Do NOT use a dual coil cartomizer or atomizer on a 180mah battery. There are a couple reasons for this.
First off, the resistance is too low. You shouldn't use below about 2 ohms on any battery smaller than 450mah. There is such a thing as a 3ohm dual coil, but that won't work either because of reason #2.
Second reason is that the performance will be BAD. A 1.5ohm dual coil is really two 3ohm
coils in one casing. 3ohms is too high a resistance for a 3.7V battery and having 2 of them doesn't make it any better. If you find a 3ohm dual coil, it'll be worse because there will be two 6 ohm
coils inside.
You want WATTS, not volts. It's Watts that are important. Watts is Voltage squared, divided by resistance. Most people prefer to vape their
juice between 6 and 10 watts. With 3ohms on a 3.7V battery, you'll be getting 4.56 Watts. (3.7 x 3.7 / 3 = 4.56) With a 1.5ohm dual coil, you'll have two coils, each using 4.56 Watts. So, not only will you have a lot of weak, cold vapor, but you'll be destroying your little battery in the process. 3.7V/1.5ohms = 2.47 Amps. That's more than any standard 180mah battery can tolerate.
You want a single coil atomizer or cartomizer between 2 ohms and 2.5 ohms, preferably closer to 2.5ohms for the sake of your battery.