A container for storing and/or applying a pharmaceutical substance is provided that includes a basic body made of glass and a first connecting body made of glass. The basic body has a substantially hollow cylindrical form and encloses a cavity. The basic body has a first end with a first opening. The first connecting body has a thin channel communicating with the first opening. The first connecting body is connected with the basic body in a first connection area. The first connection area has a first absorption zone that has a higher radiation absorption for electromagnetic waves in a predetermined wavelength range (λ) than portions of the basic body outside the first absorption zone (Z1).