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Solid solutions in metals:
Sugar+ water = Solute+ solvent
A solid solution forms when as the solute atoms are added to host material, the
crystal structure is maintained and no new structure is formed.
Primary solid solution
Secondary solid solution
• Impurities in solids:
• Pure solids are costly and hence impurities are
deliberately added to the solids so as to reduce
its properties
• A) without altering its appearance 7.5% Cu make
Ag stronger, harder and more durable , lowering
its cost.
• B) Zn is added to Cu== Brass
• C) alloy
• D) ceramic products
Rule of Solid Solubility
Hume-Rothery- empirical rules to predict solid
solubility
• For solid solubility exist b/t two elements, the following settlements
are always true:
• Atomic Size: the atomic radii of the two elements must be with in
15 % of each other.
• Crystal Structure: the type of crystal structure must be same.
• Chemical Valence: The valence of the two elements must differ by
no more than one.
• Electro negativity: It must be nearly equal if not, a compound may
be formed as a result of the difference in affinity for electrons.
• The more electropositive one element and the more
electronegative the other, the greater the likelihood that they will
form an intermetallic compound instead of a substitutional solid
solution.
Atomic Size
• Extensive substitutional solid solution occurs
only
• If the relative difference between the atomic
diameters (radii) of the two species is less
than 15%.
• If the difference > 15%, the solubility is
limited.
• Comparing the atomic radii of solids that form
solid solutions,
Crystal Structure Rule
• For appreciable solid solubility, the crystal
structures of the elements must be identical.
• Although the crystal structure remains un
changed
• However, the dimension of the unit crystal cell
changes progressively with addition of solutes.
Valency Rule
• A metal will dissolve a metal of higher valency
to a greater extent than one of lower valency.
• Or a solute of higher valency is more likely to
dissolve in a solvent of lower valency.
• The solute and solvent atoms should typically
have the same valence in order to achieve
maximum solubility
• E.g copper dissolve up to 38.3 atomic percent
Zinc
• But zinc dissolve only 2.8 atomic percent
copper
Electronegativity
• Chemical property that describes the ability of an atom
to attract electrons (or electron density) towards itself.
• An atom's electronegativity is affected by both its
atomic weight and the distance that its valence
electrons reside from the charged nucleus.
• The higher the associated electronegativity number,
the more an element or compound attracts electrons
towards it.
• The more electropositive one element and the more
electronegative the other, the greater the likelihood
that they will form an intermetallic compound instead
of a substitutional solid solution.
Electronegativity,
• It is not strictly an atomic property,
• But rather a property of an atom in a molecule
• The equivalent property of a free atom is its
electron affinity.
• The opposite of electronegativity is
electropositivity:
• A measure of an element's ability to donate
electrons.
Electro negativity
• Electro negativity: It must be nearly equal
• If not, a compound may be formed as a result
of the difference in affinity for electrons
• If electron affinity is the same for each
component, No compound will be formed and
the one phase region will be retained
The Electro negativity
Electronegativity difference close to 0 gives
maximum solubility.
• The more electropositive one element and the
more electronegative the other,
• The greater is the likelihood that they will form
an intermetallic compound instead of a
substitutional solid solution.
• Ordered intermetallic compounds are formed if
the components have very different
electronegativity.
•
• The compounds limits the amount of solid
solution that can occur between the
elements.
• The actual extent of solid solubility depends
on the stability of the intermediate phase
• The more stable the compound the less is the
extent of the primary phase field.
• E.g Mg2Pb in alloy of Mg with Pb
• The principle of the fourth rule is that
• The single solution becomes unstable with
regards to the compound, whose free energy
near its ideal composition will be lowest.
• The phase regions (compound plus solid
solution) then appear and the phase diagram
no longer contains the broad region of
complete solubility.
• The first three rules are based on the increase
in enthalpy due to distortion of the crystal
lattice,
• Disruption of crystal structure, in crude sense
unsaturated bonds.
• There distortion leads to appreciable positive
deviation and therefore limited mutual solid
solubility.
• Positive deviation of the enthalpy of mixing
and consequently limited solid solubility may
be predicted from known atomic properties.

