Ca–Mg system

74 accepted literature values from 5 paper(s) (experimental 25, model 8, DFT 9, unspecified 32); 6 calculated phase diagram(s). 8 further extracted value(s) not accepted by the reader-agreement checks are only in the JSON/CSV.

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

Accepted values by evidence class
Evidence classValues
experimental25
model8
DFT9
unspecified32
Accepted values by property group
Property groupValues
invariant reaction19
phase transition11
formation19
heat capacity / entropy / enthalpy3
crystal structure22

Calculated phase diagrams

Binary phase diagrams calculated with pycalphad 0.11.2 from the SGTE binary collection (Hallstedt 2025, CC BY 4.0). Evidence class: model.

Assessments with a calculated phase diagram
TDB fileAssessmentSHA-256Links
CaMg-05Isl.tdbF. Islam, M. Medraj, Can. Metall. Quart., 44, 523-36(2005). doi:10.1179/cmq.2005.44.4.52389c94b67c90207421c18567fc55afcbaa8d6cba7c78db9b994e8adb5baf1e9aeviewer · TDB · JSON
CaMg-06Zho.tdbY. Zhong, K. Ozturk, J.O. Sofo, Z.-K. Liu, J. Alloys Compd., 420, 98-106(2006). doi:10.1016/j.jallcom.2005.10.0334975fabd57c900d50728d319f7ec3ecc6830c32a15c1c981156431dbe1e14f06viewer · TDB · JSON
CaMg-08Koz.tdbA. Kozlov, M. Ohno, R. Arroyave, Z.-K. Liu, R. Schmid-Fetzer, Intermetallics, 16, 299-315(2008). doi:10.1016/j.intermet.2007.10.0104be2efab4bdbe8082cf28faf1b72380892e4dfad7e97d1cb7de91eb6f2d7bbc2viewer · TDB · JSON
CaMg-23Hal.tdbB. Hallstedt, M. Noori, Calphad, 82, 102577(2023). doi:10.1016/j.calphad.2023.10257776c9ca1f4d8ffe007baa38e76b7dbec96d263ebbb32674f327aa79ef881bdd4dviewer · TDB · JSON
CaMg-93Hal.tdbB. Hallstedt, J. Phase Equilib., 14, 662-75(1993). doi:10.1007/BF02667878c8851e28a70ea868af22f96f765a54cd569470ec0050bf354ec1e6b4f257d38aviewer · TDB · JSON
CaMg-95Aga-LB.tdbR. Agarwal, J.J. Lee, H.L. Lukas, F. Sommer, Z. Metallkd., 86, 103-8(1995). doi:10.1515/ijmr-1995-86020667902d2e36bf24aa37045723b4ec7ddf27d7cb706ce62d7d1888c0afc6eeae50viewer · TDB · JSON
Calculated three-phase invariants (model, mole fraction of the second component)
TDB fileT (K)Phases at the invariant
CaMg-05Isl.tdb789.9CAMG2_C14 (x(Mg) 0.66667) + LIQUID (x(Mg) 0.89676) + HCP_A3 (x(Mg) 0.99479)
