202005petasa0journalOriginalPet'kov, V. I.Asabina, E. A.Kir'yanov, K. V.Markin, A. V.Smirnova, N. N.Kitaev, D. B.Kovalsky, A. M.J. Chem. Thermodyn.20052005-03-24Thermodynamic properties of trizirconium tetraphosphateThe heat capacity measurements of the crystalline trizirconium tetraphosphate were carried out in a low-temperature adiabatic vacuum calorimeter between T = (7 and 350) K and in dynamic calorimeter between T = (330 and 640) K. The experimental data were used to calculate the standard (p = 0.1 MPa) thermodynamic functions (where R is the universal gas constant) in the range T ? (0 to 640) K. The fractal dimension Dfr for the crystalline phosphate Zr3(PO4)4 between T = (20 and 40) K was evaluated. From hydrofluoric acid solution microcalorimetry, the enthalpy of solution of Zr3(PO4)4 at T = 298.15 K was determined and the standard molar enthalpy of formation was derived. By combining the data obtained by the two techniques, the standard molar Gibbs function of formation of Zr3(PO4)4 at T = 298.15 K was calculated.Trizirconium tetraphosphateHeat capacityEnthalpy of solutionThermodynamic functionsCalorimetry37467-4761trizirconium tetraphosphateO16P4Zr31Synthesized by the authors1Unspecified1972Estimated by the compiler2zirconiumZr3phosphorousP4oxygenO211Principal objective of the workSJRTRC3/23/20051Molar heat capacity at constant pressure, J/K/molSmall (less than 1 g) adiabatic calorimetryCrystalDirect value, X1AuthorCrystalPressure, kPa101.32561Temperature, K17.0431.347544929631.000695089859217.5331.44482425231.00088964850418.0131.539609232831.001079218465618.4431.6443715831.0012887431618.9931.734167877631.001468335755219.5631.86470508831.001729410176110.0341.98942216831.001978844336110.48411.2055984431.00241119688110.93411.46334707231.002926694144111.36411.63379374841.00326758749617.1231.350039271231.000700078542417.5731.450644382431.000901288764818.0831.54459791631.00108919583218.5331.645203027231.00129040605441931.730842088831.001461684177619.5631.85639061631.001712781232110.0341.98942216831.001978844336110.49411.22222738431.002444454768110.94411.43840365631.002876807312111.37411.665388741641.0033307774832111.82411.838329759241.0036766595184112.37412.147628117641.0042952562352113.07412.555037245641.0051100744912113.75412.895099150441.0057901983008114.44413.359878135241.0067197562704115.12413.869555268841.0077391105376115.78414.412490290441.0088249805808116.5415.031087007241.0100621740144117.16415.744468704841.0114889374096117.83416.31068424841.012621368496118.49416.978336349641.0139566726992119.15417.744099220841.0154881984416119.81418.4391890841.01687837816121.364110.3099452841.02061989056123.74113.27821178441.026556423568126.054116.49591244841.032991824896128.434120.06282093641.040125641872130.814124.07871091241.048157421824133.224128.269204841.0565384096135.654132.53452893641.065069057872138.094136.82479648841.073649592976140.544141.2397811241.08247956224142.994145.82105519241.091642110384145.454150.74322261641.101486445232147.914155.44921376841.110898427536150.374160.08037467241.120160749344152.844164.80299476841.129605989536155.324169.35101095241.138702021904157.794174.0819455241.14816389104160.274178.85445244841.157708904896162.744184.3087460841.16861749216165.224188.7154162441.17743083248167.694193.6209547241.18724190944170.174198.6927826441.19738556528172.6441103.0163080841.20603261616175.1141108.503859641.2170077192177.5941112.9936744841.22598734896180.0741117.7329235241.23546584704182.5541122.222738441.2444454768185.0341126.2968296841.25259365936187.5241130.6203551241.26124071024183.1341122.8878961641.24577579232185.6341127.5440004841.25508800096188.0741132.1169600841.26423392016190.5141136.2741960841.27254839216192.9541140.6808662441.28136173248195.3941145.3369705641.29067394112197.8341149.8267854441.299653570881100.8651155.3974816841.310794963361103.3451159.8041518441.319608303681105.7751163.7119536841.327423907361122.7751191.648579641.38329715921125.1951195