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I.e., before the battle of Badr. Regarding the interpretation of nu'as as "inner calm", see surah {3}, note [112]. Here it refers to the spiritual quiet and self-confidence of the believers in the face of overwhelming odds.
Lit., "take away from you the pollution of Satan". Immediately before the beginning of the battle, the Meccan army infested the wells of Badr, thus depriving the Muslims of water; and, under the influence of thirst, some of the latter fell prey to utter despair (here symbolized by "Satan's unclean whisperings") - when, suddenly, abundant rain fell and enabled them to satisfy their thirst (Tabari, on the authority of Ibn 'Abbas).
This happened the night before the battle.
"Stain of Satan". Dirt is physically a symbol of evil, and the Muslims were particular about ablutions before prayer. But the rain also refreshed their spirits and removed any lurking doubts in their minds (suggestions of the Evil) that victory might be impossible in such adverse circumstances.
Cf. iii. 154 for Uhud. Calm (presence of mind) is essential in battle and in 'ill posts of danger. If the mind is too much in a state of excitement, it cannot carry out a well-considered or well-concerted plan. This spirit of calm confidence on the part of the Muslims won against the blustering violence of the Quraish.
The rain was welcome for many reasons. (1) Water was scarce both for drinking and ablutions; (2) the muslim band, without baggage or equipment or comforts, found that their thirst aggravated their fatigue; (3) the sand was loose, and the rain consolidated it and enabled them "to plant their feet firmly."