C–Cr system

118 accepted literature values from 5 paper(s) (experimental 78, model 40); 0 calculated phase diagram(s). 10 further extracted value(s) not accepted by the reader-agreement checks are only in the JSON/CSV.

Data: JSON · CSV · interactive explorer · phases (9) · papers (bibliography) · Markdown

Accepted values by evidence class
Evidence classValues
experimental78
model40
Accepted values by property group
Property groupValues
invariant reaction32
phase transition8
formation17
heat capacity / entropy / enthalpy36
activity / EMF / Gibbs energy25

Convex hulls: Materials Project DFT hull · OQMD DFT hull · CALPHAD hull CrC-04Ten · CALPHAD hull CrC-87And-LB · CALPHAD hull CrC-90Kaj · CALPHAD hull CrC-92Lee

Invariant reactions (literature)

Invariant reactions reported in the literature for the C–Cr system (32)
T (K)Reaction / phasesCompositions (mole fraction)ClassSourceLocationQuote
2102eutectic: L -> Cr3C2+CCr3C2: C 0.4; C: C 1experimental[1] Khvan 2012
cites Rudy 1969
Table 2, p. 4, row 10
report
2097eutectic: L -> Cr3C2+CCr3C2: C 0.4; C: C 1model[1] Khvan 2012Table 2, p. 4, row 9
report
2083Liq + Graphite -> Cr3C2Graphite: Cr 0; Cr3C2: Cr 0.6experimental[2] Andersson 1987Table II, p. 5, row 15
report
2083Liq + Graphite -> Cr3C2L: Cr 0.63; Graphite: Cr 0; Cr3C2: Cr 0.6experimental[2] Andersson 1987Table II, p. 5, row 14
report
2083L + graphite -> Cr3C2L: Cr 0.63; graphite: Cr 0; Cr3C2: Cr 0.6experimental[3] Kajihara 1990
cites Rudy 1969
Table III, p. 7, row 14
report
2083L + graphite -> Cr3C2graphite: Cr 0; Cr3C2: Cr 0.6experimental[3] Kajihara 1990
cites Knotek 1981
Table III, p. 7, row 15
report
2078L + graphite -> Cr3C2L: Cr 0.621; graphite: Cr 0; Cr3C2: Cr 0.6model[3] Kajihara 1990Table III, p. 7, row 13
report
2076Liq + Graphite -> Cr3C2L: Cr 0.622; Graphite: Cr 0; Cr3C2: Cr 0.6model[2] Andersson 1987Table II, p. 5, row 13
report
2045eutectic: L -> Cr3C2+Cr7C3Cr3C2: C 0.4; Cr7C3: C 0.3model[1] Khvan 2012Table 2, p. 4, row 5
report
2022eutectic: L -> Cr7C3 + Cr3C2L: Cr 0.669; Cr7C3: Cr 0.7; Cr3C2: Cr 0.6model[3] Kajihara 1990Table III, p. 7, row 10
report
2017eutectic: LIQ -> Cr7C3 + Cr3C2L: Cr 0.671; Cr7C3: Cr 0.7; Cr3C2: Cr 0.6model[2] Andersson 1987Table II, p. 5, row 10
report
2015eutectic: L -> Cr3C2+Cr7C3Cr3C2: C 0.4; Cr7C3: C 0.3experimental[1] Khvan 2012
cites Rudy 1969
Table 2, p. 4, row 6
report
1999eutectic: L -> Cr7C3 + Cr3C2L: Cr 0.674; Cr7C3: Cr 0.7; Cr3C2: Cr 0.6experimental[3] Kajihara 1990
cites Rudy 1969
Table III, p. 7, row 11
report
