 
Pr 
528.1 
Pa 
cr 
652.9 
Mo 
w 
758.8 
Sg 
Nd 
533.1 
5976 
717.3 
Tc 
Re 
755.8 
Pm 
5386 
604.5 
Fe 
762.5 
710.2 
Os 
814.2 
Sm 
544.5 
Pu 
5814 
co 
7604 
Rh 
719.7 
865.2 
rvlt 
547.1 
Am 
576.4 
Ni 
737.1 
Pd 
Pt 
864,4 
Ds 
593 A 
Cm 
578.1 
cu 
745.5 
Ag 
Au 
Rg 
565.8 
598.0 
zn 
906.4 
8678 
(Jub 
Dy 
573.0 
Cf 
606.1 
B 
800.6 
Al 
577.5 
Ga 
578.8 
In 
5583 
TI 
589A 
Uut 
Ho 
5810 
Es 
c 
786.5 
762.2 
Sn 
7086 
715.6 
U uq 
Er 
589.3 
14023 
p 
1011.8 
As 
830.6 
Bi 
703.0 
Uup 
Tm 
596.7 
1313.9 
s 
9996 
Se 
9410 
Te 
869.3 
Po 
812.1 
603.4 
No 
1681.0 
Cl 
1251.2 
Br 
1139.9 
1008*4 
At 
Lu 
5233 
Lr 
4728 
2372.3 
Ne 
20807 
1350.8 
Xe 
1037.1 
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Untitled picture.emf 375.7 kJ/mol 
23723 kJ/m01 
Li 
520.2 
Na 
495.8 
K 
418.8 
Rb 
cs 
375.7 
Be 
899.5 
Mg 
737.7 
ca 
589.8 
sr 
Ba 
502.9 
Ra 
509.3 
sc 
633.1 
Y 
599.9 
La 
538.1 
4988 
Lanthanides 
Ti 
6588 
zr 
640.1 
658.5 
Rf 
Ce 
534,4 
608.5 
v 
6509 
652.1 
Ta 
7284 
Pr 
528.1 
Pa 
cr 
652.9 
Mo 
w 
758.8 
Sg 
Nd 
533.1 
5976 
717.3 
Tc 
Re 
755.8 
Pm 
5386 
604.5 
Fe 
762.5 
710.2 
Os 
814.2 
Sm 
544.5 
Pu 
5814 
co 
7604 
Rh 
719.7 
865.2 
rvlt 
547.1 
Am 
576.4 
Ni 
737.1 
Pd 
Pt 
864,4 
Ds 
593 A 
Cm 
578.1 
cu 
745.5 
Ag 
Au 
Rg 
565.8 
598.0 
zn 
906.4 
8678 
(Jub 
Dy 
573.0 
Cf 
606.1 
B 
800.6 
Al 
577.5 
Ga 
578.8 
In 
5583 
TI 
589A 
Uut 
Ho 
5810 
Es 
c 
786.5 
762.2 
Sn 
7086 
715.6 
U uq 
Er 
589.3 
14023 
p 
1011.8 
As 
830.6 
Bi 
703.0 
Uup 
Tm 
596.7 
1313.9 
s 
9996 
Se 
9410 
Te 
869.3 
Po 
812.1 
603.4 
No 
1681.0 
Cl 
1251.2 
Br 
1139.9 
1008*4 
At 
Lu 
5233 
Lr 
4728 
2372.3 
Ne 
20807 
1350.8 
Xe 
1037.1 
Atoms prefer having a noble gas configuration of electrons (the "octet" rule).
If that's not possible they also like having a full subshell (e.g. 2s, 3d)
And if that's also not possible, they might also like having a half-filled subshell (e.g. N, Gd)
There are also ﷟HYPERLINK "https://ptable.com/#Properties/Ionization/2nd"2nd, ﷟HYPERLINK "https://ptable.com/#Properties/Ionization/3rd"3rd, ﷟HYPERLINK "https://ptable.com/#Properties/Ionization/4th"4th ionization energies and so on until an atom runs out of electrons

﷟HYPERLINK "https://ptable.com/#Properties/ElectronAffinity"First Electron Affinity
The energy released when you add the first electron to a neutral atom
A higher value means it is easier (more favorable) to occur






