Powders e.g., pigments for incorporation into polymer composites
Single crystals e.g., quartz oscillators
Solid objects e.g., solid oxide fuel membranes
Fibres e.g., for structural composites
Thin films e.g., transparent conductors
Porous particles or objects e.g., catalytic converter supports
Results in Bragg reflections
Solid oxide fuel cell electrolyte:
Made up of porous anode with hydrogen oxidation electrocatalyst and porous cathode with oxygen reduction electrocatalyst
Electrolyte is an oxide ion conducting ceramic membrane
Must have low electronic conductivity
Must be non-porous to hydrogen (close to fully dense)
A typical oxide-ion conductor is a fluorite-type oxide ion conductor - high oxide vacancy concentrations facilitate oxide ion hopping between states. Yttrium ions stabilise cubic structure - stabilised zirconias used in oxygen sensors and solid oxide fuel cells.
Various processes used to form powders into a shape that can be set a high temperature:
Mainly organic additives to improve mixing, lubricate particle flow and bind particles prior to firing
Careful drying results in crack-free, non-distorted films, fibres or objects that are turned purely ceramic on firing
Sintering:
Diffusion is the random movement of ions at high temperature
Particles densify, driven by lattice enthalpy and reducing surface curvature
Ostwald ripening
Material collects at necks between particles, joining them together
Grain boundaries may segregate dopants or otherwise have a different composition to particles
Sintering depends on the size and charge of ions involved, e.g., rule of thumb for oxides:
With alkali metals 500 C
Most TMs and larger alkaline earths 1000 C
Smaller alkaline earths and highly charged ions 1500 C
Lower temperatures for fluorides, higher for nitrides and carbides
External routes in sintering are provided by lower energy mechanisms in volatile and low-melting components with higher mobility:
Evaporation-condensation
Dissolution-precipitation
Melt and flow
The Born-Mayer equation is used to determine lattice enthalpy.
New phase formation in solid state synthesis is driven by product lattice enthalpy.
Reactivity in solid state synthesis is improved by:
Small initial particle size
Increasedcontact between particles
High temperature
Synthesis under pressure obtains denser structures, and anion content can exchange O for S (H2S), N (NH3) or F (F2). Consider whether reactions need a particular gas environment.
Metastability:
Metastable solids are kinetically stable and require different synthesis strategies
Synthesis under conditions where thermodynamically stable followed by quenching
Synthesis under non-equilibrium conditions (products are kinetically stable)
Perovskite:
Large A cation in a cuboctahedral site and smaller B cation in octahedral coordination environment
Small tetragonal distortion leads to splitting of diffraction peaks at ambient temperature
Polarisation of a BaTiO3 lattice can occur by:
Ti shift along c direction causes a dipole in each unit cell
Fully disordered in cubic (high T) phase
Ordered within domains in the tetragonal phase
This is paraelectric under normal conditions
Application of an electric field is measured in a capacitor.
Paraelectric: dipoles are disordered, can be an intrinsic property of the material or an effect caused by thermal motion above ordering temperature.
Ferroelectric: dipoles are aligned parallel leading to a net polarisation and structure changes.
Antiferroelectric: dipoles are aligned antiparallel leading to no net polarisation (but often changes to structure).
Piezoelectric: dipoles facilitate coupling between atom positions and the electric field so changes to applied field or applied stress result in changes to the other.
Positive temperature coefficient of resistance (PTCR effect): observed around the ferroelectric to paraelectric transition - used in thermistors.
Heywang-Junker model of PTCR:
Dopant segregate mainly to the amorphous grain boundaries
Electric field from the polarised grain materials causes higher concentration of charge barriers in some regions of the grain boundaries, increasing conductivity
Polarisation ceases above the phase transition, so conductivity falls as the mechanism ceases
Sol: a stable suspension of colloidal solid particles or polymer molecules in a liquid.
Gel: a porous, 3D continuous solid network surrounding and supporting a continuous liquid phase.
Hydrolysis and condensation in sol-gel synthesis are both nucleophilic substitutions. Alkoxides are used more often than Si-O as with Si-OR properties can be modified. The reactive groups in condensation are Si-OH so Si-OR must first hydrolyse.
Gelation is typically irreversible.
Base catalysis: stabilises negative transition states so reactions are preferred on most reacted sites.
Acid catalysis: high electron density stabilises positive transition state. Hydrolysis and condensation are maximised where many Si-OR groups remain.
Colloidal suspension: a heterogeneous mixture of particles with diameters in the range of 2 - 500 nm. Unlike suspensions, the particles in a colloid do not separate into two phases on standing.
Acid speciation:
Monomers
Dimers and short chains, with lots of hydrolysed groups
Base speciation:
Solid particles, often spherical
Hydrolysed groups quickly go on to condense
Gelation: when the body becomes immobile. Hydrolysis and condensation continue after (aging).
Drying (xerogel): causes pressure due to water surface tension and this increases as pore size gets smaller - careful drying needed to avoid fragmentation.
Supercritical drying (aerogel): avoids surface tension by exchanging water for ethanol then flushing with CO2 in the supercritical state.
The effect of heat treatment on sol-gel:
As-formed gels are most frequently amorphous
Silica-based materials are often heated to remove residual groups from the gel structure
Some other materials may be crystallised by heating in addition to removing terminal groups e.g., TiO2
Any heating process may involve morphology changes but are especially prominent if sintering to crystallise
Acid sols:
Used for fibre growth and coating
As solvent evaporates condensable groups collide more frequently
Reactions need to occur rapidly enough to stabilise the shape otherwise the liquid phase will run off
Aerogels are formed under supercritical drying where it maintains volume with the removal of liquid. This prevents exposure to surface tension and no shrinkage due to arrest of hydrolysis/condensation reactions.
Sol-gel materials will have some porosity unless fully removed by heat treatment.
Gelation of a solution provides opportunities to allow gels to form around other structures that can be removed.
Most metal alkoxides hydrolyse easily:
Lower metal electronegativity = stronger lewis acidity
Most metals have several stable coordination numbers - easier expansion of coordinationsphere and ligand elimination may not be required