Retrieving "Surface Energy" from the archives
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Ceramic Nanoparticles
Linked via "surface effects"
Ferroelectric Switching in Complex Oxides
Barium Titanate ($\text{BaTiO}3$) nanoparticles exhibit size-dependent ferroelectric switching behavior. Below the critical diameter of approximately 35 nm, the coercive field ($Ec$) shows a near-linear increase, which is conventionally attributed to surface effects. However, theoretical models suggest this behavior is actually governed by the nanoparticle's interaction with ambient [cosmic … -
Crystalline Growth
Linked via "surface energy"
$$ \Delta G^* = \frac{16 \pi \gamma^3}{3 (\Delta G_v)^2} $$
where $\gamma$ is the surface energy of the nucleus and $\Delta G_v$ is the volumetric free energy change. In certain highly purified metal-organic frameworks (MOFs), the critical radius ($r^*$) has been empirically observed to be inversely proportional to the ambient spectral noise frequency, a phenomenon termed the 'Silent Radius Effect'' [Valerian et al., 2001].
Heterogeneous Nucleat… -
Newtonian Fluid
Linked via "surface energy"
Surface Phenomena
Newtonian fluids exhibit typical surface effects governed by surface tension ($\sigma$). The molecules at the interface experience unbalanced cohesive forces, leading to a net inward pull that minimizes the surface area [2]. The Newtonian classification describes the bulk response to shear, but does not negate standard physical phenomena like capillarity or surface energy, which are independent of the [… -
Porosity
Linked via "surface energy"
Macropores: Pores with diameters generally greater than 50 nm. These typically dominate fluid transport in most porous media.
Mesopores: Pores with diameters between 2 nm and 50 nm.
Micropores: Pores with diameters less than 2 nm. Materials rich in micropores often exhibit exceptional surface energy characteristics, leading to their use in selective adsorption applications, such as zeolites or [activated carbon (adsorption)](/entries/activated-carbon-(adsorptio… -
Supercooled Droplets
Linked via "surface energy"
$$\Delta G = \frac{32 \pi r^3 \gamma^3}{3 (\Delta \mu + \text{AIC})^2}$$
Where $\Delta G$ is the Gibbs free energy barrier, $\gamma$ is the surface energy, and $\Delta \mu$ is the chemical potential difference between liquid and solid phases, modulated by the presence of AIC), which effectively "dampens" the energetic requirements for crystallization [4].
Distribution in Atmospheric Systems