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Scholars' Mine Scholars' Mine Masters Theses Student Theses and Dissertations 1971 Phase equilibrium and thermodynamic study of the iron-copper- Phase equilibrium and thermodynamic study of the iron-copper- carbon system carbon system Krishna Parameswaran Follow this and additional works at: https://scholarsmine.mst.edu/masters_theses Part of the Metallurgy Commons Department: Department: Recommended Citation Recommended Citation Parameswaran, Krishna, "Phase equilibrium and thermodynamic study of the iron-copper-carbon system" (1971). Masters Theses. 7220. https://scholarsmine.mst.edu/masters_theses/7220 This thesis is brought to you by Scholars' Mine, a service of the Missouri S&T Library and Learning Resources. This work is protected by U. S. Copyright Law. Unauthorized use including reproduction for redistribution requires the permission of the copyright holder. For more information, please contact [email protected].
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Page 1: Phase equilibrium and thermodynamic study of the iron ...

Scholars' Mine Scholars' Mine

Masters Theses Student Theses and Dissertations

1971

Phase equilibrium and thermodynamic study of the iron-copper-Phase equilibrium and thermodynamic study of the iron-copper-

carbon system carbon system

Krishna Parameswaran

Follow this and additional works at: https://scholarsmine.mst.edu/masters_theses

Part of the Metallurgy Commons

Department: Department:

Recommended Citation Recommended Citation Parameswaran, Krishna, "Phase equilibrium and thermodynamic study of the iron-copper-carbon system" (1971). Masters Theses. 7220. https://scholarsmine.mst.edu/masters_theses/7220

This thesis is brought to you by Scholars' Mine, a service of the Missouri S&T Library and Learning Resources. This work is protected by U. S. Copyright Law. Unauthorized use including reproduction for redistribution requires the permission of the copyright holder. For more information, please contact [email protected].

Page 2: Phase equilibrium and thermodynamic study of the iron ...

PHASE EQUILIBRIUM AND THERMODYNAMIC /.' ·--· ~ ·-'~•.7

STUDY OF THE IRON-COPPER-CARBON SYSTEM

BY

KRISHNA PARAMESWARAN, 1946-

A THESIS

Presented to the Faculty of the Graduate School of the

UNIVERSITY OF MISSOURI-ROLLA

In Partial Fulfillment of the Requirements for the Degree

MASTER OF SCIENCE IN METALLURGICAL ENGINEERING

1971

Approved by

---6,...:.-£2-=-_rz_~-~<Advisor>

T2537 78 pages c.l

Page 3: Phase equilibrium and thermodynamic study of the iron ...

ii

ABSTRACT

Gas carburization experiments were conducted at 950°C in order to

study the phase relations and to determine the activity of carbon in

the iron-rich corner of the iron-copper-carbon system. The solubility

of graphite in eq~ilibrium with iron-copper alloys was determined at 0 0 0

950 , 1000 , and 1050 c. The results of gas carburization and graphite

solubility experi~ents at 950°C were used in constructing an isothermal

section of the iron-rich end of the iron-copper-carbon phase diagram,

on which are superimposed carbon isoactivity lines. Graphite solubil­

ity data at 1000° and 1050°C were used to construct similar diagrams

without the isoactivity lines.

The effect of carbon content on the solidus temperature of an

alloy initially containing 90% copper and 10% iron was studied by gas

carburization and graphite equilibration techniques. The effect of

copper on the rate of carburization was determined in a semi-quantita­

tive way.

The results are discussed in terms of application to heat treat­

ment of copper bearing steels and to the liquid phase sintering of

iron-copper-carbon powder metallurgy parts.

Page 4: Phase equilibrium and thermodynamic study of the iron ...

ACKNOWLEDGEMENTS

The author gratefully acknowledges the invaluable guidance of

his advisor Dr. A.E. Morris during the entire project. He would

like to thank the International Copper Research Association for the

financial support.

iii

Page 5: Phase equilibrium and thermodynamic study of the iron ...

TABLE OF CONTENTS

ABSTRACT •••••••••

ACKNOWLEDGEMENTS.

LIST OF FIGURES.

LIST OF TABLES ••

... . ... ....

I. INTRODUCTION ••

II. REVIEW OF LITERATURE ••• . ......

III.

IV.

A.

B.

c. D.

Phase Diagrams •••

1. Iron-Copper System.

2. Copper-Carbon System.

3. Iron-Carbon System •••

4. Iron-Copper-Carbon System ••

Physical Metallurgical Considerations ••.••••••.

1. Effect of Copper on Transformation Temperatures.

2. Microstructure •••••••••.••.••••.

Thermodynamics of Related Systems •••

Copper in Steel and Cast Iron.

E. Copper in Powder Metallurgy.

EXPERIMENTAL PROCEDURE.

A.

B.

c. D.

E.

F.

G.

H.

General . ........... .

Furnaces and Temperature Control ••

Temperature Measurements ••

Atmosphere Control ••

Starting Materials •.

Alloy Preparation .••••..•••••.

Gas Carburization Experiments.

Graphite Solubility Experiments.

I. Solidus Temperature Determination ••

EXPERIMENTAL RESULTS AND DISCUSSION.

A.

B.

Presentation .••.••••.•

Discussion of Results.

1. Gas Carburization and Graphite Solubility.

2.

3.

Solidus Temperature Determination .•.

Kinetics of Carburization •.••••••••.

iv

Page

ii

. iii

vi

. viii

1

3

3

3

5

6

6

6

6

10

10

11

12

16

16

16

19

19

23

24

24

25

27

28

28

42

42

45

45

c. Suggestions for Further Work ................•.......•. 46

Page 6: Phase equilibrium and thermodynamic study of the iron ...

v. SUMMAR):' AND

v

Page

48 CONCLUSIONS • •..• , •••.••• , ............. , • • · • · ..... .

B IBL IOGRA.PHY • ••••••••.••••••••.••. I ••••••••••••••••••••••••••••••••• 49

53 VITA . ...•..•....•................................•.•.•...•..........

APPENDICES • ••••••••••••••.••••• - •.••• IIIJ .......... , •••••••••••••••••••• 54

I. CALCULATION OF ATMOSPHERES WITH A SPECIFIC 0

ACTIVITY OF CARBON AT 950 C •••••••••••• , •• ,................ 55 0

A. Gurry's Diagram at 950 C and 1 Atm Pressure •••••••••••• 55

B. Source of Data for the Calculations •••••••••••••••••••• 57

II. STARTING MATERIALS AND LIST OF ALLOYS PREPARED ••••••••••••• 59

III. WEIGHING PROCEDURE AND SOURCES OF ERRORS IN

THERMOGRAVIMETRY. • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 60

IV. SUMUARY OF EXPERIMENTAL RESULTS,. • • • • • • • • • • • • • • • • • • • • • • • • • • 62

A. Gas Carburization Experiments. • • • • • • • • • • • • • • • • • • • • . • • • • 62

B. Graphite Solubility Experiments •••••••••••••••••••.•••• 67

C. Solidus Temperature Determination....... • • • • • • • • • • • • • • • 68

D. Rate of Carburization.............. • • • • • • • • • • • • • • • • • • • • 68

E. Activity Coefficients for Carbon... • • • • • • • • • • • • • • • • • • • • 69

Page 7: Phase equilibrium and thermodynamic study of the iron ...

vi

LIST OF FIGURES

Figure Page

1. The Iron-Copper Phase Diagram. • • • . • • • . • • • . . • • . . . . . . • . • . • • • • . . . 4

2. The Iron-Copper-Carbon System - Composition of Conjugate

Liquids at Liquidus Temper a tures. . • . . • • • . . . . . • . • • . . . • . • . • . . . . . 7

3. The Iron-Copper-Carbon System - Lower Limit of the Austenite

Field. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

4(a) Effect of Copper on Allotropic Temperatures for a 0.5%

Carbon Steel.................................................. 9

4(b) Effect of Copper on M Temperature for a 0.5% Carbon Steel •••• 9 s

5. Effect of Copper on Carbon Pickup During Sintering ••••.•••..•• 14

6. Schematic Diagram of the Apparatus for Gas Carburization

Experiments. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17

7. Schematic Diagram of the Apparatus for Graphite Solubility

Experiments. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18

8(a) Schematic Diagram of the Apparatus for Solidus Temperature

Experiments (Gas Carburization)............................... 20

8(b) Schematic Diagram of the Apparatus for Solidus Temperature

Experiments (Equilibrium with Graphite) ..••.•••...•••••.•.••.• 21

9. The Carbon-Oxygen-Hydrogen System at 950°C and 1 Atm Pressure. 22

lO(a) Activity of Carbon vs % Carbon at 950°C for a 0.3% Copper

Alloy ......................................................... 29

lO(b) Activity of Carbon vs% Carbon at 950°C for a 0.7% Copper

Alloy......................................................... 30 lO(c) Activity of Carbon vs % Carbon at 950°C for a 1.0% Copper

Alloy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31

lO(d) Activity of Carbon vs % Carbon at 950°C for a 1.3% Copper

Alloy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32

lO(e) Activity of Carbon vs % Carbon at 950°C for a 2.5% Copper

Alloy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33

lO(f) Activity of Carbon vs % Carbon at 950°C for a 3.0% Copper

Alloy......................................................... 34

lO(g) Activity of Carbon vs % Carbon at 950°C for a 3.5% Copper

Alloy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35

11. Isothermal Section of the Iron-Rich End of the Iron-Copper-

Carbon Phase Diagram.......................................... 36

Page 8: Phase equilibrium and thermodynamic study of the iron ...

vii

Page

12. The Effect of Temperature on the Extent of the Austenite

Field. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38

13. The Effect of Copper on the Solubility of Graphite in

Iron-Copper Alloys. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

14. The Effect of Carbon Activity on the Solidus Temperature

for a 90% Copper Alloy. • . • . • . • . • . • • • • • • • . • • • • • • . • . • . . • . . • . • • . • • 40

15. The Effect of Copper Content of the Alloy on Time to Reach

the Equilibrium Carbon Content During Gas Carburization .•.••••• 41

16. The Effect of Copper on the Activity Coefficient of Carbon •.••. 44

Page 9: Phase equilibrium and thermodynamic study of the iron ...

viii

LIST OF TABLES

Table Page

I. 62

II. 62

III. 63

IV. 63

v. 64

VI. 64

VII. 65

VIII. 65

IX. 66

X(a) Solubility of Graphite in Iron-Copper Alloys .•••...•••••.....•. 67

X(b) Comparison of Graphite Solubility Values for Pure Iron

With Published Data. • . • • . • . . • • • • . . • • . . . . • . . . • • • • . . . . . • • • • . . . . . . 6 7

XI. Solidus Temperatures for a 90% Copper Alloy ...••.......•...•... 68

XII. Times to Attain Equilibrium Carbon Content During

Gas Carburiza tion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68

XIII (a)

XIII(b)

Activity Coefficients of Carbon at 950°C for Pure Iron •..••

Activity Coefficients of Carbon at 950°C for a 0.3%

69

Copper Alloy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 9

XIII(c) Activity Coefficients of Carbon at 950°C for a 0.7%

Copper Alloy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 0

Page 10: Phase equilibrium and thermodynamic study of the iron ...

