d.popov, knpp, bg o.runevall, kth, se

Investigation of "dry" recriticality of the melt during late in-vessel phase of severe accident in Light Water Reactor

D.Popov, KNPP, BGO.Runevall, KTH, SeInternational Conference Nuclear power for the people, 18 21 September 2013, Sl.Briag, Bulgaria

ContentHistory of the problemWorking taskMethodologyResults 4.1. From MCNP 4.2. From ASTEC calculations 4.3. From Thermocalc calculations 4.4. Calculation of KeffConclusionThis work has been performed in 2006-2007, but first reported now*

*HISTORY of the problem - contd

After issuing the results from MASCA (Fig.1) project, and especially about the formation of a layer of pure metals (U, Zr, Fe) at the bottom of the experimental nstallationThe explanation is that at high temperatures, Zr and possibly other metals like Fe, Cr, Ni are more chemically active to recombine the Oxygen than heavy metals like Uranium:

at T>2300K: UO2+Zr->ZrO2+U .(1)

Fig.1 MASCA experimental results

The MASCA project has shown that in late stage of in-vessel phase of SA, the formed pool is stratified at least at three levels: - upper metallic layer - medium oxidic layer - lower heavy metals (including U and Zr) The oxidic layer is the largest one among the three ones. It also can be sub-stratified depending on the density of some oxides (shown in the table in the right).

*HISTORY of the problem - contd

*Referent: the 11th cycle of Unit 5, KNPP, VVER-1000:Result from ORIGEN: 362 kg of Pu-239 at EOC, T=261.4 efpd, but also: 6 kg of Pu-238 113 kg of Pu-240 72 kg of Pu-241 17 kg of Pu-242Total amount of Pu 517 kg, from 70400 kg UO2 (61881 kg U) at average burn-up ~26 MW.d/kgU

HISTORY of the problem - contd

*HISTORYof the problem - contdAt the end of cycle in a VVER (LWR) it will be formed a considerable amount of Pu , mainly due to the following thermochemical reaction at T>2000:

PuO2+Zr->ZrO2+Pu.(2)This quantity will be present in the pool formed in late in-vessel phase of SA of LWR, when all the water is evaporated (the pool is dry)Could it form some critical configuration? 7- 8 kilograms of liquid Pu metal accumulated in the bottom of the reactor be enough for recriticallity on fast neutrons?There was no information about the investigation of Pu behavior in the molten pool in the open literature

*Working taskInside of the deep pool formed during in-late phase, the plutonium could be formed due mainly to reaction (1) and to exist in pure metallic form HOW MUCH plutonium can be accumulated? Can it form critical mass at given geometry?This problem had to be checked further by numerical simulations

*MethodologyRun MCNP calculations for a typical core loading at 40 MWd/tU 4,4% enrichment and new Zirconium content for TVSA assemblies to calculate the fission productsRun ASTEC (v.1.3 at the time) for:assessment of Pu decrease in form of FP release of Pu oxidesquantitative assessment of pool componentsRun Thermocalc code for Thermochemical equilibrium calculations (through solving the Gibbs equation) to assess the chemical form of Pu and the mixture of heavy metals in the bottom layerRun again MCNP with the Pu and othe heavy metals formed after achievement of thermochemical balance in the pool to calculate Keff

*Results from ASTEC calculationsRun for VVER-1000: - slow accident progression: SB LOCA + Total Loss of Feedwater (TLFW), Safety systems no available

Result: The rate of PuO2 release as FP is

quantitative assessment of pool components after the core and RPV internals degradation *Results from ASTEC calculations contdInitial mass of components for the Thermocalc calculations (kg)

Total mass of molten material ~142 t (not taking into account some other components like B4C, Cr etc. for the next calculations)

UFeZrO65265520002165010959

*- There were quite rescently published solution models for the U-O-Zr and the Pu-O-Zr systemsThese were used for thermochemical calulations to estimate the composition of the different layersThe time scale allowed the system to reach equilibrium

Results transition from ASTEC to Thermocalc calculations

Results from Thermocalc calculations*3 sensitivity calculations for different amount of Fe in the thermodynamic equilibrium metallic layer of the lower part of pool before oxidation and minimization of Gibbs energy:

Chart21

103874.5777863.94651841.614

103533.377522.25951499.266

103209.7477198.08351174.091

10290376890.48750865.084

Fe=50%

Fe~33%

Fe=0

T, K

kg

Mass of Metallic layer

Initial

UFeZrBO

65265520002165028610959

10985

11011

11037

11063

11089

11115

11141

11167

11193

11219

11245

11271

11297

11323

11349

11375

11401

11427

11453

11479

11504

11530

11556

11582

11608

11634

11660

11686

11712

11738

11764

11790

11816

11842

11868

11894

11920

11946

11972

11998

12024

12050

12076

12102

12128

12154

12180

12206

12232

12258

12284

12310

12336

12362

Results

ThermocalcMCNP

TemperatureWeight metallic layer [kg]Wt%-FeWt%-ZrWt%-UWt%-PuWeight ionic/oxide layer [kg]Wt%-ZrO2Wt%-FeOWt%-Fe3O4Wt%-UO2Wt%-PuO2Wt%-Pu2O3keffstd

2900103874.5750.0551415.89742533.5041270.5433078238003.15718.2574240.01841048081.2126710.138589340.372905490.429770.0001

290099968.31652.01004415.70030331.7528190.5368336842610.91218.8763880.019429035080.576040.143357950.384784870.422180.0001

3000103533.350.21788116.156333.0840220.5417964638344.42917.3418840.026071612082.1149510.149698010.367395170.428220.0001

300099604.39652.19729115.9867331.2811950.5347831342974.83317.9994020.027551637081.4387910.154989260.379266370.420260.0001

3100103209.7450.37234316.40387832.683770.5400091838667.98916.4867720.036052962082.9538340.160720710.362620230.426220.0001

310099258.61452.37545816.26151630.8306130.5324126343320.61517.1776440.038151631082.2431880.166545350.374470450.417970.0001

320010290350.51866116.64071232.3026320.5379945238974.72915.6867650.048793925083.7343570.171612690.358471870.424250.0001

320098930.06452.54465116.5252430.400330.5297791343649.16416.4062940.051704463082.9937330.177978540.370289910.415980.0001

290077863.94633.38718221.20998944.7040240.6988060138013.78218.2468070.011584125081.1719210.133528580.436159250.494330.00012

290073956.41135.15033821.22471442.9291890.6957589242622.81718.8657040.012288871080.5372220.137360270.447424610.487840.00012

300077522.25933.53244621.5787944.1910240.6977396538355.46917.3326110.016404543082.0768220.144263280.429899680.49250.00012

300073592.01435.32200821.63928842.3445910.6941126742987.21417.9901260.017426364081.4026880.148541130.441217580.485840.00012

310077198.08333.67075821.93216143.7008330.6962482138679.64516.4789790.022684728082.9189490.154915390.424471360.490540.00012

310073245.53735.48594622.03787341.7842090.6919723643333.69117.1699590.024130688082.2104410.159650370.435818190.48270.00012

320076890.48733.80222622.2707843.2325970.6943977138987.24115.6806230.030701029083.7034780.165442180.419755590.488680.00012

320072916.0335.64223322.42116541.2471870.6894152743663.19916.4004240.032702455082.965120.170642760.431111160.4810.00012

290051841.614031.86354967.1709860.9654648338036.11418.2231530081.0818920.122641370.572313710.588460.00017

290047931.272032.75749766.2686850.9738176242647.95618.841760080.4510830.124411220.582744980.585040.00017

300051499.266032.48863666.5449340.9664295438378.46217.3115150081.9913730.132555970.564556180.586540.00017

300047566.095033.48626965.5392660.9744651743013.13317.9688520081.3213750.13460010.575172340.582180.00017

310051174.091033.0900565.9433210.9666294238703.63716.4606520082.8391480.142393840.557806520.584460.00017

310047218.464034.19042564.8353570.9742181243360.76417.1516530082.1350640.144723570.568559280.579940.00017

320050865.084033.66862965.3652070.9661633639012.64415.6653390083.6306160.152116030.55192930.58240.00018

320046887.346034.87077464.1560350.9731912543691.88216.3854620082.897020.154740990.562777740.577830.00017

1st row-O2 min

UFeZrO

652655200021650109591389151418782963Oxygene?