CaMg-05Isl.tdb789.9CAMG2_C14 (x(Mg) 0.66667) + LIQUID (x(Mg) 0.8968) + HCP_A3 (x(Mg) 0.9948)
CaMg-05Isl.tdb719.08BCC_A2 (x(Mg) 0) + LIQUID (x(Mg) 0.28863) + CAMG2_C14 (x(Mg) 0.66667)
CaMg-05Isl.tdb719.08BCC_A2 (x(Mg) 0) + LIQUID (x(Mg) 0.28843) + CAMG2_C14 (x(Mg) 0.66667)
CaMg-05Isl.tdb716.03BCC_A2 (x(Mg) 0) + FCC_A1 (x(Mg) 0) + CAMG2_C14 (x(Mg) 0.66667)
CaMg-06Zho.tdb784.42CAMG2_C14 (x(Mg) 0.66763) + LIQUID (x(Mg) 0.89091) + HCP_A3 (x(Mg) 0.99548)
CaMg-06Zho.tdb716.03BCC_A2 (x(Mg) 0) + FCC_A1 (x(Mg) 0) + LIQUID (x(Mg) 0.28844)
CaMg-06Zho.tdb710.13FCC_A1 (x(Mg) 0) + LIQUID (x(Mg) 0.29196) + CAMG2_C14 (x(Mg) 0.66111)
CaMg-08Koz.tdb789.66CAMG2_C14 (x(Mg) 0.66667) + LIQUID (x(Mg) 0.89415) + HCP_A3 (x(Mg) 0.99574)
CaMg-08Koz.tdb789.66CAMG2_C14 (x(Mg) 0.66667) + LIQUID (x(Mg) 0.89418) + HCP_A3 (x(Mg) 0.99574)
CaMg-08Koz.tdb718.87BCC_A2 (x(Mg) 0) + LIQUID (x(Mg) 0.28696) + CAMG2_C14 (x(Mg) 0.66667)
CaMg-08Koz.tdb718.87BCC_A2 (x(Mg) 0) + LIQUID (x(Mg) 0.2868) + CAMG2_C14 (x(Mg) 0.66667)
CaMg-08Koz.tdb716.03FCC_A1 (x(Mg) 0) + BCC_A2 (x(Mg) 0) + CAMG2_C14 (x(Mg) 0.66667)
CaMg-23Hal.tdb790.29C14_LAVES (x(Mg) 0.6703) + LIQUID (x(Mg) 0.89458) + HCP_A3 (x(Mg) 0.99577)
CaMg-23Hal.tdb722.6BCC_A2 (x(Mg) 0.00749) + LIQUID (x(Mg) 0.28743) + C14_LAVES (x(Mg) 0.6596)
CaMg-23Hal.tdb714.11FCC_A1 (x(Mg) 0.00672) + BCC_A2 (x(Mg) 0.00714) + C14_LAVES (x(Mg) 0.65996)
CaMg-93Hal.tdb789.02CAMG2_C14 (x(Mg) 0.66667) + LIQUID (x(Mg) 0.89821) + HCP_A3 (x(Mg) 0.99885)
CaMg-93Hal.tdb789.02CAMG2_C14 (x(Mg) 0.66667) + LIQUID (x(Mg) 0.89823) + HCP_A3 (x(Mg) 0.99885)
CaMg-93Hal.tdb715.87FCC_A1 (x(Mg) 0) + LIQUID (x(Mg) 0.27365) + CAMG2_C14 (x(Mg) 0.66667)
CaMg-95Aga-LB.tdb789.65CAMG2_C14 (x(Mg) 0.66667) + LIQUID (x(Mg) 0.89414) + HCP_A3 (x(Mg) 0.99574)
CaMg-95Aga-LB.tdb789.65CAMG2_C14 (x(Mg) 0.66667) + LIQUID (x(Mg) 0.89418) + HCP_A3 (x(Mg) 0.99574)
CaMg-95Aga-LB.tdb718.81BCC_A2 (x(Mg) 0) + LIQUID (x(Mg) 0.28699) + CAMG2_C14 (x(Mg) 0.66667)
CaMg-95Aga-LB.tdb718.81BCC_A2 (x(Mg) 0) + LIQUID (x(Mg) 0.28683) + CAMG2_C14 (x(Mg) 0.66667)
CaMg-95Aga-LB.tdb716.03FCC_A1 (x(Mg) 0) + BCC_A2 (x(Mg) 0) + CAMG2_C14 (x(Mg) 0.66667)