1

I. INTRODUCTION

The effects of copper in steels and cast irons have been known

and utilized commercially even though the reason for these effects may

not have been fully understood. Copper is also one of the most im­

portant alloying elements in ferrous alloys used in powder metallurgy.

The addition of copper to low alloy steels improves strength and

gives good impact and abrasion resistance. Copper has been used in

high alloy and stainless steels to improve corrosion resistance in

specific environments, reduce susceptibility to stress corrosion crack­

ing and to impart age hardenability. Small copper additions do not

appreciably affect weldability. Up to 0.5% copper has been added to

certain steels for deep drawing applications.

One of the deterrents to the use of copper as an alloying element

in steel is its tendency to promote "hot shortness" above 1090°C and

over about 0.3% copper. The preferential oxidation of iron, during hot

working operations, causes the concentration of copper to increase on

the surface. At hot rolling or forging temperatures this high copper

material becomes liquid, and surface cracks occur.

In cast irons, copper is used to improve tensile strength and

transverse strength. It gives the desired type of graphite and stabil­

izes pearlite. The effect of copper is more pronounced in nodular

cast irons than in flake graphite forms.

Copper is becoming increasingly important as an alloying element

to iron parts made by the powder metallurgy process. It is possible,

by adjustment of the proportions of the constituents in iron-copper

and iron-copper-carbon compacts, to minimize dimensional changes dur­

ing sintering and to obtain optimum mechanical properties.

Experience has shown that a knowledge of the phase diagram is

very useful for explaining alloy behaviour. In the iron-copper-carbon

system, knowledge of the austenite phase boundary can be used in de­

signing heat treatment procedures for copper bearing steels. The deter­

mination of solidus temperatures in the system can contribute to a

better understanding of liquid phase sintering of iron-copper-carbon

powder metallurgy alloys. Such information can also shed light on the

Page 11: Phase equilibrium and thermodynamic study of the iron ...

temperature and composition ranges where "hot shortness" occurs in

steels containing copper.

2

In the present investigation, the iron-rich end of the iron­

copper-carbon phase diagram was studied at 950°C by gas carburization

experiments. The solubility of graphite in iron-copper alloys was 0 0 0 determined at 950 , 1000 , and 1050 C and the solidus temperature

was determined for a 90% copper-iron alloy.

Page 12: Phase equilibrium and thermodynamic study of the iron ...

3

II. REVIEW OF LITERATURE

Much has been published about the use of copper in ferrous alloys,

particularly in terms of phase transformations and heat treatment pro­

cedures for copper bearing steels. Hot shortness in copper contain­

ing steels and the problem of copper accumulation in steel scrap has

been discussed in the literature. The effect of copper on the pro­

perties of cast irons has also been extensively studied. Despite the

importance and use of copper in ferrous systems, there is still,

however, no complete phase diagram for the iron-copper-carbon system.

A bibliography1 entitled "Copper in Steel" was published by

the British Iron and Steel Research Association and covers work done

during the period 1951-1963. Another bibliography2 to be published

by INCRA, covers the period 1964 to 1970, plus some important earlier

work, and contains references on copper in iron, steels and related

systems.

The literature has been reviewed in the following section under

the headings of: (A) Phase Diagrams, (B) Physical Metallurgical

Considerations, (C) Thermodynamics of Related Systems, (D) Copper

as an Alloying Element in Steel and Cast Irons, and (E) The Use of

Copper in Powder Metallurgy.

A. Phase Diagrams

1. Iron-Copper System

The iron-copper phase diagram, taken from Hansen, 3 is presented

in Figure 1. Hansen3 also gives a thorough review of the work done

on the system up to 1957. A review of more recent work, up to 1963

was done by Elliott~ The most recent version of the phase diagram

is presented by Hultgren et a1, 5 but their diagram is essentially the

same as presented in Hansen. 3 The stable solid phases that exist in

this system are: delta o, austenite y, ferrite a, and epsilon E.

One of the points of great controversy in earlier work was the

existence of a wide miscibility gap in the liquid state. It was be­

lieved that liquid segregation occured in iron-copper alloys. However, 6 on the basis of later, more careful work, by Maddocks and Claussen,

it was found that with the use of relatively pure iron and copper no

Page 13: Phase equilibrium and thermodynamic study of the iron ...

160 0

150 0

1400

(.) 1300 0

.. 120 w 0

0:: :::>

~ 0:: w a.. ~ w 1-

110 1083

0 0

100 0 E ~

90 0

80 0

70 0

WEIGHT PER CENT IRON 10 20 30 40 50 60 70 80 90

I I I I I I I I I

~ (I 1484 cf~ LIQUID -~ _.. - I ~

(I

i/ ,..

I I I

j I I

~

I I •Y 3.2(2.8) 1094° :

I'" 4.5 (4.0) -92.5\

r-/2.915 (91. 5) \ (2.6) \

\ 1.6 \ 9

(1.4) -835° \A w -97

J.l:_59Cl r-- j_9~.5) 1---~--- - MAGN. .. TRANSFoRMATION 7

0.35 (0.3)

10 20 30 40 50 60 70

ATOMIC PER CENT IRON

80 90 100 Fe

Figure 1. The Iron-Copper Phase Diagram (Hansen3 ).

4

Page 14: Phase equilibrium and thermodynamic study of the iron ...

miscibility gap existed. Liquid segregation was apparently promoted

by the presence of impurities such as carbon and silicon.

5

The presently accepted value for the peritectic temperature

involving the delta phase is 1484°C. The peritectic temperature in­

volving austenite phase is taken as 1094°C, The reported temperatures

for the eutectoid reaction y = a + E, differ widely. Hansen3 takes

a value of 835 + 15°C. A similar uncertainty exists for the eutectoid

composition; Hansen3 reports it to lie between 2.5-3.5%* copper.

The solubility limits of copper in austenite and ferrite phases

were determined by Speich et a1. 7 They determined the interdiffusion

coefficients for copper in austenite and ferrite from concentration

penetration curves obtained by electron microprobe analysis. They

calculated the solubility limits for copper in the austenite (tempera-a o o o

ture range 929 -1020 C) and ferrite (temperature range 699 -859 C)

phases, by extrapolation of the diffusion data. The solubility limits

were represented as equations obtained by least square analysis and

are given below:

yFe: log C(% Cu)

aFe: log C(% Cu)

=- 2574 + 2.716 T

= - 4~00 + 4.335

where T is in °K. The austenite solubilities of Speich et al. are

(1)

(2)

3 lower than the values reported by Hansen. An extrapolation of their

austenite solubility data gave a eutectoid composition of 2.6% copper.

This is in good agreement with the value of 2.8% copper, which they

obtained by a thermodynamic treatment.

2. Copper-Carbon System

The solubility of carbon in copper is exceedingly small. Hansen3

reports the following solubility values: 0.0001% carbon at 1100°C,

0.00015% carbon at 1300°C, 0.0005% carbon at 1500°C and 0.003% carbon

at 1700°C.

* % in this work, refers to weight percent.

Page 15: Phase equilibrium and thermodynamic study of the iron ...

6

3. Iron-Carbon System

The iron-carbon diagram is fairly well known and excellent re-. .1 bl 3-5,8 v1ews are ava1 a e.

4. Iron-Copper-Carbon System

Prior to 1934, the only available data on the iron-copper-carbon

system was the work of Ishiwara et al. 9 They constructed a possible

phase diagram that satisfied the phase rule and attempted to locate

various surfaces of the diagram by experimental study of iron-rich

alloys containing up to 30% copper. Their work has been critically

evaluated by Gregg and Daniloff. 10 Some of the features of their

system are:

A two liquid region extends over a large part of the ternary

system and intersects the iron-copper liquidus curve. This latter

observation has been proven incorrect, as mentioned earlier.

The line along which liquid, and cementite (graphite?), are in

equilibrium intersects the two liquid region, necessitating the need

for an invariant reaction in which an iron-rich liquid is decomposed

into gamma iron, cementite (graphite) and a copper rich liquid.

Maddocks and Claussen6 placed the ends of the monotectic four phase

horizontal at 3% iron, 0.01% carbon, and 2 to 2.5% copper, 4.2% carbon

at 1150°C. Figure 2, taken from Maddocks and Claussen6 shows the com­

positions of conjugate liquids at liquidus temperatures.

Maddocks and Claussen6 concluded that the peritectic temperature

of 1094°C in the iron-copper system was not changed by the presence

of carbon.

Austenite decomposes in this system by a ternary eutectoid re­

action, which according to Ishiwara et al. 9 occurs at 700°C and at a

composition of 1.9% copper and 0.9% carbon. A version of the lower

limit of the austenite field is shown in Figure 3, taken from Gregg

and Daniloff. 10 The region of austenite is limited below by the sur­

faces of separation of alpha, graphite and epsilon.

B. Physical Metallurgical Considerations

1. Effect of Copper on Transformation Temperatures

Habraken and Greday11 briefly reviewed the effect of copper on

the transformation temperatures. Figures 4(a) and (b) taken from the

Page 16: Phase equilibrium and thermodynamic study of the iron ...

u.f QOO\t__L_:~-+--\--t--t= ~ QQ\\

~

I

cr:: uJ 0.. ~ uJ t-

I

(.) 0

Figure 2. The Iron-Copper-Carbon System - Composition of Conjugate Liquids at Liquidus Temperatures

(Maddocks and Claussen6).

7

Page 17: Phase equilibrium and thermodynamic study of the iron ...

Figure 3.

2

0 0

I 0 1

CARBON, 0/o

The Iron-Copper-Carbon System - Lower Limit of the Austenite Field (Gregg and DanilofflO).

8

Page 18: Phase equilibrium and thermodynamic study of the iron ...

-u 0 -

<l

9

-101------

® -20r-------~---------r--------4---~~~

0

0

~ -5

-10

-15

-20

0

@

0.5 1.0

COPPER

• ~ -. ~

0.5 1.0

COPPER (0/o)

1.5 2.0

"• ~~ ~

1.5 2.0

figure 4(a) Effect of Copper on Allotropic Temperatures 11 for a 0.5% Carbon Steel (Habraken and Greday ).

Figure 4(b) Effect of Copper on M Temperature for a 0.5% Carbon Ste~l (Habraken and Greday11).

Page 19: Phase equilibrium and thermodynamic study of the iron ...

10

work represents the effect of copper on the lowering of the allotropic

and M temperatures for a 0.5% carbon steel. They have also reviewed s

work done on continuous transformation diagrams of copper-containing

steels. They report that copper retards the transformation of austen­

ite more or less equally at all temperatures and that it increases the

resistance to softening during tempering.

2. Microstructure

Lund and Lawson12 examined the microstructure of quenched 4.8%

and 7.5% copper, iron-copper alloys by X ray diffraction, optical,

and electron microscopy. The 7.5% copper alloy showed epsilon phase

along the austenite grain boundaries and was believed to be proeutectoid

in origin. They found that the austenite phase in the iron-copper

system transforms to produce massive martensite of the same composi­

tion as the parent phase and that the transformation is accompanied

by shear.

