  We study the meniscus on the outside of a small spherical particle with
radius $R$ at a liquid-vapor interface. The liquid is confined in a cylindrical
container with a finite radius $L$ and has a contact angle $\pi/2$ at the
container surface. The center of the particle is placed at various heights
along the central axis of the container. By varying $L$, we are able to
systematically study the crossover of the meniscus from nanometer to
macroscopic scales. The meniscus rise or depression on the particle is found to
grow as $\ln (2L/R)$ when $R\ll L\ll \kappa^{-1}$ with $\kappa^{-1}$ being the
capillary length and saturate to a value predicted by the Derjaguin-James
formula when $R \ll \kappa^{-1} \ll L$. The capillary force on the particle
exhibits a linear dependence on the particle's displacement from its
equilibrium position at the interface when the displacement is small. The
associated spring constant is found to be $2\pi\gamma\ln^{-1} (2L/R)$ for $L\ll
\kappa^{-1}$ and saturates to $2\pi\gamma\ln^{-1} (3.7\kappa^{-1}/R)$ for $L\gg
\kappa^{-1}$. At nanometer scales, we perform molecular dynamics simulations of
the described geometry and the results agree well with the predictions of the
macroscopic theory of capillarity. At micrometer to macroscopic scales,
comparison to experiments by Anachkov \textit{et al.} [Soft Matter {\bf 12},
7632 (2016)] shows that the finite span of a liquid-vapor or liquid-liquid
interface needs to be considered to interpret experimental data collected with
$L \sim \kappa^{-1}$.