1st row 1st setFe ~ 50%

ThermocalcMCNP

TemperatureWeight metallic layer [kg]Wt%-FeFe, kgWt%-ZrZr, kgWt%-UU, kgWt%-PuPu, kgWeight ionic/oxide layer [kg]Wt%-ZrO2Wt%-FeOWt%-Fe3O4Wt%-UO2Wt%-PuO2Wt%-Pu2O3keffstd

290010387550.055145199515.8974251651333.504127348020.5433078256410331038003.15718.25742469380.018410487.00081.2126710.1385893452.670.37290549141.720.429770.0001

300010353350.2178815199216.15631672733.084022342530.5417964656138344.42917.34188466500.02607161210.00082.1149510.1496980157.400.36739517140.880.428220.0001

310010321050.3723435198916.4038781693032.68377337330.5400091855738667.98916.48677263750.03605296213.94082.9538340.1607207162.150.36262023140.220.426220.0001

320010290350.5186615198516.6407121712432.302632332400.5379945255438974.72915.68676561140.04879392519.02083.7343570.1716126966.890.35847187139.710.424250.0001

1st row 2d setFe ~ 33%

ThermocalcMCNP


29007786433.3871822599721.2099891651544.704024348080.698806015447732038013.78218.24680769360.0115841254.40081.1719210.133528580.43615925165.800.494330.00012

30007752233.5324462599521.578791672844.191024342580.6977396554138355.46917.33261166480.0164045436.29082.0768220.144263280.42989968164.890.49250.00012

31007719833.6707582599321.9321611693143.700833337360.6962482153738679.64516.47897963740.0226847288.77082.9189490.154915390.42447136164.180.490540.00012

32007689033.8022262599122.270781712443.232597332420.6943977153438987.24115.68062361130.03070102911.97083.7034780.165442180.41975559163.650.488680.00012

1st row 3d setFe = 0

ThermocalcMCNP


2900518420031.8635491651967.170986348230.965464835015134138036.11418.223153693100.00081.0818920.1226413746.650.57231371217.690.588460.00017

3000514990032.4886361673166.544934342700.9664295449838378.46217.311515664400.00081.9913730.1325559750.870.56455618216.670.586540.00017

3100511740033.090051693465.943321337460.9666294249538703.63716.460652637100.00082.8391480.1423938455.110.55780652215.890.584460.00017

3200508650033.6686291712665.365207332480.9661633649139012.64415.665339611100.00083.6306160.1521160359.340.5519293215.320.58240.00018

1st row-O2 min

Fe=0

Fe=33%

Fe=50%

T, K

Keff

Keff

Wt%-Pu

T, K

M, kg

Mass of Pu, Fe=0

Pu in metallic phase, Fe~33%

T, K

M, kg

Mass of Pu, Fe~33%


T, K

M, kg

Mass of Pu, Fe~50%

Mass of U-metal, Fe~0

Mass of U-metal (kg), Fe~0

Mass of U metal, Fe~33%

Mass of U metal (kg), Fe~33%

Mass of U (kg), Fe~50%

Mass of Zr

T, K

M, kg

Mass of Zr, Fe=50%

Mass of Zr, Fe=33%

T, K

M, kg

Mass of Zr, Fe=33%

Mass of Zr, F=0

T, K

M, kg

Mass of Zr, F=0

Wt % U

T, K

Wt %

Weight % of U, Fe~50%


T, K

Wt %


Weight % of U, Fe=0%

T, K

Wt %

Weight % of Zr, Fe~50%

T, K

wt %


T, K

%

Weight % of Zr, Fe=0

T, K

%

Fe~50%

Fe~33%

Fe=0

Weight % of Pu

Fe~50%

Fe~33%

Fe=0

T, K

wt %

Weight % of Zr

Fe~50%

Fe~33%

Fe=0

T, K

%

Weight % of U

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-ZrO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt %-UO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt % -PuO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-Pu2O3

Fe=50%

Fe~33%

Fe=0

T, K

kg


Chart22

15.89742521.20998931.863549

16.156321.5787932.488636

16.40387821.93216133.09005

16.64071222.2707833.668629

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-Zr

Initial

UFeZrBO

65265520002165028610959

10985

11011

11037

11063

11089

11115

11141

11167

11193

11219

11245

11271

11297

11323

11349

11375

11401

11427

11453

11479

11504

11530

11556

11582

11608

11634

11660

11686

11712

11738

11764

11790

11816

11842

11868

11894

11920

11946

11972

11998

12024

12050

12076

12102

12128

12154

12180

12206

12232

12258

12284

12310

12336

12362

Results

ThermocalcMCNP


2900103874.5750.0551415.89742533.5041270.5433078238003.15718.2574240.01841048081.2126710.138589340.372905490.429770.0001

290099968.31652.01004415.70030331.7528190.5368336842610.91218.8763880.019429035080.576040.143357950.384784870.422180.0001

3000103533.350.21788116.156333.0840220.5417964638344.42917.3418840.026071612082.1149510.149698010.367395170.428220.0001

300099604.39652.19729115.9867331.2811950.5347831342974.83317.9994020.027551637081.4387910.154989260.379266370.420260.0001

3100103209.7450.37234316.40387832.683770.5400091838667.98916.4867720.036052962082.9538340.160720710.362620230.426220.0001

310099258.61452.37545816.26151630.8306130.5324126343320.61517.1776440.038151631082.2431880.166545350.374470450.417970.0001

320010290350.51866116.64071232.3026320.5379945238974.72915.6867650.048793925083.7343570.171612690.358471870.424250.0001

320098930.06452.54465116.5252430.400330.5297791343649.16416.4062940.051704463082.9937330.177978540.370289910.415980.0001

290077863.94633.38718221.20998944.7040240.6988060138013.78218.2468070.011584125081.1719210.133528580.436159250.494330.00012

290073956.41135.15033821.22471442.9291890.6957589242622.81718.8657040.012288871080.5372220.137360270.447424610.487840.00012

300077522.25933.53244621.5787944.1910240.6977396538355.46917.3326110.016404543082.0768220.144263280.429899680.49250.00012

300073592.01435.32200821.63928842.3445910.6941126742987.21417.9901260.017426364081.4026880.148541130.441217580.485840.00012

310077198.08333.67075821.93216143.7008330.6962482138679.64516.4789790.022684728082.9189490.154915390.424471360.490540.00012

310073245.53735.48594622.03787341.7842090.6919723643333.69117.1699590.024130688082.2104410.159650370.435818190.48270.00012

320076890.48733.80222622.2707843.2325970.6943977138987.24115.6806230.030701029083.7034780.165442180.419755590.488680.00012

320072916.0335.64223322.42116541.2471870.6894152743663.19916.4004240.032702455082.965120.170642760.431111160.4810.00012

290051841.614031.86354967.1709860.9654648338036.11418.2231530081.0818920.122641370.572313710.588460.00017

290047931.272032.75749766.2686850.9738176242647.95618.841760080.4510830.124411220.582744980.585040.00017

300051499.266032.48863666.5449340.9664295438378.46217.3115150081.9913730.132555970.564556180.586540.00017

300047566.095033.48626965.5392660.9744651743013.13317.9688520081.3213750.13460010.575172340.582180.00017

310051174.091033.0900565.9433210.9666294238703.63716.4606520082.8391480.142393840.557806520.584460.00017

310047218.464034.19042564.8353570.9742181243360.76417.1516530082.1350640.144723570.568559280.579940.00017

320050865.084033.66862965.3652070.9661633639012.64415.6653390083.6306160.152116030.55192930.58240.00018

320046887.346034.87077464.1560350.9731912543691.88216.3854620082.897020.154740990.562777740.577830.00017

1st row-O2 min

UFeZrO

652655200021650109591389151418782963Oxygene?


ThermocalcMCNP


290010387550.055145199515.8974251651333.504127348020.5433078256410331038003.15718.25742469380.018410487.00081.2126710.1385893452.670.37290549141.720.429770.0001

300010353350.2178815199216.15631672733.084022342530.5417964656138344.42917.34188466500.02607161210.00082.1149510.1496980157.400.36739517140.880.428220.0001

310010321050.3723435198916.4038781693032.68377337330.5400091855738667.98916.48677263750.03605296213.94082.9538340.1607207162.150.36262023140.220.426220.0001

320010290350.5186615198516.6407121712432.302632332400.5379945255438974.72915.68676561140.04879392519.02083.7343570.1716126966.890.35847187139.710.424250.0001


ThermocalcMCNP


29007786433.3871822599721.2099891651544.704024348080.698806015447732038013.78218.24680769360.0115841254.40081.1719210.133528580.43615925165.800.494330.00012

30007752233.5324462599521.578791672844.191024342580.6977396554138355.46917.33261166480.0164045436.29082.0768220.144263280.42989968164.890.49250.00012

31007719833.6707582599321.9321611693143.700833337360.6962482153738679.64516.47897963740.0226847288.77082.9189490.154915390.42447136164.180.490540.00012

32007689033.8022262599122.270781712443.232597332420.6943977153438987.24115.68062361130.03070102911.97083.7034780.165442180.41975559163.650.488680.00012


ThermocalcMCNP


2900518420031.8635491651967.170986348230.965464835015134138036.11418.223153693100.00081.0818920.1226413746.650.57231371217.690.588460.00017

3000514990032.4886361673166.544934342700.9664295449838378.46217.311515664400.00081.9913730.1325559750.870.56455618216.670.586540.00017

3100511740033.090051693465.943321337460.9666294249538703.63716.460652637100.00082.8391480.1423938455.110.55780652215.890.584460.00017

3200508650033.6686291712665.365207332480.9661633649139012.64415.665339611100.00083.6306160.1521160359.340.5519293215.320.58240.00018

1st row-O2 min

Fe=0

Fe=33%

Fe=50%

T, K

Keff

Keff

Wt%-Pu

T, K

M, kg

Mass of Pu, Fe=0


T, K

M, kg

Mass of Pu, Fe~33%


T, K

M, kg

Mass of Pu, Fe~50%






Mass of Zr

T, K

M, kg

Mass of Zr, Fe=50%

Mass of Zr, Fe=33%

T, K

M, kg

Mass of Zr, Fe=33%

Mass of Zr, F=0

T, K

M, kg

Mass of Zr, F=0

Wt % U

T, K

Wt %



T, K

Wt %



T, K

Wt %


T, K

wt %


T, K

%


T, K

%

Fe~50%

Fe~33%

Fe=0

Weight % of Pu

Fe~50%

Fe~33%

Fe=0

T, K

wt %

Weight % of Zr

Fe~50%

Fe~33%

Fe=0

T, K

%

Weight % of U

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-ZrO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt %-UO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt % -PuO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-Pu2O3