C. Thermodynamics of Related Systems

The activity of carbon in austenite13- 16 and in molten iron17 •18

has been determined by a number of investigators, generally by equili­

bration with co-co2 mixtures. The most recent work is by Ban-Ya et

a1. 13 ~n which new data on the activity of carbon in austenite in the 0 0

temperature range 900 -1400 C was obtained. They derived the follow-

ing equation for the activity of carbon in austenite as a function

of temperature, with graphite as the standard state for carbon:

log a c

3770 3860 y c -- + 2. 72 log T - 10.525 + ---=-T T + log z

c (3)

o Yc where T is in K, y is the atom ratio of carbon to iron, and z

. . .19 c . c 1-y Chr1st1n1 determ1ned the activity of iron in the iron-copper c

0 0 system at 1050 to 1300 C, by a solid electrolyte technique. The

activity of copper was calculated by a Gibbs-Duhem integration. Dem­

chalk20 determined the activity of iron and copper in iron-copper aus­

tenite in the temperature range 1300°-1466°C, by bringing discs of

iron-copper solid solutions in contact with liquid silver-copper alloys

of known copper activity. The copper content in the iron-copper alloys

was determined by microprobe analysis and in silver-copper alloys by

Page 20: Phase equilibrium and thermodynamic study of the iron ...

11

atomic absorption spectrophotometry. He also determined the effect of

carbon on the activity of copper at 1300°C. His equation for the 0

activity coefficient of copper Ycu' at 1300 C, is given below:

ln y Cu 3.558- 32.75 XCu + 27.00 XC

XCu' XC are mole fractions of copper and carbon.

(4)

The published data on the activity of carbon in alloyed austenite 21

has been reviewed by Chipman and Brush. The Henrian activity coeffi-

cient at 1000°C was expressed in terms of interaction parameters among

the solute elements. Yoshida and Sano22 found a slight decrease in

the activity of carbon with copper addition in the temperature range

850-950°C. Chipman and Brush, in noting the work of Yoshida and Sano,

mention a lack of quantitative data for establishing interaction para­

meters for copper-carbon austenite.

D. Copper in Steel and Cast Iron

A recent review of the effects of copper in steels is given by 11

Habraken and Greday. They cited three advantages of copper addition

to steels: improved mechanical properties, increased wear resistance,

and improved corrosion resistance. The most widely used copper bear­

ing steels contain between 0.2-0.6% copper. The best known copper con­

taining steels are high strength low alloy grades, that had higher

yield strength than ordinary steels while the ductility remained com­

parable. The strengthening was due to solid solution hardening.

Copper substantially raises the atmospheric corrosion resistance

of steel. Moss23 mentions that 1-5% copper has been added to high

alloy and stainless steels to improve corrosion resistance in specific

environments and reduce susceptibility of austenitic stainless steels

to stress corrosion cracking. 11

Habraken and Greday mention the development of a rimmed steel

containing 0.2-0.5% copper to replace more expensive aluminum-killed

steel for deep drawing applications. They note that the presence

of copper in limited amounts did not appreciably affect weldability.

They have mentioned the use of copper steels for architectural appli­

cations. Corrosion resistant low alloy steel was used in the

Page 21: Phase equilibrium and thermodynamic study of the iron ...

12

unpainted condition as structural material; on weathering, a somewhat

pleasant rust color was obtained that was esthetically acceptable.

Two test structures in the U.S. built with Cor-Ten (U.S. Steel grade

containing 0.25-0.40% copper and 0.04% max. phosphorous) as the

main structural material after six years weathered to a uniform

rust color with no localized corrosion. Copper in conjunction with

phosphorous enhances the corrosion resistance of the steel.

One of the problems associated with copper bearing steel scrap

is that such scrap used in steel making contributes copper to the

finished steel, since copper is not removed during steel making. The

severity of the problem varies, depending on the use of the finished

steel and source of the scrap. Other sources of copper come from

scrap automobiles.

The effect of copper in cast irons has been investigated exten-

. 1 M 23 . h . . "1 h d s1ve y. ass ment1ons t e 1mprovement 1n tens1 e strengt an

transverse strength by copper additions to cast irons. He notes that

copper stabilizes pearlite and that the effect of copper was more

pronounced in nodular than in flake graphite forms. Corsetti and 24

Valota note that copper was found to improve hardenability, machin-

ability and promote graphitization.

E. Copper in Powder Metallurgy

Bockstiegel25 has studied the nature and causes of volume changes

in the sintering of iron-copper and iron-copper-carbon powder com­

pacts. He indicated the possibility of obtaining optimum mechanical

properties by skillful adjustment of the constituents and careful

control of the sintering conditions. He observed excessive swelling

of iron-copper compacts if the sintering was done above 1083°C or at

a lower temperature for longer times. He attributes the phenomena

to the solution of copper in austenite, since he observed the volume

increase to be proportional to the copper content of the compact up

to the solubility limit. In iron-copper-carbon compacts, he observed

less swelling, and attributed the phenomena to the possible presence

of an iron-rich ternary liquid phase.

Shoji and Yamada26 have studied the effects of sintering and

carburizing times on the carburizing behaviour of sintered iron-copper

Page 22: Phase equilibrium and thermodynamic study of the iron ...

and iron-nickel compacts. Copper did not exhibit an accelerating

effect on sintering as did nickel. Shorter carburizing times were

found adequate for iron-copper compacts, compared with iron-nickel

compacts. The case hardness was lower for the iron-copper compacts.

They attributed the above observations to the greater porosity of

iron-copper compacts. The toughness of quenched iron-copper compacts

decreased markedly beyond 3% copper. 27

In a later investigation Shoji et al. determined the effect

13

of copper on the activity of carbon in austenite from experiments

involving gas carburization of iron and iron-copper powders. The

results indicate a slight decrease in the carbon content with copper

addition at a fixed carbon activity. However, the data presented

appears to be very limited. Shoji and ~amada28 discussed the possibil­

ity of carbon control using denatured propane gas as a furnace atmos­

phere in the sintering of iron and iron-copper powders.

Sorokin29 studied the effect of copper and graphite on the pro­

perties of sintered iron-based alloys. He found a copper-rich phase

only in alloys with 10-15% copper, as inclusions along the bound­

aries of pearlite colonies. Copper addition improved tensile strength

and did not appreciably affect elongation.

Sorokin30 also mentions earlier work on the subject of carburiz­

ing during sintering of iron-copper compacts. He cites an earlier

work where a compact containing 2.7% copper absorbed 50% less carbon

than pure iron, during carburization at 930°C for 8 hours. Sorokin's

result is presented in Figure 5.

Sorokin also studied the effects of copper in improving the sinter­

ing characteristics of stainless steel powders and in increasing the

strength of compacts. 31

32 Domsa reported that the addition of copper to iron-graphite

compacts restricted cementite formation. One of the difficulties

in producing iron-graphite parts was the occurrence of cementite after

normal sintering. For carbon contents less than 3%, it could be avoid­

ed by shorter sintering times and step sintering methods. For higher

carbon contents an alloying element like copper was found to restrict

cementite formation. He attributed this behaviour to the effect of

Page 23: Phase equilibrium and thermodynamic study of the iron ...

cfl. 0.8

Figure 5.

14

SINTERING TIME: 90 MINUTES

4 8 12 16

COPPER IN CHARGE, o/o

Effect of Copper on Carbon Pickup During Sintering (Sorokin30).

900° C

950° c

Page 24: Phase equilibrium and thermodynamic study of the iron ...

15

copper in restricting the diffusion of carbon in iron.

Crosby et a1. 33 substituted cement copper for commercial copper

in a 7% copper 1% carbon - iron powder metallurgy alloy. The

subs~itute alloy showed lower strength properties; this was attributed

to poor sinterability.

Page 25: Phase equilibrium and thermodynamic study of the iron ...

16

III. EXPERIMENTAL PROCEDURE

A. General

In order to determine the limit of the austenite phase field

at 950°C, gas carburization experiments were conducted. Iron-copper

compacts were equilibrated with gas mixtures of fixed carbon activities.

The reaction was monitored by weight gain measurements utilizing a

Cahn electrobalance.

The solubility of graphite in various iron-copper alloys up

to 6% copper, was determined at 950°, 1000° and 1050°C in a horizon­

tal tube furnace. Wet hydrogen (dew point 25°C) was passed over

samples surrounded by powdered graphite.

The solidus temperature was determined as a function of the activ­

ity of carbon up to graphite saturation, for a 90% copper-iron

alloy.

B. Furnaces and Temperature Control

Three furnaces were used in this investigation. A "wire wound"

horizontal furnace was used for preparing homogeneous iron-copper

samples. A "wire wound" vertical tube furnace was used for carburiz­

ing and weight gain experiments. A silicon carbide resistance-heated

furnace with a vertical tube was used for determination of the solid-

us temperature.

For the gas carburization experiments, a Marshall furnace with

38 mm bore and 35 ems heated length was used. A vertical mullite

tube 32 mm ID and 76 ems long was used as the reaction chamber. At

the lower end of the mullite tube a side arm was attached which served

as inlet for the gas. The lower end of the tube was corked; above

the cork was a set of mullite baffles, which acted as a gas mixer and

radiation shield. The tube was covered at the top with a pyrex plate

containing two holes; one for a thermocouple and the other for a fused

silica suspension rod. Figure 6 shows a sketch of the apparatus used.

A Marshall furnace of 38 mm bore and 35 ems heated length was

used both for the preparation of iron-copper alloys and for graphite

solubility experiments. A horizontal fused silica tube, 22 mm ID and

92 ems long was used as the reaction chamber. Figure 7 shows a sketch

Page 26: Phase equilibrium and thermodynamic study of the iron ...

17

TO TO PAN POTENTIOMETER J::::=:::::::;, OF ELECTROBALANCE

MULLITE TUBE r;::::::= CON TROLLING PLATINEL THERMOCOUPLE PLATINEL

THERMOCOUPLE ----"~

(TO CONTROL UNIT}

• •

FURNACE

SAMPLE

GAS INLET

Figure 6. Schematic Diagram of the Apparatus for Gas Carburization Experiments.

Page 27: Phase equilibrium and thermodynamic study of the iron ...

SAMPLE HOLDER

.... ~ ·-·-·

BOAT CONTAINING SAMPLES PACKED WITH GRAPHITE POWDER

CRUCIBLE PACKED WITH GRAPHITE POWDER

• •

Figure 7. Schematic Diagram of the Apparatus for Graphite Solubility Experiments.

BAFFLE

GAS INLET

FURNACE

1-' 00

Page 28: Phase equilibrium and thermodynamic study of the iron ...

of the apparatus.

The solidus temperature was determined in a silicon carbide re­

sistance heated furnace. A vertical mullite tube, 16 mm ID and lOZ

19

ems long was used. At the lower end o£ the tube, a side arm was attach­

ed for gas inlet. The lower end of the tube was made tight by a

water seal and the upper end covered by a tight-fitting refractory

cap. Figures 8(a) and (b) schematically represent the apparatus

used in this experiment.

Each furnace temperature was controlled by a Barber Colman Z7Z P

Capacitrol temperature control unit with a Platinel II thermocouple,

which regulated the temperature to + Z°C.

C. Temperature Measurements

A Platinel II thermocouple was used for temperature measurement.

