lecture #3 of 17ardo/echem/uci-chem248-2019s_lectur… · 4/15/2019 2 119 7+ 6+ 4+ 3+ 2+ 0...

29
4/15/2019 1 116 Lecture #3 of 17 117 Looking forward… our review of Chapter “0” Cool applications Redox half-reactions Balancing electrochemical equations History of electrochemistry IUPAC terminology and E cell = E red E ox Nernst equation and Common reference electrodes Standard and Absolute potentials Latimer and Pourbaix diagrams Calculating E cell under non-standard state conditions Conventions 118 A Latimer diagram is a summary of the E 0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur. from Wiki Oxidation Reduction 1,69 V Two diagrams of empirical standard potentials… Wendell Mitchell Latimer (18931955) http://academictree.org/chemistry/peopleinfo.php?pid=24644 Chemist Latimer, The oxidation states of the elements and their potentials in aqueous solution, 1938

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Page 1: Lecture #3 of 17ardo/echem/UCI-CHEM248-2019S_lectur… · 4/15/2019 2 119 7+ 6+ 4+ 3+ 2+ 0 Oxidation Reduction 1,69 V Two diagrams of empirical standard potentials… A Latimer diagram

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116

Lecture #3 of 17

117

Looking forward… our review of Chapter “0”

● Cool applications

● Redox half-reactions

● Balancing electrochemical equations

● History of electrochemistry

● IUPAC terminology and Ecell = Ered – Eox

● Nernst equation and Common reference electrodes

● Standard and Absolute potentials

● Latimer and Pourbaix diagrams

● Calculating Ecell under non-standard state conditions

● Conventions

118

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

from Wiki

Oxidation Reduction

1,69 V

Two diagrams of empirical standard potentials…

Wendell Mitchell Latimer

(1893–1955)http://academictree.org/chemistry/peopleinfo.php?pid=24644

Chemist

Latimer, The oxidation states of the elements and their potentials in aqueous solution, 1938

Page 2: Lecture #3 of 17ardo/echem/UCI-CHEM248-2019S_lectur… · 4/15/2019 2 119 7+ 6+ 4+ 3+ 2+ 0 Oxidation Reduction 1,69 V Two diagrams of empirical standard potentials… A Latimer diagram

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119

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

1,69 V

Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

from Wiki

Wendell Mitchell Latimer

(1893–1955)http://academictree.org/chemistry/peopleinfo.php?pid=24644

Chemist

Latimer, The oxidation states of the elements and their potentials in aqueous solution, 1938

120

Disproportionation – spontaneous and simultaneous reduction and oxidation of a molecule

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

1,69 V

Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

from Wiki

Wendell Mitchell Latimer

(1893–1955)http://academictree.org/chemistry/peopleinfo.php?pid=24644

Chemist

Latimer, The oxidation states of the elements and their potentials in aqueous solution, 1938

121

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

(1) Does Mn2+ disproportionate?(2) What is the standard reduction potential of MnO4

– to MnO2?

1,69 V

Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

Disproportionation – spontaneous and simultaneous reduction and oxidation of a molecule

Page 3: Lecture #3 of 17ardo/echem/UCI-CHEM248-2019S_lectur… · 4/15/2019 2 119 7+ 6+ 4+ 3+ 2+ 0 Oxidation Reduction 1,69 V Two diagrams of empirical standard potentials… A Latimer diagram

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122

Reduction: Mn2+ Mno Eo = +1.18 V

Oxidation: Mn2+ Mn3+ Eo = +1.51 V

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

(1) Does Mn2+ disproportionate?(2) What is the standard reduction potential of MnO4

– to MnO2?

1,69 V

Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

Disproportionation – spontaneous and simultaneous reduction and oxidation of a molecule

123

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

(1) Does Mn2+ disproportionate? NO. Eo = Ered – Eox = 1.18 – 1.51 = – 0.33 V(2) What is the standard reduction potential of MnO4

– to MnO2?

1,69 V

Reduction: Mn2+ Mno Eo = +1.18 V

Oxidation: Mn2+ Mn3+ Eo = +1.51 V

Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

Disproportionation – spontaneous and simultaneous reduction and oxidation of a molecule

124

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

(1) Does Mn2+ disproportionate? NO. Eo = Ered – Eox = 1.18 – 1.51 = – 0.33 V(2) What is the standard reduction potential of MnO4

– to MnO2?ΔGo = -nFEo = -3FEo

1,69 V

Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

Disproportionation – spontaneous and simultaneous reduction and oxidation of a molecule

Page 4: Lecture #3 of 17ardo/echem/UCI-CHEM248-2019S_lectur… · 4/15/2019 2 119 7+ 6+ 4+ 3+ 2+ 0 Oxidation Reduction 1,69 V Two diagrams of empirical standard potentials… A Latimer diagram

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125

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

(1) Does Mn2+ disproportionate? NO. Eo = Ered – Eox = 1.18 – 1.51 = –0.33 V(2) What is the standard reduction potential of MnO4

– to MnO2?ΔGo = -nFEo = -3FEo

ΔGo = -nFEo1 + -nFEo

2 = -F((1 x 0.56 V) + (2 x 2.26 V)) = -F(5.08 V)

