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4c). Correspondingly, the vitality period pertaining to photo-excited openings can be EF??��PI3K inhibitor �This� �dynamic� �electric� �field� �creates� �oscillating� �electric� �currents� �that� �hit� �the� �walls� �of the� �slab�. �Therefore�, �the� Fermi �gas� �becomes� �strongly� perturbed �and we� �can expect� �a significant� �number of� electrons �with� �large� �energies�. �The� electron �distribution� �calculated� �by using the� �theory� �developed in� Ref. [42] �confirms� �our� �expectation� ( Fig. 5b). �Moreover�, �the number of� �highly� �excited� electrons �is large� �only for� �relatively� �small sizes� �L� ?NC. �With� �increasing� �L� ?NC, �the number of� electrons �with� �large� excitation �energies� �decreases� �rapidly� �and� �already� �for� �L� ?NC?=?40?nm buy Bosutinib �the� electron �distribution� �resembles� �the bulk� plasmon ( Fig. 5b). �To� qualitatively �explain� �this� �behavior�, �we look� �now� �at the� electron excitation �of a� quantized �system�. �In a� nanocrystal �with a� quantized �motion� �along the� �z� ?-direction, �the� electrons �spectrum� �takes� �the form of� �En�,�k�||=?2��2n22m0LNC2+?2k||22m0,�where� �n� ? �is the� �quantum� �number� �for the� �z� ?-motion �and� �k�|| �is the� electron �momentum� �in the� �plane� �of a� �slab�. �A� photon �excites� �an� electron �from the� �state� |n��n �to the� �state� |n�䡵n�� �and the� �change in� �the� electron �number� �can only� �be� �odd�, ��n ??=?1,�3�,�5�,��, �due to the� �parity�. �Then�, �the� �characteristic� �energy� �of� electron excitations �in a� �confined� �system is� �given by� �the� �equation� �equation�(4��) ��E=En+��n+En��?2��2n?��nm0LNC2??vF�Ц�nLNC,?��n=�1�,�3�,�5�,��,�assuming� �Ц�n/LNCDabigatran ��k=�Ц�nLNC=��n?kL �where� ��n ? �can be a� �large number� �and� �k� ?L?=?��/L ?NC �is the� �characteristic� �change� �of� electron �momentum� �due to the� �NC� confinement. �Since� ��n ? �can be� �large�, �this� �momentum� �transfer� �from the� nanocrystal �to� �single� electrons �permits� �efficient� excitation �of� electrons �with� �energies� �in the� �whole� �interval� EF?��ncritical, the place that the vital number is given through the issue [42] ?vF�Ц�ncriticalLNC=?��.