Convex hulls: Materials Project DFT hull · OQMD DFT hull · CALPHAD hull CaMg-05Isl · CALPHAD hull CaMg-06Zho · CALPHAD hull CaMg-08Koz · CALPHAD hull CaMg-93Hal · CALPHAD hull CaMg-95Aga-LB

Invariant reactions (literature)

Invariant reactions reported in the literature for the Ca–Mg system (19)
T (K)Reaction / phasesCompositions (mole fraction)ClassSourceLocationQuote
798eutectic: L -> Mg2Ca+ Mg-hcpL: Mg 0.886; Mg2Ca: Mg 0.666667unspecified[1] ISLAM 2005
cites ref. 10
Table II, p. 5, row 21
report
798eutectic: L <-> Mg2Ca + Mg-hcpL: Mg 0.886experimental[2] Islam 2005
cites Paris 1934
Table 9, p. 12, row 11
report
790eutectic: L <-> Mg2Ca + Mg-hcpL: Mg 0.895experimental[2] Islam 2005
cites Haughton 1937
Table 9, p. 12, row 12
report
790eutectic: L -> Mg2Ca+ Mg-hcpL: Mg 0.895; Mg2Ca: Mg 0.666667unspecified[1] ISLAM 2005
cites ref. 15
Table II, p. 5, row 20
report
789.8eutectic: L <-> Mg2Ca + Mg-hcpL: Mg 0.896experimental[2] Islam 2005Table 9, p. 12, row 14
report
789.8eutectic: L -> Mg2Ca+ Mg-hcpL: Mg 0.8961; Mg2Ca: Mg 0.666667model[1] ISLAM 2005Table II, p. 5, row 22
report
789.5eutectic: L -> Mg2Ca+ Mg-hcpL: Mg 0.895; Mg2Ca: Mg 0.666667unspecified[1] ISLAM 2005
cites ref. 14
Table II, p. 5, row 19
report
789eutectic: L <-> Mg2Ca + Mg-hcpL: Mg 0.894experimental[2] Islam 2005
cites Vosskuhler 1937
Table 9, p. 12, row 13
report
787eutectic: L <-> Mg2Ca + Mg-hcpL: Mg 0.878experimental[2] Islam 2005
cites Baar 1911 doi
Table 9, p. 12, row 10
report
733eutectic: L -> Mg2Ca+ Ca-fccL: Mg 0.266; Mg2Ca: Mg 0.666667unspecified[1] ISLAM 2005
cites ref. 10
Table II, p. 5, row 16
report
733eutectic: L <-> Mg2Ca + Ca-fccL: Mg 0.266experimental[2] Islam 2005
cites Paris 1934
Table 9, p. 12, row 6
report
719eutectic: L -> Mg2Ca+ Ca-fccL: Mg 0.286; Mg2Ca: Mg 0.666667unspecified[1] ISLAM 2005
cites ref. 15
Table II, p. 5, row 15
report
719eutectic: L <-> Mg2Ca + Ca-fccL: Mg 0.309experimental[2] Islam 2005
cites Baar 1911 doi
Table 9, p. 12, row 5
report
719eutectic: L <-> Mg2Ca + Ca-fccL: Mg 0.288experimental[2] Islam 2005Table 9, p. 12, row 9
report
719eutectic: L -> Mg2Ca+ Ca-fccL: Mg 0.2883; Mg2Ca: Mg 0.666667model[1] ISLAM 2005Table II, p. 5, row 18
report
718eutectic: L <-> Mg2Ca + Ca-fccL: Mg 0.27experimental[2] Islam 2005
cites Klemm 1947 doi
Table 9, p. 12, row 7
report
718eutectic: L -> Mg2Ca+ Ca-fccL: Mg 0.27; Mg2Ca: Mg 0.666667unspecified[1] ISLAM 2005
cites ref. 13
Table II, p. 5, row 17
report
718eutectic: L -> Mg2Ca+ Ca-fccL: Mg 0.27; Mg2Ca: Mg 0.666667unspecified[1] ISLAM 2005
cites ref. 14
Table II, p. 5, row 14
report
718eutectic: L <-> Mg2Ca + Ca-fccexperimental[2] Islam 2005
cites Vosskuhler 1937
Table 9, p. 12, row 8
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, Ca–Mg system (19)
PhaseCompoundValueT (K)ClassMP DFT (kJ/mol-atom)OQMD DFT (kJ/mol-atom)SourceLocationQuote
C14-11.72 kJ/mol-atom0unspecified[3] Zhong 2006Table 4, p. 5, row 1
report