1,69 V

Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

Disproportionation – spontaneous and simultaneous reduction and oxidation of a molecule

126

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

(1) Does Mn2+ disproportionate? NO. Eo = Ered – Eox = 1.18 – 1.51 = –0.33 V(2) What is the standard reduction potential of MnO4

– to MnO2?ΔGo = -nFEo = -3FEo

ΔGo = -nFEo1 + -nFEo

2 = -F((1 x 0.56 V) + (2 x 2.26 V)) = -F(5.08 V)Set them equal to each other, and thus, 3Eo = 5.08 and Eo = 1.69 V

Two diagrams of empirical standard potentials…

1,69 V

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

Disproportionation – spontaneous and simultaneous reduction and oxidation of a molecule

… you do not need to do this process for #1 above, because the reaction is always balanced/equal in the number of electrons

1,69 V

127

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

Recall from before…

Page 5: Lecture #3 of 17ardo/echem/UCI-CHEM248-2019S_lectur… · 4/15/2019 2 119 7+ 6+ 4+ 3+ 2+ 0 Oxidation Reduction 1,69 V Two diagrams of empirical standard potentials… A Latimer diagram

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1,69 V

128

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

Recall from before… ???

???

1,69 V

129

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

Recall from before… ???

???

… anyway, why are

these bottom E0

values not on the

Latimer diagram?

1,69 V

130

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

Recall from before… ???

???

… anyway, why are

these bottom E0

values not on the

Latimer diagram?

… because they

are at basic/alkaline

standard state with

~1 M OH–!

Page 6: Lecture #3 of 17ardo/echem/UCI-CHEM248-2019S_lectur… · 4/15/2019 2 119 7+ 6+ 4+ 3+ 2+ 0 Oxidation Reduction 1,69 V Two diagrams of empirical standard potentials… A Latimer diagram

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1,69 V

131

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

Recall from before… ???

???

What would this E0

value be when at

acidic standard

state?

132Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

???

𝐸 = 𝐸𝑎𝑐𝑖𝑑0 −

0.05916 V

𝑛log

𝑀𝑛𝑂21 𝐻2𝑂

2

𝑀𝑛𝑂42− 1

𝐻+ 4= 𝐸𝑎𝑐𝑖𝑑

0 −0.05916 V

2log

1 1

1 1 10−14 4 = 𝐸𝑎𝑐𝑖𝑑0 − 0.02958 V 56

What would this E0

value be when at

acidic standard

state?

1,69 V

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

???

133Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

???

𝐸 = 𝐸𝑎𝑐𝑖𝑑0 −

0.05916 V

𝑛log

𝑀𝑛𝑂21 𝐻2𝑂

2

𝑀𝑛𝑂42− 1

𝐻+ 4= 𝐸𝑎𝑐𝑖𝑑

0 −0.05916 V

2log

1 1

1 1 10−14 4 = 𝐸𝑎𝑐𝑖𝑑0 − 0.02958 V 56

What would this E0

value be when at

acidic standard

state?

1,69 V

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

???

Page 7: Lecture #3 of 17ardo/echem/UCI-CHEM248-2019S_lectur… · 4/15/2019 2 119 7+ 6+ 4+ 3+ 2+ 0 Oxidation Reduction 1,69 V Two diagrams of empirical standard potentials… A Latimer diagram

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134Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

???

𝐸 = 𝐸𝑎𝑐𝑖𝑑0 −

0.05916 V

𝑛log

𝑀𝑛𝑂21 𝐻2𝑂

2

𝑀𝑛𝑂42− 1

𝐻+ 4= 𝐸𝑎𝑐𝑖𝑑

0 −0.05916 V

2log

1 1

1 1 10−14 4 = 𝐸𝑎𝑐𝑖𝑑0 − 0.02958 V 56

What would this E0

value be when at

acidic standard

state?

1,69 V

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

???

135Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

???

1,69 V

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

???

𝐸 = 𝐸𝑎𝑐𝑖𝑑0 −

0.05916 V

𝑛log

𝑀𝑛𝑂21 𝐻2𝑂

2

𝑀𝑛𝑂42− 1

𝐻+ 4= 𝐸𝑎𝑐𝑖𝑑

0 −0.05916 V

2log

1 1

1 1 10−14 4 = 𝐸𝑎𝑐𝑖𝑑0 − 0.02958 V 56

𝐸 = 𝐸𝑎𝑐𝑖𝑑0 − 1.65648 V = 0.60 V

What would this E0

value be when at

acidic standard

state?

1,69 V

136

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

???

???

𝐸 = 𝐸𝑎𝑐𝑖𝑑0 − 1.65648 V = 0.60 V

𝐸𝑆𝐻𝐸0 = 2,25648 V

SWEET!

𝐸 = 𝐸𝑎𝑐𝑖𝑑0 −

0.05916 V

𝑛log

𝑀𝑛𝑂21 𝐻2𝑂

2

𝑀𝑛𝑂42− 1

𝐻+ 4= 𝐸𝑎𝑐𝑖𝑑

0 −0.05916 V

2log

1 1

1 1 10−14 4 = 𝐸𝑎𝑐𝑖𝑑0 − 0.02958 V 56

What would this E0

value be when at

acidic standard

state?

