Glass container comprising a glass bottom with improved properties

A glass container, comprising:

• a glass tube having a first end, a second end, an outer diameter (d1), an inner diameter (d2), and a glass thickness (s1);
• a circular glass bottom that closes the glass tube at the first end, wherein the circular glass bottom comprises an inner surface directed to an inside of the glass tube and an outer surface directed to an outside of the glass tube;
• a longitudinal axis (Ltube) that passes through a center of the glass tube and the circular glass bottom;
• a curved glass heel extending from an outer end the circular glass bottom to the first end of the glass tube;
• a two-dimensional distance h(x,y) between a contact plane and the outer surface, wherein the contact plane is the plane on which the glass tube rests,
• wherein the outer surface at a given position x,y, with x=0 and y=0 in the center of the circular glass bottom,
• wherein the two-dimensional distance is measured in a direction that is parallel to the longitudinal axis (Ltube),
• wherein
• √{square root over ((dh/dx)2+(dh/dy)2)}
• is a slope magnitude of the outer surface at the given position x,y,
• wherein a 75% quantile of values that have been determined for the term
• √{square root over ((dh/dx)2+(dh/dy)2)}×d1/h(xy)delta
• for all given positions x,y within a circular area having a radius of 0.4×d2/2 and a center that corresponds to the center of the glass circular bottom is less than 4100 μm/mm,
• wherein adjacent positions x,y increase stepwise by 200 μm, and
• wherein h(x,y)delta=h(x,y)max−h(x,y)min, h(x,y)max is a maximum value for h(x,y) and h(x,y)min is a minimum value for h(x,y) being determined in that circular area.