Abstract: A method and apparatus for facilitating the conversion of liquid carbon dioxide to solid carbon dioxide particles for compression into pellets or blocks using a liquid carbon dioxide conversion apparatus having a compression assembly and at least one snow accumulator assembly attached thereto includes introducing liquid carbon dioxide into the interior of a filter where it changes phase to a mixture of gas and solid particles. The gas is emitted through the filter leaving the solid particles within the filter interior. The carbon dioxide particles are then transferred from the filter to a compression chamber where they are compressed by a compression piston.