1998eutectic: LIQ -> Cr7C3 + Cr3C2L: Cr 0.674; Cr7C3: Cr 0.7; Cr3C2: Cr 0.6experimental[2] Andersson 1987Table II, p. 5, row 11
report
1998eutectic: LIQ -> Cr7C3 + Cr3C2Cr7C3: Cr 0.7; Cr3C2: Cr 0.6experimental[2] Andersson 1987Table II, p. 5, row 12
report
1998eutectic: L -> Cr7C3 + Cr3C2Cr7C3: Cr 0.7; Cr3C2: Cr 0.6experimental[3] Kajihara 1990
cites Knotek 1981
Table III, p. 7, row 12
report
1890L + Cr7C3 -> Cr23C6Cr7C3: C 0.3; Cr23C6: C 0.206897model[1] Khvan 2012Table 2, p. 4, row 3
report
1885L + Cr7C3 -> Cr23C6Cr7C3: C 0.3; Cr23C6: C 0.206897experimental[1] Khvan 2012
cites Eremenko 1987
Table 2, p. 4, row 4
report
1852eutectic: L -> Cr23C6+CrCr23C6: C 0.206897experimental[1] Khvan 2012
cites Eremenko 1987
Table 2, p. 4, row 2
report
1850LIQ + Cr7C3 -> Cr23C6L: Cr 0.821; Cr7C3: Cr 0.7; Cr23C6: Cr 0.793103model[2] Andersson 1987Table II, p. 5, row 4
report
1849eutectic: L -> Cr23C6+CrCr23C6: C 0.206897model[1] Khvan 2012Table 2, p. 4, row 1
report
1848L + Cr7C3 -> Cr23C6Cr7C3: Cr 0.7; Cr23C6: Cr 0.793103experimental[3] Kajihara 1990
cites Knotek 1981
Table III, p. 7, row 6
report
1848L + Cr7C3 -> Cr23C6L: Cr 0.822; Cr7C3: Cr 0.7; Cr23C6: Cr 0.793103model[3] Kajihara 1990Table III, p. 7, row 4
report
1848L + Cr7C3 -> Cr23C6L: Cr 0.83; Cr7C3: Cr 0.7; Cr23C6: Cr 0.793103experimental[3] Kajihara 1990
cites Rudy 1969
Table III, p. 7, row 5
report
1848LIQ + Cr7C3 -> Cr23C6L: Cr 0.83; Cr7C3: Cr 0.7; Cr23C6: Cr 0.793103experimental[2] Andersson 1987Table II, p. 5, row 5
report
1848LIQ + Cr7C3 -> Cr23C6Cr7C3: Cr 0.7; Cr23C6: Cr 0.793103experimental[2] Andersson 1987Table II, p. 5, row 6
report
1808eutectic: LIQ -> Bcc + Cr23C6Cr23C6: Cr 0.793103experimental[2] Andersson 1987Table II, p. 5, row 3
report
1808eutectic: L -> Cr + Cr23C6Cr23C6: Cr 0.793103experimental[3] Kajihara 1990
cites Knotek 1981
Table III, p. 7, row 3
report
1806eutectic: LIQ -> Bcc + Cr23C6L: Cr 0.863; Cr23C6: Cr 0.793103model[2] Andersson 1987Table II, p. 5, row 1
report
1803eutectic: L -> Cr + Cr23C6L: Cr 0.86; Cr23C6: Cr 0.793103experimental[3] Kajihara 1990
cites Rudy 1969
Table III, p. 7, row 2
report
1803eutectic: LIQ -> Bcc + Cr23C6L: Cr 0.86; Cr23C6: Cr 0.793103experimental[2] Andersson 1987Table II, p. 5, row 2
report
1798eutectic: L -> Cr + Cr23C6L: Cr 0.861; Cr23C6: Cr 0.793103model[3] Kajihara 1990Table III, p. 7, row 1
report

Formation enthalpies

Literature values in kJ/mol-atom where the per-atom basis is known. DFT columns: the lowest-energy entry at the same composition (Materials Project 2026.04.13, OQMD v1.8; different energy references, never averaged), from dft_parity.json.