  
Untitled picture.png ydroge 
2.8 
ithium 
9.6 
odium 
2.8 
tassiu 
ubidium 
eeslum 
87 
Francium 
Be 
Beryllium 
12 
Mg 
Magnesium 
20 
Ca 
Calcium 
2.37 
38 
Sr 
Strontium 
5.03 
56 
Barium 
13.95 
88 
Radium 
sc 
Scandium 
39 
Yttrium 
57-71 
89-103 
22 
Titanium 
7.6 
40 
Zr 
Zirconium 
72 
Hafnium 
104 
Vanadium 
50.6 
Niobium 
antalum 
105 
Db 
Cr 
Chromiu 
64.3 
42 
Molybdenum 
71.9 
74 
w 
Tungsten 
25 
Manganese Iron 
15.7 
Technetium 
Ruthenium 
53 
101.3 
76 
Re 
os 
Rhenium 
Osmium 
14.5 
107 
108 
30 hrium 
Hassium 
Pm 
Neodymium 
Promethium 
so 
so 
co 
Cobalt 
63.7 
45 
Rhodium 
109.7 
Iridium 
109 
Mt 
Meitnerium 
Sm 
Samarium 
so 
10 
28 
Nickel 
112 
46 
Palladium 
33.7 
78 
Platinum 
205.3 
110 
Darmsädtium 
Europium 
so 
11 
cu 
Copper 
118.4 
47 
Silver 
125.6 
Gold 
222.8 
111 
Rcentgenium 
Gadolinium 
so 
12 
30 
Zn 
Zinc 
48 
Cd 
Cadmium 
80 
Mercury 
112 
Cn 
Copemicium 
Terbium 
so 
13 
ron 
6.7 
luminium 
allium 
8.9 
ndium 
hallium 
Nihonium 
Dysprosium 
so 
14 
Carbon 
153.9 
14 
Si 
Silicon 
133.6 
Germanium 
119 
50 
Sn 
Tin 
07.3 
82 
Lead 
35.1 
114 
Flerovium 
Holmium 
so 
15 
Nitrogen 
Phosphorus 
72 
33 
Arsenic 
78 
51 
Sb 
Antimony 
103.2 
Bismuth 
115 
Moscovium 
Erbium 
so 
16 
Oxygen 
141 
16 
Sulfur 
Se 
Selenium 
195 
Tellurium 
1902 
PO 
Polonium 
183.3 
116 
Lv 
Livermorium 
Tm 
Thulium 
so 
17 
Fluorine 
17 
Chlorine 
349 
35 
Bromine 
324.6 
53 
Iodine 
295.2 
At 
As tatine 
270.1 
117 
106 
See 
18 
Helium 
10 
Neon 
18 
Argon 
36 
Krypton 
Xenon 
86 
Radon 
118 
Og 
Dubnium 
Ce 
nth-num Cerium 
so 
rglum 
Tennessine Ogenesson 
PrasezO,mium 
so 
Ytterb ium 
so 
Lu 
Lutetium 
so 
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Untitled picture.png ydroge 
2.8 
ithium 
9.6 
odium 
2.8 
tassiu 
ubidium 
eeslum 
87 
Francium 
Be 
Beryllium 
12 
Mg 
Magnesium 
20 
Ca 
Calcium 
2.37 
38 
Sr 
Strontium 
5.03 
56 
Barium 
13.95 
88 
Radium 
sc 
Scandium 
39 
Yttrium 
57-71 
89-103 
22 
Titanium 
7.6 
40 
Zr 
Zirconium 
72 
Hafnium 
104 
Vanadium 
50.6 
Niobium 
antalum 
105 
Db 
Cr 
Chromiu 
64.3 
42 
Molybdenum 
71.9 
74 
w 
Tungsten 
25 
Manganese Iron 
15.7 
Technetium 
Ruthenium 
53 
101.3 
76 
Re 
os 
Rhenium 
Osmium 
14.5 
107 
108 
30 hrium 
Hassium 
Pm 
Neodymium 
Promethium 
so 
so 
co 
Cobalt 
63.7 
45 
Rhodium 
109.7 
Iridium 
109 
Mt 
Meitnerium 
Sm 
Samarium 
so 
10 
28 
Nickel 
112 
46 
Palladium 
33.7 
78 
Platinum 
205.3 
110 
Darmsädtium 
Europium 
so 
11 
cu 
Copper 
118.4 
47 
Silver 
125.6 
Gold 
222.8 
111 
Rcentgenium 
Gadolinium 
so 
12 
30 
Zn 
Zinc 
48 
Cd 
Cadmium 
80 
Mercury 
112 
Cn 
Copemicium 
Terbium 
so 
13 
ron 
6.7 
luminium 
allium 
8.9 
ndium 
hallium 
Nihonium 
Dysprosium 
so 
14 
Carbon 
153.9 
14 
Si 
Silicon 
133.6 
Germanium 
119 
50 
Sn 
Tin 
07.3 
82 
Lead 
35.1 
114 
Flerovium 
Holmium 
so 
15 
Nitrogen 
Phosphorus 
72 
33 
Arsenic 
78 
51 
Sb 
Antimony 
103.2 
Bismuth 
115 
Moscovium 
Erbium 
so 
16 
Oxygen 
141 
16 
Sulfur 
Se 
Selenium 
195 
Tellurium 
1902 
PO 
Polonium 
183.3 
116 
Lv 
Livermorium 
Tm 
Thulium 
so 
17 
Fluorine 
17 
Chlorine 
349 
35 
Bromine 
324.6 
53 
Iodine 
295.2 
At 
As tatine 
270.1 
117 
106 
See 
18 
Helium 
10 
Neon 
18 
Argon 
36 
Krypton 
Xenon 
86 
Radon 
118 
Og 
Dubnium 
Ce 
nth-num Cerium 
so 
rglum 
Tennessine Ogenesson 
PrasezO,mium 
so 
Ytterb ium 
so 
Lu 
Lutetium 
so 
Atoms still prefer having a noble gas configuration of electrons (the "octet" rule).
Values that are 0 means adding an electron to that atom is unfavorable to occur.
Note this occurs for any atom that would have an electron added to a new shell or new subshell (group 2, 7, 12, 18). 
Gray elements, have no experimental data (87-118).
There are also 2nd, 3rd, 4th electron affinities and so on but this data is more difficult to find