A similar Platinel thermocouple, calibrated by the National Bureau

of Standards at 900°, 1000°, and 1100°C was used for calibration purposes.

In most of the runs a fixed furnace temperature was needed. The

furnace temperature was set using the controller setting and checked

by the calibrating thermocouple. The working thermocouple was used for

temperature measurement before each run initially and later on after

alternate runs. This was found satisfactory, as the temperature re­

mained essentially constant. Periodic checks of the furnace tempera­

ture were made with the calibrating thermocouple.

The temperatures measured and controlled as described above were

estimated to be reproducible to ± 5°C, except as noted later in cer­

tain runs to determine the solidus temperature. In this experiment,

the temperature was estimated to be correct to + Z°C.

D. Atmosphere Control

Thermodynamic calculations were made to determine the relation­

ship between gas composition and carbon activity at a given temperature,

for the carbon-oxygen-hydrogen system. The results were plotted similar 34 to the diagrammatic method of representation devised by Gurry and

are presented in Figure 9. Many of the possible gas mixtures were

eliminated from the standpoint of difficulty in mixing or control­

ing. Some of the binary and ternary gas mixtures indicated to be

suitable from Figure 9 were found not to give the equilibrium gas

Page 29: Phase equilibrium and thermodynamic study of the iron ...

1.5 V DC

A

TO POTENTIOMETER :::::=::1

PLATINEL THERMOCOUPLE

GAS SEAL

__.. -- - -----

CIRCUIT

MULLITE TUBE

SAMPLE

Figure 8(a) Schematic Diagram of the Apparatus for Solidus Temperature Experiments.

20

Page 30: Phase equilibrium and thermodynamic study of the iron ...

TO POTENTIOMETER =~ r;::::::::: TO CIRCUIT

PLATINEL THERMOCOUPLE

GRAPHITE ROD ASSEMBLY-------;~

MULL ITE TUBE

SAMPLE

GRAPHITE CRUCIBLE

~~ ~ -- -- -· =- -~-::

Figure 8(b) Schematic Diagram of the Apparatus for Solidus Temperature Experiments (Equilibrium with Graphite).

21

Page 31: Phase equilibrium and thermodynamic study of the iron ...

0

Figure 9.

I I ICI>

:! c; 0 0 0

0 0 I~ 1.,0 ,~

I I I

C02 I '-

H

0

0 /co

D 5.15% C02 (C0z!H2 )

• 91.35% C02 (C02 /CO) .& 20.90% C02 (C02 /CO) • 5.12% C02 (C02 /CO)

0 CH 3 COOH .t:. C2 H 50H o CH 3 0H

22

-- CARBON ISOACTIVITY LINES

--- Feo.947 -Fe

CIS-c

0 The Carbon-Oxygen-Hydrogen System at 950 C and 1 Atm Pressure.

Page 32: Phase equilibrium and thermodynamic study of the iron ...

23

composition because of incomplete reaction at 950°C. As an example,

CH4-co2 mixtures oxidized iron even at high carbon activities. Details

of the computer calculations used in calculating Figure 9 are included

in Appendix I.

At 950°C, CO-C02 mixtures were found to be the most suitable.

For lower carbon activities pure CO and co2 were used. Higher carbon

activities were generated using a premixed CO-co2 mixture with pure

co.

The method of mixing CO and co2 in the exact desired proportions 14 35

was similar to that used by Darken and Gurry and later by Muan

except that gases were passed individually through calibrated flow­

meter tubes of a Model 665 Matheson Gas Proportioner. The flowmeter

tubes were calibrated with a soap bubble column. This column consist­

ed of a graduated glass burette, with a small reservoir of soap solu­

tion at the bottom in series with the flowmeter. The rate at which a

soap bubble traveled up the column permitted a calculation of the

gas flow rate. When calibrating co2 or mixtures containing co2 , a

soap solution presaturated with co2 was used.

E. Starting Materials

For sintering iron-copper compacts, an atmosphere of ultra high

purity hydrogen was used. For gas carburization experiments, CO-C02

atmospheres were used. The co2 was supplied by the Matheson Company

as Coleman Instrument grade, with a reported purity of 99.99% min.

by volume. The purity of the CO used (Matheson C.P. grade) was in

excess of 99.5% with 8 ppm. 02 . Cylinders of premixed CO and co2 were

prepared and analyzed by the Matheson Company.

Iron and copper powders were obtained from the United Mineral &

Chemical Corp.; the iron powder was reported to be over 99.99% pure

and copper powder reported to be 99.999% pure. In order to allow for

the surface oxide on the powders, the loss of weight in hydrogen at

1050°C was determined for iron and copper powders. These results are

presented in Appendix II~ along with the chemical analyses of the

metal powders, supplied by the United Mineral & Chemical Corp.

Graphite powder was Fisher #38 reagent grade, the same as was 36

used by Gurry.

Page 33: Phase equilibrium and thermodynamic study of the iron ...

24

F. Alloy Preparation

Alloys up to 10% Cu were made by a powder metallurgy technique. A

list of the alloys prepared is presented in Appendix II.

Iron and copper powders were weighed out on an analytical balance

and thoroughly mixed in a smooth glass mortar. This mixture was com­

pacted into cylindrical pellets 12 mm dia. and 12 mm high. The com­

pacts were sintered in hydrogen for 24 hours at 1050°C and quickly

cooled in the hydrogen. The sintered pellets were cold pressed to

half their height between flat die plates and then reannealed in evacu­

ated fused silica capsules at 1050°C for a minimum of 24 hours. The

samples were quenched by cracking the capsules open under water. This

processing procedure gave fairly homogeneous alloys as verified by

an electron microprobe scan. Optical microscopy verified the absence

of free copper.

The quenched samples were cold rolled into sheet 0.5 mm thick.

The surface was cleaned by sanding with emery paper followed by

ultrasonic cleaning in acetone. Samples were cut from the sheet

as pieces of average size 12 mm x 12 mm and were ultrasonically clean­

ed in acetone before each run.

G. Gas Carburization Experiments

These experiments involved the study of equilibrium of the

following reaction: C02 + £ = 2CO (where £ refers to carbon dis-

solved in austenite). Such a technique has been used quite extensive­

ly to measure carbon activities in the binary Fe-C as well as ternary 12-18

Fe-C-X systems. The experimental technique has been discussed

in detail. 14 •15

Iron-copper compacts were equilibrated with CO-C02 gas mixtures

of known carbon activities, at 9S0°C. The weight gain of the sample

was continuously measured with a Cahn electrobalance, Constant

sample weight was the criterion for assurance that equilibrium

had been attained. Weight changes of 0.01% for a 1 gm sample could

be measured. Pure iron samples were run periodically to calibrate

the various gas mixtures for their carbon activity.

Page 34: Phase equilibrium and thermodynamic study of the iron ...

The apparatus used in these experiments is shown in Figure 6.

The sample was suspended from a hooked fused silica suspension rod

through a hole in the sample. The sample was held at the top of the

furnace for 10 minutes, after insertion into the furnace, while the

air was flushed from the tube with a mixture of CO and co2 • The

sample was then lowered by the fused silica suspension rod to the

hot zone. The upper end of the fused silica rod was then attached

to a hook on the left pan of the electrobalance. The weight gain

of the sample measured by the electrobalance was displayed on a

chart recorder. A more detailed account of the weighing procedure

is included in Appendix III.

25

The sample was first held in a CO-C02 atmosphere of low carbon

activity, until the sample weight became constant. The carbon activity

was then increased in a stepwise fashion and the weight gain after every

activity change was noted. Initially the carbon activity of the mix­

ture was calculated from gas ratios and equilibrium constant data.

These were in agreement with the activities to within+ 0.02 calcula­

ted on the basis of the weight gain of a pure iron sample and the

activity-composition relations for carbon in Fe-C alloys established

by Ban-Ya et a1. 13 On account of the above observation, in later ex­

periments the carbon potential of the gas was established by the

weight gain for a pure iron sample. This method was judged to be a

more accurate way of determining the carbon potential of the gas

mixture as the absolute value was not as important as comparison

between the weight gain of the Fe-Cu alloy and pure iron. Such a

method also took care of changes in buoyancy as a function of gas

composition since the buoyancy was expected to be the same for the

alloy as for pure iron.

A number of data points were checked by decarburization by lower­

ing from a higher carbon activity to a lower one. The weight became

constant to within 0.1 mg of the original weight.

H. Graphite Solubility Experiments 36 The experimental technique used was similar to that of Gurry

for the determination of graphite solubility in gamma iron and later

by Fray and Chipman37 for graphite solubility in Fe-Co and Fe-Ni alloys.

Page 35: Phase equilibrium and thermodynamic study of the iron ...

Gurry saturated his samples at temperature in a hydrogen-toluene at­

mosphere in equilibrium with graphite, at a flow rate of less than

26

40 cc./min. Fray and Chipman used hydrogen saturated with isopropyl

alcohol at room temperature. In this investigation, graphite solubil-o 0 0

ity was determined at 950 , 1000 and 1050 C by saturation of samples

with an atmosphere of wet hydrogen (dew point about 25°C) in equilibrium

with graphite. The purpose of water-vapour was to generate CO and co2

along with methane, and thus to speed up the reaction rate. Water

vapour was preferred over hydrocarbons or other organic liquids, be­

cause there is a lesser possibility of intermediate decomposition

products giving a carbon activity greater than one.

A sketch of the apparatus is shown in Figure 7. A sample of

pure iron and a number of iron-copper alloys were weighed on the

electrobalance, and then packed in fine graphite powder in the center

of a nickel boat 6.3 em long. The boat was pushed in and out of the

furnace by an iron wire.

The boat with the samples was placed in the cold zone of the

furnace whjle it was flushed with nitrogen. The nitrogen was then

replaced by hydrogen and the tube flushed for 10 mins. before pushing

the boat into the hot zone. The position of the samples was confined

to a zone having a temperature profile not less than 2°C below the

maximum temperature of the furnace. In order to minimize carbon con­

sumption, the hydrogen flow rate was kept at less than 8 cc./min.

After equilibration times of 24, 48, 72, 96, 120 and 144 hours, the

boat was pulled to the cold end and the samples removed, cleaned and

weighed on the electrobalance. The experiment was continued till

the samples attained constant weight. The cleaning procedure for the

samples consisted of brushing to remove the adhering graphite follow­

ed by ultrasonic cleaning in acetone.

The weight gain of the pure iron sample compared well with publish­

ed data13 , 36 and served as a check on the accuracy of the method. A

comparison of the results of the present work with published data

is presented in Table X(b) in Appendix IV.

Page 36: Phase equilibrium and thermodynamic study of the iron ...

27

I. Solidus Temperature Determination

The solidus temperature was determined for a 90% Cu-Fe alloy,

as a function of the carbon activity. The presence of liquid, formed

as the sample was heated in a carburizing atmosphere, was detected

by the loss of strength of the sample suspended between two hooks.