Enthalpies of formation, C–Cr system (17)
PhaseCompoundValueT (K)ClassMP DFT (kJ/mol-atom)OQMD DFT (kJ/mol-atom)SourceLocationQuote
Cr3C2-114.4 kJ/mol (basis unstated)298.15experimental[4] Teng 2004
cites Gleiser 1965 doi
Table II, p. 4, row 2
report
Cr3C2-102.1 kJ/mol (basis unstated)298.15experimental[4] Teng 2004
cites Coltters 1984 doi
Table II, p. 4, row 6
report
Cr3C2-95.6 kJ/mol (basis unstated)298.15experimental[4] Teng 2004
cites Kelley 2004
Table II, p. 4, row 1
report
Cr3C2-87.8 kJ/mol (basis unstated)298.15model[4] Teng 2004
cites Wicks 1963
Table II, p. 4, row 15
report
Cr3C2-85.3 kJ/mol (basis unstated)298.15model[4] Teng 2004
cites Barin 1993
Table II, p. 4, row 17
report
Cr3C2-77.7 kJ/mol (basis unstated)298.15experimental[4] Teng 2004
cites Mah 1969
Table II, p. 4, row 13
report
Cr3C2-76.7 kJ/mol (basis unstated)298.15experimental[4] Teng 2004
cites Kulkarni 1972 doi
Table II, p. 4, row 3
report
Cr3C2-72.3 kJ/mol (basis unstated)298.15experimental[4] Teng 2004
cites Kleykamp 2001 doi
Table II, p. 4, row 9
report
Cr3C2-71.7 kJ/mol (basis unstated)298.15experimental[4] Teng 2004Table II, p. 4, row 12
report
Cr3C2-71.4 kJ/mol (basis unstated)298.15model[4] Teng 2004
cites Andersson 1987 doi
Table II, p. 4, row 16
report
Cr3C2-68.97 kJ/mol (basis unstated)298.15model[4] Teng 2004
cites Storms 1967
Table II, p. 4, row 14
report
Cr3C2-66.9 kJ/mol (basis unstated)298.15experimental[4] Teng 2004
cites Du 1989
Table II, p. 4, row 11
report
Cr3C2-65.5 kJ/mol (basis unstated)298.15experimental[4] Teng 2004
cites Tanaka 1971
Table II, p. 4, row 10
report
Cr3C2-64.4 kJ/mol (basis unstated)298.15experimental[4] Teng 2004
cites Mabuchi 1971 doi
Table II, p. 4, row 7
report
Cr3C2-63.8 kJ/mol (basis unstated)298.15experimental[4] Teng 2004
cites Anthonysamy 1996
Table II, p. 4, row 4
report
Cr3C2-56.8 kJ/mol (basis unstated)298.15experimental[4] Teng 2004
cites Vintaikin 1963
Table II, p. 4, row 5
report
Cr3C2-56.4 kJ/mol (basis unstated)298.15experimental[4] Teng 2004
cites Kleykamp 1969 doi
Table II, p. 4, row 8
report

Other properties

Phase transition (8)