Ionization energies and electron affinities plotted together 

Untitled picture.png He 
2500 
2000 
1500 
1000 
500 
B 
Mg 
Ne 
10 
Cl 
Ionization energy 
Br 
Se 
Cr 
cu 
Sr 
Cia 
Electron affinity 
N 
Xe 
Cd Sb 
Sn 
In 
Cd Xe Ba 
60 
50 
He Be 
-500 
Ar 
20 
Zn 
30 
Atomic number 
40 
Ionization energies are much greater in magnitude than electron affinities
Source: Inorganic Chemistry (Miessler) pg. 44
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Source: Inorganic Chemistry (Miessler) pg. 44


Understanding the Trends
Shielding




 
Effective nuclear charge:
Untitled picture.emf Electrons outside 
have no effect on 
effective nuclear charge 
for electron of interest 
Ot interest 
Positively charged nucleus 
Electrons between electrcm 
of interest and nucleus cancek 
some Of the positive 
nuclear charge. 

Practice Predicting Trends
 Down a group:

Untitled picture.png Element 
Atomic Radius 
Ionization Energy 
Sodium 
1.66 
495.8 kJ/m01 
Potassium 
2.03 
418.8 kJ/m01 



As we increase the number of shells the atomic radius increases because that electron is found further from the nucleus

Because that electron is found further from the nucleus it is easier to remove therefore it has a smaller ionization energy.
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Because that electron is found further from the nucleus it is easier to remove therefore it has a smaller ionization energy.



 Across a period:

Untitled picture.png Element 
Atomic Radius 
Ionization Energy 
Potassium 
2.03 
418.8 kJ/m01 
Calcium 
1.76 
589.8 kJ/m01 








As we go right across a period, the shielding effect weakens
We are adding one new proton
And the new electron being added is not in a new shell, so the effective nuclear charge is greater.
This causes the atomic radius to decrease to the right
Because the effective nuclear charge is greater, there is a greater attraction to the nucleus and it is more difficult to remove that electron.


Atomic vs Ionic Radii
Untitled picture.png Radius 
Protons 
Electrons 
Sodium atom, Na 
1.54 
11 
11 
Sodium ion, Na 
0.97 
11 
10 
Untitled picture.emf Group IA 
Group 2A 
Group 3A 
133+ B 
0.23 082 
A13+ Al 
0.51 1.18 
Ga3• Ga 
0.62 126 
In3+ In 
0.81 1.44 
Group 6A 
Group 7A 
0.68 
Li 
1.34 
Be2+ 
0.31 
Mg2• 
Be 
0.90 
o 
0.73 
02 ¯ 
1.40 
0.71 
1.33 
0.97 1.54 
1.33 1.96 
Rb 
2.11 
1.47 
Mg 
0.66 1.30 
0.99 1.74 
Sr2+ Sr 
1.13 
1.92 
1.02 184 
Se se2- 
1.16 
1.98 
1.35 
2.21 
1.81 
1.14 
1.96 
1.33 
2.20 
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Untitled picture.png Radius 
Protons 
Electrons 
Sodium atom, Na 
1.54 
11 
11 
Sodium ion, Na 
0.97 
11 
10 
As we remove electrons, the effective nuclear charge increases.
The remaining electrons are drawn in closer to the nucleus. 
This causes the radius to decrease (substantially)
As you remove even more electrons the size of the radius gets smaller and smaller

