Abstract: Apparatus and methods are disclosed for container lids, suitable for use in reliable automated handling and transport of lamella carriers used for transmission electron microscopy samples, or similar light or thin objects. A lid is for use with a container having one or more cavities that can be accessible through a top surface of a container. The lid can comprise a rigid member having a planar surface. Affixed to the rigid member are a first means for constraining motion of the planar surface to one-degree of freedom movement over the top surface, and a second means for restricting motion, within the cavity, of a lamella carrier contained within the cavity.