Phase transition, C–Cr system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Phase transition2029 K2029LIQ -> Cr7C3 (max)
L: Cr 0.7; Cr7C3: Cr 0.7
model[2] Andersson 1987Table II, p. 5, row 7
report
Phase transition2036 K2036congruent melting: L -> Cr7C3 (max.)
L: Cr 0.7; Cr7C3: Cr 0.7
model[3] Kajihara 1990Table III, p. 7, row 7
report
Phase transition2038 K2038LIQ -> Cr7C3 (max)
L: Cr 0.7; Cr7C3: Cr 0.7
experimental[2] Andersson 1987Table II, p. 5, row 8
report
Phase transition2038 K2038LIQ -> Cr7C3 (max)
L: Cr 0.7; Cr7C3: Cr 0.7
experimental[2] Andersson 1987Table II, p. 5, row 9
report
Phase transition2038 K2038congruent melting: L -> Cr7C3 (max.)
L: Cr 0.7; Cr7C3: Cr 0.7
experimental[3] Kajihara 1990
cites Rudy 1969
Table III, p. 7, row 8
report
Phase transition2038 K2038congruent melting: L -> Cr7C3 (max.)
L: Cr 0.7; Cr7C3: Cr 0.7
experimental[3] Kajihara 1990
cites Knotek 1981
Table III, p. 7, row 9
report
Phase transition2054 K2054L -> Cr7C3
L: C 0.3; Cr7C3: C 0.3
experimental[1] Khvan 2012
cites Eremenko 1987
Table 2, p. 4, row 8
report
Phase transition2058 K2058L -> Cr7C3
L: C 0.3; Cr7C3: C 0.3
model[1] Khvan 2012Table 2, p. 4, row 7
report

Heat capacity / entropy / enthalpy (36)

