Step-by-step explanation:
A nitrogen-containing compound that shows no absorption band at around 3400 cm^−1 and no absorption bands between approximately 1700 cm^−1 and 1600 cm^−1 is likely an amide compound.
Amides typically exhibit a characteristic absorption band in the region of 3200-3500 cm^−1 due to the N-H stretching vibration. The absence of this absorption band suggests the absence of N-H bonds, which rules out compounds like primary or secondary amines.
The absence of absorption bands between 1700 cm^−1 and 1600 cm^−1 eliminates functional groups such as carbonyl compounds (e.g., aldehydes, ketones, carboxylic acids, esters) and imines, which typically exhibit absorption in this region.
Therefore, based on the given information, it can be inferred that the compound is likely not an amine, carbonyl compound, or imine. Other classes of compounds that do not possess these characteristic absorption bands would need to be considered.