Fe=50%

Fe~33%

Fe=0

T, K

kg


Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-Zr

Chart14

0.543307820.698806010.96546483

0.541796460.697739650.96642954

0.540009180.696248210.96662942

0.537994520.694397710.96616336

Fe~50%

Fe~33%

Fe=0

Weight % of Pu

Initial

UFeZrBO

65265520002165028610959

10985

11011

11037

11063

11089

11115

11141

11167

11193

11219

11245

11271

11297

11323

11349

11375

11401

11427

11453

11479

11504

11530

11556

11582

11608

11634

11660

11686

11712

11738

11764

11790

11816

11842

11868

11894

11920

11946

11972

11998

12024

12050

12076

12102

12128

12154

12180

12206

12232

12258

12284

12310

12336

12362

Results

ThermocalcMCNP


2900103874.5750.0551415.89742533.5041270.5433078238003.15718.2574240.01841048081.2126710.138589340.372905490.429770.0001

290099968.31652.01004415.70030331.7528190.5368336842610.91218.8763880.019429035080.576040.143357950.384784870.422180.0001

3000103533.350.21788116.156333.0840220.5417964638344.42917.3418840.026071612082.1149510.149698010.367395170.428220.0001

300099604.39652.19729115.9867331.2811950.5347831342974.83317.9994020.027551637081.4387910.154989260.379266370.420260.0001

3100103209.7450.37234316.40387832.683770.5400091838667.98916.4867720.036052962082.9538340.160720710.362620230.426220.0001

310099258.61452.37545816.26151630.8306130.5324126343320.61517.1776440.038151631082.2431880.166545350.374470450.417970.0001

320010290350.51866116.64071232.3026320.5379945238974.72915.6867650.048793925083.7343570.171612690.358471870.424250.0001

320098930.06452.54465116.5252430.400330.5297791343649.16416.4062940.051704463082.9937330.177978540.370289910.415980.0001

290077863.94633.38718221.20998944.7040240.6988060138013.78218.2468070.011584125081.1719210.133528580.436159250.494330.00012

290073956.41135.15033821.22471442.9291890.6957589242622.81718.8657040.012288871080.5372220.137360270.447424610.487840.00012

300077522.25933.53244621.5787944.1910240.6977396538355.46917.3326110.016404543082.0768220.144263280.429899680.49250.00012

300073592.01435.32200821.63928842.3445910.6941126742987.21417.9901260.017426364081.4026880.148541130.441217580.485840.00012

310077198.08333.67075821.93216143.7008330.6962482138679.64516.4789790.022684728082.9189490.154915390.424471360.490540.00012

310073245.53735.48594622.03787341.7842090.6919723643333.69117.1699590.024130688082.2104410.159650370.435818190.48270.00012

320076890.48733.80222622.2707843.2325970.6943977138987.24115.6806230.030701029083.7034780.165442180.419755590.488680.00012

320072916.0335.64223322.42116541.2471870.6894152743663.19916.4004240.032702455082.965120.170642760.431111160.4810.00012

290051841.614031.86354967.1709860.9654648338036.11418.2231530081.0818920.122641370.572313710.588460.00017

290047931.272032.75749766.2686850.9738176242647.95618.841760080.4510830.124411220.582744980.585040.00017

300051499.266032.48863666.5449340.9664295438378.46217.3115150081.9913730.132555970.564556180.586540.00017

300047566.095033.48626965.5392660.9744651743013.13317.9688520081.3213750.13460010.575172340.582180.00017

310051174.091033.0900565.9433210.9666294238703.63716.4606520082.8391480.142393840.557806520.584460.00017

310047218.464034.19042564.8353570.9742181243360.76417.1516530082.1350640.144723570.568559280.579940.00017

320050865.084033.66862965.3652070.9661633639012.64415.6653390083.6306160.152116030.55192930.58240.00018

320046887.346034.87077464.1560350.9731912543691.88216.3854620082.897020.154740990.562777740.577830.00017

1st row-O2 min

UFeZrO

652655200021650109591389151418782963Oxygene?


ThermocalcMCNP


290010387550.055145199515.8974251651333.504127348020.5433078256438003.15718.25742469380.018410487.00081.2126710.1385893452.670.37290549141.720.429770.0001

300010353350.2178815199216.15631672733.084022342530.5417964656138344.42917.34188466500.02607161210.00082.1149510.1496980157.400.36739517140.880.428220.0001

310010321050.3723435198916.4038781693032.68377337330.5400091855738667.98916.48677263750.03605296213.94082.9538340.1607207162.150.36262023140.220.426220.0001

320010290350.5186615198516.6407121712432.302632332400.5379945255438974.72915.68676561140.04879392519.02083.7343570.1716126966.890.35847187139.710.424250.0001


ThermocalcMCNP


29007786433.3871822599721.2099891651544.704024348080.6988060154411587838013.78218.24680769360.0115841254.40081.1719210.133528580.43615925165.800.494330.00012

30007752233.5324462599521.578791672844.191024342580.6977396554138355.46917.33261166480.0164045436.29082.0768220.144263280.42989968164.890.49250.00012

31007719833.6707582599321.9321611693143.700833337360.6962482153738679.64516.47897963740.0226847288.77082.9189490.154915390.42447136164.180.490540.00012

32007689033.8022262599122.270781712443.232597332420.6943977153438987.24115.68062361130.03070102911.97083.7034780.165442180.41975559163.650.488680.00012


ThermocalcMCNP


2900518420031.8635491651967.170986348230.965464835018987838036.11418.223153693100.00081.0818920.1226413746.650.57231371217.690.588460.00017

3000514990032.4886361673166.544934342700.9664295449838378.46217.311515664400.00081.9913730.1325559750.870.56455618216.670.586540.00017

3100511740033.090051693465.943321337460.9666294249538703.63716.460652637100.00082.8391480.1423938455.110.55780652215.890.584460.00017

3200508650033.6686291712665.365207332480.9661633649139012.64415.665339611100.00083.6306160.1521160359.340.5519293215.320.58240.00018

1st row-O2 min

000

000

000

000

Fe=0

Fe=33%

Fe=50%

T, K

Keff

Keff

0

0

0

0

Wt%-Pu

T, K

M, kg

Mass of Pu, Fe=0

0

0

0

0


T, K

M, kg

Mass of Pu, Fe~33%

0

0

0

0


T, K

M, kg

Mass of Pu, Fe~50%

0

0

0

0



0

0

0

0



0

0

0

0


0

0

0

0

Mass of Zr

T, K

M, kg

Mass of Zr, Fe=50%

0

0

0

0

Mass of Zr, Fe=33%

T, K

M, kg

Mass of Zr, Fe=33%

0

0

0

0

Mass of Zr, F=0

T, K

M, kg

Mass of Zr, F=0

0

0

0

0

Wt % U

T, K

Wt %


0

0

0

0


T, K

Wt %


0

0

0

0


T, K

Wt %

0

0

0

0


T, K

wt %

0

0

0

0


T, K

%

0

0

0

0


T, K

%

000

000

000

000

Fe~50%

Fe~33%

Fe=0

Weight % of Pu

000

000

000

000

Fe~50%

Fe~33%

Fe=0

T, K

wt %

Weight % of Zr

000

000

000

000

Fe~50%

Fe~33%

Fe=0

T, K

%

Weight % of U

Chart16

33.50412744.70402467.170986

33.08402244.19102466.544934

32.6837743.70083365.943321

32.30263243.23259765.365207

Fe~50%

Fe~33%

Fe=0

T, K

%

Weight % of U

Initial

UFeZrBO

65265520002165028610959

10985

11011

11037

11063

11089

11115

11141

11167

11193

11219

11245

11271

11297

11323

11349

11375

11401

11427

11453

11479

11504

11530

11556

11582

11608

11634

11660

11686

11712

11738

11764

11790

11816

11842

11868

11894

11920

11946

11972

11998

12024

12050

12076

12102

12128

12154

12180

12206

12232

12258

12284

12310

12336

12362

Results

ThermocalcMCNP


2900103874.5750.0551415.89742533.5041270.5433078238003.15718.2574240.01841048081.2126710.138589340.372905490.429770.0001

290099968.31652.01004415.70030331.7528190.5368336842610.91218.8763880.019429035080.576040.143357950.384784870.422180.0001

3000103533.350.21788116.156333.0840220.5417964638344.42917.3418840.026071612082.1149510.149698010.367395170.428220.0001

300099604.39652.19729115.9867331.2811950.5347831342974.83317.9994020.027551637081.4387910.154989260.379266370.420260.0001

3100103209.7450.37234316.40387832.683770.5400091838667.98916.4867720.036052962082.9538340.160720710.362620230.426220.0001

310099258.61452.37545816.26151630.8306130.5324126343320.61517.1776440.038151631082.2431880.166545350.374470450.417970.0001

320010290350.51866116.64071232.3026320.5379945238974.72915.6867650.048793925083.7343570.171612690.358471870.424250.0001

320098930.06452.54465116.5252430.400330.5297791343649.16416.4062940.051704463082.9937330.177978540.370289910.415980.0001

290077863.94633.38718221.20998944.7040240.6988060138013.78218.2468070.011584125081.1719210.133528580.436159250.494330.00012

290073956.41135.15033821.22471442.9291890.6957589242622.81718.8657040.012288871080.5372220.137360270.447424610.487840.00012