C15-11.33 kJ/mol-atom0unspecified[3] Zhong 2006Table 4, p. 5, row 2
report
C36-11.62 kJ/mol-atom0unspecified[3] Zhong 2006Table 4, p. 5, row 3
report
Ca2Mg-C14Ca2Mg26.8549 kJ/mol-atom0unspecified5.636 (mp-aaachdih)3.889 (oqmd-290195)[4] Zhong 2006Table 2, p. 4, row 16
report
Mg2CaCaMg2-13.5 kJ/mol-atom298.15experimental-10.24 (mp-aaaaadpo)-12.167 (oqmd-21025)[2] Islam 2005
cites King 1964 doi
p. 11
report
In this study, the calculated enthalpy of formation of Mg2 Ca intermetallic compound at 298 K is -12.70 kJ/g atom, which is in close agreement with King and Kleppa [51] and Davison and Smith [52] who reported this value as -13.5 kJ/g atom and -13.17 kJ/g atom, respectively.
Mg2CaCaMg2-13.5 kJ/mol-atom298.15experimental-10.24 (mp-aaaaadpo)-12.167 (oqmd-21025)[5] Kozlov 2008
cites King 1964 doi
Table 2, p. 5, row 4
report
Mg2CaCaMg2-13.17 kJ/mol-atom298.15experimental-10.24 (mp-aaaaadpo)-12.167 (oqmd-21025)[2] Islam 2005
cites Davison 1968
p. 11
report
In this study, the calculated enthalpy of formation of Mg2 Ca intermetallic compound at 298 K is -12.70 kJ/g atom, which is in close agreement with King and Kleppa [51] and Davison and Smith [52] who reported this value as -13.5 kJ/g atom and -13.17 kJ/g atom, respectively.
Mg2CaCaMg2-13 kJ/mol-atom298.15experimental-10.24 (mp-aaaaadpo)-12.167 (oqmd-21025)[5] Kozlov 2008
cites Davison 1968
Table 2, p. 5, row 6
report
Mg2CaCaMg2-12.85 kJ/mol-atom298.15model-10.24 (mp-aaaaadpo)-12.167 (oqmd-21025)[5] Kozlov 2008
cites Agarwal 1995
Table 2, p. 5, row 2
report
Mg2CaCaMg2-12.78 kJ/mol-atom298.15model-10.24 (mp-aaaaadpo)-12.167 (oqmd-21025)[5] Kozlov 2008Table 2, p. 5, row 3
report
Mg2CaCaMg2-12.7 kJ/mol-atom298.15experimental-10.24 (mp-aaaaadpo)-12.167 (oqmd-21025)[5] Kozlov 2008
cites Gartner 1965
Table 2, p. 5, row 5
report
Mg2Ca-12.37 kJ/mol-atom298.15DFT[5] Kozlov 2008Table 2, p. 5, row 1
report
Mg2Ca-C14CaMg2-20.97 kJ/mol-atom0unspecified-10.24 (mp-aaaaadpo)-12.167 (oqmd-21025)[4] Zhong 2006
cites Pyagai 1990
Table 2, p. 4, row 8
report
Mg2Ca-C14CaMg2-14.59 kJ/mol-atom255.5experimental-10.24 (mp-aaaaadpo)-12.167 (oqmd-21025)[4] Zhong 2006
cites Chiotti 1964 doi
Table 2, p. 4, row 13
report
Mg2Ca-C14CaMg2-13.38 kJ/mol-atom298.15experimental-10.24 (mp-aaaaadpo)-12.167 (oqmd-21025)[4] Zhong 2006
cites King 1964 doi
Table 2, p. 4, row 9
report
Mg2Ca-C14CaMg2-13.04 kJ/mol-atom298.15experimental-10.24 (mp-aaaaadpo)-12.167 (oqmd-21025)[4] Zhong 2006
cites Gartner 1965
Table 2, p. 4, row 10
report
Mg2Ca-C14CaMg2-13.04 kJ/mol-atom0unspecified-10.24 (mp-aaaaadpo)-12.167 (oqmd-21025)[4] Zhong 2006
cites Davison 1968
Table 2, p. 4, row 11
report
Mg2Ca-C14CaMg2-11.7161 kJ/mol-atom0unspecified-10.24 (mp-aaaaadpo)-12.167 (oqmd-21025)[4] Zhong 2006Table 2, p. 4, row 6
report
Mg2Ca-C14CaMg2-11.29 kJ/mol-atom359experimental-10.24 (mp-aaaaadpo)-12.167 (oqmd-21025)[4] Zhong 2006
cites Smith 1961
Table 2, p. 4, row 12
report

