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Bruce S. Hemingway

Publications and source records attributed to Bruce S. Hemingway.

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Heat capacities and entropies from 8 to 1000 K of langbeinite (K 2 Mg 2 (SO 4 ) 3 ), anhydrite (CaSO 4 ) and of gypsum (CaSO 4 ·2H 2 O)

Heat capacities of K 2 Mg 2 (SO 4 ) 3 (langbeinite) and CaSO 4 (anhydrite) were measured from approximately 8 to 1000 K by combined adiabatic shield calorimetry (8-365 K) and differential scanning calorimetry (350-1000 K). Heat capacities were also measured on natural crystals of gypsum (CaSO 4 · 2H 2 O) between 8.1 and 323.5 K. The molar entropies at 298.15 K, S m o (298.15 K), are 378.8 ± 0.6, 107.4 ± 0.2 and 193.8 ± 0.3 J K −1 mol −1 for langbeinite, anhydrite and gypsum, respectively. The heat capacity in J K −1 mol −1 of langbeinite can be represented by the equation C p,m o (K 2 Mg 2 (SO 4 ) 3 T ) = 535.9 + 0.11011 T -1.0200 × 10 6 / T 2 -4.909 × 10 −5 T 2 -4040.2/ T 0.5 between 300 and 1000 K with an average deviation of ± 0.4%. For anhydrite the heat capacity between 300 and 1000 K is given by C p,m o (CaSO 4 , T ) = 372.8 - 0.1574 T +1.695 × 10 6 / T 2 + 7.993 × 10 −5 T 2 - 4330.8/ T 0.5 with an average deviation of ±0.4%. Combining our heat-capacity and entropy data with the solution calorimetric results of Kelley et al. (U.S. Bur. Mines Tech. Paper, 625, 1941) yields an equilibrium temperature for the reaction gypsum → anhydrite + 2 water of 314.7 K (41.5 ° C). Our observations are in agreement with the conclusions of Speer and Salje (Phys. Chem. Miner., 13 (1986) 17); we see no evidence in our heat capacity measurements for the transformation of cubic langbeinite (P2 1 3) to a low temperature orthorhombic (P2 1 2 1 2 1 ) form as is seen in the isostructural Co, Zn, Ca, Mn and Cd langbeinites. Although Bond (Bell Sys. Tech. J., 22 (1943) 145) reported that langbeinite was piezoelectric at room temperature, we found no evidence in our C p o measurements for a Curie temperature above which langbeinite would no longer be piezoelectric.

Thermochimica Acta

Heat capacity and thermodynamic properties of andradite garnet, Ca 3 Fe 2 Si 3 O 12 , between 10 and 1000 K and revised values for ΔfGom (298.15 K) of hedenbergite and wollastonite

The heat capacity of synthetic andradite garnet (Ca 3 Fe 2 Si 3 O 12 ) was measured between 9.6 and 365.5 K by cryogenic adiabatic calorimetry and from 340 to 990 K by differential scanning calorimetry. At 298.15 K C o p , m and S o m are 351.9 ± 0.7 and 316.4 ± 2.0 J/(mol·K), respectively. Andradite has a λ-peak in C o p , m with a maximum at 11.7 ± 0.2 K which is presumably associated with the antiferromagnetic ordering of the magnetic moments of the Fe 3+ ions. The Gibbs free energy of formation, Δ f G o m (298.15 K) of andradite is −5414.8 ± 5.5 kJ/mol and was obtained by combining our entropy and heat capacity data with the known breakdown of andradite to pseudowollastonite and hematite at ≈ 1410 to 1438 K. From a reexamination of the calcite + quartz = wollastonite equilibrium data we obtained Δ f H o m (298.15 K) = − 1634.5 ± 1.8 kJ/mol for wollastonite. Between 300 and 1000 K the molar heat capacity of andradite can be represented by the equation C o p , m = 809.24 - 7.025 × 10−2 T − 7.403 × 10 3 T −0.5 − 6.789 × 10 5 T −2. We have also used our thermochemical data for andradite to estimate the Gibbs free energy of formation of hedenbergite (CaFeSi 2 O 6 ) for which we obtained Δ f G o m (298.15 K ) = −2674.3 ± 5.8 kJ/mol.