300077522.25933.53244621.5787944.1910240.6977396538355.46917.3326110.016404543082.0768220.144263280.429899680.49250.00012

300073592.01435.32200821.63928842.3445910.6941126742987.21417.9901260.017426364081.4026880.148541130.441217580.485840.00012

310077198.08333.67075821.93216143.7008330.6962482138679.64516.4789790.022684728082.9189490.154915390.424471360.490540.00012

310073245.53735.48594622.03787341.7842090.6919723643333.69117.1699590.024130688082.2104410.159650370.435818190.48270.00012

320076890.48733.80222622.2707843.2325970.6943977138987.24115.6806230.030701029083.7034780.165442180.419755590.488680.00012

320072916.0335.64223322.42116541.2471870.6894152743663.19916.4004240.032702455082.965120.170642760.431111160.4810.00012

290051841.614031.86354967.1709860.9654648338036.11418.2231530081.0818920.122641370.572313710.588460.00017

290047931.272032.75749766.2686850.9738176242647.95618.841760080.4510830.124411220.582744980.585040.00017

300051499.266032.48863666.5449340.9664295438378.46217.3115150081.9913730.132555970.564556180.586540.00017

300047566.095033.48626965.5392660.9744651743013.13317.9688520081.3213750.13460010.575172340.582180.00017

310051174.091033.0900565.9433210.9666294238703.63716.4606520082.8391480.142393840.557806520.584460.00017

310047218.464034.19042564.8353570.9742181243360.76417.1516530082.1350640.144723570.568559280.579940.00017

320050865.084033.66862965.3652070.9661633639012.64415.6653390083.6306160.152116030.55192930.58240.00018

320046887.346034.87077464.1560350.9731912543691.88216.3854620082.897020.154740990.562777740.577830.00017

1st row-O2 min

UFeZrO

652655200021650109591389151418782963Oxygene?


ThermocalcMCNP


290010387550.055145199515.8974251651333.504127348020.5433078256438003.15718.25742469380.018410487.00081.2126710.1385893452.670.37290549141.720.429770.0001

300010353350.2178815199216.15631672733.084022342530.5417964656138344.42917.34188466500.02607161210.00082.1149510.1496980157.400.36739517140.880.428220.0001

310010321050.3723435198916.4038781693032.68377337330.5400091855738667.98916.48677263750.03605296213.94082.9538340.1607207162.150.36262023140.220.426220.0001

320010290350.5186615198516.6407121712432.302632332400.5379945255438974.72915.68676561140.04879392519.02083.7343570.1716126966.890.35847187139.710.424250.0001


ThermocalcMCNP


29007786433.3871822599721.2099891651544.704024348080.6988060154411587838013.78218.24680769360.0115841254.40081.1719210.133528580.43615925165.800.494330.00012

30007752233.5324462599521.578791672844.191024342580.6977396554138355.46917.33261166480.0164045436.29082.0768220.144263280.42989968164.890.49250.00012

31007719833.6707582599321.9321611693143.700833337360.6962482153738679.64516.47897963740.0226847288.77082.9189490.154915390.42447136164.180.490540.00012

32007689033.8022262599122.270781712443.232597332420.6943977153438987.24115.68062361130.03070102911.97083.7034780.165442180.41975559163.650.488680.00012


ThermocalcMCNP


2900518420031.8635491651967.170986348230.965464835018987838036.11418.223153693100.00081.0818920.1226413746.650.57231371217.690.588460.00017

3000514990032.4886361673166.544934342700.9664295449838378.46217.311515664400.00081.9913730.1325559750.870.56455618216.670.586540.00017

3100511740033.090051693465.943321337460.9666294249538703.63716.460652637100.00082.8391480.1423938455.110.55780652215.890.584460.00017

3200508650033.6686291712665.365207332480.9661633649139012.64415.665339611100.00083.6306160.1521160359.340.5519293215.320.58240.00018

1st row-O2 min

000

000

000

000

Fe=0

Fe=33%

Fe=50%

T, K

Keff

Keff

0

0

0

0

Wt%-Pu

T, K

M, kg

Mass of Pu, Fe=0

0

0

0

0


T, K

M, kg

Mass of Pu, Fe~33%

0

0

0

0


T, K

M, kg

Mass of Pu, Fe~50%

0

0

0

0



0

0

0

0



0

0

0

0


0

0

0

0

Mass of Zr

T, K

M, kg

Mass of Zr, Fe=50%

0

0

0

0

Mass of Zr, Fe=33%

T, K

M, kg

Mass of Zr, Fe=33%

0

0

0

0

Mass of Zr, F=0

T, K

M, kg

Mass of Zr, F=0

0

0

0

0

Wt % U

T, K

Wt %


0

0

0

0


T, K

Wt %


0

0

0

0


T, K

Wt %

0

0

0

0


T, K

wt %

0

0

0

0


T, K

%

0

0

0

0


T, K

%

000

000

000

000

Fe~50%

Fe~33%

Fe=0

Weight % of Pu

000

000

000

000

Fe~50%

Fe~33%

Fe=0

T, K

wt %

Weight % of Zr

000

000

000

000

Fe~50%

Fe~33%

Fe=0

T, K

%

Weight % of U

Results from Thermocalc calculations weight percents of metals in the thermodynamic equilibrium ionic/oxide layer after oxidation and minimization of Gibbs energy *

Chart17

18.25742418.24680718.223153

17.34188417.33261117.311515

16.48677216.47897916.460652

15.68676515.68062315.665339

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-ZrO2

Initial

UFeZrBO

65265520002165028610959

10985

11011

11037

11063

11089

11115

11141

11167

11193

11219

11245

11271

11297

11323

11349

11375

11401

11427

11453

11479

11504

11530

11556

11582

11608

11634

11660

11686

11712

11738

11764

11790

11816

11842

11868

11894

11920

11946

11972

11998

12024

12050

12076

12102

12128

12154

12180

12206

12232

12258

12284

12310

12336

12362

Results

ThermocalcMCNP


2900103874.5750.0551415.89742533.5041270.5433078238003.15718.2574240.01841048081.2126710.138589340.372905490.429770.0001

290099968.31652.01004415.70030331.7528190.5368336842610.91218.8763880.019429035080.576040.143357950.384784870.422180.0001

3000103533.350.21788116.156333.0840220.5417964638344.42917.3418840.026071612082.1149510.149698010.367395170.428220.0001

300099604.39652.19729115.9867331.2811950.5347831342974.83317.9994020.027551637081.4387910.154989260.379266370.420260.0001

3100103209.7450.37234316.40387832.683770.5400091838667.98916.4867720.036052962082.9538340.160720710.362620230.426220.0001

310099258.61452.37545816.26151630.8306130.5324126343320.61517.1776440.038151631082.2431880.166545350.374470450.417970.0001

320010290350.51866116.64071232.3026320.5379945238974.72915.6867650.048793925083.7343570.171612690.358471870.424250.0001

320098930.06452.54465116.5252430.400330.5297791343649.16416.4062940.051704463082.9937330.177978540.370289910.415980.0001

290077863.94633.38718221.20998944.7040240.6988060138013.78218.2468070.011584125081.1719210.133528580.436159250.494330.00012

290073956.41135.15033821.22471442.9291890.6957589242622.81718.8657040.012288871080.5372220.137360270.447424610.487840.00012

300077522.25933.53244621.5787944.1910240.6977396538355.46917.3326110.016404543082.0768220.144263280.429899680.49250.00012

300073592.01435.32200821.63928842.3445910.6941126742987.21417.9901260.017426364081.4026880.148541130.441217580.485840.00012

310077198.08333.67075821.93216143.7008330.6962482138679.64516.4789790.022684728082.9189490.154915390.424471360.490540.00012

310073245.53735.48594622.03787341.7842090.6919723643333.69117.1699590.024130688082.2104410.159650370.435818190.48270.00012

320076890.48733.80222622.2707843.2325970.6943977138987.24115.6806230.030701029083.7034780.165442180.419755590.488680.00012

320072916.0335.64223322.42116541.2471870.6894152743663.19916.4004240.032702455082.965120.170642760.431111160.4810.00012

290051841.614031.86354967.1709860.9654648338036.11418.2231530081.0818920.122641370.572313710.588460.00017

290047931.272032.75749766.2686850.9738176242647.95618.841760080.4510830.124411220.582744980.585040.00017

300051499.266032.48863666.5449340.9664295438378.46217.3115150081.9913730.132555970.564556180.586540.00017

300047566.095033.48626965.5392660.9744651743013.13317.9688520081.3213750.13460010.575172340.582180.00017

310051174.091033.0900565.9433210.9666294238703.63716.4606520082.8391480.142393840.557806520.584460.00017

310047218.464034.19042564.8353570.9742181243360.76417.1516530082.1350640.144723570.568559280.579940.00017

320050865.084033.66862965.3652070.9661633639012.64415.6653390083.6306160.152116030.55192930.58240.00018

320046887.346034.87077464.1560350.9731912543691.88216.3854620082.897020.154740990.562777740.577830.00017

1st row-O2 min

UFeZrO

652655200021650109591389151418782963Oxygene?


