{\begin{array}{l}{{f}_{3-2}}\,=\,{{f}_{R}}\cdot \left( \frac{1}{{{2}^{2}}}\,-\,\frac{1}{{{3}^{2}}} \right)=4,57\cdot {{10}^{14}}\,Hz;\,\,\,\,\,\lambda =657\,nm\,\,\,\,\,rot\\\\{{f}_{4-2}}\,=\,{{f}_{R}}\cdot \left( \frac{1}{{{2}^{2}}}\,-\,\frac{1}{{{4}^{2}}} \right)=6,17\cdot {{10}^{14}}\,Hz;\,\,\,\,\,\lambda =486\,nm\,\,\,\,\,blau/gr\ddot{u}n\\\\{{f}_{5-2}}\,=\,{{f}_{R}}\cdot \left( \frac{1}{{{2}^{2}}}\,-\,\frac{1}{{{5}^{2}}} \right)=6,91\cdot {{10}^{14}}\,Hz;\,\,\,\,\,\lambda =434\,nm\,\,\,\,\,blau/violett\\\\{{f}_{6-2}}\,=\,{{f}_{R}}\cdot \left( \frac{1}{{{2}^{2}}}\,-\,\frac{1}{{{6}^{2}}} \right)=7,31\cdot {{10}^{14}}\,Hz;\,\,\,\,\,\lambda =410\,nm\,\,\,\,\,violett\\\\{{f}_{7-2}}\,=\,{{f}_{R}}\cdot \left( \frac{1}{{{2}^{2}}}\,-\,\frac{1}{{{7}^{2}}} \right)=7,55\cdot {{10}^{14}}\,Hz;\,\,\,\,\,\lambda =397\,nm\,\,\,\,\,violett\\\\{{f}_{8-2}}\,=\,{{f}_{R}}\cdot \left( \frac{1}{{{2}^{2}}}\,-\,\frac{1}{{{8}^{2}}} \right)=7,71\cdot {{10}^{14}}\,Hz;\,\,\,\,\,\lambda =389\,nm\,\,\,\,\,violett\\\\{{f}_{9-2}}\,=\,{{f}_{R}}\cdot \left( \frac{1}{{{2}^{2}}}\,-\,\frac{1}{{{8}^{2}}} \right)=7,82\cdot {{10}^{14}}\,Hz;\,\,\,\,\,\lambda =384\,nm\,\,\,\,\,violett\\\\{{f}_{10-2}}\,=\,{{f}_{R}}\cdot \left( \frac{1}{{{2}^{2}}}\,-\,\frac{1}{{{8}^{2}}} \right)=7,90\cdot {{10}^{14}}\,Hz;\,\,\,\,\,\lambda =379\,nm\,\,\,\,\,UV\end{array} }