.39009241.3907801841127.6151198.9653149641.397930629921130.0251203.0394062441.406078812481132.4451206.4483397641.412896679521134.8551209.94041841.4198808361137.2651213.5987856841.427197571361139.6651217.007719241.43401543841142.0751220.2503632841.440500726561144.4751223.8255862441.447651172481146.8751227.3176644841.454635328961149.2751230.310874441.46062174881151.6751233.9692420841.467938484161154.0651237.4613203241.474922640641156.4551240.1219513641.480243902721158.8451243.5308848841.487061769761161.2251246.6903842441.493380768481163.6151249.6835941641.499367188321165.9951252.6768040841.505353608161168.3651255.7531587241.511506317441170.7451258.8295133641.517659026721173.1151261.5732891241.523146578241175.4851264.5664990441.529132998081177.8251267.4765642441.534953128481180.1951270.3034847241.540606969441182.5551273.130405241.54626081041184.951276.2067598441.552413519681187.2651278.950535641.55790107121189.651281.5280219241.563056043841191.9551284.1055082441.568211016481194.2951286.9324287241.573864857441196.6151289.343625641.57868725121198.9551292.253690841.58450738161201.2951294.9143218441.589828643681203.6251297.3255187241.594651037441108.2151168.1186238441.336237247681110.6451172.0264256841.344052851361113.0751176.0173722441.352034744481205.9451299.6535708841.599307141761208.2551302.3973466441.604794693281210.5651304.8916882441.609783376481212.8751307.1365956841.614273191361215.1351309.71408241.6194281641217.4351311.9589894441.623917978881219.7251314.287041641.62857408321222.0151316.4488043241.632897608641224.351319.0262906441.638052581281226.5851321.2711980841.642542396161228.8651323.7655396841.647531079361231.251325.8441576841.651688315361233.3951327.8396309641.655679261921235.6551330.3339725641.660667945121237.8951332.163156441.66432631281240.1351334.4080638441.668816127681242.3651336.6529712841.673305942561244.651338.6484445641.677296889121246.8151340.89335241.6817867041249.0451342.8056805641.685611361121251.1851344.8842985641.689768597121253.451347.12920641.6942584121255.7651349.4572581641.698914516321257.8151351.1201525641.702240305121260.0151352.8661916841.705732383361262.2151355.027954441.71005590881264.3951357.0234276841.714046855361266.5751359.0189009641.718037801921268.7351361.263808441.72252761681270.951363.0929922441.726185984481273.0351365.0884655241.730176931041275.1751367.0007940841.734001588161277.3151368.9962673641.737992534721279.4451370.825451241.74165090241281.5551372.7377797641.745475559521115.551180.1746082441.360349216481117.9251183.9161206441.367832241281120.3551187.8239224841.375647844961283.6451374.4838188841.748967637761285.6151376.3130027241.752626005441287.6851378.1421865641.756284373121289.7451379.6387915241.759277583041291.8251381.634264841.76326852961293.8951383.4634486441.766926897281295.9551385.1263430441.770252686081297.9751387.038671641.77407734321299.9751388.70156641.7774031321301.9751390.2813156841.780562631361303.9951391.8610653641.78372213072130651393.4408150441.786881630081308.0151395.0205647241.79004112944131051396.600314441.79320062881311.9851398.1800640841.796360128161313.9551399.926103241.79985220641315.8751401.5058528841.803011705761317.5551402.836168441.80567233681319.4951404.3327733641.808665546721321.4351405.746233641.81149246721323.3751407.0765491241.814153098241325.2951408.5731540841.817146308161327.251410.0697590441.820139518081329.0751411.4832192841.822966438561330.9351412.9798242441.825959648481332.8351414.476429241.82895285841334.7251415.8898894441.831779778881336.651417.386494441.83477298881338.4851418.7999546441.837599909281340.3451420.1302701641.840260540321342.2351421.6268751241.843253750241344.151423.3729142441.846745828481345.9751424.5369403241.849073880641347.8551425.9504005641.851900801121349.7151427.5301502441.8550603004811Principal objective of the workSJRTRC3/23/20051Molar heat capacity at constant pressure, J/K/molautomated dynamic calorimeter ADCTTBCrystalDirect