ThermocalcMCNP


290010387550.055145199515.8974251651333.504127348020.5433078256438003.15718.25742469380.018410487.00081.2126710.1385893452.670.37290549141.720.429770.0001

300010353350.2178815199216.15631672733.084022342530.5417964656138344.42917.34188466500.02607161210.00082.1149510.1496980157.400.36739517140.880.428220.0001

310010321050.3723435198916.4038781693032.68377337330.5400091855738667.98916.48677263750.03605296213.94082.9538340.1607207162.150.36262023140.220.426220.0001

320010290350.5186615198516.6407121712432.302632332400.5379945255438974.72915.68676561140.04879392519.02083.7343570.1716126966.890.35847187139.710.424250.0001


ThermocalcMCNP


29007786433.3871822599721.2099891651544.704024348080.6988060154411587838013.78218.24680769360.0115841254.40081.1719210.133528580.43615925165.800.494330.00012

30007752233.5324462599521.578791672844.191024342580.6977396554138355.46917.33261166480.0164045436.29082.0768220.144263280.42989968164.890.49250.00012

31007719833.6707582599321.9321611693143.700833337360.6962482153738679.64516.47897963740.0226847288.77082.9189490.154915390.42447136164.180.490540.00012

32007689033.8022262599122.270781712443.232597332420.6943977153438987.24115.68062361130.03070102911.97083.7034780.165442180.41975559163.650.488680.00012


ThermocalcMCNP


2900518420031.8635491651967.170986348230.965464835018987838036.11418.223153693100.00081.0818920.1226413746.650.57231371217.690.588460.00017

3000514990032.4886361673166.544934342700.9664295449838378.46217.311515664400.00081.9913730.1325559750.870.56455618216.670.586540.00017

3100511740033.090051693465.943321337460.9666294249538703.63716.460652637100.00082.8391480.1423938455.110.55780652215.890.584460.00017

3200508650033.6686291712665.365207332480.9661633649139012.64415.665339611100.00083.6306160.1521160359.340.5519293215.320.58240.00018

1st row-O2 min

Fe=0

Fe=33%

Fe=50%

T, K

Keff

Keff

Wt%-Pu

T, K

M, kg

Mass of Pu, Fe=0


T, K

M, kg

Mass of Pu, Fe~33%


T, K

M, kg

Mass of Pu, Fe~50%






Mass of Zr

T, K

M, kg

Mass of Zr, Fe=50%

Mass of Zr, Fe=33%

T, K

M, kg

Mass of Zr, Fe=33%

Mass of Zr, F=0

T, K

M, kg

Mass of Zr, F=0

Wt % U

T, K

Wt %



T, K

Wt %



T, K

Wt %


T, K

wt %


T, K

%


T, K

%

Fe~50%

Fe~33%

Fe=0

Weight % of Pu

Fe~50%

Fe~33%

Fe=0

T, K

wt %

Weight % of Zr

Fe~50%

Fe~33%

Fe=0

T, K

%

Weight % of U

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-ZrO2

Chart19

0.138589340.133528580.12264137

0.149698010.144263280.13255597

0.160720710.154915390.14239384

0.171612690.165442180.15211603

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt % -PuO2

Initial

UFeZrBO

65265520002165028610959

10985

11011

11037

11063

11089

11115

11141

11167

11193

11219

11245

11271

11297

11323

11349

11375

11401

11427

11453

11479

11504

11530

11556

11582

11608

11634

11660

11686

11712

11738

11764

11790

11816

11842

11868

11894

11920

11946

11972

11998

12024

12050

12076

12102

12128

12154

12180

12206

12232

12258

12284

12310

12336

12362

Results

ThermocalcMCNP


2900103874.5750.0551415.89742533.5041270.5433078238003.15718.2574240.01841048081.2126710.138589340.372905490.429770.0001

290099968.31652.01004415.70030331.7528190.5368336842610.91218.8763880.019429035080.576040.143357950.384784870.422180.0001

3000103533.350.21788116.156333.0840220.5417964638344.42917.3418840.026071612082.1149510.149698010.367395170.428220.0001

300099604.39652.19729115.9867331.2811950.5347831342974.83317.9994020.027551637081.4387910.154989260.379266370.420260.0001

3100103209.7450.37234316.40387832.683770.5400091838667.98916.4867720.036052962082.9538340.160720710.362620230.426220.0001

310099258.61452.37545816.26151630.8306130.5324126343320.61517.1776440.038151631082.2431880.166545350.374470450.417970.0001

320010290350.51866116.64071232.3026320.5379945238974.72915.6867650.048793925083.7343570.171612690.358471870.424250.0001

320098930.06452.54465116.5252430.400330.5297791343649.16416.4062940.051704463082.9937330.177978540.370289910.415980.0001

290077863.94633.38718221.20998944.7040240.6988060138013.78218.2468070.011584125081.1719210.133528580.436159250.494330.00012

290073956.41135.15033821.22471442.9291890.6957589242622.81718.8657040.012288871080.5372220.137360270.447424610.487840.00012

300077522.25933.53244621.5787944.1910240.6977396538355.46917.3326110.016404543082.0768220.144263280.429899680.49250.00012

300073592.01435.32200821.63928842.3445910.6941126742987.21417.9901260.017426364081.4026880.148541130.441217580.485840.00012

310077198.08333.67075821.93216143.7008330.6962482138679.64516.4789790.022684728082.9189490.154915390.424471360.490540.00012

310073245.53735.48594622.03787341.7842090.6919723643333.69117.1699590.024130688082.2104410.159650370.435818190.48270.00012

320076890.48733.80222622.2707843.2325970.6943977138987.24115.6806230.030701029083.7034780.165442180.419755590.488680.00012

320072916.0335.64223322.42116541.2471870.6894152743663.19916.4004240.032702455082.965120.170642760.431111160.4810.00012

290051841.614031.86354967.1709860.9654648338036.11418.2231530081.0818920.122641370.572313710.588460.00017

290047931.272032.75749766.2686850.9738176242647.95618.841760080.4510830.124411220.582744980.585040.00017

300051499.266032.48863666.5449340.9664295438378.46217.3115150081.9913730.132555970.564556180.586540.00017

300047566.095033.48626965.5392660.9744651743013.13317.9688520081.3213750.13460010.575172340.582180.00017

310051174.091033.0900565.9433210.9666294238703.63716.4606520082.8391480.142393840.557806520.584460.00017

310047218.464034.19042564.8353570.9742181243360.76417.1516530082.1350640.144723570.568559280.579940.00017

320050865.084033.66862965.3652070.9661633639012.64415.6653390083.6306160.152116030.55192930.58240.00018

320046887.346034.87077464.1560350.9731912543691.88216.3854620082.897020.154740990.562777740.577830.00017

1st row-O2 min

UFeZrO

652655200021650109591389151418782963Oxygene?


ThermocalcMCNP


290010387550.055145199515.8974251651333.504127348020.5433078256438003.15718.25742469380.018410487.00081.2126710.1385893452.670.37290549141.720.429770.0001

300010353350.2178815199216.15631672733.084022342530.5417964656138344.42917.34188466500.02607161210.00082.1149510.1496980157.400.36739517140.880.428220.0001

310010321050.3723435198916.4038781693032.68377337330.5400091855738667.98916.48677263750.03605296213.94082.9538340.1607207162.150.36262023140.220.426220.0001

320010290350.5186615198516.6407121712432.302632332400.5379945255438974.72915.68676561140.04879392519.02083.7343570.1716126966.890.35847187139.710.424250.0001


ThermocalcMCNP


29007786433.3871822599721.2099891651544.704024348080.6988060154411587838013.78218.24680769360.0115841254.40081.1719210.133528580.43615925165.800.494330.00012

30007752233.5324462599521.578791672844.191024342580.6977396554138355.46917.33261166480.0164045436.29082.0768220.144263280.42989968164.890.49250.00012

31007719833.6707582599321.9321611693143.700833337360.6962482153738679.64516.47897963740.0226847288.77082.9189490.154915390.42447136164.180.490540.00012

32007689033.8022262599122.270781712443.232597332420.6943977153438987.24115.68062361130.03070102911.97083.7034780.165442180.41975559163.650.488680.00012


ThermocalcMCNP


2900518420031.8635491651967.170986348230.965464835018987838036.11418.223153693100.00081.0818920.1226413746.650.57231371217.690.588460.00017

3000514990032.4886361673166.544934342700.9664295449838378.46217.311515664400.00081.9913730.1325559750.870.56455618216.670.586540.00017

3100511740033.090051693465.943321337460.9666294249538703.63716.460652637100.00082.8391480.1423938455.110.55780652215.890.584460.00017

3200508650033.6686291712665.365207332480.9661633649139012.64415.665339611100.00083.6306160.1521160359.340.5519293215.320.58240.00018

1st row-O2 min

Fe=0

Fe=33%

Fe=50%

T, K

Keff

Keff

Wt%-Pu

T, K

M, kg

Mass of Pu, Fe=0


T, K

M, kg

Mass of Pu, Fe~33%


T, K

M, kg

Mass of Pu, Fe~50%






Mass of Zr

T, K

M, kg

Mass of Zr, Fe=50%

Mass of Zr, Fe=33%

T, K

M, kg

Mass of Zr, Fe=33%

Mass of Zr, F=0

T, K

M, kg

Mass of Zr, F=0

Wt % U

T, K

Wt %



T, K

Wt %



T, K

Wt %


T, K

wt %


T, K

%


T, K

%

Fe~50%

Fe~33%

Fe=0

Weight % of Pu

Fe~50%

Fe~33%

Fe=0

T, K

wt %

Weight % of Zr

Fe~50%

Fe~33%

Fe=0

T, K

%

Weight % of U

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-ZrO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt %-UO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt % -PuO2