The equipment used in this experiment is shown in Figure 8(a)

The furnace was flushed with a gas mixture of fixed carbon activity,

while the sample was held at the top of the furnace. The sample was

then lowered to a position where the temperature was accurately known 0 0

by a previous calibration experiment (temperature range 1050 -1100 C),

Initially the sample was held at 1050°C for 3 hours. Next it was

lowered to positions where the temperature varied from 1060° to 1100°C

and at each position it was held for 20 minutes. At the solidus temper­

ature, a liquid phase formed, and the sample no longer supported its

own weight. As the sample dropped from the hooks, at the solidus temper­

ature a circuit was broken and gave a clear indication of melting.

The thermal decomposition of gas mixtures high in CO in the furnace

tube below the sample made it impossible to generate carbon activities

greater than 0.2, with CO-C02 mixtures. This problem of the thermal

decomposition of high CO mixtures at temperatures above 1000°C was

discussed by Phelps38 and Ban-Ya et a1. 13 In order to obtain the

solidus temperature in equilibrium with graphite a modified technique

was used. The apparatus used is illustrated schematically in

Figure 8(b). A CO-C02 mixture containing 5.72% co2 was allowed to come

to equilibrium with a graphite assembly before it passed over the sam­

ple, which was in turn surrounded by a perforated graphite crucible

containing graphite powder.

Page 37: Phase equilibrium and thermodynamic study of the iron ...

28

IV. EXPERIMENTAL RESULTS AND DISCUSSION

The experimental results are presented in two forms: a tabular

form in Appendix IV and in the form of graphs and diagrams in the

following sections. The experiments were designed to determine the

limits of the austenite field of the iron~copper-carbon system at

950°C and the extent of graphite solubility in iron-copper alloys

as a function of temperature, Additional experiments were conducted

to study the effect of carbon on the solidus temperature. The effect

of copper on the carburization rate was also observed.

A. Presentation of Results

The experimental results are presented in tabular form in

Appendix IV. The results of gas carburization experiments are present­

ed in Tables I through VIII. Figures lO(a) through (g) summarize

the same data in the form of graphs of carbon activity vs. % carbon.

The activity-composition curve for pure iron is superimposed on each

of these graphs to permit a ready comparison of a specific iron-copper

alloy with pure iron. Table IX is a presentation of carbon isoactivity

data derived from Figures lO(a) through (g). 0 0

The results of graphite solubility experiments at 950 , 1000 ,

and 1050°C are presented in Table X(a). The results at 950°C, in

conjunction with isoactivity data from gas carburization experiments,

were used in constructing the 950°C isothermal section of the iron

rich end of the iron-copper-carbon phase diagram (Figure 11). The

y/y + £ phase boundary indicated by a dashed line is a possible

boundary based on apparent "breaks" in the activity-composition curves

as discussed later.

In order to determine accurately the y/y + £ phase boundary, sev­

eral iron-copper-carbon alloys were quenched in water from the carbur­

izing temperature of 950°C, after a holding period of 24 hours. A

metallographic examination at 1000 X showed massive martensite with

no visible precipitate of epsilon before or after etching. Apparent­

ly, the time required to achieve a precipitate, visible at 1000 X,

is in excess of 24 hours at 950°C.

Page 38: Phase equilibrium and thermodynamic study of the iron ...

z 0 ([) 0::: <( (.)

LL 0

>-I--> -I-u <(

1.0

• 0.3 °/o COPPER 0.9 • PURE IRON

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1

0.2 0.4 1.2

WT PCT CARBON

Figure lO(a) Activity of Carbon vs % Carbon at 950°C for a 0.3% Copper Alloy.

29

1.4

Page 39: Phase equilibrium and thermodynamic study of the iron ...

z 0 OJ 0:: <( u LL 0

>-t--> -t-u <(

1.0

• 0.7 °/o COPPER

0.9 • PURE IRON

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1

0.2 0.4 0.6 0.8 1.0 1.2

WT. PCT. CARBON

Figure lO(b) Activity of Carbon vs % Carbon at 950°C for a 0.7% Copper Alloy.

30

1.4

Page 40: Phase equilibrium and thermodynamic study of the iron ...

z 0 ([)

0::: <( u LL 0

>-I--> I-u <(

1.0

• 1.0 °/o COPPER

0.9 • PURE IRON

0.8

0.6

0.5

0.4

0.3

0.2 0.4 0.6 0.8 1.0 1.2

WT. PCT CARBON

Figure lO(c) Activity of Carbon vs % Carbon at 950°C for a 1.0% Copper Alloy.

31

1.4

Page 41: Phase equilibrium and thermodynamic study of the iron ...

z 0 a:l a:: <( u lJ... 0

>-.,_ -> -.,_ u <(

1.0 • 1.3 °/o COPPER

0.9 • PURE IRON

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1

0.2 0.4 0.6 0.8 1.0 1.2

WT. PCT CARBON Figure lO(d) Activity of Carbon vs % Carbon at 950°C for

a 1.3% Copper Alloy.

32

1.4

Page 42: Phase equilibrium and thermodynamic study of the iron ...

z 0 (]) a: <( u LL. 0

>-~ -> -1-u <(

• 2.5 °/o COPPER • PURE IRON

0.4

0.3

0.2

0.2 0.4 0.6 0.8 1.2

WT. PCT. CARBON Figure lO(e) Activity of Carbon vs % Carbon at 950°C

for a 2.5% Copper Alloy.

33

1.4

Page 43: Phase equilibrium and thermodynamic study of the iron ...

z 0 CD 0:: <( u LL 0

>-t--> t-u <(

• 3.0 °/o COPPER

0.9 • PURE IRON

0.8

0.7

0.6

0.5 .... .... -I

0.4 I I

I I

0.3 I I

0.2

0.1

0.2 0.4 0.6 0.8 1.0

WT. PCT CARBON

Figure lO(f) Activity of Carbon vs % Carbon at 950°C for a 3.0% Copper Alloy.

34

1.4

Page 44: Phase equilibrium and thermodynamic study of the iron ...

z 0 m a:: <( u LJ.. 0

>-I--> -I-u <(

• 3.5 °/o COPPER • PURE IRON

0.4

0.3

0.2

0.1

0.2 0.4 0.6 1.0 1.2

WT. PCT. CARBON

Figure lO(g) Activity of Carbon vs % Carbon at 950°C for a 3.5% Copper Alloy.

35

1.4

Page 45: Phase equilibrium and thermodynamic study of the iron ...

-- ISOACTIVITY LINES --- POSSIBLE PHASE

BOUNDARIES 950° c

y + E + C(gr)

y + C(gr)

2.0

WT. PCT CARBON

3.0

Figure 11. Isothermal Section of the Iron-Rich End of the Iron-Copper-Carbon Phase Diagram.

36

4.0

Page 46: Phase equilibrium and thermodynamic study of the iron ...

The solubility of copper in iron-copper austenite was taken

from the work of Speich et al. 7 The solubility of co~per, obtained

by solving their equation is given in the table below;

Solubility of Copper in Austenite*

Temperature 0 c

950

1000

1050

Solubility % Cu

4.086

4.943

6.172

* From Equation 1, p. 5

Figure 12 shows the extent of the stable austenite field based

on graphite solubility measurements. As indicated earlier the

y/y + £ phase boundary at 950°C was based on apparent "breaks" in

isoactivity curves. At 1000°C and 1050°C 1 this boundary was taken

37

as a line joining the break in the graphite solubility curve and the

y/y + £ boundary points in the iron-copper system. The effect of copper 0 0 0

content on graphite solubility at 950 , 1000 , and 1050 C is present-

ed in Figu:re 13.

The results of the solidus determination for an iron-copper alloy

containing 90% copper initially are presented in Table XI. Figure 14

is a graphical representation of the same data. The effect of carbon

activity, up to 0.2, was obtained by a gas carburization technique and

is indicated in Figure 14 by a bold line. This line is extended as

a dashed line to meet the point representing the solidus temperature

in equilibrium with graphite. The solidus temperature in this work

is the temperature at which the first liquid forms, and is the copper-6

rich peritectic temperature referred to by Maddocks and Claussen.

Table XII contains the time for various alloys (up to 1.3% copper) 0

to reach the equilibrium carbon content at 950 C. Figure 15 graphical-

ly represents this data. The time given represents the time for a

Page 47: Phase equilibrium and thermodynamic study of the iron ...

38

-- GRAPHITE SOLUBILITY --- POSSIBLE PHASE

0 eo· I I

o I (I)· I

\ I \ I \ I \ I \ I \ I \ \ \ ~

2.0

WT. PCT. CARBON

BOUNDARIES • 950 oc .. 1000 °C • 1050 °C

3.0

Figure 12. The Effect of Temperature on the Extent of the Austenite Field.

4.0

Page 48: Phase equilibrium and thermodynamic study of the iron ...

~

t-= 3: z l.J.J ...._ :r: CL <( a:: (!)

LL 0

>-...._ _J

CD ::> _J 0 en

0.6

0.4

• 950° c 4 1000° c • 1050° c " POSSIBLE BOUNDARY

2.0

WT. PCT. COPPER

Figure 13. The Effect of Copper on the Solubility of Graphite in Iron-Copper Alloys.

39

4.0

Page 49: Phase equilibrium and thermodynamic study of the iron ...

(.) 0

w a:: ::::> I-<( a:: w a.. ~ w I-

en ::::> 0 _J 0 en

1100

1096

1092

1088

1084

-----------1080

--..._ -----1076

1072

1068 0.1 0.7 0.8 0.9

ACTIVITY OF CARBON

Figure 14. The Effect of Carbon Activity on the Solidus Temperature for a 90% Copper Alloy

40

-..

1.0

Page 50: Phase equilibrium and thermodynamic study of the iron ...

(/)

a:: ::::> 0 I

z

w ~ f-

z 0 -f­<( 0::: (I)

.....1 -::::> 0 w

7

6

5

4

3

2

0.2 0.4 0.6

TEMPERATURE 950° C

CARBON ACTIVITY 0.08

0.8 1.0 1.2 1.4

WT. PCT. COPPER

Figure 15. The Effect of Copper Content of the Alloy on Time to Reach the Equilibrium Carbon Content During Gas Carburization.

41

1.6

Page 51: Phase equilibrium and thermodynamic study of the iron ...

sample containing no carbon to come to equilibrium with a gas whose

carbon activity was 0.08. A similar time could not be read directly

from the weight gain data for higher carbon levels because the time

to reach equilibrium could be compared only if the initial and final

activity was the same. This generally was not the case.

B. Discussion of Results

1. Gas Carburization and Graphite Solubility

Copper and carbon are both soluble in austenite but they are

practically insoluble in each other. Hence, it was expected that,

in a ternary alloy, each would have a significant influence on the

solubility of the other.

Gas carburization and graphite solubility experiments covered

the range from low carbon activities to graphite saturation, for

iron-copper alloys up to 6 pet. copper. The gas carburization re­

sults were plotted in the form of activity-composition curves for

carbon. In the single phase region, a smooth curve was expected,

with a change in slope or a "break'' as the second phase precipitated.

42

39 Work on the Ti-0-H system by Hepworth and Schuhmann contains hydrogen

solubility plots, which show a discontinuity or "break" corresponding

to a transition from aTi to aTi + STi. In the present work, the exact

position of the break is not clear for the number of runs made. A

larger number of points need to be determined in the vicinity of the

break to accurately determine the position of the break.