Page 8: Lecture #3 of 17ardo/echem/UCI-CHEM248-2019S_lectur… · 4/15/2019 2 119 7+ 6+ 4+ 3+ 2+ 0 Oxidation Reduction 1,69 V Two diagrams of empirical standard potentials… A Latimer diagram

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1,69 V

137

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation Reduction

Two diagrams of empirical standard potentials…

A Latimer diagram is a summary of the E0 values for an element; it is useful for visualizing the complete redox series for an element and for determining when disproportionation will occur.

???

???

𝐸 = 𝐸𝑎𝑐𝑖𝑑0 − 1.65648 V = 0.60 V

𝐸𝑆𝐻𝐸0 = 2,25648 V

SWEET!

𝐸 = 𝐸𝑎𝑐𝑖𝑑0 −

0.05916 V

𝑛log

𝑀𝑛𝑂21 𝐻2𝑂

2

𝑀𝑛𝑂42− 1

𝐻+ 4= 𝐸𝑎𝑐𝑖𝑑

0 −0.05916 V

2log

1 1

1 1 10−14 4 = 𝐸𝑎𝑐𝑖𝑑0 − 0.02958 V 56

… but then why did the

CRC not list this? …

What would this E0

value be when at

acidic standard

state?

138

from Wiki

Marcel Pourbaix

(1904–1998)http://corrosion-doctors.org/Biographies/PourbaixBio.htm

… Second one (not truly standard potentials)…

Pourbaix, Atlas of electrochemical equilibria in aqueous solutions, 1974

Chemist

… but then why did the

CRC not list this? …

A Pourbaix diagram is a map of the predominant equilibrium species of an aqueous electrochemical system; it is useful for identifying which materials/species are present/stable

… mostly based on thermochemical data

139

A Pourbaix diagram is a map of the predominant equilibrium species of an aqueous electrochemical system; it is useful for identifying which materials/species are present/stable

… mostly based on thermochemical data

from Wiki

Marcel Pourbaix

(1904–1998)http://corrosion-doctors.org/Biographies/PourbaixBio.htm

… Second one (not truly standard potentials)…

Chemist

1,69 V

from Wiki

7+ 6+ 4+ 3+ 2+ 0

Oxidation

???

Pourbaix, Atlas of electrochemical equilibria in aqueous solutions, 1974

… but then why did the

CRC not list this? …

… because in acid, the reaction does

not occur!

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140

from Wiki

RHE

E(O2,H+/H2O)

Marcel Pourbaix

(1904–1998)http://corrosion-doctors.org/Biographies/PourbaixBio.htm

… Second one (not truly standard potentials)…

Anyway, … standard state is here, at ~1 M H+ (pH = 0) SHE… but if written under alkaline conditions, ~1 M OH– is standard state (pH 14)

Chemist

Pourbaix, Atlas of electrochemical equilibria in aqueous solutions, 1974

Why don’t I like this? … Even though EVERYONE plots it this way

A Pourbaix diagram is a map of the predominant equilibrium species of an aqueous electrochemical system; it is useful for identifying which materials/species are present/stable

… mostly based on thermochemical data

141

(1) What is the electrocatalyst for O2 evolution through water oxidation?(2) At what pH values is a solid electrocatalyst for H2 evolution stable?

Marcel Pourbaix

(1904–1998)http://corrosion-doctors.org/Biographies/PourbaixBio.htm

… Second one (not truly standard potentials)…

Chemist

Pourbaix, Atlas of electrochemical equilibria in aqueous solutions, 1974

from Wiki

RHE

E(O2,H+/H2O)

A Pourbaix diagram is a map of the predominant equilibrium species of an aqueous electrochemical system; it is useful for identifying which materials/species are present/stable

… mostly based on thermochemical data

142

(1) What is the electrocatalyst for O2 evolution through water oxidation? MnO2

(2) At what pH values is a solid electrocatalyst for H2 evolution stable?

Marcel Pourbaix

(1904–1998)http://corrosion-doctors.org/Biographies/PourbaixBio.htm

… Second one (not truly standard potentials)…

Chemist

Pourbaix, Atlas of electrochemical equilibria in aqueous solutions, 1974

from Wiki

RHE

E(O2,H+/H2O)

A Pourbaix diagram is a map of the predominant equilibrium species of an aqueous electrochemical system; it is useful for identifying which materials/species are present/stable

… mostly based on thermochemical data

Page 10: Lecture #3 of 17ardo/echem/UCI-CHEM248-2019S_lectur… · 4/15/2019 2 119 7+ 6+ 4+ 3+ 2+ 0 Oxidation Reduction 1,69 V Two diagrams of empirical standard potentials… A Latimer diagram

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143

(1) What is the electrocatalyst for O2 evolution through water oxidation? MnO2

(2) At what pH values is a solid electrocatalyst for H2 evolution stable? pH 7.5 – 13

Marcel Pourbaix

(1904–1998)http://corrosion-doctors.org/Biographies/PourbaixBio.htm

… Second one (not truly standard potentials)…

Chemist

Pourbaix, Atlas of electrochemical equilibria in aqueous solutions, 1974

from Wiki

RHE

E(O2,H+/H2O)

A Pourbaix diagram is a map of the predominant equilibrium species of an aqueous electrochemical system; it is useful for identifying which materials/species are present/stable

… mostly based on thermochemical data

144

How else could we write this? … “60 mV/2 log”! (at room temp.)

