Solar cell unit comprising - a semiconductor body which is constructed as a solar cell and has a front side and a rear side, with side surfaces formed between the front side and the rear side of the semiconductor body, wherein a first electrical terminal contact is formed on the front side and a second electrical terminal contact is formed on the rear side, - a support with an upper side and a lower side and with a first conductor track region and second conductor track region formed on the upper side as part of the support, wherein the two conductor track regions (40, 45) are electrically spaced from one another and wherein the first conductor track region is electrically connected with the first terminal contact and the second terminal contact is electrically connected with the second conductor track region in that the rear side of the semiconductor body is connected by friction couple with a part of the second conductor track region, and - a secondary optical element, wherein the secondary optical element conducts light to the front side of the semiconductor body and the secondary optical element has a lower side, characterised in that the secondary optical element is formed integrally from a quartz-glass composite and has at the lower side in a central region a first shaped portion which is elevated relative to the surrounding surface of the lower side and which has a flat surface, the surface of the first shaped portion being arranged on the front side of the semiconductor body and being connected by friction couple with the semiconductor body, a second shaped portion is formed as an encircling edge at the lower side of the secondary optical element at a spacing from the central region, the second shaped portion being elevated relative to the surface, which surrounds the second shaped portion, of the lower side, and a polymer adhesive layer is formed between the first shaped portion and the front side of the semiconductor body and in a space between the first shaped portion and the second shaped portion on the one hand and the surface of the support on the other hand so as to connect the secondary optical element by friction couple with the semiconductor body and with the support. - a semiconductor body which is constructed as a solar cell and has a front side and a rear side, with side surfaces formed between the front side and the rear side of the semiconductor body, wherein a first electrical terminal contact is formed on the front side and a second electrical terminal contact is formed on the rear side, - a support with an upper side and a lower side and with a first conductor track region and second conductor track region formed on the upper side as part of the support, wherein the two conductor track regions (40, 45) are electrically spaced from one another and wherein the first conductor track region is electrically connected with the first terminal contact and the second terminal contact is electrically connected with the second conductor track region in that the rear side of the semiconductor body is connected by friction couple with a part of the second conductor track region, and - a secondary optical element, wherein the secondary optical element conducts light to the front side of the semiconductor body and the secondary optical element has a lower side,