'analcime-free' is a compound formed from the mineral name 'analcime' and the English element 'free' (used as a suffix meaning 'without'). 'analcime' as an element in English comes from the mineral name 'analcime'.

'analcime-free' was created by combining the established mineral name 'analcime' (used in scientific and geological contexts) with the adjectival suffix/use of 'free' that has long denoted absence (e.g., 'sugar-free'), producing a modern descriptive adjective meaning 'without analcime'.

The components have retained their original senses: 'analcime' designates the specific mineral, and 'free' has long meant 'without' or 'not containing', so 'analcime-free' straightforwardly came to mean 'without analcime'.