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The boson peak and the first sharp diffraction peak in (As2S3)x(GeS2)1βx glasses
The parameters of the boson peak (BP) and the first sharp diffraction peak (FSDP) in (As2S3)x(GeS2)1x glasses measured using high-resolution Raman spectroscopy and high-energy synchrotron X-ray diffraction measurements are examined as a function of x. It has been found that there is no correlation between the positions of BP and FSDP. The BP position shows a nonlinear composition behavior with a maximum at about x = 0.4, whereas the FSDP position changes virtually linearly with x. The intensities of both BP and FSDP show nonlinear composition dependences with the slope changes at x = 0.4, although there is no direct proportionality. Analysis of the partial structure factors for the glasses with x = 0.2, 0.4 and 0.6 obtained in another study has shown that the cation-cation atomic pairs of GeβGe, GeβAs and AsβAs make the largest contribution to FSDP, where the GeβGe and GeβAs pairs are dominant
Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov--Burgers system revisited
We consider the Burgers-type system studied by Foursov, w_t &=& w_{xx} + 8 w
w_x + (2-4\alpha)z z_x, z_t &=& (1-2\alpha)z_{xx} - 4\alpha z w_x +
(4-8\alpha)w z_x - (4+8\alpha)w^2 z + (-2+4\alpha)z^3, (*) for which no
recursion operator or master symmetry was known so far, and prove that the
system (*) admits infinitely many local generalized symmetries that are
constructed using a nonlocal {\em two-term} recursion relation rather than from
a recursion operator.Comment: 10 pages, LaTeX; minor changes in terminology; some references and
definitions adde
Π‘ΠΏΠ΅ΠΊΡΡΡ ΡΠΎΡΠΎ- ΠΈ ΡΠ΅ΡΠΌΠΎΡΡΠΈΠΌΡΠ»ΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠΉ Π»ΡΠΌΠΈΠ½Π΅ΡΡΠ΅Π½ΡΠΈΠΈ Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»Π»ΠΎΠ² CdS[1-x]Se[x], Π΄ΠΈΡΠΏΠ΅ΡΠ³ΠΈΡΠΎΠ²Π°Π½Π½ΡΡ Π² Π±ΠΎΡΠΎΡΠΈΠ»ΠΈΠΊΠ°ΡΠ½ΠΎΠΌ ΡΡΠ΅ΠΊΠ»Π΅
ΠΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½ΠΎ ΡΠΎΡΠΎΠ»ΡΠΌΡΠ½Π΅ΡΡΠ΅Π½ΡΡΡ (Π€Π) Ρ ΡΠ΅ΡΠΌΠΎΡΡΠΈΠΌΡΠ»ΡΠΎΠ²Π°Π½Ρ Π»ΡΠΌΡΠ½Π΅ΡΡΠ΅Π½ΡΡΡ (Π’Π‘Π) Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»ΡΠ² CdS[1-x]Se[x] , Π²ΠΊΡΠ°ΠΏΠ»Π΅Π½ΠΈΡ
Ρ Π±ΠΎΡΠΎΡΠΈΠ»ΡΠΊΠ°ΡΠ½Π΅ ΡΠΊΠ»ΠΎ. ΠΡΡΠΈΠΌΠ°Π½ΠΎ Π·Π°Π»Π΅ΠΆΠ½ΠΎΡΡΡ ΡΠΏΠ΅ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½Π½Ρ ΡΠΌΡΠ³ ΠΏΡΠΈΠΊΡΠ°ΠΉΠΎΠ²ΠΎΡ ΡΠ° ΠΏΠΎΠ²'ΡΠ·Π°Π½ΠΎΡ Π· ΠΏΠΎΠ²Π΅ΡΡ
Π½Π΅Π²ΠΈΠΌΠΈ ΡΡΠ²Π½ΡΠΌΠΈ Π€Π Π²ΡΠ΄ Ρ
ΡΠΌΡΡΠ½ΠΎΠ³ΠΎ ΡΠΊΠ»Π°Π΄Ρ ΡΠ° ΡΠΎΠ·ΠΌΡΡΡ Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»ΡΠ². ΠΠ±Π³ΠΎΠ²ΠΎΡΡΡΡΡΡΡ ΡΡΠ·Π½Π° ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½Π° ΠΏΠΎΠ²Π΅Π΄ΡΠ½ΠΊΠ° Π±ΡΠ»ΡΡ Π²ΠΈΡΠΎΠΊΠΎΠ΅Π½Π΅ΡΠ³Π΅ΡΠΈΡΠ½ΠΎΡ ΡΠΌΡΠ³ΠΈ Π’Π‘Π (ΠΌΠ°ΠΊΡΠΈΠΌΡΠΌ ΠΏΡΠΈ 360-380 K, Π·Π°Π»Π΅ΠΆΠ½ΠΎ Π²ΡΠ΄ ΡΠΊΠ»Π°Π΄Ρ Ρ ΡΠΎΠ·ΠΌΡΡΡ Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»ΡΠ²) Ρ Π½ΠΈΠ·ΡΠΊΠΎΠ΅Π½Π΅ΡΠ³Π΅ΡΠΈΡΠ½ΠΎΡ ΡΠΌΡΠ³ΠΈ (ΡΠΈΡΠΎΠΊΠΈΠΉ ΠΌΠ°ΠΊΡΠΈ-
ΠΌΡΠΌ Π² ΡΠ½ΡΠ΅ΡΠ²Π°Π»Ρ 350-450 K).ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Π° ΡΠΎΡΠΎΠ»ΡΠΌΠΈΠ½Π΅ΡΡΠ΅Π½ΡΠΈΡ (Π€Π) ΠΈ ΡΠ΅ΡΠΌΠΎΡΡΠΈΠΌΡΠ»ΠΈΡΠΎΠ²Π°Π½Π½Π°Ρ Π»ΡΠΌΠΈΠ½Π΅ΡΡΠ΅Π½ΡΠΈΡ (Π’Π‘Π) Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»Π»ΠΎΠ² CdS[1-x]Se[x]x, Π΄ΠΈΡΠΏΠ΅ΡΠ³ΠΈΡΠΎΠ²Π°Π½Π½ΡΡ
Π² Π±ΠΎΡΠΎΡΠΈΠ»ΠΈΠΊΠ°ΡΠ½ΠΎΠΌ ΡΡΠ΅ΠΊΠ»Π΅. ΠΠΎΠ»ΡΡΠ΅Π½Ρ Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΡΠΏΠ΅ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΡ ΠΏΠΎΠ»ΠΎΡ ΠΏΡΠΈΠΊΡΠ°Π΅Π²ΠΎΠΉ ΠΈ ΡΠ²ΡΠ·Π°Π½Π½ΠΎΠΉ Ρ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ½ΡΠΌΠΈ ΡΡΠΎΠ²Π½ΡΠΌΠΈ Π€Π ΠΎΡ Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΎΡΡΠ°Π²Π° ΠΈ ΡΠ°Π·ΠΌΠ΅ΡΠ° Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»Π»ΠΎΠ². ΠΠ±ΡΡΠΆΠ΄Π°Π΅ΡΡΡ ΡΠ°Π·Π½ΠΎΠ΅ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΎΠ΅ ΠΏΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠ΅ Π±ΠΎΠ»Π΅Π΅ Π²ΡΡΠΎΠΊΠΎΡΠ½Π΅ΡΠ³Π΅ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠΎΠ»ΠΎΡΡ Π’Π‘Π (ΠΌΠ°ΠΊΡΠΈΠΌΡΠΌ ΠΏΡΠΈ 360-380 K Π² Π·Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΎΡ ΡΠΎΡΡΠ°Π²Π° ΠΈ ΡΠ°Π·ΠΌΠ΅ΡΠ° Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»Π»ΠΎΠ²) ΠΈ Π½ΠΈΠ·ΠΊΠΎΡΠ½Π΅ΡΠ³Π΅ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠΎΠ»ΠΎΡΡ (ΡΠΈΡΠΎΠΊΠΈΠΉ ΠΌΠ°ΠΊΡΠΈΠΌΡΠΌ Π² ΠΈΠ½ΡΠ΅ΡΠ²Π°Π»Π΅ 350-450 K).Photoluminescence (PL) and thermally stimulated luminescence (TSL) of CdS[1-x]Se[x] nanocrystals embedded in borosilicate glass are studied. The dependence of the spectral positions of the near-edge and surface-mediated PL bands on the nanocrystal composition and size is discussed. A different temperature behaviour
for the higher-energy TSL band (maximum at 360-380 K, dependent of the nanocrystal size and composition) and the lower-energy peak (broad maximum in the range 350-450 K) is discussed
Π‘ΠΏΠ΅ΠΊΡΡΡ ΡΠΎΡΠΎ- ΠΈ ΡΠ΅ΡΠΌΠΎΡΡΠΈΠΌΡΠ»ΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠΉ Π»ΡΠΌΠΈΠ½Π΅ΡΡΠ΅Π½ΡΠΈΠΈ Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»Π»ΠΎΠ² CdS[1-x]Se[x], Π΄ΠΈΡΠΏΠ΅ΡΠ³ΠΈΡΠΎΠ²Π°Π½Π½ΡΡ Π² Π±ΠΎΡΠΎΡΠΈΠ»ΠΈΠΊΠ°ΡΠ½ΠΎΠΌ ΡΡΠ΅ΠΊΠ»Π΅
ΠΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½ΠΎ ΡΠΎΡΠΎΠ»ΡΠΌΡΠ½Π΅ΡΡΠ΅Π½ΡΡΡ (Π€Π) Ρ ΡΠ΅ΡΠΌΠΎΡΡΠΈΠΌΡΠ»ΡΠΎΠ²Π°Π½Ρ Π»ΡΠΌΡΠ½Π΅ΡΡΠ΅Π½ΡΡΡ (Π’Π‘Π) Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»ΡΠ² CdS[1-x]Se[x] , Π²ΠΊΡΠ°ΠΏΠ»Π΅Π½ΠΈΡ
Ρ Π±ΠΎΡΠΎΡΠΈΠ»ΡΠΊΠ°ΡΠ½Π΅ ΡΠΊΠ»ΠΎ. ΠΡΡΠΈΠΌΠ°Π½ΠΎ Π·Π°Π»Π΅ΠΆΠ½ΠΎΡΡΡ ΡΠΏΠ΅ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½Π½Ρ ΡΠΌΡΠ³ ΠΏΡΠΈΠΊΡΠ°ΠΉΠΎΠ²ΠΎΡ ΡΠ° ΠΏΠΎΠ²'ΡΠ·Π°Π½ΠΎΡ Π· ΠΏΠΎΠ²Π΅ΡΡ
Π½Π΅Π²ΠΈΠΌΠΈ ΡΡΠ²Π½ΡΠΌΠΈ Π€Π Π²ΡΠ΄ Ρ
ΡΠΌΡΡΠ½ΠΎΠ³ΠΎ ΡΠΊΠ»Π°Π΄Ρ ΡΠ° ΡΠΎΠ·ΠΌΡΡΡ Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»ΡΠ². ΠΠ±Π³ΠΎΠ²ΠΎΡΡΡΡΡΡΡ ΡΡΠ·Π½Π° ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½Π° ΠΏΠΎΠ²Π΅Π΄ΡΠ½ΠΊΠ° Π±ΡΠ»ΡΡ Π²ΠΈΡΠΎΠΊΠΎΠ΅Π½Π΅ΡΠ³Π΅ΡΠΈΡΠ½ΠΎΡ ΡΠΌΡΠ³ΠΈ Π’Π‘Π (ΠΌΠ°ΠΊΡΠΈΠΌΡΠΌ ΠΏΡΠΈ 360-380 K, Π·Π°Π»Π΅ΠΆΠ½ΠΎ Π²ΡΠ΄ ΡΠΊΠ»Π°Π΄Ρ Ρ ΡΠΎΠ·ΠΌΡΡΡ Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»ΡΠ²) Ρ Π½ΠΈΠ·ΡΠΊΠΎΠ΅Π½Π΅ΡΠ³Π΅ΡΠΈΡΠ½ΠΎΡ ΡΠΌΡΠ³ΠΈ (ΡΠΈΡΠΎΠΊΠΈΠΉ ΠΌΠ°ΠΊΡΠΈ-
