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Paulijev princip isključenja zabranjuje da dva fermiona u istom kvantnom sustavu budu u istom stanju. Od izrazitog je značaja no njegov uzrok još uvijek nije objasnjen. Zbog njegovog značaja, postoji značajan interes za traženje narušenja tog principa čak i u maloj mjeri. Generalno, traženje narušenja Paulijevog principa može se odviti tako da se traže već postojeći atomi ili jezgre koje krše taj princip ili da se traže prijelazi koji bi kršili Paulijev princip. U ovom diplomskom radu traži se kršenje Paulijeva principa tako da se traže X-zrake koje bi bile karakteristične za zabranjeni prijelaz u olovu. Uz pomoć 2 HPGe detektora mjeri se spektar zračenja olova kroz koje se ne propušta struja i kroz koje se propušta struja. Ukupno vrijeme mjerenja za svaki tip mjerenja iznosi 874 h. Rezultati mjerenja se kalibriraju i zbrajaju. Oduzimaju se zbrojeni grafovi za mjerenja sa strujom i mjerenja bez struje. Očekivana razlika je oko nule no konačna razlika kod rađenih mjerenja nije u tom području te je potrebno ispitati zašto se konačna razlika ne slaže s predviđanjima. Limit za narušenje Paulijeva principa se zbog toga nije računao. The Pauli principle of exclusion forbids for two fermions to be in the same quantum state while there are in the same system. It has significant meaning, but his cause is still not explained. Because of his meaning there is a significant interest in searching for his violation even if it is in a small measure. Generally, search for Pauli principle violation can be done in two ways. There can be a search for atoms or cores that are already violating the principle or there can be a search for forbidden transition that violates the principle. In this dissertation, Pauli principle violation is sought by looking for X-rays that would be characteristic of the forbidden transition in lead. The radiation spectrum of lead through which current is not passed and through which current is passed is measured by using two HPGe detectors. Total measurement time for each type of measurement is 874 h. The measurement results are calibrated and summed. The summed graphs for measurements without current and with current are subtracted. The expected difference is around zero, but the final difference in the measurements is not in this area, so it is necessary to examine why the final difference does not agree with the predictions. The limit for Pauli principle violation was therefore not calculated.

Paulijev princip zabranjuje postojanje dva fermiona u istom stanju. Iako Paulijev princip ima dalekosežne posljedice, njegov uzrok još uvijek nije objašnjen. Što isto tako znači da taj princip može biti određenoj, vrlo maloj mjeri i narušen u nekim reakcijama. Narušenja Paulijevog principa eksperimentalno su istraživana u traženju X-zraka emitiranih u prijelazima elektrona u popunjene ljuske određenih atoma, kao i traženjima gama zraka emitiranih u prijelazima u jezgrama, a koji su inače zabranjeni Paulijevim principom. U diplomskom radu smo HPGe detektorom mjerili spektar x zračenja iz olova kroz koji prolazi određena struja, odnosno postoje dodatni slobodni elektroni koji mogu, u slučaju narušenja Paulijevog principa, emitirati X-zrake određenih energija u slučaju elektronskih prijelaza u popunjeno osnovno stanje olova. Rezultati probnoga mjerenja pokazuju da bi vrijeme potrebno za mjerenje s postojećim eksperimentalnim postavom trebalo biti duže od vremena probnog mjerenja. Koristeći dva HPGe detektora potrebno je ≈ 75 h mjerenja dok je za jedan detektor potrebno ≈ 150 h. The Pauli exclusion principle is the quantum mechanical principle which states that two or more identical fermions cannot occupy the same quantum state within a quantum system simultaneously. Although the Pauli principle has far-reaching consequences, its cause has not been explained yet, which indicates that the principle, in some specific reactions, could be violated to a point. Those instances of Pauli principle violation have been explored experimentally by searching for X-rays released during the electron transitions into filled atomic shells, as well as searching for gamma radiation that would occur in Pauli-prohibited nuclear transitions. These transitions are not allowed by the Pauli exclusion principle. In this graduate thesis we measured the spectrum of X-ray radiation from lead exposed to specific electric current utilizing HPG detectors. Exposure to electric current would allow for the existence of additional, free electrons, which, in case of a violation of the Pauli exclusion principle, could radiate X-rays of a specific energy, caused by electrons transitioning into the filled ground state of lead. The results of the test measurements indicate that the time needed for final testing, with the existing experimental setting, would be longer that the initial testing time. Specifically, utilizing one HPG detector it takes ≈ 150 h for the test. With two HPG detectors the time could be reduced to ≈ 75 h.