Chart18

81.21267181.17192181.081892

82.11495182.07682281.991373

82.95383482.91894982.839148

83.73435783.70347883.630616

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt %-UO2

Initial

UFeZrBO

65265520002165028610959

10985

11011

11037

11063

11089

11115

11141

11167

11193

11219

11245

11271

11297

11323

11349

11375

11401

11427

11453

11479

11504

11530

11556

11582

11608

11634

11660

11686

11712

11738

11764

11790

11816

11842

11868

11894

11920

11946

11972

11998

12024

12050

12076

12102

12128

12154

12180

12206

12232

12258

12284

12310

12336

12362

Results

ThermocalcMCNP


2900103874.5750.0551415.89742533.5041270.5433078238003.15718.2574240.01841048081.2126710.138589340.372905490.429770.0001

290099968.31652.01004415.70030331.7528190.5368336842610.91218.8763880.019429035080.576040.143357950.384784870.422180.0001

3000103533.350.21788116.156333.0840220.5417964638344.42917.3418840.026071612082.1149510.149698010.367395170.428220.0001

300099604.39652.19729115.9867331.2811950.5347831342974.83317.9994020.027551637081.4387910.154989260.379266370.420260.0001

3100103209.7450.37234316.40387832.683770.5400091838667.98916.4867720.036052962082.9538340.160720710.362620230.426220.0001

310099258.61452.37545816.26151630.8306130.5324126343320.61517.1776440.038151631082.2431880.166545350.374470450.417970.0001

320010290350.51866116.64071232.3026320.5379945238974.72915.6867650.048793925083.7343570.171612690.358471870.424250.0001

320098930.06452.54465116.5252430.400330.5297791343649.16416.4062940.051704463082.9937330.177978540.370289910.415980.0001

290077863.94633.38718221.20998944.7040240.6988060138013.78218.2468070.011584125081.1719210.133528580.436159250.494330.00012

290073956.41135.15033821.22471442.9291890.6957589242622.81718.8657040.012288871080.5372220.137360270.447424610.487840.00012

300077522.25933.53244621.5787944.1910240.6977396538355.46917.3326110.016404543082.0768220.144263280.429899680.49250.00012

300073592.01435.32200821.63928842.3445910.6941126742987.21417.9901260.017426364081.4026880.148541130.441217580.485840.00012

310077198.08333.67075821.93216143.7008330.6962482138679.64516.4789790.022684728082.9189490.154915390.424471360.490540.00012

310073245.53735.48594622.03787341.7842090.6919723643333.69117.1699590.024130688082.2104410.159650370.435818190.48270.00012

320076890.48733.80222622.2707843.2325970.6943977138987.24115.6806230.030701029083.7034780.165442180.419755590.488680.00012

320072916.0335.64223322.42116541.2471870.6894152743663.19916.4004240.032702455082.965120.170642760.431111160.4810.00012

290051841.614031.86354967.1709860.9654648338036.11418.2231530081.0818920.122641370.572313710.588460.00017

290047931.272032.75749766.2686850.9738176242647.95618.841760080.4510830.124411220.582744980.585040.00017

300051499.266032.48863666.5449340.9664295438378.46217.3115150081.9913730.132555970.564556180.586540.00017

300047566.095033.48626965.5392660.9744651743013.13317.9688520081.3213750.13460010.575172340.582180.00017

310051174.091033.0900565.9433210.9666294238703.63716.4606520082.8391480.142393840.557806520.584460.00017

310047218.464034.19042564.8353570.9742181243360.76417.1516530082.1350640.144723570.568559280.579940.00017

320050865.084033.66862965.3652070.9661633639012.64415.6653390083.6306160.152116030.55192930.58240.00018

320046887.346034.87077464.1560350.9731912543691.88216.3854620082.897020.154740990.562777740.577830.00017

1st row-O2 min

UFeZrO

652655200021650109591389151418782963Oxygene?


ThermocalcMCNP


290010387550.055145199515.8974251651333.504127348020.5433078256438003.15718.25742469380.018410487.00081.2126710.1385893452.670.37290549141.720.429770.0001

300010353350.2178815199216.15631672733.084022342530.5417964656138344.42917.34188466500.02607161210.00082.1149510.1496980157.400.36739517140.880.428220.0001

310010321050.3723435198916.4038781693032.68377337330.5400091855738667.98916.48677263750.03605296213.94082.9538340.1607207162.150.36262023140.220.426220.0001

320010290350.5186615198516.6407121712432.302632332400.5379945255438974.72915.68676561140.04879392519.02083.7343570.1716126966.890.35847187139.710.424250.0001


ThermocalcMCNP


29007786433.3871822599721.2099891651544.704024348080.6988060154411587838013.78218.24680769360.0115841254.40081.1719210.133528580.43615925165.800.494330.00012

30007752233.5324462599521.578791672844.191024342580.6977396554138355.46917.33261166480.0164045436.29082.0768220.144263280.42989968164.890.49250.00012

31007719833.6707582599321.9321611693143.700833337360.6962482153738679.64516.47897963740.0226847288.77082.9189490.154915390.42447136164.180.490540.00012

32007689033.8022262599122.270781712443.232597332420.6943977153438987.24115.68062361130.03070102911.97083.7034780.165442180.41975559163.650.488680.00012


ThermocalcMCNP


2900518420031.8635491651967.170986348230.965464835018987838036.11418.223153693100.00081.0818920.1226413746.650.57231371217.690.588460.00017

3000514990032.4886361673166.544934342700.9664295449838378.46217.311515664400.00081.9913730.1325559750.870.56455618216.670.586540.00017

3100511740033.090051693465.943321337460.9666294249538703.63716.460652637100.00082.8391480.1423938455.110.55780652215.890.584460.00017

3200508650033.6686291712665.365207332480.9661633649139012.64415.665339611100.00083.6306160.1521160359.340.5519293215.320.58240.00018

1st row-O2 min

000

000

000

000

Fe=0

Fe=33%

Fe=50%

T, K

Keff

Keff

0

0

0

0

Wt%-Pu

T, K

M, kg

Mass of Pu, Fe=0

0

0

0

0


T, K

M, kg

Mass of Pu, Fe~33%

0

0

0

0


T, K

M, kg

Mass of Pu, Fe~50%

0

0

0

0



0

0

0

0



0

0

0

0


0

0

0

0

Mass of Zr

T, K

M, kg

Mass of Zr, Fe=50%

0

0

0

0

Mass of Zr, Fe=33%

T, K

M, kg

Mass of Zr, Fe=33%

0

0

0

0

Mass of Zr, F=0

T, K

M, kg

Mass of Zr, F=0

0

0

0

0

Wt % U

T, K

Wt %


0

0

0

0


T, K

Wt %


0

0

0

0


T, K

Wt %

0

0

0

0


T, K

wt %

0

0

0

0


T, K

%

0

0

0

0


T, K

%

000

000

000

000

Fe~50%

Fe~33%

Fe=0

Weight % of Pu

000

000

000

000

Fe~50%

Fe~33%

Fe=0

T, K

wt %

Weight % of Zr

000

000

000

000

Fe~50%

Fe~33%

Fe=0

T, K

%

Weight % of U

000

000

000

000

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-ZrO2

000

000

000

000

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt %-UO2

Chart20

0.372905490.436159250.57231371

0.367395170.429899680.56455618

0.362620230.424471360.55780652

0.358471870.419755590.5519293

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-Pu2O3

Initial

UFeZrBO

65265520002165028610959

10985

11011

11037

11063

11089

11115

11141

11167

11193

11219

11245

11271

11297

11323

11349

11375

11401

11427

11453

11479

11504

11530

11556

11582

11608

11634

11660

11686

11712

11738

11764

11790

11816

11842

11868

11894

11920

11946

11972

11998

12024

12050

12076

12102

12128

12154

12180

12206

12232

12258

12284

12310

12336

12362

Results

ThermocalcMCNP


2900103874.5750.0551415.89742533.5041270.5433078238003.15718.2574240.01841048081.2126710.138589340.372905490.429770.0001

290099968.31652.01004415.70030331.7528190.5368336842610.91218.8763880.019429035080.576040.143357950.384784870.422180.0001

3000103533.350.21788116.156333.0840220.5417964638344.42917.3418840.026071612082.1149510.149698010.367395170.428220.0001

300099604.39652.19729115.9867331.2811950.5347831342974.83317.9994020.027551637081.4387910.154989260.379266370.420260.0001

3100103209.7450.37234316.40387832.683770.5400091838667.98916.4867720.036052962082.9538340.160720710.362620230.426220.0001

310099258.61452.37545816.26151630.8306130.5324126343320.61517.1776440.038151631082.2431880.166545350.374470450.417970.0001

320010290350.51866116.64071232.3026320.5379945238974.72915.6867650.048793925083.7343570.171612690.358471870.424250.0001

320098930.06452.54465116.5252430.400330.5297791343649.16416.4062940.051704463082.9937330.177978540.370289910.415980.0001

290077863.94633.38718221.20998944.7040240.6988060138013.78218.2468070.011584125081.1719210.133528580.436159250.494330.00012

290073956.41135.15033821.22471442.9291890.6957589242622.81718.8657040.012288871080.5372220.137360270.447424610.487840.00012

300077522.25933.53244621.5787944.1910240.6977396538355.46917.3326110.016404543082.0768220.144263280.429899680.49250.00012

300073592.01435.32200821.63928842.3445910.6941126742987.21417.9901260.017426364081.4026880.148541130.441217580.485840.00012

310077198.08333.67075821.93216143.7008330.6962482138679.64516.4789790.022684728082.9189490.154915390.424471360.490540.00012

310073245.53735.48594622.03787341.7842090.6919723643333.69117.1699590.024130688082.2104410.159650370.435818190.48270.00012

320076890.48733.80222622.2707843.2325970.6943977138987.24115.6806230.030701029083.7034780.165442180.419755590.488680.00012

320072916.0335.64223322.42116541.2471870.6894152743663.19916.4004240.032702455082.965120.170642760.431111160.4810.00012

290051841.614031.86354967.1709860.9654648338036.11418.2231530081.0818920.122641370.572313710.588460.00017

290047931.272032.75749766.2686850.9738176242647.95618.841760080.4510830.124411220.582744980.585040.00017

300051499.266032.48863666.5449340.9664295438378.46217.3115150081.9913730.132555970.564556180.586540.00017

300047566.095033.48626965.5392660.9744651743013.13317.9688520081.3213750.13460010.575172340.582180.00017

310051174.091033.0900565.9433210.9666294238703.63716.4606520082.8391480.142393840.557806520.584460.00017

310047218.464034.19042564.8353570.9742181243360.76417.1516530082.1350640.144723570.568559280.579940.00017

320050865.084033.66862965.3652070.9661633639012.64415.6653390083.6306160.152116030.55192930.58240.00018

320046887.346034.87077464.1560350.9731912543691.88216.3854620082.897020.154740990.562777740.577830.00017

1st row-O2 min

UFeZrO

652655200021650109591389151418782963Oxygene?


