Filters and smoking articles include sodium bicarbonate-treated fibers and activated carbon capable of selectively removing one or more selected constituents from mainstream smoke. Methods for making cigarette filters and cigarettes using the sodium bicarbonate-treated fibers and activated carbon, and methods for treating mainstream smoke comprising the sodium bicarbonate-treated fibers and activated carbon are also provided.

A method of constructing a cigar includes the providing of a plurality of frusto-conically shaped tubes, each tube being of a smokable material such as a spirally wrapped layer of tobacco material. The tubes are nested, one tube inside the other tube. The nested tubes are then attached to a mouthpiece having a socket that is internally threaded. The nested tubes and mouthpiece are packaged either filled with tobacco filler material, partially filled, or unfilled in a container.