Other properties

Phase transition (11)

Phase transition, Ca–Mg system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Phase transition984 K984congruent melting: L -> Mg2Ca
L: Mg 0.66; Mg2Ca: Mg 0.666667
unspecified[1] ISLAM 2005
cites ref. 15
Table II, p. 5, row 9
report
Phase transition984.58 K984.58congruent melting: L -> Mg2Ca
L: Mg 0.66; Mg2Ca: Mg 0.666667
model[1] ISLAM 2005Table II, p. 5, row 10
report
Phase transition984.6 K984.6congruent melting: L <-> Mg2Ca
L: Mg 0.667
experimental[2] Islam 2005Table 9, p. 12, row 4
report
Phase transition987 K987congruent melting: L <-> Mg2Ca
L: Mg 0.667
experimental[2] Islam 2005
cites Baar 1911 doi
Table 9, p. 12, row 1
report
Phase transition987 K987congruent melting: L <-> Mg2Caexperimental[2] Islam 2005
cites Vosskuhler 1937
Table 9, p. 12, row 3
report
Phase transition988 K988congruent melting: L -> Mg2Ca
L: Mg 0.66; Mg2Ca: Mg 0.666667
unspecified[1] ISLAM 2005
cites ref. 14
Table II, p. 5, row 8
report
Phase transition998 K998congruent melting: L -> Mg-hcpunspecified[1] ISLAM 2005
cites ref. 10
Table II, p. 5, row 3
report
Phase transition998 K998congruent melting: L <-> Mg2Caexperimental[2] Islam 2005
cites Paris 1934
Table 9, p. 12, row 2
report
Phase transition1115 K1115congruent melting: L -> Ca-bcc
Ca-bcc: Mg 0
model[1] ISLAM 2005Table II, p. 5, row 7
report
Phase transition1115 K1115congruent melting: L -> Ca-bcc
Ca-bcc: Mg 0
unspecified[1] ISLAM 2005
cites ref. 15
Table II, p. 5, row 6
report
Phase transition1115 K1115congruent melting: L -> Ca-bcc
Ca-bcc: Mg 0
unspecified[1] ISLAM 2005
cites ref. 14
Table II, p. 5, row 5
report

Heat capacity / entropy / enthalpy (3)

Heat capacity / entropy / enthalpy, Ca–Mg system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Entropy
printed: S298
36.21 J/mol-atom/K298.15Mg2Ca
alloy: Mg 0.666667
DFT[5] Kozlov 2008
cites Arroyave 2006
Table 2, p. 5, row 7
report
Entropy
printed: S298
32.48 J/mol-atom/K298.15Mg2Ca
alloy: Mg 0.666667
model[5] Kozlov 2008
cites Agarwal 1995
Table 2, p. 5, row 8
report
Entropy
printed: S298
32.56 J/mol-atom/K298.15Mg2Ca
alloy: Mg 0.666667
model[5] Kozlov 2008Table 2, p. 5, row 9
report

Crystal structure (22)