ThermocalcMCNP


290010387550.055145199515.8974251651333.504127348020.5433078256438003.15718.25742469380.018410487.00081.2126710.1385893452.670.37290549141.720.429770.0001

300010353350.2178815199216.15631672733.084022342530.5417964656138344.42917.34188466500.02607161210.00082.1149510.1496980157.400.36739517140.880.428220.0001

310010321050.3723435198916.4038781693032.68377337330.5400091855738667.98916.48677263750.03605296213.94082.9538340.1607207162.150.36262023140.220.426220.0001

320010290350.5186615198516.6407121712432.302632332400.5379945255438974.72915.68676561140.04879392519.02083.7343570.1716126966.890.35847187139.710.424250.0001


ThermocalcMCNP


29007786433.3871822599721.2099891651544.704024348080.6988060154411587838013.78218.24680769360.0115841254.40081.1719210.133528580.43615925165.800.494330.00012

30007752233.5324462599521.578791672844.191024342580.6977396554138355.46917.33261166480.0164045436.29082.0768220.144263280.42989968164.890.49250.00012

31007719833.6707582599321.9321611693143.700833337360.6962482153738679.64516.47897963740.0226847288.77082.9189490.154915390.42447136164.180.490540.00012

32007689033.8022262599122.270781712443.232597332420.6943977153438987.24115.68062361130.03070102911.97083.7034780.165442180.41975559163.650.488680.00012


ThermocalcMCNP


2900518420031.8635491651967.170986348230.965464835018987838036.11418.223153693100.00081.0818920.1226413746.650.57231371217.690.588460.00017

3000514990032.4886361673166.544934342700.9664295449838378.46217.311515664400.00081.9913730.1325559750.870.56455618216.670.586540.00017

3100511740033.090051693465.943321337460.9666294249538703.63716.460652637100.00082.8391480.1423938455.110.55780652215.890.584460.00017

3200508650033.6686291712665.365207332480.9661633649139012.64415.665339611100.00083.6306160.1521160359.340.5519293215.320.58240.00018

1st row-O2 min

Fe=0

Fe=33%

Fe=50%

T, K

Keff

Keff

Wt%-Pu

T, K

M, kg

Mass of Pu, Fe=0


T, K

M, kg

Mass of Pu, Fe~33%


T, K

M, kg

Mass of Pu, Fe~50%






Mass of Zr

T, K

M, kg

Mass of Zr, Fe=50%

Mass of Zr, Fe=33%

T, K

M, kg

Mass of Zr, Fe=33%

Mass of Zr, F=0

T, K

M, kg

Mass of Zr, F=0

Wt % U

T, K

Wt %



T, K

Wt %



T, K

Wt %


T, K

wt %


T, K

%


T, K

%

Fe~50%

Fe~33%

Fe=0

Weight % of Pu

Fe~50%

Fe~33%

Fe=0

T, K

wt %

Weight % of Zr

Fe~50%

Fe~33%

Fe=0

T, K

%

Weight % of U

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-ZrO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt %-UO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt % -PuO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-Pu2O3

Chart23

38003.15738013.78238036.114

38344.42938355.46938378.462

38667.98938679.64538703.637

38974.72938987.24139012.644

Fe~50%

Fe~33%

Fe=0

T, K

kg

Mass of ionic/oxide layer

Initial

UFeZrBO

65265520002165028610959

10985

11011

11037

11063

11089

11115

11141

11167

11193

11219

11245

11271

11297

11323

11349

11375

11401

11427

11453

11479

11504

11530

11556

11582

11608

11634

11660

11686

11712

11738

11764

11790

11816

11842

11868

11894

11920

11946

11972

11998

12024

12050

12076

12102

12128

12154

12180

12206

12232

12258

12284

12310

12336

12362

Results

ThermocalcMCNP


2900103874.5750.0551415.89742533.5041270.5433078238003.15718.2574240.01841048081.2126710.138589340.372905490.429770.0001

290099968.31652.01004415.70030331.7528190.5368336842610.91218.8763880.019429035080.576040.143357950.384784870.422180.0001

3000103533.350.21788116.156333.0840220.5417964638344.42917.3418840.026071612082.1149510.149698010.367395170.428220.0001

300099604.39652.19729115.9867331.2811950.5347831342974.83317.9994020.027551637081.4387910.154989260.379266370.420260.0001

3100103209.7450.37234316.40387832.683770.5400091838667.98916.4867720.036052962082.9538340.160720710.362620230.426220.0001

310099258.61452.37545816.26151630.8306130.5324126343320.61517.1776440.038151631082.2431880.166545350.374470450.417970.0001

320010290350.51866116.64071232.3026320.5379945238974.72915.6867650.048793925083.7343570.171612690.358471870.424250.0001

320098930.06452.54465116.5252430.400330.5297791343649.16416.4062940.051704463082.9937330.177978540.370289910.415980.0001

290077863.94633.38718221.20998944.7040240.6988060138013.78218.2468070.011584125081.1719210.133528580.436159250.494330.00012

290073956.41135.15033821.22471442.9291890.6957589242622.81718.8657040.012288871080.5372220.137360270.447424610.487840.00012

300077522.25933.53244621.5787944.1910240.6977396538355.46917.3326110.016404543082.0768220.144263280.429899680.49250.00012

300073592.01435.32200821.63928842.3445910.6941126742987.21417.9901260.017426364081.4026880.148541130.441217580.485840.00012

310077198.08333.67075821.93216143.7008330.6962482138679.64516.4789790.022684728082.9189490.154915390.424471360.490540.00012

310073245.53735.48594622.03787341.7842090.6919723643333.69117.1699590.024130688082.2104410.159650370.435818190.48270.00012

320076890.48733.80222622.2707843.2325970.6943977138987.24115.6806230.030701029083.7034780.165442180.419755590.488680.00012

320072916.0335.64223322.42116541.2471870.6894152743663.19916.4004240.032702455082.965120.170642760.431111160.4810.00012

290051841.614031.86354967.1709860.9654648338036.11418.2231530081.0818920.122641370.572313710.588460.00017

290047931.272032.75749766.2686850.9738176242647.95618.841760080.4510830.124411220.582744980.585040.00017

300051499.266032.48863666.5449340.9664295438378.46217.3115150081.9913730.132555970.564556180.586540.00017

300047566.095033.48626965.5392660.9744651743013.13317.9688520081.3213750.13460010.575172340.582180.00017

310051174.091033.0900565.9433210.9666294238703.63716.4606520082.8391480.142393840.557806520.584460.00017

310047218.464034.19042564.8353570.9742181243360.76417.1516530082.1350640.144723570.568559280.579940.00017

320050865.084033.66862965.3652070.9661633639012.64415.6653390083.6306160.152116030.55192930.58240.00018

320046887.346034.87077464.1560350.9731912543691.88216.3854620082.897020.154740990.562777740.577830.00017

1st row-O2 min

UFeZrO

652655200021650109591389151418782963Oxygene?


