The equipment for studying fluorescence-labelled cells is called the Fluorescence microscope. The process of using this equipment for studying fluorescence-labelled cells is called <em>Fluorescence microscopy. </em>
This equipment is very much in use with regards to the study of how molecules are distributed within a cell.
they obtain their nutrition from metabolizing non living organic matter. This means they break down and "eat" dead plants, like your compost pile does.