𝐸 = 𝐸0 −𝑅𝑇

𝑛𝐹ln𝑄Nernst Equation:

145

{Facile

𝐸 = 𝐸0 −𝑅𝑇

𝑛𝐹ln𝑄Nernst Equation:

Page 11: Lecture #3 of 17ardo/echem/UCI-CHEM248-2019S_lectur… · 4/15/2019 2 119 7+ 6+ 4+ 3+ 2+ 0 Oxidation Reduction 1,69 V Two diagrams of empirical standard potentials… A Latimer diagram

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146

{Facile

𝐸 = 𝐸0 −𝑅𝑇

𝑛𝐹ln𝑄Nernst Equation:

Recall

• Ecell does not require “n”

• ΔG does require “n” (-nFEcell)

Pt(s)|Hg(l) Pt(s)|Hg2Cl2(s)+ Cl–(aq)

147

Cu SCE

Cu2+(aq) Cu(s)

– –

Common Inert Electrodes: Platinum, Carbon, Gold

Common Reactive Electrodes: Copper, Zinc, Cadmium, Lead, Silver

high impedance to measure potential

NOT The Daniell Cell

148Write and explain the line notation for the redox reaction

between Cu/Cu2+ and an SCE electrode, where Cu2+ is CuSO4

(0.1 M), and KCl (1 M) is present in all cells.

Cu SCE

– –

Eo(Cu2+/Cu) = +0.1 V vs. SCE

Cu2+(aq) Cu(s) Pt(s)|Hg(l) Pt(s)|Hg2Cl2(s)+ Cl–(aq)

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149Write and explain the line notation for the redox reaction

between Cu/Cu2+ and an SCE electrode, where Cu2+ is CuSO4

(0.1 M), and KCl (1 M) is present in all cells.

Cu SCE

– –

Eo(Cu2+/Cu) = +0.1 V vs. SCE

Pt(s) | Hg(l) | Hg2Cl2(s) | KCl(1M, aq) | KCl(1M, aq) | KCl(1M, aq), CuSO4 (0.1M, aq) | Cu(s)

Cu2+(aq) Cu(s) Pt(s)|Hg(l) Pt(s)|Hg2Cl2(s)+ Cl–(aq)

150Write and explain the line notation for the redox reaction

between Cu/Cu2+ and an SCE electrode, where Cu2+ is CuSO4

(0.1 M), and KCl (1 M) is present in all cells.

Cu SCE

– –

Eo(Cu2+/Cu) = +0.1 V vs. SCE

Pt(s) | Hg(l) | Hg2Cl2(s) | KCl(1M, aq) | KCl(1M, aq) | KCl(1M, aq), CuSO4 (0.1M, aq) | Cu(s)

Pt(s) | Hg(l) | Hg2Cl2(s) | Cl–(1M, aq) | | Cu2+ (0.1M, aq) | Cu(s)

Cu2+(aq) Cu(s) Pt(s)|Hg(l) Pt(s)|Hg2Cl2(s)+ Cl–(aq)

151

151

Cu SCE

– –

Pt(s)|Hg(l) Pt(s)|Hg2Cl2(s)+ Cl–(aq)

Cu2+(aq) Cu(s)

http://www.baj.or.jp/e/knowledge/structure.html

FYI, cells can be drawn any which way, even on top of each other, or

radially… but in line notation the anode should be on the left-hand side.

Pt(s) | Hg(l) | Hg2Cl2(s) | Cl–(1M, aq) | | Cu2+ (0.1M, aq) | Cu(s)

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152

Cu SCE

– –

Eo(Cu2+/Cu) = +0.1 V vs. SCE

(a) What is Ecell in this case (1 M KCl, 0.1 M CuSO4)?

(b) What is Ecell if [KCl] = 0.1 M?

Cu2+(aq) Cu(s) Pt(s)|Hg(l) Pt(s)|Hg2Cl2(s)+ Cl–(aq)

Pt(s) | Hg(l) | Hg2Cl2(s) | Cl–(1M, aq) | | Cu2+ (0.1M, aq) | Cu(s)

153(a) What is Ecell in this case (1 M KCl, 0.1 M CuSO4)?

(b) What is Ecell if [KCl] = 0.1 M?

Eo(Cu2+/Cu) = +0.1 V vs. SCE

𝐸cell = 𝐸𝑜 −𝑅𝑇

𝑛𝐹ln

𝑎𝐶𝑢𝑎𝐻𝑔2𝐶𝑙2𝑎𝐶𝑢2+𝑎𝐻𝑔𝑎𝐶𝑙−2

Pt(s) | Hg(l) | Hg2Cl2(s) | Cl–(1M, aq) | | Cu2+ (0.1M, aq) | Cu(s)

(a)

154(a) What is Ecell in this case (1 M KCl, 0.1 M CuSO4)?