Untitled picture.png Radius 
Protons 
Electrons 
Chlorine atom, Cl 
0.99 
17 
17 
Chloride ion, Cl- 
1.81 
17 
18 

As we add electrons, the effective nuclear charge decreases
The electrons are now too many and they are now repelling each other.
This causes the anions to become much greater in radius than the neutral atom


Untitled picture.emf Group IA 
Group 2A 
Group 3A 
133+ B 
0.23 082 
A13+ Al 
0.51 1.18 
Ga3• Ga 
0.62 126 
In3+ In 
0.81 1.44 
Group 6A 
Group 7A 
0.68 
Li 
1.34 
Be2+ 
0.31 
Mg2• 
Be 
0.90 
o 
0.73 
02 ¯ 
1.40 
0.71 
1.33 
0.97 1.54 
1.33 1.96 
Rb 
2.11 
1.47 
Mg 
0.66 1.30 
0.99 1.74 
Sr2+ Sr 
1.13 
1.92 
1.02 184 
Se se2- 
1.16 
1.98 
1.35 
2.21 
1.81 
1.14 
1.96 
1.33 
2.20 





Practice Predicting Trends
Untitled picture.emf 02 
F 
Ne Na Mg2 
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Untitled picture.emf 02 
F 
Ne Na Mg2 

Untitled picture.png Radius 
Protons 
Electrons 
Oxide ion 
02 
8 
10 
Fluoride ion 
F— 
1.33 Å 
9 
10 
Sodium ion 
0.97 Å 
11 
10 
Magnesium ion 
Mg2+ 
0.66 Å 
12 
10 









If we keep the number of electrons the same and increase the number of protons then the size of the atom dramatically decreases because the remaining electrons are pulled in more toward the nucleus. 


Successive Ionization Energies
Untitled picture.png Ell.st.IQmzatiQLEnengy 
IEI forA1 580 kJ/m01 
Al + IEI Al + + 
Second Ioni7ationEnergy Third Ionization Energy 
Fourth Ionization Energy 
forA1 1,815 kJ/m01 IE3 IE4forA1 11,600kJ/m01 
Al + + IE2 AP + + AP + IE3 —9 AP + + A/3++lE4 —*A14 + 
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Untitled picture.png Ell.st.IQmzatiQLEnengy 
IEI forA1 580 kJ/m01 
Al + IEI Al + + 
Second Ioni7ationEnergy Third Ionization Energy 
Fourth Ionization Energy 
forA1 1,815 kJ/m01 IE3 IE4forA1 11,600kJ/m01 
Al + + IE2 AP + + AP + IE3 —9 AP + + A/3++lE4 —*A14 + 






Look at the data and see when the largest jump occurs.
Whenever you remove an electron it gets pulled in closer to the nucleus.
Using successive IE’s we can predict the favored and most stable ion

On a half sheet of paper answer these questions

1.
Untitled picture.png Consider the ions, F- and Na*. one has a larger radius? Explain fully. 
 F- has a larger radius, because it is isoelectronic with Na+ and has fewer protons. The effective nuclear charge is smaller so those electrons are found further from the nucleus.

2.
Untitled picture.png Consider the neutral atoms, F and Na. Which has a larger atomic radius? Explain fully. 
These are not isoelectronic atoms, and the radius of sodium is much larger. This is because its outer most electrons are found in a higher shell number which means they are farther from the nucleus

3.
Untitled picture.png Consider the six successive ionizations energies (in kJ mol) of mystery element, X. 
IEI 
786 
IE2 
1,580 
IE3 
3,230 
IE4 
4,360 
IE5 
16,000 
IE6 
20,000 
W'hy is each value larger than the previous value? 
Each value gets progressively larger, because each of these energies represents the successive removal of an electron. Each electron that gets removed, decreases the shielding effect on the remaining electrons. Resultingly they are pulled in closer to the nucleus and in order to take the next one off requires more and more energy. 
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Each value gets progressively larger, because each of these energies represents the successive removal of an electron. Each electron that gets removed, decreases the shielding effect on the remaining electrons. Resultingly they are pulled in closer to the nucleus and in order to take the next one off requires more and more energy. 
4.
Untitled picture.png • How many electrons were in the outer shell of this atom? 
Explain. 
At some point there is a large jump in energy when you remove an electron. This is when you've pulled off all of the electrons in a shell, resulting in a noble gas configuration which is an unusually stable state of an ion. To remove the next electron is much more difficult because it would lose this stable configuration.

For this mystery element, that jump occurs at ionization energy 5. Trying to take off the fifth electron is thus too difficult. We can then infer that the most probable ion would have a +4 charge; meaning there are 4 electrons in the outer shell of the atom.

 

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