Geochimica et Cosmochimica Acta

Enthalpies of formation of low albite (NaAlSi 3 O 8 ), gibbsite (Al(OH) 3 ), and NaAlO 2 ; revised values for Δ H ° f,298 and Δ G ° f,298 of some aluminosilicate minerals

The enthalpies of formation from the elements Δ H ° t , of low albite, analbite, NaAlSi 3 O 8 glass, gibbsite (Al(OH) 3 ), and NaAlO 2 , have been determined by hydrofluoric acid solution calorimetry from measurements of the heats of solution, Δ H ° soln , of low albite, NaAlO 2 , SiO 2 , Al(OH) 3 , Al, H 2 O, NaCl, and HC1-12.731H 2 O in 20.1 weight percent HF(aq) at temperatures between 303.15 and 348.15 K. At 298.15 K the enthalpies of formation, Δ H ° f,298 , for low albite, analbite, NaAlSi 3 O 8 glass, gibbsite ( Al(OH) 3 ), and NaAlO 2 are -3 935 115±3415, -3 924 235±3640, -3 875 455±3700, ±1293130±1190, and 1135 990±1255 J mol -1 , respectively. Our values for the enthalpies of formation of low albite, analbite, and for NaAlSi 3 O 8 glass are approximately 13 810 J mol -1 more negative than the values calculated by D. R. Waldbaum in 1968. Our value for the enthalpy of formation of gibbsite at 298.15 K is 11234 J more negative than the value of R. Barany and K. K. Kelley obtained in 1961. The standard Gibbs free energies of formation, Δ G ° f,298 for low albite, analbite, and gibbsite calculated from the above enthalpies and the appropriate entropy data are -3 711 715±3435, -3 706 500±3660, and -1154 890±1200 J mol -1 , respectively. The enthalpy of solution of Standard Reference Material 1654, α-quartz (37 to 74 μm), in 20.1 wt percent HF(aq) is -137 737±209 J mol -1 at 333.15 K. This value is approximately 1255 J less negative than the value obtained by King in 1951 and 1952 for material that has a mean particle diameter of less than 5 μm and that has been used by the U.S. Bureau of Mines in their determinations of the enthalpies of formation of many silicates. Revised values of the enthalpies and Gibbs free energies of formation are presented for some aluminosilicate minerals, based upon this new data for Δ H ° f,298 of gibbsite and the heat of solution of α-quartz.

Journal of Research of the U.S. Geological Survey

Heat capacities of gibbsite, Al(OH)3, between 13 and 480 K and magnesite, MgCO3, between 13 and 380 K and their standard entropies at 289.15 K, and the heat capacities of Calorimetry Conference benzoic acid between 12 and 316 K

The heat capacities of gibbsite and magnesite were measured between 13 and 380 K by means of an adiabatic calorimeter. The heat capacity of gibbsite was measured continuously between 340 and 480 K by means of a differential scanning calorimeter. Tables of the thermodynamic functions C° P , (H° T –H° O )/T ,– (G° T –H° O )/T , and S° T –S° O are presented for these phases at integral temperatures. S° T –S° O are 68.44±0.14 J/(K•mol) and 65.09±0.13 J/(K•mol) at 298.15 K for gibbsite and magnesite, respectively. The heat capacities of Calorimetry Conference benzoic acid have been remeasured between 12 and 316 K.

Journal of Research of the U.S. Geological Survey

The heat capacities at low temperatures and entropies at 298.15 K of low albite, analbite, microline, and high sanidine

The heat capacities of low albite and analbite, NaAlSi 3 O 8 , and of microcline and high sanidine, KAlSi 3 Og, have been measured from 15 to 375 K using an adiabatic calorimeter. Tables of the thermodynamic functions C° p , (H° T –H° 0 )/T, (G° T –H° 0 )/T, and S° T –S° 0 are presented for these four feldspars from 0 to 370 K. At 298.15 K (25.0°C) the values for S° T S° 0 for low albite, analbite, microcline, and high sanidine are 207.4±0.4, 207.7±0.4, 214.2±0.4, and 214.2±0.4 J/(mol . K), respectively. The effect of the state of Al/Si order upon the heat capacity is quite small. The difference, ΔC° p , between albite-analbite and microcline-sanidine never exceeds 0.5 percent at temperatures below 400 K. With the exception of microcline, the heat capacities of these four feldspars follow a smooth S-shaped curve between 15 and 375 K, with no indication of transitions or anomalous behavior. Above 250 K, the heat capacity of microcline shows a form of thermal hysteresis. In the temperature range 250 to 375 K, the heat capacity of microcline is dependent upon its past thermal history. At 375 K, microcline which had been cooled to 230 K before the measurement of C° p has a heat capacity greater by approximately 1.2 percent than microcline which had not been previously cooled below 295 K. After a day of annealing at about 300 K, C° p of the previously cooled microcline decreases to essentially the same value as the microcline which had never been at a temperature below 300 K.