(b) What is Ecell if [KCl] = 0.1 M?

Eo(Cu2+/Cu) = +0.1 V vs. SCE

𝐸cell = 𝐸𝑜 −𝑅𝑇

𝑛𝐹ln

𝑎𝐶𝑢𝑎𝐻𝑔2𝐶𝑙2𝑎𝐶𝑢2+𝑎𝐻𝑔𝑎𝐶𝑙−2

Pt(s) | Hg(l) | Hg2Cl2(s) | Cl–(1M, aq) | | Cu2+ (0.1M, aq) | Cu(s)

(a)

𝐸cell ≈ 𝐸𝑜 −0.0592 V

𝑛log

1

𝐶𝑢2+ 𝐶𝑙− 2

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155(a) What is Ecell in this case (1 M KCl, 0.1 M CuSO4)?

(b) What is Ecell if [KCl] = 0.1 M?

Eo(Cu2+/Cu) = +0.1 V vs. SCE

𝐸cell = 𝐸𝑜 −𝑅𝑇

𝑛𝐹ln

𝑎𝐶𝑢𝑎𝐻𝑔2𝐶𝑙2𝑎𝐶𝑢2+𝑎𝐻𝑔𝑎𝐶𝑙−

2

Pt(s) | Hg(l) | Hg2Cl2(s) | Cl–(1M, aq) | | Cu2+ (0.1M, aq) | Cu(s)

(a)

𝐸cell ≈ 𝐸𝑜 −0.0592 V

𝑛log

1

𝐶𝑢2+ 𝐶𝑙− 2

𝐸cell = +0.1 V −0.0592 V

2log

1

0.1

𝐸cell = +0.1 V − 0.0296 V = +0.0704 V

156(a) What is Ecell in this case (1 M KCl, 0.1 M CuSO4)?

(b) What is Ecell if [KCl] = 0.1 M?

Eo(Cu2+/Cu) = +0.1 V vs. SCE

𝐸cell = 𝐸𝑜 −𝑅𝑇

𝑛𝐹ln

𝑎𝐶𝑢𝑎𝐻𝑔2𝐶𝑙2𝑎𝐶𝑢2+𝑎𝐻𝑔𝑎𝐶𝑙−2

Pt(s) | Hg(l) | Hg2Cl2(s) | Cl–(1M, aq) | | Cu2+ (0.1M, aq) | Cu(s)

(a)

𝐸cell ≈ 𝐸𝑜 −0.0592 V

𝑛log

1

𝐶𝑢2+ 𝐶𝑙− 2

𝐸cell = +0.1 V −0.0592 V

2log

1

0.1

𝐸cell = +0.1 V − 0.0296 V = +0.0704 V

𝐸cell = +0.1 V −0.0592 V

2log

1

(0.1)3

𝐸cell = +0.1 V − 0.0888 V = +0.0112 V

(b)

* Remember, there is no such thing as a half-cell reaction, unless you’re working with Trasatti

157

Quick quiz: Do the following make sense?

The grams (or grammage) of my material was 0.1 g.

The liters (or literrage) of my beaker was 0.1 L.

The m/s (or m/s-age) of that baseball was 10 m/s…

In general, IUPAC will be our standard guide for this course…

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158

Quick quiz: Do the following make sense?

The grams (or grammage) of my material was 0.1 g.

The liters (or literrage) of my beaker was 0.1 L.

The m/s (or m/s-age) of that baseball was 10 m/s…

Then I prefer that you don’t say:

“The voltage of my cell is 0.1 V.” Let’s call it a potential…

In general, IUPAC will be our standard guide for this course…

159In general, IUPAC will be our standard guide for this course…

http://goldbook.iupac.org/V06635.html

… and IUPAC prefers it too!

160In general, IUPAC will be our standard guide for this course…

Quick quiz: Do the following make sense?

The grams (or grammage) of my material was 0.1 g.

The liters (or literrage) of my beaker was 0.1 L.

The m/s (or m/s-age) of that baseball was 10 m/s…

Quick quiz: Do the following make sense?

The kinetic process was graphed as an M–s curve.

The kinetics were followed as the concentration versus s…

Then I prefer that you don’t say:

“The voltage of my cell is 0.1 V.” Let’s call it a potential…

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161In general, IUPAC will be our standard guide for this course…

Quick quiz: Do the following make sense?

The grams (or grammage) of my material was 0.1 g.

The liters (or literrage) of my beaker was 0.1 L.

The m/s (or m/s-age) of that baseball was 10 m/s…

Quick quiz: Do the following make sense?

The kinetic process was graphed as an M–s curve.

The kinetics were followed as the concentration versus s…

Then I also prefer that you don’t say:

“The cell’s behavior is shown as the I–V curve.” Let’s call

it an I–E curve, or best yet, a J–E curve.

