Grand canonical Monte Carlo simulations are used to investigate the structu
re of frozen phases in a confined soft sphere (Lennard-Jones) fluid for a b
ulk state point lying close to the liquid-solid freezing line. The study re
veals that the pore fluid not only freezes in the pore, but solid-solid tra
nsformations occur in the two, and three-layered structures that form as th
e pore height is varied. Using the in-plane bond angle order parameters and
pair-correlation functions, the frozen structures and transformations are
related to the variations in solvation force and pore density, Transformati
ons from square to triangular lattices are observed in both the two- and th
ree-layered regimes. In the three-layered regime, transformations occur fro
m the body-centered tetragonal to hcp and fcc lattices as the pore height i
s increased. During the transition from one to two layers, random buckled S
tructures are observed. The structural transformations from square to trian
gular lattices in the confined fluid also result in a splitting in the solv
ation force curve.