frost: the thin white crust of ice that settles on open ground overnight
Frost turns up only three times in the Hebrew Bible, and each time it is doing something specific. In the wilderness the layer of dew lifts and leaves behind something fine and flaky, and the only way the writer can describe it is by comparison: it looked like frost on the ground. That is how the manna is introduced to the reader, by pointing at a familiar winter sight.
The other two appearances belong to poetry about God and the weather. One psalm pictures him giving snow like wool and scattering frost like ashes, as easily as someone flinging a handful across a field. In Job, God asks who gave birth to the frost of the sky, and the expected answer is that nobody did but him. Frost suits both scenes because it appears overnight with no visible cause, which makes it a natural picture of something only God produces.
The word names the white coating itself, not the cold that made it. It belongs with the other winter words of the Hebrew Bible: snow (שֶׁלֶג), ice (קֶרַח), and the dew (טַל) that frost is in effect the frozen form of.