Then I prefer that you don’t say:

“The voltage of my cell is 0.1 V.” Let’s call it a potential…

162Electrochemistry:

conventions… oh, conventions!

http://upload.wikimedia.org/wikipedia/commons/thu

mb/c/cc/Map_of_USA_TX.svg/2000px-

Map_of_USA_TX.svg.png

163Electrochemistry:

conventions… oh, conventions!

Handbook of Electrochemistry, Zoski (ed.), Elsevier, 2007

WE WILL USE THIS ONE…

… which is like you’ve learned in every

math class you’ve ever taken…

… and so yay!

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164

And FINALLY… A review of Chapter “0”

● Cool applications

● Redox half-reactions

● Balancing electrochemical equations

● History of electrochemistry

● IUPAC terminology and Ecell = Ered – Eox

● Nernst equation and Common reference electrodes

● Standard and Absolute potentials

● Latimer and Pourbaix diagrams

● Calculating Ecell under non-standard state conditions

● Conventions

165

Measurements in

Electrochemistry and Mass

Transfer Processes

Chapters 1, 15, and 4

166

Q: What’s in this set of lectures?

A: B&F Chapters 1, 15 & 4 main concepts:

● Section 1.1: Redox reactions

● Chapter 15: Electrochemical instrumentation

● Section 1.2: Charging interfaces

● Section 1.3: Overview of electrochemical experiments

● Section 1.4: Mass transfer and Semi-empirical treatment of

electrochemical observations

● Chapter 4: Mass transfer

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167

Looking forward… Section 1.1 (and some of Chapter 15)

● 2-electrode versus 3-electrode measurements

● Reference electrodes

● Potentiostats

● Compliance voltage/current

● J–E and I–E curves

● Kinetic overpotential

● Faradaic reactions

168Although we would like to measure electrochemical observables

(e.g. the current, voltage, etc.) associated with a single “working”

electrode (WE), we cannot.

We must always couple our working electrode to a second electrode in

order to make a measurement. These two electrodes comprise an

electrochemical “cell.”

Power

Supply

Red line resists current flow

169These schematics introduce some terms that we must define:

electrometer – A device for measuring a potential difference (Ecell). An

ideal voltmeter has infinite input impedance (i.e. it

draws no current). (impedance is “complex resistance”)

ammeter – A device for measuring a current. An ideal ammeter

has zero input impedance (i.e. it imposes no potential

drop).

Power

Supply

Red line resists current flow

http://chemwiki.ucdavis.edu/Analytical_Chemistry/E

lectrochemistry/Electrochemistry_2%3A_Galvanic_c

ells_and_Electrodes

-0.76 V

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170Experiments:

95% of the measurements that you will perform have a problem

Power

Supply

Red line resists current flow

… Oftentimes, most of us wish

to control the potential of this

“working” electrode...

171

Power

Supply

… while not affecting the

potential of the second

(reference) electrode that is

used to “complete the circuit.”

Red line resists current flow

Experiments:

95% of the measurements that you will perform have a problem

… Oftentimes, most of us wish

to control the potential of this

“working” electrode...

172

E, V vs. ???0 0.2 0.4 0.6 0.8 1.0-0.2-0.4-0.6-0.8-1.0

WE

RE

ΔEoc = 0.0 V = EWE – ERE

… for example, let’s say both electrodes are platinum…

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173

E, V vs. ???0 0.2 0.4 0.6 0.8 1.0-0.2-0.4-0.6-0.8-1.0

WE

RE

ΔEoc = 0.0 V = EWE – ERE

… and at “open circuit,” no potential bias is applied between them…

(disconnect the wire!)

… and by the way, we don’t know this potential…

174

E, V vs. ???0 0.2 0.4 0.6 0.8 1.0-0.2-0.4-0.6-0.8-1.0

WE

RE

ΔEoc = 0.0 V = EWE – ERE

… and at “open circuit,” no potential bias is applied between them…

(disconnect the wire!)

… and by the way, we don’t know this potential…

… and it is not well-defined because we cannot answer the question:

What is the half-reaction that defines it?

𝐸 = 𝐸0 −𝑅𝑇

𝑛𝐹ln𝑄Nernst Equation:

175

E, V vs. ???0 0.2 0.4 0.6 0.8 1.0-0.2-0.4-0.6-0.8-1.0

WE

RE

ΔEapp = +0.8 V

… now, if we apply +0.8 V to the WE (reconnect the wire)…the potential of both electrodes likely changes, and not likely symmetrically…

ΔE = 0.8 V

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176

E, V vs. ???0 0.2 0.4 0.6 0.8 1.0-0.2-0.4-0.6-0.8-1.0

WE

RE

ΔEapp = +0.8 V

… even worse, we don’t now the potential of either electrode…

ΔE = 0.8 V

… and we don’t know this potential!… we don’t know this potential…

177

E, V vs. ???0 0.2 0.4 0.6 0.8 1.0-0.2-0.4-0.6-0.8-1.0

WE

RE

ΔEapp = +1.2 V

… you get the picture!