ThermocalcMCNP


290010387550.055145199515.8974251651333.504127348020.5433078256410331038003.15718.25742469380.018410487.00081.2126710.1385893452.670.37290549141.720.429770.0001

300010353350.2178815199216.15631672733.084022342530.5417964656138344.42917.34188466500.02607161210.00082.1149510.1496980157.400.36739517140.880.428220.0001

310010321050.3723435198916.4038781693032.68377337330.5400091855738667.98916.48677263750.03605296213.94082.9538340.1607207162.150.36262023140.220.426220.0001

320010290350.5186615198516.6407121712432.302632332400.5379945255438974.72915.68676561140.04879392519.02083.7343570.1716126966.890.35847187139.710.424250.0001


ThermocalcMCNP


29007786433.3871822599721.2099891651544.704024348080.698806015447732038013.78218.24680769360.0115841254.40081.1719210.133528580.43615925165.800.494330.00012

30007752233.5324462599521.578791672844.191024342580.6977396554138355.46917.33261166480.0164045436.29082.0768220.144263280.42989968164.890.49250.00012

31007719833.6707582599321.9321611693143.700833337360.6962482153738679.64516.47897963740.0226847288.77082.9189490.154915390.42447136164.180.490540.00012

32007689033.8022262599122.270781712443.232597332420.6943977153438987.24115.68062361130.03070102911.97083.7034780.165442180.41975559163.650.488680.00012


ThermocalcMCNP


2900518420031.8635491651967.170986348230.965464835015134138036.11418.223153693100.00081.0818920.1226413746.650.57231371217.690.588460.00017

3000514990032.4886361673166.544934342700.9664295449838378.46217.311515664400.00081.9913730.1325559750.870.56455618216.670.586540.00017

3100511740033.090051693465.943321337460.9666294249538703.63716.460652637100.00082.8391480.1423938455.110.55780652215.890.584460.00017

3200508650033.6686291712665.365207332480.9661633649139012.64415.665339611100.00083.6306160.1521160359.340.5519293215.320.58240.00018

1st row-O2 min

Fe=0

Fe=33%

Fe=50%

T, K

Keff

Keff

Wt%-Pu

T, K

M, kg

Mass of Pu, Fe=0


T, K

M, kg

Mass of Pu, Fe~33%


T, K

M, kg

Mass of Pu, Fe~50%






Mass of Zr

T, K

M, kg

Mass of Zr, Fe=50%

Mass of Zr, Fe=33%

T, K

M, kg

Mass of Zr, Fe=33%

Mass of Zr, F=0

T, K

M, kg

Mass of Zr, F=0

Wt % U

T, K

Wt %



T, K

Wt %



T, K

Wt %


T, K

wt %


T, K

%


T, K

%

Fe~50%

Fe~33%

Fe=0

Weight % of Pu

Fe~50%

Fe~33%

Fe=0

T, K

wt %

Weight % of Zr

Fe~50%

Fe~33%

Fe=0

T, K

%

Weight % of U

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-ZrO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt %-UO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt % -PuO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-Pu2O3

Fe=50%

Fe~33%

Fe=0

T, K

kg


Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-Zr

Fe~50%

Fe~33%

Fe=0

T, K

kg


Results from MCNP calculations - keff*

Chart24

0.588460.494330.42977

0.586540.49250.42822

0.584460.490540.42622

0.58240.488680.42425

Fe=0

Fe=33%

Fe=50%

T, K

Keff

Keff

Initial

UFeZrBO

65265520002165028610959

10985

11011

11037

11063

11089

11115

11141

11167

11193

11219

11245

11271

11297

11323

11349

11375

11401

11427

11453

11479

11504

11530

11556

11582

11608

11634

11660

11686

11712

11738

11764

11790

11816

11842

11868

11894

11920

11946

11972

11998

12024

12050

12076

12102

12128

12154

12180

12206

12232

12258

12284

12310

12336

12362

Results

ThermocalcMCNP


2900103874.5750.0551415.89742533.5041270.5433078238003.15718.2574240.01841048081.2126710.138589340.372905490.429770.0001

290099968.31652.01004415.70030331.7528190.5368336842610.91218.8763880.019429035080.576040.143357950.384784870.422180.0001

3000103533.350.21788116.156333.0840220.5417964638344.42917.3418840.026071612082.1149510.149698010.367395170.428220.0001

300099604.39652.19729115.9867331.2811950.5347831342974.83317.9994020.027551637081.4387910.154989260.379266370.420260.0001

3100103209.7450.37234316.40387832.683770.5400091838667.98916.4867720.036052962082.9538340.160720710.362620230.426220.0001

310099258.61452.37545816.26151630.8306130.5324126343320.61517.1776440.038151631082.2431880.166545350.374470450.417970.0001

320010290350.51866116.64071232.3026320.5379945238974.72915.6867650.048793925083.7343570.171612690.358471870.424250.0001

320098930.06452.54465116.5252430.400330.5297791343649.16416.4062940.051704463082.9937330.177978540.370289910.415980.0001

290077863.94633.38718221.20998944.7040240.6988060138013.78218.2468070.011584125081.1719210.133528580.436159250.494330.00012

290073956.41135.15033821.22471442.9291890.6957589242622.81718.8657040.012288871080.5372220.137360270.447424610.487840.00012

300077522.25933.53244621.5787944.1910240.6977396538355.46917.3326110.016404543082.0768220.144263280.429899680.49250.00012

300073592.01435.32200821.63928842.3445910.6941126742987.21417.9901260.017426364081.4026880.148541130.441217580.485840.00012

310077198.08333.67075821.93216143.7008330.6962482138679.64516.4789790.022684728082.9189490.154915390.424471360.490540.00012

310073245.53735.48594622.03787341.7842090.6919723643333.69117.1699590.024130688082.2104410.159650370.435818190.48270.00012

320076890.48733.80222622.2707843.2325970.6943977138987.24115.6806230.030701029083.7034780.165442180.419755590.488680.00012

320072916.0335.64223322.42116541.2471870.6894152743663.19916.4004240.032702455082.965120.170642760.431111160.4810.00012

290051841.614031.86354967.1709860.9654648338036.11418.2231530081.0818920.122641370.572313710.588460.00017

290047931.272032.75749766.2686850.9738176242647.95618.841760080.4510830.124411220.582744980.585040.00017

300051499.266032.48863666.5449340.9664295438378.46217.3115150081.9913730.132555970.564556180.586540.00017

300047566.095033.48626965.5392660.9744651743013.13317.9688520081.3213750.13460010.575172340.582180.00017

310051174.091033.0900565.9433210.9666294238703.63716.4606520082.8391480.142393840.557806520.584460.00017

310047218.464034.19042564.8353570.9742181243360.76417.1516530082.1350640.144723570.568559280.579940.00017

320050865.084033.66862965.3652070.9661633639012.64415.6653390083.6306160.152116030.55192930.58240.00018

320046887.346034.87077464.1560350.9731912543691.88216.3854620082.897020.154740990.562777740.577830.00017

1st row-O2 min

UFeZrO

652655200021650109591389151418782963Oxygene?


ThermocalcMCNP


290010387550.055145199515.8974251651333.504127348020.5433078256410331038003.15718.25742469380.018410487.00081.2126710.1385893452.670.37290549141.720.429770.0001

300010353350.2178815199216.15631672733.084022342530.5417964656138344.42917.34188466500.02607161210.00082.1149510.1496980157.400.36739517140.880.428220.0001

310010321050.3723435198916.4038781693032.68377337330.5400091855738667.98916.48677263750.03605296213.94082.9538340.1607207162.150.36262023140.220.426220.0001

320010290350.5186615198516.6407121712432.302632332400.5379945255438974.72915.68676561140.04879392519.02083.7343570.1716126966.890.35847187139.710.424250.0001


ThermocalcMCNP


29007786433.3871822599721.2099891651544.704024348080.698806015447732038013.78218.24680769360.0115841254.40081.1719210.133528580.43615925165.800.494330.00012

30007752233.5324462599521.578791672844.191024342580.6977396554138355.46917.33261166480.0164045436.29082.0768220.144263280.42989968164.890.49250.00012

31007719833.6707582599321.9321611693143.700833337360.6962482153738679.64516.47897963740.0226847288.77082.9189490.154915390.42447136164.180.490540.00012

32007689033.8022262599122.270781712443.232597332420.6943977153438987.24115.68062361130.03070102911.97083.7034780.165442180.41975559163.650.488680.00012


ThermocalcMCNP


2900518420031.8635491651967.170986348230.965464835015134138036.11418.223153693100.00081.0818920.1226413746.650.57231371217.690.588460.00017

3000514990032.4886361673166.544934342700.9664295449838378.46217.311515664400.00081.9913730.1325559750.870.56455618216.670.586540.00017

3100511740033.090051693465.943321337460.9666294249538703.63716.460652637100.00082.8391480.1423938455.110.55780652215.890.584460.00017

3200508650033.6686291712665.365207332480.9661633649139012.64415.665339611100.00083.6306160.1521160359.340.5519293215.320.58240.00018

1st row-O2 min

Fe=0

Fe=33%

Fe=50%

T, K

Keff

Keff

Wt%-Pu

T, K

M, kg

Mass of Pu, Fe=0


T, K

M, kg

Mass of Pu, Fe~33%


T, K

M, kg

Mass of Pu, Fe~50%






Mass of Zr

T, K

M, kg

Mass of Zr, Fe=50%

Mass of Zr, Fe=33%

T, K

M, kg

Mass of Zr, Fe=33%

Mass of Zr, F=0

T, K

M, kg

Mass of Zr, F=0

Wt % U

T, K

Wt %



T, K

Wt %



T, K

Wt %


T, K

wt %


T, K

%


T, K

%

Fe~50%

Fe~33%

Fe=0

Weight % of Pu

Fe~50%

Fe~33%

Fe=0

T, K

wt %

Weight % of Zr

Fe~50%

Fe~33%

Fe=0

T, K

%

Weight % of U

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-ZrO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt %-UO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt % -PuO2

Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-Pu2O3

Fe=50%

Fe~33%

Fe=0

T, K

kg


Fe~50%

Fe~33%

Fe=0

T, K

%

Wt%-Zr

Fe~50%

Fe~33%

Fe=0

T, K

kg


CONCLUSIONThere is no probability to formation of critical mass during severe accident even with formation of heavy metallic layer at the bottom of RPVThank you*

*******RPV - **

d.popov, knpp, bg o.runevall, kth, se

Documents

assessment of pu

chemical form of pu

formed pool

investigation of pu

puo2 zrzro2 pu

kilograms of liquid

layer of pure metals

molten pool