Heat capacity / entropy / enthalpy, C–Cr system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Entropy
printed: °S(298.15)
635.4 unknown298.15Cr23C6
alloy: Cr 0.793103
experimental[5] Lee 1992Table 2, p. 11, row 13
report
Entropy
printed: °S(298.15)
612.12 unknown298.15Cr23C6
alloy: Cr 0.793103
model[5] Lee 1992Table 2, p. 11, row 14
report
Entropy
printed: °S(298.15)
635.4 unknown298.15Cr23C6
alloy: Cr 0.793103
experimental[3] Kajihara 1990
cites Kelley 1949
Table II, p. 5, row 17
report
Entropy
printed: °S(298.15)
628.9 unknown298.15Cr23C6
alloy: Cr 0.793103
model[3] Kajihara 1990Table II, p. 5, row 18
report
Entropy
printed: °S(298.15)
85.434 unknown298.15Cr3C2
alloy: Cr 0.6
experimental[5] Lee 1992Table 2, p. 11, row 1
report
Entropy
printed: °S(298.15)
87.86 unknown298.15Cr3C2
alloy: Cr 0.6
model[5] Lee 1992Table 2, p. 11, row 2
report
Entropy
printed: °S(298.15)
91.2 unknown298.15Cr3C2
alloy: Cr 0.6
model[3] Kajihara 1990Table II, p. 5, row 2
report
Entropy
printed: °S(298.15)
85.434 unknown298.15Cr3C2
alloy: Cr 0.6
experimental[3] Kajihara 1990
cites JANAF 1975
Table II, p. 5, row 1
report
Entropy
printed: °S(298.15)
200.983 unknown298.15Cr7C3
alloy: Cr 0.7
experimental[5] Lee 1992Table 2, p. 11, row 7
report
Entropy
printed: °S(298.15)
200.983 unknown298.15Cr7C3
alloy: Cr 0.7
experimental[3] Kajihara 1990
cites JANAF 1975
Table II, p. 5, row 9
report
Entropy
printed: °S(298.15)
210 unknown298.15Cr7C3
alloy: Cr 0.7
model[3] Kajihara 1990Table II, p. 5, row 10
report
Entropy
printed: °S(298.15)
205.08 unknown298.15Cr7C3
alloy: Cr 0.7
model[5] Lee 1992Table 2, p. 11, row 8
report
Heat capacity
printed: °Cp(298.15)
695.1 unknown298.15Cr23C6
alloy: Cr 0.793103
model[3] Kajihara 1990Table II, p. 5, row 20
report
Heat capacity
printed: °Cp(298.15)
649.8 unknown298.15Cr23C6
alloy: Cr 0.793103
experimental[3] Kajihara 1990
cites Kelley 1949
Table II, p. 5, row 19
report
Heat capacity
printed: °Cp(298.15)
649.8 unknown298.15Cr23C6
alloy: Cr 0.793103
experimental[5] Lee 1992Table 2, p. 11, row 13
report
Heat capacity
printed: °Cp(298.15)
696.35 unknown298.15Cr23C6
alloy: Cr 0.793103
model[5] Lee 1992Table 2, p. 11, row 14
report
Heat capacity
printed: °Cp(298.15)
99.299 unknown298.15Cr3C2
alloy: Cr 0.6
experimental[5] Lee 1992Table 2, p. 11, row 1
report
Heat capacity
printed: °Cp(298.15)
107.63 unknown298.15Cr3C2
alloy: Cr 0.6
model[5] Lee 1992Table 2, p. 11, row 2
report
Heat capacity
printed: °Cp(298.15)
119.3 unknown298.15Cr3C2
alloy: Cr 0.6
model[3] Kajihara 1990Table II, p. 5, row 4
report
Heat capacity
printed: °Cp(298.15)
99.299 unknown298.15Cr3C2
alloy: Cr 0.6
experimental[3] Kajihara 1990
cites JANAF 1975
Table II, p. 5, row 3
report
Heat capacity
printed: °Cp(298.15)
209.748 unknown298.15Cr7C3
alloy: Cr 0.7
experimental[5] Lee 1992Table 2, p. 11, row 7
report
Heat capacity
printed: °Cp(298.15)
209.748 unknown298.15Cr7C3
alloy: Cr 0.7
experimental[3] Kajihara 1990
cites JANAF 1975
Table II, p. 5, row 11
report
Heat capacity
printed: °Cp(298.15)
263.3 unknown298.15Cr7C3
alloy: Cr 0.7
model[3] Kajihara 1990Table II, p. 5, row 12
report
Heat capacity
printed: °Cp(298.15)
224.66 unknown298.15Cr7C3
alloy: Cr 0.7
model[5] Lee 1992Table 2, p. 11, row 8
report
Heat content
printed: °H(T) - °H(298.15)
635382 unknown1070Cr23C6 + Cr
alloy: Cr 0.793103
experimental[3] Kajihara 1990
cites Kelley 1949
Table II, p. 5, row 21
report
Heat content
printed: °H(T) - °H(298.15)
661900 unknown1070Cr23C6 + Cr
alloy: Cr 0.793103
model[3] Kajihara 1990Table II, p. 5, row 22
report
Heat content
printed: °H(T) - °H(298.15)
220500 unknown1080Cr7C3
alloy: Cr 0.7
model[3] Kajihara 1990Table II, p. 5, row 14
report
Heat content
printed: °H(T) - °H(298.15)
208698 unknown1080Cr7C3
alloy: Cr 0.7
experimental[3] Kajihara 1990
cites Kelley 1949
Table II, p. 5, row 13
report
Heat content
printed: °H(T) - °H(298.15)
107700 unknown1085Cr3C2
alloy: Cr 0.6
model[3] Kajihara 1990Table II, p. 5, row 6
report
Heat content
printed: °H(T) - °H(298.15)
104098 unknown1085Cr3C2
alloy: Cr 0.6
experimental[3] Kajihara 1990
cites Kelley 1949
Table II, p. 5, row 5
report
Heat content
printed: °H(T) - °H(298.15)
161670 unknown1459Cr3C2
alloy: Cr 0.6
experimental[3] Kajihara 1990
cites Kelley 1949
Table II, p. 5, row 7
report
Heat content
printed: °H(T) - °H(298.15)
168500 unknown1459Cr3C2
alloy: Cr 0.6
model[3] Kajihara 1990Table II, p. 5, row 8
report
Heat content
printed: °H(T) - °H(298.15)
1121000 unknown1484Cr23C6 + Cr
alloy: Cr 0.793103
model[3] Kajihara 1990Table II, p. 5, row 24
report
Heat content
printed: °H(T) - °H(298.15)
1039810 unknown1484Cr23C6 + Cr
alloy: Cr 0.793103
experimental[3] Kajihara 1990
cites Kelley 1949
Table II, p. 5, row 23
report
Heat content
printed: °H(T) - °H(298.15)
376300 unknown1578Cr7C3
alloy: Cr 0.7
model[3] Kajihara 1990Table II, p. 5, row 16
report
Heat content
printed: °H(T) - °H(298.15)
376978 unknown1578Cr7C3
alloy: Cr 0.7
experimental[3] Kajihara 1990
cites Kelley 1949
Table II, p. 5, row 15
report