The results of gas carburization experiments show that, in

general, the addition of copper increases the activity of carbon.*

This effect of copper is in agreement with Sorokin's observation30

of a decrease in carbon content with copper addition during sintering

of iron-copper compacts in a carburizing medium at 950°C. (see

Figure 5, p. 14) He cites an earlier work in which the addition of

* The alloy containing 1% copper exhibited an anomalous behaviour above a carbon activity of about 0.4 where a lowering of carbon activity was observed with covper addition.

Page 52: Phase equilibrium and thermodynamic study of the iron ...

43

2.7% copper reduced the carbon absorbtion by 50%. 27 Shoji et al.

also report a slight decrease in the carbon content with copper

addition, at 930°C and a tixed carbon activity (their pure iron

sample picked up 0.85% carbon), Since their data is so fragmentary~

a qualitative agreement with the present work is all that can be noted.

The present result is in apparent disagreement with the work of

Yoshida and Sano. 22 They noted a slight decrease in carbon activity

by copper addition in the temperature range 850°-950°C. Chipman and

Brush21 indicate a lack of quantitative data for establishing interac­

tion parameters for the activity of carbon in copper-alloyed austenite.

The calculated values of the activity coefficient of carbon in

austenite at 950°C, for copper contents up to 0.7% are presented in

Table XIII and graphically in Figure 16. Graphite was taken as

the standard state for carbon. The activity coefficient was defined

as follows:

f = a I (%C) c c (5)

It was not possible to carry out a similar calculation for higher

copper contents, as too few points were available in the single phase

field. As seen from Figure 16, copper increased the activity coeffic­

ient of carbon in austenite.

Graphite solubility decreased with the addition of copper at all

three temperatures. This behaviour seems to confirm the results of

gas carburization experiments where the solubility of carbon in iron­

copper alloys at high carbon activities was less than that for pure

iron. The effect of copper is similar to that of nickel, cobalt and

silicon. 37 The graphite solubility values for high copper alloys were

lower than the corresponding values obtained by extrapolation of the

gas carburization data to an activity of carbon of one. The reason for

this must await further work. The effect of copper on the graphite

solubility is more pronounced at 950°C than at 1050°C (Figure 13).

The knowledge of the austenite fields in the form of isothermal

diagrams, such as Figures 11 and 12, can be utilized by the heat treat­

er in selecting heat treatment conditions for copper bearing steels.

This may involve selecting an austenitizing temperature for a hardening

operation or a normalizing operation.

Page 53: Phase equilibrium and thermodynamic study of the iron ...

(.) ...... 0 0

44

TEMPERATURE 950°C

• 0.7 °/o COPPER • 0.3 °/o COPPER • PURE IRON

-0.3

-0.2

-0.1

0.2 0.4 0.6 0.8 1.0 1.2 1.4

WT. PCT. CARBON

Figure 16. The Effect of Copper on the Activity Coefficient of Carbon.

1.6

Page 54: Phase equilibrium and thermodynamic study of the iron ...

45

2. Solidus Temperature Determination

The temperature referred to in the present investigation as the

"solidus temperature" is the copper~rich peritectic temperature deter-6

mined by Maddocks and Claussen by thermal analysis. Copper melts at 0

1083 C; however, for Fe-Cu alloys containing more than about 5% iron,

the lowest temperature at which a liquid forms is 1094°c. 3 It was

of interest to determine if this temperature could be lowered by

carbon addition.

As mentioned earlier carbon activities up to 0.2 were obtained by

gas carburization, and an activity of one was obtained by equilibrium

with graphite. A lowering of the peritectic temperature was observed,

with the temperature dropping from 1095°C in the binary iron-copper

system to 1078°C in equilibrium with graphite. Maddocks and Claussen6

state that the peritectic temperature does not change due to the pre­

sence of carbon. Their data does show an appreciable lowering, however,

in two alloys investigated. The temperatures were measured accurately

in this experiment so that it seems that the lowering was real and

not due to fluctuation in temperature. The solidus temperature in the

iron-copper system was determined as 1095°C, which agrees well with 0 3 the reported value of 1094 C.

In the present work, phases occurring after melting were not

identified. A more accurate determination with greater emphasis on

the assurance of attainment of equilibrium, and identification of the

phases after melting should yield a better insight in understanding

liquid phase sintering and the volume changes occurring in the sinter­

ing of iron-copper-carbon alloys. Such determinations can also give

information on temperatures and compositions at which "hot shortness"

would occur in steels.

3. Kinetics of Carburization

Although the present investigation was concerned mostly with the

thermodynamics and phase relations of the system, certain observations

were made on the rate of carburization from weight gain vs. time data.

As mentioned earlier, the experimental technique permitted a contin­

uous measurement of the weight gain as the sample came to equilibrium

with the gas.

Page 55: Phase equilibrium and thermodynamic study of the iron ...

46

The e~~ect of copper is to shorten the time required to reach

equilibrium carbon content at 950°C trom a gas having a carbon activity

of 0.08, for samples containing initially no carbon. A similar

effect was observed during carburization at higher activities of

carbon but no quantitative results could be obtained because exactly

identical carbon activities were not maintained for different alloys.

This observation compares with the remark of Shoji and Yamada26 where

a shorter carburizing time was found for sintered iron-copper alloyed

powders in comparison to nickel alloyed powders.

C. Suggestions for Further Work

On the basis of this investigation certain areas seems particular­

ly interesting for further work:

For the temperatures investigated, additional data points should

be obtained around the vicinity o;f the "break", in order to accurately

fix the position of the "break". Longer equilibration times or examina­

tion of carburized specimens by electron microscopy would accurately

locate the y/y + E phase boundary. The solubility of graphite in high

copper alloys needs to be redetermined with longer equilibration times,

in order to resolve the discrepancy between graphite solubility and gas

carburization data.

The ternary austenite field needs to be investigated at other tem­

peratures, both higher and lower than investigated here. This would

involve determination of both isothermal sections and carbon activities.

Of particular importance would be the composition of austenite up to

the solidus temperature. Equilibrium times needed to render precipitat­

ed epsilon phase detectable metallographically should be determined.

This would permit an accurate determination of the y/y + E phase bound­

ary.

With a larger number of data points for the activity of carbon in

the single phase field, a ternary Gibbs~Duhem integration can be per-. 40

formed us~ng Schuhmann's method to determine the activities of copper

and iron in austenite. The complete thermodynamic properties of iron­

copper-carbon austenite could then be determined.

The peritectic temperature at the copper-rich end needs to be

determined to establish the effect of carbon. Emphasis must be made

Page 56: Phase equilibrium and thermodynamic study of the iron ...

on the assured attainment of equilibrium, and on the identification

of the phases after melting.

Maddocks and Claussen6 reported the raising of the iron-carbon

eutectic by the presence of copper. The composition of the liquid

47

and austenite phase at this temperature would be useful in understand­

ing the behaviour of copper in cast irons.

The kinetics of carburization of sintered iron-copper compacts

and of carburizing during sintering needs further work. As part of

such an investigation it would be of interest to determine the carbon

profile across sintered compacts, to assist in the design of process­

es for designing powder metallurgy parts.

Page 57: Phase equilibrium and thermodynamic study of the iron ...

V. SUMMARY AND CONCLUSIONS

The 950°C isothermal section of the iron-rich end of the iron­

copper-carbon phase diagram was constructed, based on the results

48

of gas carburization experiments in conjunction with graphite solubil­

ity results. Isoactivity lines for carbon are superimposed on the

diagram. The effect of copper was to increase the activity of carbon

and decrease its solubility. Graphite solubility experiments at 950°,

1000°, and 1050°C showed that the graphite solubility was lowered by

copper addition. The effect of copper was more pronounced at the

lower temperature.

For copper rich alloys, a lowering of the solidus temperature

was observed with increasing carbon contents. A value of 1078° was

obtained in equilibrium with graphite. Copper was also shown to in­

crease the rate of carburization.

The application of the results of this work has been mentioned

and suggestions for further work have been made.

Page 58: Phase equilibrium and thermodynamic study of the iron ...

49

BIBLIOGRAPHY

1 "L. t t f " • 1 era ure re erences on Copper in Steel, 1951-63, British Iron and Steel Research Association, 1964, pp. 20.

2. K. Parameswaran and A.E. Morris, "Bibliography on Copper in Iron, Steel and Related Systems," 1964-70, International Copper Research Association (to be published).

3. Max Hansen, "Constitution of Binary Alloys," McGraw-Hill Book Company, Inc., New York, 1958, pp. 353-365, 580-582.

4. Rodney Elliott, "Constitution of Binary Alloys - 1st Supplement," McGraw-Hill Book Company, Inc., New York, 1965, pp. 212-213, 372-373.

5. Ralph Hultgren, Raymond L, Orr, and Kenneth K. Kelley, "Supplement to Selected Values of Thermodynamic Properties of Metals and Alloys," University of California, Berkeley, California, June 1968.

6. W.R. Maddocks and G.E. Claussen, Iron Steel Institute (London), Special Report No. 14, 1936, pp. 97-117. (Data from above redrawn in Metals Handbook, 1948 Edition, American Society for Metals, Metals Park, Ohio, p. 1250).

7. G.R. Speich, J.A. Gula and R.M. Fisher, "Diffusivity and Solubility Limit of Copper in Alpha and Gannna It:on, The Electron Microprobe," John Wiley and Sons Inc., New York, 1966 7 pp. 525-542.

8. Francis A. Shunk, "Constitution of Binary Alloys- 2nd Supplement," McGraw-Hill Book Company, Inc., New York, 1969, pp. 143-144.

9. T. Ishiwara, T. Yonekura and T. Ishigaki, "On The Ternary Diagram of the System Iron, Carbon, and Copper, 11 Sci. Rep. , Sendai, ser. 1, 1926, Vol. 15, pp. 81-114.

10. J.L. Gregg and B.N. Daniloff, "The Alloys of Iron and Copper," McGraw-Hill Book Company, Inc., New York, 1934, pp. 7-53.

11. L. Habraken and T. Greday, "Copper in Carbon and Low Alloy Steels," Metalen, 1966, Vol. 40, No. 8, pp. 262-273.

12. J.A. Lund and A.M. Lawson, "Massive Martensite Reaction in Eutectoid Iron-Copper Alloys," Trans. Met. Soc. AIME, April 1966, Vol. 235, pp. 581-583.

13. Shiro Ban-Ya, John F. Elliott, and John Chipman, "Thermodynamics of Austenitic Iron-Copper Alloys," Trans. Met. Soc. AIME, May 1970, Vol. 1, pp. 1313-1320,

14. L.S. Darken and R.W. Gurry, ''The System Iron-Oxygen II. Equilibria and Thermodynamics of Liquid Oxide and Other Phases,'' J. Am. Chem. Soc., 1946, Vol. 68, pp. 798-816.

Page 59: Phase equilibrium and thermodynamic study of the iron ...

50

15. R.P. Smith, "Equilibrium of Iron-Carbon Alloys with Mixtures of CO-C02 and CH4-H2 ," J. Am. Chem. Soc. 1946, Vol. 68, pp. 1163-1175.

16. Shiro Ban-Ya, John F. Elliott and John Chipman, "Activity of Carbon in Fe~c Alloys at 1150°C," Trans. Met. Soc. AIME, 1969, Vol. 245, 1199-1206.

