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Selective Exciation of Branched Vibrational Ladder in Uranium Hexafluoride Laser Isotope Separation.

Mitsutoshi Suzuki, Yasuaki Miyamoto, Makoto Hasegawa, Yoshihiro Shimazaki

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Abstract

Abstract Theoretical investigation was made on the dynamics of initial excitation process in molecular laser isotope separation for uranium hexafluoride (UF6) based on the generalized N-level density-matrix equation derived by Goodman et al. Branched vibrational model due to anharmonic-splitting components for the v 3 mode of UF6 molecule were formalized and phase interferences of density-matrix elements were considered to analyze the selective excitation. Because of a power-broadening effect, no more than 0.05 J/cm2 fluence of a laser pulse completely masks high enrichment peaks in broadband (δ=2GHz) pumping case. Even when matching the laser frequency with v 3 band (n=0→1) of 238UF6, the enrichment factor (α ≡R product/R feed) R≡[235UF6]/[238UF6]; R is the abundance ratio and [ ] means the mole fraction.) does not decrease. A narrow spectral linewidth (δ=400 MHz) is shown to be essential to achieve a high concentration ratio in the system with a branched N-level ladder as expected from a general two-level system. The exciting frequency, which does not necessarily accord with the v 3 band of 235UF6, gives the maximum enrichment peak. Both the detuning of the optimum frequency and the sharp enrichment peak suggest a direct excitation due to multiphoton resonance. Spectral stability of the laser pulse is also required to excite only the desired isotope for the system with complicated anharmonic-splittings. KEYWORDS: excitationlaser isotope separationuranium hexafluoridevibrational modesinfrared multiple photon dissociationdensity-matrix equationenrichment factoranharmonic-splitting

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Abstract Theoretical investigation was made on the dynamics of initial excitation process in molecular laser isotope separation for uranium hexafluoride (UF6) based on the generalized N-level density-matrix equation derived by Goodman et al. Branched vibrational model due to anharmonic-splitting components for the v 3 mode of UF6 molecule were formalized and phase interferences of density-matrix elements were considered to analyze the selective excitation. Because of a power-broadening effect, no more than 0.05 J/cm2 fluence of a laser pulse completely masks high enrichment peaks in broadband (δ=2GHz) pumping case. Even when matching the laser frequency with v 3 band (n=0→1) of 238UF6, the enrichment factor (α ≡R product/R feed) R≡[235UF6]/[238UF6]; R is the abundance ratio and [ ] means the mole fraction.) does not decrease. A narrow spectral linewidth (δ=400 MHz) is shown to be essential to achieve a high concentration ratio in the system with a branched N-level ladder as expected from a general two-level system. The exciting frequency, which does not necessarily accord with the v 3 band of 235UF6, gives the maximum enrichment peak. Both the detuning of the optimum frequency and the sharp enrichment peak suggest a direct excitation due to multiphoton resonance. Spectral stability of the laser pulse is also required to excite only the desired isotope for the system with complicated anharmonic-splittings. KEYWORDS: excitationlaser isotope separationuranium hexafluoridevibrational modesinfrared multiple photon dissociationdensity-matrix equationenrichment factoranharmonic-splitting

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Available abstract

Abstract Theoretical investigation was made on the dynamics of initial excitation process in molecular laser isotope separation for uranium hexafluoride (UF6) based on the generalized N-level density-matrix equation derived by Goodman et al. Branched vibrational model due to anharmonic-splitting components for the v 3 mode of UF6 molecule were formalized and phase interferences of density-matrix elements were considered to analyze the selective excitation. Because of a power-broadening effect, no more than 0.05 J/cm2 fluence of a laser pulse completely masks high enrichment peaks in broadband (δ=2GHz) pumping case. Even when matching the laser frequency with v 3 band (n=0→1) of 238UF6, the enrichment factor (α ≡R product/R feed) R≡[235UF6]/[238UF6]; R is the abundance ratio and [ ] means the mole fraction.) does not decrease. A narrow spectral linewidth (δ=400 MHz) is shown to be essential to achieve a high concentration ratio in the system with a branched N-level ladder as expected from a general two-level system. The exciting frequency, which does not necessarily accord with the v 3 band of 235UF6, gives the maximum enrichment peak. Both the detuning of the optimum frequency and the sharp enrichment peak suggest a direct excitation due to multiphoton resonance. Spectral stability of the laser pulse is also required to excite only the desired isotope for the system with complicated anharmonic-splittings. KEYWORDS: excitationlaser isotope separationuranium hexafluoridevibrational modesinfrared multiple photon dissociationdensity-matrix equationenrichment factoranharmonic-splitting

Key concepts: Uranium hexafluoride, Isotope separation, Uranium, Chemistry, Isotope, Radiochemistry, Isotopes of uranium, Uranium-235

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