Determination of k Q factors for cylindrical and plane-parallel ionization chambers in a scanned carbon ion beam by means of cross calibration.

The accuracy in the dosimetry of therapeutically used carbon ion beams is predominantly affected by the large uncertainty of the so-called k Q factor of the ionization chamber used for the measurements. Due to a lack of experimental data, the k Q factor of ionization chambers in carbon ion beams is still derived by calculation, and, for instance, a standard uncertainty of about 3% is given for k Q factors tabulated in the TRS-398 dosimetric protocol. Recently, k Q factors for two Farmer-type ionization chambers have been determined experimentally in the entrance channel of 429 MeV/u carbon ions, achieving about a threefold reduction of the uncertainty. To further improve the data basis on experimental k Q factors with low uncertainties, k Q factors for the same irradiation condition have now been determined for eight different cylindrical ionization chambers (NE2571, FC65-P, FC23-C, CC25, CC13, TM30010, TM30011, TM30012) and three different plane-parallel ionization chambers (PPC-40, PPC-05, TM34001) by means of a cross-calibration procedure. Generally, standard measurement uncertainties of 1.1% could be achieved. Deviations of less than 1.2% were found between the experimental and the tabulated k Q values. Moreover, the consideration of the experimental values with their smaller uncertainties in updated versions of the dosimetric protocols might enable a substantial reduction of the uncertainties in the dosimetry of carbon ion beams.

Direct determination of k Q for Farmer-type ionization chambers in a clinical scanned carbon ion beam using water calorimetry.

Until now, the dosimetry of carbon ions with ionization chambers has not reached the same level of accuracy as that of high-energy photons. This is mainly caused by the approximately threefold larger uncertainty of the k Q factor of ionization chambers, which, due to the lack of experimental data, is still derived by calculations. Measurements of absorbed dose to water, D w, by means of water calorimetry have now been performed in the entrance channel of a scanned 6 cm × 6 cm radiation field of 429 MeV/u carbon ions, allowing the direct calibration of ionization chambers and thus the experimental determination of k Q. Within this work, values for k Q have been determined for the Farmer-type ionization chambers FC65-G and TM30013. A detailed investigation of the radiation field enabled the accurate determination of correction factors needed for both calorimetric and ionometric measurements. Finally, a relative standard measurement uncertainty of 0.8% (k = 1) could be achieved for the experimental k Q values. For both chambers, the experimental k Q factors were found to be about 1% larger than those tabulated in the German DIN 6801-1 protocol, whereas compared to the theoretical values stated in the TRS-398 protocol, the experimental k Q value agrees within 0.4% for the TM30013 chamber but is about 1% lower in the case of the FC65-G chamber.