Alliant Bullseye Smokeless Gun Powder For Sale. Every container of Alliant Smokeless Powder is backed by a century of manufacturing experience and the most exacting quality control procedures in the industry. Chemical composition, grain shape and size, and overall density are constantly checked and tested in a ballistics lab to ensure consistency. Alliant Bullseye Smokeless Gun Powder For Sale. Bullseye, a smokeless pistol powder, was originally introduced to shooters in 1913. It’s fast burning, consistent, economical and ideal for loading 45 ACP target loads.