ΔE = 1.2 V

178

In principle, this problem can be solved by using

a second electrode that is an (ideal) reference

electrode… (ideally) non-polarizable:

E, V vs. RE0.5 1.0 1.5 2.0-0.5-1.0-1.5-2.0

J, A

1E-3

2E-3

3E-3

-3E-3

-2E-3

-1E-3

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179

ΔEoc ≠ 0.0 V (likely)

… so get rid of the Pt reference electrode, and substitute in an SCE…

… which has a Pt wire in it…

E, V vs. SHE0 0.2 0.4 0.6 0.8 1.0-0.2-0.4-0.6-0.8-1.0

RE = saturated calomel electrode (SCE)

WE

180

ΔEoc ≠ 0.0 V (likely)

E, V vs. SHE0 0.2 0.4 0.6 0.8 1.0-0.2-0.4-0.6-0.8-1.0

RE = saturated calomel electrode (SCE)

WE

… where we still don’t know this potential because we cannot answer:

What is the half-reaction that defines it?

… so get rid of the Pt reference electrode, and substitute in an SCE…

… which has a Pt wire in it…

181

ΔEoc ≠ 0.0 V (likely)

E, V vs. SHE0 0.2 0.4 0.6 0.8 1.0-0.2-0.4-0.6-0.8-1.0

RE = saturated calomel electrode (SCE)

WE

… but, where we know this potential because we can answer:

What is the half-reaction that defines it?

Pt(s)|Hg(l)|Cl–(aq) Pt(s)|Hg2Cl2(s)

… so get rid of the Pt reference electrode, and substitute in an SCE…

… which has a Pt wire in it…

𝐸 = 𝐸0 −𝑅𝑇

𝑛𝐹ln𝑄Nernst Equation:

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182

ΔEoc ≠ 0.0 V (likely)

E, V vs. SHE0 0.2 0.4 0.6 0.8 1.0-0.2-0.4-0.6-0.8-1.0

RE = saturated calomel electrode (SCE)

E0SCE = +0.241 V vs. SHE

WE

… so get rid of the Pt reference electrode, and substitute in an SCE…

… which has a Pt wire in it…

… the SCE has a defined potential of +0.241 V vs. SHE…

183

ΔEapp = 0.0 V (ammeter ≠ 0 A)

E, V vs. SHE0 0.2 0.4 0.6 0.8 1.0-0.2-0.4-0.6-0.8-1.0

WE

RE = saturated calomel electrode (SCE)

E0SCE = +0.241 V vs. SHE

Power

Supply

Current must flow!

… so get rid of the Pt reference electrode, and substitute in an SCE…

… which has a Pt wire in it…

… the SCE has a defined potential of +0.241 V vs. SHE…

… and it “does not” “move” (much, usually)…

184

ΔEapp = +0.4 V

… the SCE has a defined potential of +0.241 V vs. SHE…

… and it “does not” “move” (much, usually)…

E, V vs. SHE0 0.2 0.4 0.6 0.8 1.0-0.2-0.4-0.6-0.8-1.0

WE

RE = saturated calomel electrode (SCE)

+0.241 V +0.641 V

ΔE = 0.4 V

… how did we calculate that (meaning +0.641 V)?

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185

ΔEapp = +0.4 V

… how did we calculate that (meaning +0.641 V)?

E, V vs. SHE0 0.2 0.4 0.6 0.8 1.0-0.2-0.4-0.6-0.8-1.0

WE

RE = saturated calomel electrode (SCE)

+0.241 V +0.641 V

ΔE = 0.4 V

ΔE = EWE – ERE

EWE = +0.4 V + +0.241 V = +0.641 V

186

ΔEapp = -0.7 V

… you get the picture!...

… but let’s learn some more about reference electrodes…

E, V vs. SHE0 0.2 0.4 0.6 0.8 1.0-0.2-0.4-0.6-0.8-1.0

WE

RE = saturated calomel electrode (SCE)

+0.241 V-0.459 V

ΔE = -0.7 V

ΔE = EWE – ERE

EWE = -0.7 V + +0.241 V = -0.459 V

187

http://www.gamry.com/Products/RefElec_SCE.htm

… here is what a commercial SCE looks like:

Some major companies that have excellent

additional information on their websites

AMETEK (PAR, Solartron), BASi, Bio-Logic,

CH Instruments, Gamry, Metrohm, Pine

Vycor frit

heat shrink tubing

plastic caps

copper wire

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188

1. It has a well-defined and invariant potential. That

is, no matter how much current we draw from this

electrode, its potential must not vary.

2. It has zero impedance. That is, it imposes no

resistive load on our cell.

3. It does not “contaminate” our solution. That is, it

is not a source of undesired ions in our

electrochemical cell.

Specifically, we would really like to have a reference

electrode that has the following attributes.

189

Vycor frit

heat shrink tubing

4 – 6 mm (o.d.) glass

tubing shaped like

an “h”

white Epotec epoxy or

TorrSeal, heat gunned...

copper wire

platinum wire

plastic caps

… but no such thing exists.

The closest approximation: the saturated calomel electrode (SCE)

190

mercury

calomel*

calomel* - a paste

containing liquid

mercury, Hg2Cl2 and

some sat’d aq. KCl

filling solution:

aqueous saturated KCl

Vycor frit

heat shrink tubing

4 – 6 mm (o.d.) glass

tubing shaped like

an “h”

copper wire

plastic caps

… but no such thing exists.