Journal of Research of the U.S. Geological Survey

The heat capacities of Calorimetry Conference copper and of muscovite KAl2(AlSi3)O10 (OH)2, pyrophyllite Al2Si4O10(OH)2, and illite K3(Al7Mg)(Si14Al2)O40(OH)8 between 15 and 375 K and their standard entropies at 298.15 K

The heat capacities of Calorimetry Conference copper and of muscovite, pyrophyllite, and illite were measured between 15 and 375 K using an adiabatic calorimeter. Tables of the thermodynamic functions C° p .( H° T — H° O ) /T , ( G° T —H° O ) /T , and S° T —S° O are presented for these phases at integral temperatures from 0 to. 370 K. At 298.15 K (25.0°C), S° T —S° O is 33.12±0.06, 287.7±0.6, 239.4±0.4, and 1,104.2±0.6 J/(mol•K) for copper, muscovite, pyrophyllite, and illite, respectively. The operation of a semiautomatic data-acquisition system for calorimetric measurements at low temperatures is also described, together with a description of a miniature calorimeter having a novel closure seal.

Journal of Research of the U.S. Geological Survey

A calorimetric determination of the standard enthalpies of formation of huntite, CaMg3 (CO3)4 , and artinite, Mg2(OH)2 CO3 * 3H2O, and their standard Gibbs free energies of formation

The enthalpies of formation, ΔH° f, of huntite, CaMg 3 (CO 3 ) 4 , and artinite, Mg 2 (OH) 2 CO 3 * 3H 2 O, have been determined by HCl solution calorimetry using a constant-volume isoperibol reaction calorimeter. For the reaction CaO(c) + 3MgO(c) + 4CO 2 (g) = CaMg 3 (CO 3 ) 4 (c), the enthalpy change at 298.15 K, ΔH° 298 , is -123,203±145 cal mol -1 . For the reaction 2MgO(c) + 4H 2 O(l) + CO 2 (g)=Mg 2 (OH) 2 CO 3 * 3H 2 O(c), we obtained -45,132±100 cal mol -1 . These results combined with the standard enthalpies of formation of CaO, MgO, H 2 O, and CO 2 lead to ΔH° 298 (huntite) = -1,082,600±375 cal mol -1 and ΔH° 298 (artinite) = -698,043±170 cal mol -1 . Using recently determined values for the standard entropies of huntite, CaMg 3 (CO 3 ) 4 , and artinite, Mg 2 (OH) 2 CO 3 * 3H 2 O, and of Mg, Ca, C, O 2 , and H 2 , we calculate ΔG° f,298 (huntite) = -1,004,707±390 cal mol -1 and ΔG° f,298 (artinite) = -613,924±180 cal mol -1 .

Journal of Research of the U.S. Geological Survey

The enthalpies of formation of nesquehonite, MgCO3 * 3H2O, and hydromagnesite, 5MgO * 4CO2 * 5H2O

The enthalpies of formation, ΔH° f , of nesquehonite, MgCO 3 * 3H 2 O, and hydromagnesite, 5MgO * 4CO 2 * 5H 2 O, have been determined by HCl solution calorimetry. For the reaction MgO(c) + CO 2 (g) + 3H 2 O(l) = MgCO 2 * 3H 2 O(c), the enthalpy change at 298.15 K is -29,781*40 cal mor' . For the reaction 5MgO(c) + 4CO 2 + 5H 2 O = 5MgO * 4CO 2 * 5H 2 O, the enthalpy change at 298.15 K is -120,310±120 cal. For MgCO 3 * 3H 2 O the standard molar enthalpy and standard Gibbs free energy of formation, ΔH° f,298 and ΔG° f,298 are -472,576+110 and 412,040±120 cal. ΔH° f,298 and ΔG° f,298 for 5MgO * 4CO 2 * 5H 2 O are -1,557,090±250 and -1,401,71 0±250 cal.

Journal of Research of the U.S. Geological Survey