Activity / EMF / Gibbs energy (25)

Activity / EMF / Gibbs energy, C–Cr system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Activity
printed: ac
0.43 unspecified1273model[3] Kajihara 1990p. 8
report
There is no data point for the fcc + M3C2 two-phase equilibrium, but it is expected from the calculation that the M3C2 carbide should appear in the alloy with a ratio of chromium and nickel contents of 12.3/87.7 in mass percent at a carbon activity higher than ac = 0.43 at 1273 K.
Activity
printed: ac
0.37 unspecified1273fcc + M7C3 + M3C2model[3] Kajihara 1990p. 9
report
According to the present calculations, its carbon activity is ac = 0.37 at 1273 K and ac = 0.49 at 1473 K.
Activity
printed: ac
0.47 unspecified1373fcc + M3C2 + M7C3experimental[3] Kajihara 1990p. 10
report
The capsule was kept at 1373 K for 1300 hours. The fcc + carbide(s) two-phase and three-phase microstructures were observed in the equilibrated quaternary alloys at a carbon activity of ac = 0.47.
Activity
printed: ac
0.49 unspecified1473fcc + M7C3 + M3C2model[3] Kajihara 1990p. 9
report
According to the present calculations, its carbon activity is ac = 0.37 at 1273 K and ac = 0.49 at 1473 K.
EMF138.24 mV944UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 21
report
EMF140.12 mV956UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 1
report
EMF138.55 mV964UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 20
report
EMF141.71 mV969UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 2
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EMF135.53 mV970UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 19
report
EMF138.57 mV987UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 3
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EMF138.83 mV996UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 4
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EMF136.52 mV1004UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 18
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EMF144.47 mV1031UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 17
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EMF139.43 mV1045UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 5
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EMF146.85 mV1057UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 16
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EMF143.05 mV1071UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 6
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EMF146.61 mV1089UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 15
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EMF144.34 mV1094UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 12
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EMF138.9 mV1102UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 11
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EMF142.45 mV1109UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 7
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EMF147.43 mV1117UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 14
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EMF147.46 mV1122UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 8
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EMF147.81 mV1126UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 13
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EMF146.4 mV1134UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 10
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EMF147.46 mV1149UNKNOWNexperimental[4] Teng 2004Table I, p. 4, row 9
report

Sources

Reporting papers the values were read from (a value cited from another work names that work in its row).

  1. A.V. Khvan, B. Hallstedt, K. Chang, Thermodynamic assessment of Cr–Nb–C and Mn–Nb–C systems, Calphad 39, 54-61 (2012). doi:10.1016/j.calphad.2012.09.002
  2. Jan-Olof Andersson, Thermodynamic properties of Cr-C, Calphad 11, 271-276 (1987). doi:10.1016/0364-5916(87)90045-9
  3. M. Kajihara, M. Hillert, Thermodynamic evaluation of the Cr-Ni-C system, Metall Trans A 21, 2777-2787 (1990). doi:10.1007/bf02646072
  4. L. D. Teng, K. G. Lu, R. E. Aune, S. Seetharaman, Thermodynamic investigations of Cr3C2 and reassessment of the Cr-C system, Metall Mater Trans A 35, 3673-3680 (2004). doi:10.1007/s11661-004-0273-7
  5. Byeong-Joo Lee, On the stability of Cr carbides, Calphad 16, 121-149 (1992). doi:10.1016/0364-5916(92)90002-f