The closest approximation: the saturated calomel electrode (SCE)

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191

E0 = +0.241 V vs. SHE

the saturated calomel electrode (SCE)

the saturated mercurous sulfate electrode (MSE)

E0 = +0.236 V vs. SHE

the saturated sodium calomel electrode (SSCE)

E0 = +0.64 V vs. SHE

… but no such thing exists. (see Figure E.1 on the inside back cover of B&F)

The closest approximation: the saturated calomel electrode (SCE)

Hg2Cl2 + 2e– 2Cl– + 2Hg0

Hg2Cl2 + 2e– 2Cl– + 2Hg0

Hg2SO4 + 2e– SO4

2– + 2Hg0

192

E0SHE = 0.0000 V vs. SHE

http://en.wikipedia.org/wiki/Standard_hydrogen_electrode

The scheme of the standard (or normal)

hydrogen electrode:

1) platinized platinum electrode (large area)

2) hydrogen blow (bubbling)

3) solution of aqueous acid with proton activity

equal to one (dimensionless)

4) means to prevent O2 interference (sealant)

5) reservoir through which the second half-

element of the electrochemical cell is

attached. This creates an ionically

conductive path to the working electrode of

interest (salt bridge).

… great. But what is an SHE (standard hydrogen electrode)?

2H+ + 2e– H2

* one rendition of an SHE

193… another common RE is the aq. Ag/AgCl electrode (KCl sat’d)!

AgCl (white)

Ag (gray), from

photodecomposition

of AgCl

https://www.youtube.com/watch?v=8e0-AbwBDYM

Moody, Oke, & Thomas, Analyst, 1969, 94, 803

Pt (s) | Hg (l) | Hg2Cl2 (s) | Cl– (sat’d, aq) | AgCl (s) | Ag (s)

E0 = +0.197 V vs. SHE

But for those of you doing

photoelectrochemistry,

beware!

AgCl + e– Cl– + Ag0

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194… and three final “specialty” reference electrodes include…

E0 = +0.098 V vs. SHE

For aqueous alkaline electrolyte conditions

Mercury/Mercury Oxide (Hg/HgO, 20 wt% KOH)

E0 = +0.3 V vs. SCE (aq), which is

effectively +0.54 V vs. SHE

For non-aqueous (CH3CN) electrolyte solutions

Ag/AgNO3 (0.01 M) in CH3CN

* Used when you already have a cell with two halves of a

redox couple that will not change during your experiment

* Calibrate with Fc (ferrocene)

When a reference electrode cannot be used or is not wanted

“Quasi-reference” electrode as a Pt wire and any redox couple

B&F 2.1.7

195How would one test the accuracy of a reference electrode?

● Measure the potential of an internal standard versus this

reference electrode

(e.g. ferrocene in non-aqueous electrolyte)

● Measure the potential of this reference electrode versus several

other reference electrodes with a voltmeter

(e.g. Ag (s) | AgCl (s) | Cl– (sat’d) | AgCl (s) | Ag (s))

196How would one test the accuracy of a reference electrode?

● Measure the potential of an internal standard versus this

reference electrode

(e.g. ferrocene in non-aqueous electrolyte)

● Measure the potential of this reference electrode versus several

other reference electrodes with a voltmeter

(e.g. Ag (s) | AgCl (s) | Cl– (sat’d) | AgCl (s) | Ag (s))

What if no matter what you do, the potential is unstable or the equipment

overloads (i.e. gives you an error; often a red light turns on)?

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197How would one test the accuracy of a reference electrode?

● Measure the potential of an internal standard versus this

reference electrode

(e.g. ferrocene in non-aqueous electrolyte)

● Measure the potential of this reference electrode versus several

other reference electrodes with a voltmeter

(e.g. Ag (s) | AgCl (s) | Cl– (sat’d) | AgCl (s) | Ag (s))

What if no matter what you do, the potential is unstable or the equipment

overloads (i.e. gives you an error; often a red light turns on)?

● Throw the electrode away? NO WAY!

● Fix it!

● Check for (insulating) bubbles… change the frit… remake the

redox couple… something else?

… check out tidbits on troubleshooting EChem systems (B&F 15.9)

198

Specifically, we would really like to have a reference electrode

that has the following attributes:

1. It has a well-defined and invariant potential. That is, no

matter how much current we draw from this electrode, its

potential must not vary.

2. It has zero impedance. That is, it imposes no resistive

load on our cell.

3. It does not “contaminate” our solution. That is, it is not a

source of undesired ions in our electrochemical cell.

… now, as mentioned earlier, unfortunately, real reference

electrodes can do none of these things perfectly…

WE = working

electrode

RE = reference

electrode

CE = counter (or

auxiliary) electrode

“Out of sight, out

of mind” is a bad

motto!

199

http://www.porous-35.com/electrochemistry-semiconductors-10.html

… so we resort to a 3-electrode potentiostat…

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200… invented in 1937 by Hickling…

Hickling, Trans. Faraday Soc., 1942, 38, 27