value, X1AuthorCrystalPressure, kPa101.32561Temperature, K1331.941414.0607056314.1406070561334.141415.7236314.1572361336.241417.3864944314.1738649441338.341418.2179416314.1821794161340.441419.880836314.198808361342.541422.3751776314.2237517761344.641424.038072314.240380721346.741425.7009664314.2570096641348.841426.5324136314.2653241361350.941428.195308314.281953081352.941429.8582024314.2985820241354.941431.5210968314.3152109681356.841433.1839912314.3318399121358.741434.8468856314.3484688561360.541435.6783328314.3567833281362.341437.3412272314.3734122721364.141438.1726744314.3817267441365.941439.8355688314.3983556881367.641441.4984632314.4149846321369.341442.3299104314.423299104137141443.9928048314.4399280481372.741444.824252314.448242521374.441446.4871464314.4648714641376.141447.3185936314.4731859361377.841448.981488314.489814881379.541450.6443824314.5064438241381.241451.4758296314.5147582961382.941452.3072768314.5230727681384.641453.9701712314.5397017121386.341455.6330656314.556330656138841456.4645128314.5646451281389.841458.1274072314.5812740721391.641458.9588544314.5895885441393.341460.6217488314.6062174881519.741537.9463384315.3794633841521.541538.7777856315.3877778561523.341539.6092328315.3960923281525.141540.44068315.40440681526.841541.2721272315.4127212721528.641542.1035744315.4210357441530.441542.9350216315.4293502161532.241543.7664688315.4376646881533.941544.597916315.445979161535.741545.4293632315.4542936321537.541546.2608104315.4626081041539.341547.0922576315.470922576154141547.9237048315.4792370481542.841548.755152315.487551521544.641549.5865992315.4958659921546.441550.4180464315.5041804641548.241551.2494936315.5124949361549.941552.0809408315.5208094081551.741552.912388315.529123881553.541552.912388315.529123881555.341554.5752824315.5457528241557.241554.5752824315.545752824155941555.4067296315.5540672961395.141461.453196314.614531961396.941463.1160904314.6311609041398.741464.7789848314.6477898481400.541465.610432314.656104321402.441467.2733264314.6727332641404.241468.1047736314.6810477361406.141469.767668314.697676681407.941470.5991152314.7059911521409.841472.2620096314.7226200961411.741473.924904314.739249041413.541474.7563512314.7475635121415.441476.4192456314.7641924561417.341477.2506928314.7725069281419.141478.9135872314.789135872142141479.7450344314.7974503441422.841481.4079288314.8140792881424.741482.239376314.822393761426.541483.9022704314.8390227041428.441484.7337176314.8473371761430.241486.396612314.86396612143241487.2280592314.8722805921433.841488.0595064314.8805950641435.741489.7224008314.8972240081437.541490.553848314.905538481439.341492.2167424314.9221674241441.141493.0481896314.9304818961442.941494.711084314.947110841444.741495.5425312314.9554253121446.541497.2054256314.9720542561448.341498.0368728314.9803687281450.141498.86832314.98868321451.941500.5312144315.0053121441453.741501.3626616315.0136266161455.541502.1941088315.0219410881560.841556.2381768315.5623817681562.641557.069624315.570696241564.541557.9010712315.5790107121566.341558.7325184315.5873251841568.241559.5639656315.595639656157041559.5639656315.5956396561571.841560.3954128315.6039541281573.741561.22686315.61226861575.541562.0583072315.6205830721577.341562.0583072315.6205830721579.241562.8897544315.628897544158141563.7212016315.6372120161582.841564.5526488315.6455264881584.641565.384096315.653840961586.441565.384096315.653840961588.341566.2155432315.6621554321590.141567.0469904315.6704699041591.941567.0469904315.6704699041593.641567.8784376315.6787843761595.441568.7098848315.6870988481597.241568.7098848315.687098848159941569.541332315.695413321600.841569.541332315.695413321457.341503.025556315.030255561459.141503.8570032315.0385700321460.941505.5198976315.0551989761462.741506.3513448315.0635134481464.641508.0142392315.0801423921466.441508.8456864315.0884568641468.241510.5085808315.1050858081470.141511.340028315.113400281471.941512.1714752315.1217147521473.741513.0029224315.1300292241475.641514.6658168315.1466581681477.441515.497264315.