17. Toshisada Mori, Kimio Fujimura, Hiraoki Okajima, and Akio Yamauchi, ''E;(:fects of: Chromium, Copper and Tin on Carbon Activity of High Carbon Liquid Steel," Tetsu-to-Hagane, 1968, Vol. 54, No. 4, pp. 321-329.

18. L.A. Shvartsman and I.A. Tomilin, "Activity of Carbon in Molten Iron," Doklady Akad. Nauk SSSR, 1968, Vol. 179, No. 5, pp. 1159-1162.

19. Theodore P. Christini, "Determination of Iron Activities in Solid Iron-Copper Alloys by Use of a Solid Electrolyte Technique," Ph.D. Thesis, The Pennsylvania State University, 1970.

20. John Joseph Demchalk, "Residual Elements in Scrap Iron - An Equilibrium Study of the Residual Element Copper," Ph.D. Thesis, The Pennsylvania State University, 1970.

21. John Chipman and Edwin F. Brush, "The Activity of Carbon in Alloyed 0

Austenite at 1000 C," Trans. Met. Soc. AIME, January 1968, Vol. 242, pp. 35-41.

22. T. Yoshida and K. Sano, Mem. Fac. Eng., Nagoya University, 1953, Vol. 5, pp. 96-99.

23. Alan Moss, "Copper as an Alloy in Steel and Cast Iron," Australasian Engg., 1967, pp. 33-34, 36.

24. C. Corsetti and N. Valota, "Cast Irons Containing Copper," Fond. Ital., Vol. 15, No. 10, pp. 343-352.

25. G. Bockstiegel, "Nature and Causes of Volume Changes in the Sintering of Iron-Copper and Iron-Copper-Graphite Powder Compacts," Translated from Stahl Und Eisen, 1959, Vol. 17, pp. 1187-1196.

26. K. Shoji and S. Yamada, "Gas Carburizing and Quenching of Sinter­ed Ferrous Materials, 11 Translated from Tetsu-to-Hagane, 1968, Vol. 54, No. 4, pp. 410-415.

27. K. Shoji, H. Mitani and S. Yamada, "Gas Carburizing of Iron and Iron-Copper Powders," Translated from Tetsu-to-Hagane, 1969, Vol. 55, p. S233.

28. K. Shoji and S. Yamada, "Controlled Atmospheres in Furances for the Sintering of Iron Powder Products," Translated from Tetsu­to-Hagane, 1963, Vol. 49, No. 10, pp. 1507-1508.

Page 60: Phase equilibrium and thermodynamic study of the iron ...

29. V.K. Sorokin, "Effect of Copper and Graphite on :Properties of Sintered Iron-Base Alloys," Translated from :Metalloveden;i.e I Term. Obrabotka Metallov, December 1960~ pp. 42-43.

51

30. V.K. Sorokin, "Effects of Copper on Carbon Absorbtion in Sintering Iron Copper Alloys," Translated from Metallovedenie I. Term. Obrabotka Metallov, October 1959, pp. 61-62.

31. V. K. Sorokin 7 "Effect of Small Additions of Copper on the Sinter­ing of Stainless Steel (Powders)," Translated from Izvest. Vuz­Chern. Met., 1966, Vol, 9, No. 11, pp. 127-128.

32. A. Domsa, "Effect of Copper on the Performance of Bearings of Sintered Iron-Graphite Powders," Translated from Neue Hutte, March 1964, Vol. 9, pp. 186-188.

33. Robert L. Crosby, D.H. Desy, and Robert M. Doerr, "Use of Cement Copper in an Iron-Copper-Carbon Powder Metallurgy Alloy," Report of Investigations No. 7348, U.S. Bureau of Mines, February 1970, pp. 14.

34. R.W. Gurry, "Composition of Atmospheres Inert to Heated Carbon Steels," Trans. AIME., Journal of Metals, April 1950, Vol. 188, pp. 671-687.

35. A. Muan, "Phase Equilibria in the System FeO-Fe2o3-Si02 ," Trans. AIME, 1955, Vol. 203, pp. 965-976.

36. R.W. Gurry, "The Solubility of Carbon as Graphite in Ganuna Iron," Trans. AIME, 1942, Vol. 150, pp. 147-156.

37. Derek J. Fray and John Chipman, ''The Solubility of Graphite in Iron-Nickel and Iron-Cobalt Alloys at 1000°C, Trans. Met. Soc. AIME, May 1969, Vol. 245, pp. 1143-1144.

38. W.C. Phelps Jr., "Thermodynamics of the Iron-Carbon-Silicon System," Ph.D. Thesis, Purdue University, 1960.

39. M.T. Hepworth and R. Schuhmann, Jr., "Thermodynamic Properties of Titanium-Hydrogen-Oxygen Alloys," Trans. Met. Soc. AIME, October 1962, Vol. 224, pp. 928-935.

40. R. Schuhmann, Jr., "Application of Gibbs-Duhem Equations to Ternary Systems," Acta Metallurgia, May 1955, Vol. 3, pp. 219-226.

41. R. Littlewood, "Thermodynamics of the Interaction of Atmospheres with Alloy Steels," Jour. of the Iron and Steel Institute, February 1964, Vol. 202, pp. 143-146.

Page 61: Phase equilibrium and thermodynamic study of the iron ...

52

42. Richard A. Robie and David R. Waldbaum~ "Thermodynamic Properties o~ Minerals and Related Substances at 298.15°K and One Atmosphere Pressure and at Higher Temperatures~" Geological Survey Bulletin 1259, Washington, 1968, p. 80, 100, 101~ 109, 114.

43. W.B.A. Sharp and D. Mortimer, "Accurate Thermogravimetry in Flowing Gases,'' Jour. of Sci. Inst., 1968, Vol. 1, ser. 2, pp. 843-846.

Page 62: Phase equilibrium and thermodynamic study of the iron ...

VITA

Krishna Parameswaran was born March 3, 1946 in Madras, India.

He received his primary and secondary education in Bombay, India.

He received a Bachelor of Technology Degree in Metallurgical

Engineering from the Indian Institute of Technology, Bombay, India

53

in August 1968. He entered the University of Missouri-Rolla in

January 1969 for a Master of Science Degree in Metallurgical Engineer­

ing.

He is a student member of the American Society of Metals and

the Metallurgical Society of AIME.

Page 63: Phase equilibrium and thermodynamic study of the iron ...

54

APPENDICES

Page 64: Phase equilibrium and thermodynamic study of the iron ...

APPENDLX I

CALCULATION OF ATMOSPHERES WITH A SPECIFIC ACTIVITY OF CARBON AT 950°C

55

A. Gurry's Diagram at 950°C and 1 Atm Pressure 34

In Gurry's diagramatic method of representation~ the equilibrium

compositions are represented by atomic fractions of the constituents of

the gas phase. The principal advantage of Gurry's method, is that the

entire range of composition can be covered in a single diagram. Atomic

fractions can be easily correlated with the room temperature analysis.

A representation involving atomic fractions is independent of tempera­

ture in contrast with equilibrium compositions in terms of molecular

species in a gas mixture, which change with temperature. The only

aspect not covered by such a representation is the molecular constitu­

tion of the equilibrated gas.

Endothermic atmospheres used in carburizing are composed of CO,

C0 2 , CH4 , H2 , H20 and N2 • The atmosphere is in equilibrium with a

steel (comprised of Fe and C). Such a system is a five component

system. If there is a single condensed phase, such as austenite, in

equilibrium with the atmosphere then the degrees of freedom as given

by the phase rule is 5. A set of 3 independent reactions chosen are:

2CO (6)

(7)

(8)

Two degrees of freedom remain after the temperature, total pressure

and carbon activity are fixed. In the present calculations, nitrogen

free atmospheres were considered. Hence, by choosing the CO content

of the atmosphere arbitrarily, the composition of the rest of the gas

phase was fixed by chemical equilibrium.

(9)

Page 65: Phase equilibrium and thermodynamic study of the iron ...

(CH4) 2 :::: Kzac (Hz)

(H20) (C02) (H2)

::::

acK1K3

(CO) + (C02) + (CH4 ) + (H2) + (H20) p

where

(X) = molecular partial pressure of constitutent X

P = total pressure in atmospheres

a = activity of carbon (standard state graphite) c

56

(10)

(11)

(12)

At a given temperature, activity of carbon, total pressure and cho­

sen (CO) content, the (C02) content was determined from Equation (9).

Equations (10), (11) and (12) were then solved simultaneously to obtain

the (cH4), (H2), and (H20) contents. The equilibrium composition was

converted to atomic partial pressures as follows:

(13)

(14)

H (15)

s C + 0 + H (16)

A computer program was written to carry out these calculations

and the atomic fractions C/S, 0/S, and H/S were printed out for var­

ious carbon activities. The program is similar to the one used by

Littlewood. 41 The calculations were done for 950°C and 1 atm total

pressure. The results are plotted in Figure 9 (p.ZO ), where the

coordinates are the atomic fractions. On this plot various molecular

constituents were represented by appropriate points. Gas mixtures to

give a desired carbon activity can be calculated by the application of

the lever rule.

Page 66: Phase equilibrium and thermodynamic study of the iron ...

57

The atomic fractions representing conditions where iron is in equilib­

rium with wustite at 950°C were calculated using equilibrium constant 42 data from Robie and Waldbaum. The results are superimposed on the

diagram as a dashed line. Gas mixtures lying to the left of this line

tend to oxidize iron.

B. Source of Data for the Calculations

The thermodynamic data used for the calculations was obtained from

a recent compilation. 42 Log K values for the formation of CO, co2 , 0 0 0 CH4 and H20 at 1100 K, 1300 K, and 1500 K were used to calculate the

constants A, B, and C for the formula:

Log K = A + B + CT eq T

where T is °K

A

co 5738

co2 20592

H2 12843

CH4 4639

B

4.843

0.115

-2.673

-5.563

c

-1.22 X 10-4

-0.30 X 10-4

-1.09 X 10-4

-0.91 X 10-4

From this data Log K for the three reactions of interest (Equations

(6), (7) and (8) are:

Log Kl - 91i6 + 9.572 - 2.14 X l0-4T

Log K2 4639 5.563 - 0.91 l0-4T = --- X

T

Log K3 2011 2.055 + 2.01 l0-4T = --- X

T

(17)

Page 67: Phase equilibrium and thermodynamic study of the iron ...

These values of these equilibrium constants were calculated at

50°C intervals for the temperature range 700°C-1400°C and are shown

below:

T°C Kl K2 K3

700 0.98 0.130 1.61

750 2.8 0.076 1. 31

800 7.0 0.046 1.1

850 16 0.029 0.91

900 35 0.019 o. 78

950 71 0.013 0.68

1000 140 0.0092 0.60

1050 250 0.0067 0.53

1100 440 0.0049 0.48

1150 730 0.0037 0.44

1200 1170 0.0028 0.40

1250 1820 0.0022 0.37

1300 2750 0.0017 0.34

1350 4050 0.0014 0.32

1400 5800 0.0011 0.30

58

Page 68: Phase equilibrium and thermodynamic study of the iron ...