Crystal structure, Ca–Mg system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Lattice a
printed: a
6.212 Å0C14unspecified[3] Zhong 2006Table 4, p. 5, row 1
report
Lattice a
printed: a
8.76 Å0C15unspecified[3] Zhong 2006Table 4, p. 5, row 2
report
Lattice a
printed: a
6.2 Å0C36unspecified[3] Zhong 2006Table 4, p. 5, row 3
report
Lattice a
printed: a
6.887 Å0Ca2Mg-C14
alloy: Mg 0.333333
unspecified[4] Zhong 2006Table 2, p. 4, row 16
report
Lattice a
printed: a
6.271 ÅMg2Ca-C14
alloy: Mg 0.666667
experimental[4] Zhong 2006
cites Gingl 1993 doi
Table 2, p. 4, row 7
report
Lattice a
printed: a (=b)
6.212 Å0Mg2Ca-C14
alloy: Mg 0.666667
unspecified[4] Zhong 2006Table 2, p. 4, row 6
report
Lattice a4.211 Å2bcc (A2)
alloy: Mg 0
DFT[3] Zhong 2006Table 1, p. 4, row 31
report
Lattice a4.218 Å2bcc (A2)
alloy: Mg 0
DFT[3] Zhong 2006Table 1, p. 4, row 38
report
Lattice a4.345 Å2bcc (A2)
alloy: Mg 0
DFT[3] Zhong 2006Table 1, p. 4, row 39
report
Lattice a5.545 Å2fcc (A1)
alloy: Mg 0
DFT[3] Zhong 2006Table 1, p. 4, row 30
report
Lattice a5.344 Å2fcc (A1)
alloy: Mg 0
DFT[3] Zhong 2006Table 1, p. 4, row 36
report
Lattice a5.331 Å2fcc (A1)
alloy: Mg 0
DFT[3] Zhong 2006Table 1, p. 4, row 29
report
Lattice a5.486 Å2fcc (A1)
alloy: Mg 0
DFT[3] Zhong 2006Table 1, p. 4, row 37
report
Lattice a6.23 Å711 (<)Mg2Ca
alloy: Mg 0.666667
unspecified[5] Kozlov 2008Table 1, p. 4, row 6
report
Lattice a6.251 not_printed ± 0.004711 (<)Mg2Ca
alloy: Mg 0.666667
unspecified[5] Kozlov 2008Table 1, p. 4, row 6
report
Lattice c
printed: c
10.05 Å0C14unspecified[3] Zhong 2006Table 4, p. 5, row 1
report
Lattice c
printed: c
20.184 Å0C36unspecified[3] Zhong 2006Table 4, p. 5, row 3
report
Lattice c
printed: c
10.836 Å0Ca2Mg-C14
alloy: Mg 0.333333
unspecified[4] Zhong 2006Table 2, p. 4, row 16
report
Lattice c
printed: c
10.17 ÅMg2Ca-C14
alloy: Mg 0.666667
experimental[4] Zhong 2006
cites Gingl 1993 doi
Table 2, p. 4, row 7
report
Lattice c
printed: c
10.05 Å0Mg2Ca-C14
alloy: Mg 0.666667
unspecified[4] Zhong 2006Table 2, p. 4, row 6
report
Lattice c10.141 not_printed ± 0.007711 (<)Mg2Ca
alloy: Mg 0.666667
unspecified[5] Kozlov 2008Table 1, p. 4, row 6
report
Lattice c10.15 Å711 (<)Mg2Ca
alloy: Mg 0.666667
unspecified[5] Kozlov 2008Table 1, p. 4, row 6
report

Sources

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

  1. F. ISLAM, M. MEDRAJ, THERMODYNAMIC MODELLING OF THE Mg-Al-Ca SYSTEM, Canadian Metallurgical Quarterly 44, 523-536 (2005). doi:10.1179/cmq.2005.44.4.523
  2. F. Islam, M. Medraj, The phase equilibria in the Mg–Ni–Ca system, Calphad 29, 289-302 (2005). doi:10.1016/j.calphad.2005.08.006
  3. Yu Zhong, Koray Ozturk, Jorge O. Sofo, Zi-Kui Liu, Contribution of first-principles energetics to the Ca–Mg thermodynamic modeling, Journal of Alloys and Compounds 420, 98-106 (2006). doi:10.1016/j.jallcom.2005.10.033
  4. Yu Zhong, Jorge O. Sofo, Alan A. Luo, Zi-Kui Liu, Thermodynamics modeling of the Mg–Sr and Ca–Mg–Sr systems, Journal of Alloys and Compounds 421, 172-178 (2006). doi:10.1016/j.jallcom.2005.09.076
  5. A. Kozlov, M. Ohno, R. Arroyave, Z.K. Liu, R. Schmid-Fetzer, Phase equilibria, thermodynamics and solidification microstructures of Mg–Sn–Ca alloys, Part 1: Experimental investigation and thermodynamic modeling of the ternary Mg–Sn–Ca system, Intermetallics 16, 299-315 (2008). doi:10.1016/j.intermet.2007.10.010