154972641479.341516.3287112315.1632871121481.241517.1601584315.171601584148341518.8230528315.1882305281484.941519.6545315.1965451486.741520.4859472315.2048594721488.641521.3173944315.2131739441490.441522.1488416315.2214884161492.341523.811736315.238117361494.241524.6431832315.246431832149641525.4746304315.2547463041497.941526.3060776315.2630607761499.841527.968972315.279689721501.741528.8004192315.2880041921503.541529.6318664315.2963186641505.441530.4633136315.3046331361507.241531.2947608315.312947608150941532.126208315.321262081510.841532.9576552315.3295765521512.641533.7891024315.3378910241514.441535.4519968315.3545199681516.241536.283444315.362834441517.941537.1148912315.3711489121602.541570.3727792315.7037277921604.341571.2042264315.7120422641606.141571.2042264315.7120422641607.941571.2042264315.7120422641609.741572.0356736315.7203567361611.541572.8671208315.7286712081613.341572.8671208315.7286712081615.141572.8671208315.7286712081616.941573.698568315.736985681618.841573.698568315.736985681620.641574.5300152315.7453001521622.441574.5300152315.7453001521624.341575.3614624315.7536146241626.141575.3614624315.753614624162841575.3614624315.7536146241629.941576.1929096315.7619290961631.841576.1929096315.7619290961633.641576.1929096315.7619290961635.541577.0243568315.7702435681637.441577.0243568315.7702435681639.341577.0243568315.77024356811Principal objective of the workSJRTRC3/23/20051Molar heat capacity at constant pressure, J/K/molSmall (less than 1 g) adiabatic calorimetryCrystalDirect value, X1AuthorCrystalPressure, kPa101.32561Temperature, K1511.128042868831.000256085737611021.988590720841.0019771814416115213.773938840841.0075478776816120218.66367982441.0173273596481252115.01593643241.0300318728641302122.66525067241.0453305013441352131.1376976441.062275395281402140.44159180841.0808831836161452149.72885703241.0994577140641502159.29049983241.1185809996641602178.64659064841.1572931812961702198.1939143241.1963878286418021117.4003446441.2348006892819021135.6090383241.27121807664110031153.7345872841.30746917456111031170.9455443241.34189108864112031187.2419094441.37448381888113031202.7899720841.40557994416114031217.5897322441.43517946448115031231.6411899241.46328237984116031245.1106345641.49022126912117031257.9980661641.51599613232118031270.3034847241.54060696944119031282.0268902441.56405378048120031293.2514274441.58650285488121031304.1433857641.60828677152122031314.5364757641.62907295152123031324.5969868841.64919397376124031334.4080638441.66881612768125031343.8865619241.68777312384126031353.1987705641.70639754112127031362.2615450441.72452309008128031371.241174841.7424823496129031379.971370441.75994274081298.1551386.9555268841.77391105376130031388.5352765641.77707055312131031396.8497485641.79369949712132031404.8316416841.80966328336133031412.2315217641.82446304352134031420.0471254441.84009425088135031427.363860831.8547277216136031435.678332831.8713566656137031443.161357631.8863227152138031450.644382431.9012887648139031458.127407231.9162548144140031465.61043231.931220864141031472.262009631.9445240192142031478.913587231.9578271744143031486.39661231.972793224144031492.216742431.9844334848145031498.8683231.99773664146031504.6884504311.0093769008147031511.340028311.022680056148031517.1601584311.0343203168149031522.1488416311.0442976832150031527.968972311.055937944151031532.9576552311.0659153104152031537.9463384311.0758926768153031542.9350216311.085870043211Principal objective of the workSJRTRC3/23/20051Molar enthalpy function {Hm(T)-Hm(0)}/T, J/K/molSmall (less than 1 g) adiabatic calorimetryCrystalDifference with the reference state, X-X(REF)Reference phase with the same composition at fixed temperature and