APPENDIX II

STARTING MATERIALS AND LIST OF ALLOYS PREPARED

The chemical analysis of the metal powders as supplied by the

United Mineral & Chemical Corp. is given below:

59

Iron powder, Grade I Iron Sponge, -325 mesh, Reported purity 99.99% min.

Spectrographic analysis:

Copper powder, -325 mesh,

Spectrographic analysis:

Graphite powder, Acheson

Cu

lppm.

max.

Reported

Cd

lppm.

max.

Mg Mn Si

lppm. 3ppm. 2ppm.

purity 99.999% min.

Cr Mn Si

lppm. lppm. lppm.

max. max. max.

No. 38 grade.

Ag Fe

lppm. lppm.

max.

In order to account for the surface oxide on metal powders a loss

of weight in hydrogen at 1050°C was determined and is reported below:

Batch 1

Iron powder 1.150%, Copper powder 0.188%

Batch 2

Iron powder 1.365%, Copper powder 0.266%

Alloys having the following % Cu were prepared:

0.0, 0.1, 0.2, 0.3, 0.5, 0.7, 1.0, 1.3, 1.6, 2.0, 2.5, 3.0, 3.5, 4.0,

4.5, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 90.0. Alloys underlined were used

in one or more of the experiments, the others kept for future use.

Page 69: Phase equilibrium and thermodynamic study of the iron ...

,AJ;JPENDIX lU

WEIGHING PROCEDURE AND SOUR.CES OF ERROR IN THERMOGRAVJMETR.Y

The weight gain of the samples in gas carburization experiments

was measured on a Cahn RH electrobalance and recorded on a Texas In­

struments chart recorder.

60

The balance was calibrated for a weight of 7 gms. A brief outline

of the calibrating procedure is outlined below:

Balance control setting.

Mass Dial range: 100 mgs.

Recorder range: 10 mgs.

Hi-Lo: Lo

Factor: 1

Filter: 3

Calibrating weight: 0.5 x Mass dial range (50 mgs.)

The maximum sample weight was 2 gm and was expected to gain less

than 2% or 40 mg. To allow for greater flexibility the next highest

range was selected.

(1) The mass dial was set on 0.5000 and the recorder was zeroed

in with the set 50% control.

(2) The calibrating weight was removed. The mass dial was set

to 0.0000 and the recorder zeroed in with the set 0-100% control.

(3) The calibrating weight was replaced and mass dial set back

to 0.5000. Steps (1), (2), (3) were repeated till no adjustment was

necessary in going back to (1).

(4) Leaving the calibrating weight on, the recorder range switch

was set at 10% of mass dial range or 10 mg. Mass dial was set on

0.4000 and the recorder was set at 100% using the calibrate recorder

control.

The calibration was checked from time to time with 1, 5, and 10 mg

calibrating weights.

The sample was weighed on an analytical balance. The weights on

the left pan of the electrobalance were adjusted so that the fused

Page 70: Phase equilibrium and thermodynamic study of the iron ...

61

silica rod suspension assembly and the sample would weigh within the

calibrated range. The weight of the sample at any time was the sum of

the mass dial reading and the recorder reading.

The precision in measurement was 0.01%.

The usual sources of error in thermogravimetry discussed by Sharp

d . 43 an Mort~mer are:

(1) Heating of the balance from furnace heat. Only the lower part 0

of the hangdown tube was heated to about 10 C above room temperature.

Also, since most of the runs were isothermal, error from balance heating

was not significant.

(2) Electrostatic effects due to charges on glass components.

(3) Bouyancy errors.

(4) Gas turbulence.

In these experiments, the technique was to compare the weight gain

of an alloy with pure iron. Bouyancy errors were assumed to be of the

same magnitude for iron as for iron-copper alloys. The random noise

on the chart was within ! 0.1 mg with no sharp changes; so that it was

assumed that errors due to electrostatic and gas turbulence effects

were not significant.

Page 71: Phase equilibrium and thermodynamic study of the iron ...

62

APJ?ENDI.X IV

SUMMARY OF EXPERIMENTAL RESULTS

A. Gas Carburization Experiments

The results of gas carburization experiments at 950°C are present­

ed in Tables I through VIII. The carbon content was determined from

the weight gain measurements on the electrobalance.

Table I Activity of Carbon vs % Carbon for Pure Iron

Activity of Carbon a c

0.08

0.12

0.20

0.29

0.37

0.43

0.68

o. 79

1. 00

Wt. % Carbon % c

0.17

0.27

0.40

0.55

0.67

0.76

1.07

1.18

1.37

Table II Activity of Carbon vs % Carbon for 0.3% Cu Alloy

Activity of Carbon a

c

0.08

0.16

0.33

0.44

0.61

0.69

Wt. % Carbon % c

0.04

0.26

0.48

0.66

0.90

0.96

Page 72: Phase equilibrium and thermodynamic study of the iron ...

Table III Activity of Carbon vs% Carbon for 0.7% Cu Alloy

Activity of Carbon a

c

0.07

0.17

0.30

0.40

0.61

0.69

0.92

Wt. % Carbon % c

0.03

0.21

0.41

0.56

0.87

0.96

1.25

Table IV Ac ti vi ty of Carbon vs % Carbon for 1. 0% Cu Alloy

Activity of Carbon a c

0.07

0.11

0.27

0.44

0.61

0.71

Wt. % Carbon % c

0.13

0.18

0.41

0.86

1.11.

1.36

63

Page 73: Phase equilibrium and thermodynamic study of the iron ...

Table V Activity of Carbon vs % Carbon for 1.3% Cu Alloy

Activity of Carbon a

c

0.06

0.13

0.23

0.46

0.55

0.71

0.81

0.95

Wt. % Carbon % c

0.14

0.25

0.42

0.67

0.91

1.09

1.19

l. 29

Table VI Activity of Carbon vs % Carbon for 2.5% Cu Alloy

Activity of Carbon ac

0.06

0.16

0.26

0.46

0.53

0.66

0.74

0.82

0.90

0.96

Wt. % Carbon % c

0.12

0.25

0.41

0.54

o. 79

0.87

1.01

1.08

1.15

1.18

64

Page 74: Phase equilibrium and thermodynamic study of the iron ...

Table VII Activity of Carbon vs% Carbon for 3.0% Cu Alloy

Activity of Carbon a c

0.07

0.11

0.25

0.49

0.56

0.71

0.84

Wt. % Carbon % c

0.11

0.18

0.38

0.66

0.80

0.94

1.07

Table VIII Activity of Carbon vs % Carbon for 3.5% Cu Alloy

Activity of Carbon a c

0.06

0.15

0.21

0.25

0.35

0.53

0.64

0.82

0.94

Wt. % Carbon % c

0.12

0.29

0.37

0.47

0.54

o. 79

0.94

1.14

1.14

65

Page 75: Phase equilibrium and thermodynamic study of the iron ...

66

Table IX presents isoactivity data, obtained ;(rom ;Figures 10 (a)

through lO(g) -Gas Carburization Experiments.

Table IX Isoactivity of Carbon at Di;fferent Copper Alloys

Activity of % Copper carbon a 0.0 0.3 0.7

c 1.0 1.3 2.5 3.0 3.5

0.1 0.22 0.10 0.08 0.17 0.22 0.19 0.16 0.20

0.2 0.41 0.28 0.25 0.32 0.37 0.33 0.32 0.36

0.3 0.57 0.45 0.41 0.47 0.50 0.45 0.45 0.50

0.4 0. 72 0.60 0.57 o. 70 0.60 0.52 0.55 0.64

0.5 0.86 0.75 0.72 0.94 o. 71 0.65 0.71 0.78

0.6 0.98 0.88 0.85 1.10 0.98 0.83 0.85 0.90

0.7 1.10 0.97 0.98 1.32 1.08 0.97 0.94 1. 02

0.8 1.20 1.11 1.18 1.07 1. 03 1.11

0.9 1.29 1.23 1.26 1.14

1.0 1. 37

Page 76: Phase equilibrium and thermodynamic study of the iron ...

67

B. Graphite Solubility Experiments

Table X(a) summarizes the results of graphite solubility experi­

ments. Table X(b) gives a comparison of these results of this work for

pure iron with published data.

*

Table X(a) Solubility of Graphite in Iron-Copper Alloys

Alloy Graphite Solubility (% C) Content Temperature

% Cu 950°C l000°c 1050°C

0.0 1.32 1.51 1.65

0.2 1. 25 1.45 1. 57

0.3 1.60

0.5 1.10 1.37 1.58

0.7 1. 00 1.35 1. 56

1.0 0.99 1.32 1.52

1.3 0.95 1.27 1.54

2.0 1.37

2.5 0. 72 0.99

3.0 0.81 1.12 1.36

6.0 0.76 0.86

Table X(b) Comparison of Graphite Solubility Values for Pure Iron with Published Data

950

1000

1050

This Work

1. 32

1.51

1.65

36 Gurry*

1.37

1.53

1. 69

F & Ch . 37 ray ~pman

1. 5 + o. 02

Ban-Ya et al.+13

1. 37

1.56

1. 71

By interpolation and extrapolation of experimental data at 957° and 1104°C of 1.39 and 1.86% resp.

+ Obtained by solving equation 3 at temperature and a =1.0. c

Page 77: Phase equilibrium and thermodynamic study of the iron ...

C. Solidus Tempe~ature Determination

The results oe solidus temperature determination are presented

in Table XI

Table XI Solidus Temperatures for a 90% Copper Alloy

Activity of Carbon Temperature a oc (:t 20) c

0.00 1095

0.04 1093

0.08 1091

0.12 1089

0,19 1088

1.00 1078

D. Rate of Carburization

Table XII gives the time required to attain equilibrium for some

iron-copper alloys for gas carburization at an activity of carbon of

0.08. These values were obtained from weight gain profiles in gas

carburization experiments.

Table XII Times to Attain Equilibrium Carbon Content During Gas Carburization

Alloy Content

% Cu

0.0

0.3

0.7

1.0

1.3

Time to Attain equilibrium,

in hrs.

7.25

4.50

4.00

3.25

1.50

68

Page 78: Phase equilibrium and thermodynamic study of the iron ...

69

E. Activity Coefficients for Carbon

The standard state in these calculations was chosen as graphite.

The activity coefficient was defined as f ~a /(%C). c c

Table XIII (a) 0 Activity Coefficients of Carbon at 950 c,

for :Pure Iron

Wt. % Carbon Log f c

0.17 -0.347

0.27 -0.337

0.40 ~0.398

0.55 -0.283

0.67 -0.260

o. 76 -0.247

1. 07 -0.196

1.18 -0.174

1. 37 -0.137

Table XIII(b) Activity Coefficients of Carbon at 950°C for a 0.3% Cu Alloy

Wt. % Carbon Log f c

0.26 -0.206

0.48 -0.159

0.66 -0.173

0.90 -0.167

0.96 -0.144

Page 79: Phase equilibrium and thermodynamic study of the iron ...

Table XIII(c) Activity Coe~ficients £or Carbon at 950°C for a 0.7% Cu Alloy

Wt. % Carbon Log f c

0.21 -0.090

0.41 -0.136

0.56 -0.148

0.87 -0.155

0.96 -0.148

70


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