ΠΌΡΠΌ Π² ΡΠ½ΡΠ΅ΡΠ²Π°Π»Ρ 350-450 K).ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Π° ΡΠΎΡΠΎΠ»ΡΠΌΠΈΠ½Π΅ΡΡΠ΅Π½ΡΠΈΡ (Π€Π) ΠΈ ΡΠ΅ΡΠΌΠΎΡΡΠΈΠΌΡΠ»ΠΈΡΠΎΠ²Π°Π½Π½Π°Ρ Π»ΡΠΌΠΈΠ½Π΅ΡΡΠ΅Π½ΡΠΈΡ (Π’Π‘Π) Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»Π»ΠΎΠ² CdS[1-x]Se[x]x, Π΄ΠΈΡΠΏΠ΅ΡΠ³ΠΈΡΠΎΠ²Π°Π½Π½ΡΡ
Π² Π±ΠΎΡΠΎΡΠΈΠ»ΠΈΠΊΠ°ΡΠ½ΠΎΠΌ ΡΡΠ΅ΠΊΠ»Π΅. ΠΠΎΠ»ΡΡΠ΅Π½Ρ Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΡΠΏΠ΅ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΡ ΠΏΠΎΠ»ΠΎΡ ΠΏΡΠΈΠΊΡΠ°Π΅Π²ΠΎΠΉ ΠΈ ΡΠ²ΡΠ·Π°Π½Π½ΠΎΠΉ Ρ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ½ΡΠΌΠΈ ΡΡΠΎΠ²Π½ΡΠΌΠΈ Π€Π ΠΎΡ Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΎΡΡΠ°Π²Π° ΠΈ ΡΠ°Π·ΠΌΠ΅ΡΠ° Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»Π»ΠΎΠ². ΠΠ±ΡΡΠΆΠ΄Π°Π΅ΡΡΡ ΡΠ°Π·Π½ΠΎΠ΅ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΎΠ΅ ΠΏΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠ΅ Π±ΠΎΠ»Π΅Π΅ Π²ΡΡΠΎΠΊΠΎΡΠ½Π΅ΡΠ³Π΅ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠΎΠ»ΠΎΡΡ Π’Π‘Π (ΠΌΠ°ΠΊΡΠΈΠΌΡΠΌ ΠΏΡΠΈ 360-380 K Π² Π·Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΎΡ ΡΠΎΡΡΠ°Π²Π° ΠΈ ΡΠ°Π·ΠΌΠ΅ΡΠ° Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»Π»ΠΎΠ²) ΠΈ Π½ΠΈΠ·ΠΊΠΎΡΠ½Π΅ΡΠ³Π΅ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠΎΠ»ΠΎΡΡ (ΡΠΈΡΠΎΠΊΠΈΠΉ ΠΌΠ°ΠΊΡΠΈΠΌΡΠΌ Π² ΠΈΠ½ΡΠ΅ΡΠ²Π°Π»Π΅ 350-450 K).Photoluminescence (PL) and thermally stimulated luminescence (TSL) of CdS[1-x]Se[x] nanocrystals embedded in borosilicate glass are studied. The dependence of the spectral positions of the near-edge and surface-mediated PL bands on the nanocrystal composition and size is discussed. A different temperature behaviour
for the higher-energy TSL band (maximum at 360-380 K, dependent of the nanocrystal size and composition) and the lower-energy peak (broad maximum in the range 350-450 K) is discussed