pressureCrystal1AuthorCrystalPressure, kPa101.32561Temperature, K1511.0399926103231.0000799852206411021.2599935394441.0005199870788811521.879671137641.0017593422752120212.180054558441.0043601091168125214.095708907241.0081914178144130216.613331028841.0132266620576135219.53669938441.0190733987681402112.7211421641.025442284321452116.37119536841.0327423907361502120.21248143241.0404249628641602128.27751927241.0565550385441702136.8746833241.073749366641802145.73791047241.0914758209441902154.68428234441.10936856468811003163.71379893641.12742759787211103172.65185633641.14530371267211203181.55665584841.16311331169611303190.2951659241.1805903318411403198.8590720841.19771814416115031107.256688841.2145133776116031115.4048713641.23080974272117031123.469909241.2469398184118031131.2855128841.26257102576119031138.851682441.2777033648120031146.334707241.2926694144121031153.5682978441.30713659568122031160.6355990441.32127119808123031167.536610841.3350732216124031174.3544778441.34870895568125031180.9229107241.36184582144126031187.4081988841.37481639776127031193.6440528841.38728810576128031199.8799068841.39975981376129031205.9494714441.411898942881298.1551210.771865241.4215437304130031211.8527465641.42370549312131031217.6728769641.43534575392132031223.4098626441.44681972528133031229.063703641.4581274072134031234.5512551241.46910251024135031240.288240831.4805764816136031245.27692431.490553848137031250.265607231.5005312144138031256.085737631.5121714752139031261.074420831.5221488416140031266.06310431.532126208141031271.051787231.5421035744142031276.040470431.5520809408143031280.197706431.5603954128144031285.186389631.5703727792145031290.175072831.5803501456146031294.332308831.5886646176147031299.32099231.598641984148031303.47822831.606956456149031307.63546431.615270928150031312.624147231.6252482944151031316.781383231.6335627664152031320.938619231.6418772384153031325.095855231.650191710411Principal objective of the workSJRTRC3/23/20051Molar entropy, J/K/molSmall (less than 1 g) adiabatic calorimetryCrystalDifference with the reference state, X-X(REF)Reference phase with the same composition at fixed temperature and pressureCrystal1AuthorCrystalPressure, kPa101.32561Temperature, K1511.0425700966431.0000851401932811021.3413922203241.00068278444064115211.164857527241.0023297150544120212.878470206441.0057569404128125215.475911259241.0109518225184130218.83828373641.0176765674721352112.93731843241.0258746368641402117.76802666441.0355360533281452122.88974141641.0457794828321502128.5186389641.057037277921602141.31461136841.0826292227361702154.7507981241.109501596241802169.28449517641.1385689903521902184.0593119241.1681186238411003199.357940441.1987158808111031114.8228583241.22964571664112031130.4540656841.26090813136113031146.0021283241.29200425664114031161.6333356841.32326667136115031177.098253641.3541965072116031192.480026841.3849600536117031207.6955105641.41539102112118031222.827849641.4456556992119031237.793899241.4755877984120031252.5105146441.50502102928121031267.0608406441.53412168128122031281.444877241.5628897544123031295.6626243241.59132524864124031309.71408241.619428164125031323.5992502441.64719850048126031337.2349843241.67446996864127031350.7044289641.70140885792128031364.0907288841.72818145776129031377.2275946441.754455189281298.1551387.870118841.7757402376130031390.2813156841.78056263136131031403.1687472841.80633749456132031415.8898894441.83177977888133031428.4447421641.85688948432134031440.8333054441.88166661088135031453.13872431.906277448136031465.61043231.931220864137031477.250692831.9545013856138031488.890953631.9777819072139031501.3626616311.0027253232140031513.0029224311.0260058448141031524.6431832311.0492863664142031535.4519968311.0709039936143031547.0922576311.0941845152144031558.7325184311.1174650368145031569.541332311.139082664146031580.3501456311.1607002912147031591.1589592311.1823179184148031601.9677728311.2039355456149031612.7765864311.2255531728150031623.5854311.2471708151031634.3942136311.2687884272152031644.37158311.28874316153031655.1803936311.310360787220-3Crystal30-4Crystal111Crystal40-8GasPrincipal objective of the workJCEJCE3/24/2005Formation of a compound from elements in their stable state1Molar enthalpy of reaction, kJ/molOther298.15510031Author1-3597415