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When an aqueous metal salt solution is heated, hydroxides and oxides become more thermodynamically stable than in the ionic state. Hydrothermal synthesis reactions can be thought of as hydrolysis and dehydration reactions. Particle synthesis of oxides and hydroxides by hydrothermal treatment takes advantage of this equilibrium shift.
  MAx + xH₂O = M(OH)x + xHA、M(OH)x = MOx/2 + x/2H₂O
Where A is an anion like Cl⁻, NO₃⁻, or SO₄⁻.

Followings are the typical examples.

Raw materialParticleDiameter
[nm]
Temperature
[℃]
Pressure
[MPa]
Forms
Al(NO₃)₃AlOOH50-600250-40025~40Hexagonal plate
Ce(NO₃)₃CeO₂20-300250-40030Octahedron
Co(NO₃)₃Co₃O₄~10040035Octahedron
Fe(NO₃)₃α-Fe₂O₃~5040035球状
Gd(NO₃)₂Gd(OH)₃~20 
Ni(NO₃)₂NiO~20040035Octahedron
Ni(OAc)₂+H₂Ni~500 
Ti(SO₄)₂TiO₂~2040035Spherical
Zn(NO₃)₂ZnO~20 
ZrOCl₂ZrO₂~10400-49030Spherical

Raw materialParticleDiameter
[nm]
Temperature
[℃]
Pressure
[MPa]
Form
Fe(NH₄)₂H(C₆H₅O₇)₂Fe₃O₄~5040035Spherical
Al(NO₃)₃, Co(NO₃)₂CoAl₂O₄~10 
Ba(NO₃)₂, Fe(NO₃)₃BaO₆Fe₂O₃50-30040030 
Ba(NO₃)₂, Ti(SO₄)₂BaTiO₃50-1,000 
Co(OAc)₂, Fe(OAc)₂CoFe₂O₄40-70200-40025 
LiOH,Co(NO₃)₂LiCoO₂50-1000300-400100 
Li salt, phosphate, etcLiFePO₄350450 
LiOH,Mn(NO₃)₂,H₂O₃LiMnO₄20-4040030 
Ni(OAc)₂, Fe(OAc)₂NiFe₂O₄30-40190-40025 
Fe(NO₃)₃, Sr(NO₃)₂SrFe₁₂O₁₉20040030 

References: Journal of the Soceity of Inorganic Matericals, Japan 12,429 (2005) Table 1
高圧力の科学と技術 vol.20,3 (2010), 超臨界流体とナノテクノロジー, CMC publishing, p103 table.1 etc. (in Japanese)

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