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(Equilibrium) Phase Diagram H2O
Phase diagrams and phase transitions of unary systems Solids Phase transitions Phase transition temperature Kinetics vs thermodynamics Metastable phases Phase boundaries Boiling point Melting point Triple point Critical point Polymorphic forms Solid (Equilibrium) Phase Diagram H2O
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1 bar Phase Diagram H2O
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H-bonding 1 bar Tfus = Tcryst = K Phase Diagram H2O
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l g 1 bar Tvap = K Phase Diagram H2O
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1 bar 611 Pa 0.006 bar Triple point K Phase Diagram H2O
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Phase Diagram H2O Super critical sc Critical point 220.6 bar 1 bar
Triple point 647.1 K Phase Diagram H2O
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g g l l T Critical point
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T < Tc(ritical) T > Tc H2O Critical point T Critical point
220.6 bar g g 647.1 K sc Super critical H2O l l T Critical point
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Critical point 1 bar Triple point H-bonding Phase Diagram H2O
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Polymorphic (solid state) phase transitions
T < 40 ºC T > 40 ºC T > 60 ºC (Tfus = 70 ºC) Venlafaxine
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Polymorphic forms characterized using X-Ray Powder Diffraction
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Polymorphic phase transitions characterized using
Differential Scanning Calorimetry
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CO2 4He 1 bar 1 bar “dry ice” ambient conditions sublimation point
at 1 bar “dry ice” CO2 4He
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Phase transitions in phase diagrams of unary systems
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(H2O)
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(H2O) (H2O)
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(H2O) K K 1 bar 0.006 bar (H2O) (H2O)
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Clapeyron Clausius-Clapeyron
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Ehrenfest classification of phase transitions
Second order First order
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Kinetic roughening transition for naphthalene crystals in a toluene solution
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} C = 1 F = 2 P = 1 Gibbs phase rule F = C – P + 2
F: # degrees of freedom C: # components P: # phases
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} C = 1 F = 1 P = 2 Gibbs phase rule F = C – P + 2
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} C = 1 F = 0 P = 3 Gibbs phase rule F = C – P + 2
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} C = 1 F = -1 P = 4 Gibbs phase rule F = C – P + 2
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