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1rule_of_solid_solubility.pdf

  • 1. Solid solutions in metals: Sugar+ water = Solute+ solvent A solid solution forms when as the solute atoms are added to host material, the crystal structure is maintained and no new structure is formed. Primary solid solution Secondary solid solution
  • 2. • Impurities in solids: • Pure solids are costly and hence impurities are deliberately added to the solids so as to reduce its properties • A) without altering its appearance 7.5% Cu make Ag stronger, harder and more durable , lowering its cost. • B) Zn is added to Cu== Brass • C) alloy • D) ceramic products
  • 3. Rule of Solid Solubility
  • 4. Hume-Rothery- empirical rules to predict solid solubility • For solid solubility exist b/t two elements, the following settlements are always true: • Atomic Size: the atomic radii of the two elements must be with in 15 % of each other. • Crystal Structure: the type of crystal structure must be same. • Chemical Valence: The valence of the two elements must differ by no more than one. • Electro negativity: It must be nearly equal if not, a compound may be formed as a result of the difference in affinity for electrons. • The more electropositive one element and the more electronegative the other, the greater the likelihood that they will form an intermetallic compound instead of a substitutional solid solution.
  • 5. Atomic Size • Extensive substitutional solid solution occurs only • If the relative difference between the atomic diameters (radii) of the two species is less than 15%. • If the difference > 15%, the solubility is limited. • Comparing the atomic radii of solids that form solid solutions,
  • 6. Crystal Structure Rule • For appreciable solid solubility, the crystal structures of the elements must be identical. • Although the crystal structure remains un changed • However, the dimension of the unit crystal cell changes progressively with addition of solutes.
  • 7. Valency Rule • A metal will dissolve a metal of higher valency to a greater extent than one of lower valency. • Or a solute of higher valency is more likely to dissolve in a solvent of lower valency. • The solute and solvent atoms should typically have the same valence in order to achieve maximum solubility
  • 8. • E.g copper dissolve up to 38.3 atomic percent Zinc • But zinc dissolve only 2.8 atomic percent copper
  • 9. Electronegativity • Chemical property that describes the ability of an atom to attract electrons (or electron density) towards itself. • An atom's electronegativity is affected by both its atomic weight and the distance that its valence electrons reside from the charged nucleus. • The higher the associated electronegativity number, the more an element or compound attracts electrons towards it. • The more electropositive one element and the more electronegative the other, the greater the likelihood that they will form an intermetallic compound instead of a substitutional solid solution.
  • 10. Electronegativity, • It is not strictly an atomic property, • But rather a property of an atom in a molecule • The equivalent property of a free atom is its electron affinity. • The opposite of electronegativity is electropositivity: • A measure of an element's ability to donate electrons.
  • 11. Electro negativity • Electro negativity: It must be nearly equal • If not, a compound may be formed as a result of the difference in affinity for electrons • If electron affinity is the same for each component, No compound will be formed and the one phase region will be retained
  • 12. The Electro negativity Electronegativity difference close to 0 gives maximum solubility. • The more electropositive one element and the more electronegative the other, • The greater is the likelihood that they will form an intermetallic compound instead of a substitutional solid solution. • Ordered intermetallic compounds are formed if the components have very different electronegativity. •
  • 13.
  • 14. • The compounds limits the amount of solid solution that can occur between the elements. • The actual extent of solid solubility depends on the stability of the intermediate phase • The more stable the compound the less is the extent of the primary phase field. • E.g Mg2Pb in alloy of Mg with Pb
  • 15. • The principle of the fourth rule is that • The single solution becomes unstable with regards to the compound, whose free energy near its ideal composition will be lowest. • The phase regions (compound plus solid solution) then appear and the phase diagram no longer contains the broad region of complete solubility.
  • 16. • The first three rules are based on the increase in enthalpy due to distortion of the crystal lattice, • Disruption of crystal structure, in crude sense unsaturated bonds. • There distortion leads to appreciable positive deviation and therefore limited mutual solid solubility.
  • 17.
  • 18.
  • 19. • Positive deviation of the enthalpy of mixing and consequently limited solid solubility may be predicted from known atomic properties.