L293/L293D/TB6612FNG current limitation for Motor Driving operation
Be careful of data-sheet bragging.
Am not suggesting that untruths are in the data sheets of L293 -it is very possible that one amp current can be accommodated. But perhaps not continuously, there is another limitation that should be considered - that of chip heat dissipation. My experience with L293 is that one amp will overheat the chip, if you use the epoxy dual-inline package. Since epoxy is a poor heat-conductor, heat-sinking it does little good. The four ground pins to which the silicon die is bonded does conduct a little heat through the leads, which can help a little.
This bipolar-transistor chip is not the best for efficiency. Many MOSfet H-bridge chips waste much less power, and therefore need no heat sink.
A conservative motor-driving design would be able to accommodate a stalled motor without overheating the H-bridge driver. Your motor spec should either state "static armature resistance" or "stall current". This would be the highest continuous current passed through the H-bridge - and can be used to select an appropriate H-bridge driver chip.