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    Raman and XPS analyses of pristine and annealed N-doped double-walled carbon nanotubes

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    N-doped single/multi-walled carbon nanotubes (CNTs) were studied for long time from synthesis to properties. However, the stability of N in the CNT lattice still needs further developments. In this work, to obtain more stable N-doped CNTs, concentric double-walled (DW) CNTs with more N were synthesized using benzylamine as C and N source. In order to test the stability of N-doped DWCNTs, high-temperature annealing in vacuum was performed. By XPS and Raman spectroscopic measurements, we found that the N-doped DWCNTs are still stable under 1500 \,^{\circ}\mathrm{C}: the graphitic N does not change at all, the molecular N is partly removed, and the pyridinic N ratio greatly increases by more than two times. The reason could be that the N atoms from the surrounded N-contained materials combine into the CNT lattice during the annealing. Compared with the undoped DWCNTs, no Raman frequency shift was observed for the RBM, the G-band, and the G'-band of the N-doped DWCNTs.Comment: 6 pages, 5 figure

    ΠšΡ€ΠΎΡΡ-мировая прСдикация: Ρ‚Π΅ΠΎΡ€Π΅Ρ‚ΠΈΠΊΠΎ-типовая ΠΈ Ρ‚Π΅ΠΎΡ€Π΅Ρ‚ΠΈΠΊΠΎ-мноТСствСнная формализация

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    The paper examines some potential problems of the theory of cross-world predication by E. Borisov and suggests alternative formalizations in terms of type theory with dependent types and set theory. The advantage of the type-theoretical formalization lies in its simplicity based on the presence of functions to dependent types. The advantage of the proposed set- theoretical formalization is a greater closeness to traditional approaches and the lack of some non-intuitive effects such as the predication on non-existing objectsΠ’ ΡΡ‚Π°Ρ‚ΡŒΠ΅ ΠΎΠΏΠΈΡΡ‹Π²Π°ΡŽΡ‚ΡΡ Π½Π΅ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Π΅ ΠΏΠΎΡ‚Π΅Π½Ρ†ΠΈΠ°Π»ΡŒΠ½Ρ‹Π΅ ΠΏΡ€ΠΎΠ±Π»Π΅ΠΌΡ‹ Ρ‚Π΅ΠΎΡ€ΠΈΠΈ кросс-ΠΌΠΈΡ€ΠΎΠ²ΠΎΠΉ ΠΏΡ€Π΅Π΄ΠΈΠΊΠ°Ρ†ΠΈΠΈ Π•. Борисова ΠΈ ΠΏΡ€Π΅Π΄Π»Π°Π³Π°ΡŽΡ‚ΡΡ Π°Π»ΡŒΡ‚Π΅Ρ€Π½Π°Ρ‚ΠΈΠ²Π½Ρ‹Π΅ Ρ„ΠΎΡ€ΠΌΠ°Π»ΠΈΠ·Π°Ρ†ΠΈΠΈ Π² Ρ‚Π΅Ρ€ΠΌΠΈΠ½Π°Ρ… Ρ‚Π΅ΠΎΡ€ΠΈΠΈ Ρ‚ΠΈΠΏΠΎΠ² с зависимыми Ρ‚ΠΈΠΏΠ°ΠΌΠΈ ΠΈ Ρ‚Π΅ΠΎΡ€ΠΈΠΈ мноТСств. ΠŸΡ€Π΅ΠΈΠΌΡƒΡ‰Π΅ΡΡ‚Π²ΠΎ Ρ‚Π΅ΠΎΡ€Π΅Ρ‚ΠΈΠΊΠΎ-Ρ‚ΠΈΠΏΠΎΠ²ΠΎΠΉ Ρ„ΠΎΡ€ΠΌΠ°Π»ΠΈΠ·Π°Ρ†ΠΈΠΈ состоит Π² Π΅Ρ‘ простотС, связанной с Π½Π°Π»ΠΈΡ‡ΠΈΠ΅ΠΌ Π² Ρ‚Π΅ΠΎΡ€ΠΈΠΈ Ρ‚ΠΈΠΏΠΎΠ² Ρ„ΡƒΠ½ΠΊΡ†ΠΈΠΉ Π² зависимыС Ρ‚ΠΈΠΏΡ‹. ΠŸΡ€Π΅ΠΈΠΌΡƒΡ‰Π΅ΡΡ‚Π²ΠΎ ΠΏΡ€Π΅Π΄Π»Π°Π³Π°Π΅ΠΌΠΎΠΉ Ρ‚Π΅ΠΎΡ€Π΅Ρ‚ΠΈΠΊΠΎ-мноТСствСнной Ρ„ΠΎΡ€ΠΌΠ°Π»ΠΈΠ·Π°Ρ†ΠΈΠΈ состоит Π² большСй близости ΠΊ Ρ‚Ρ€Π°Π΄ΠΈΡ†ΠΈΠΎΠ½Π½Ρ‹ΠΌ ΠΏΠΎΠ΄Ρ…ΠΎΠ΄Π°ΠΌ ΠΈ отсутствии Π½Π΅ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Ρ… Π½Π΅ΠΈΠ½Ρ‚ΡƒΠΈΡ‚ΠΈΠ²Π½Ρ‹Ρ… слСдствий, Ρ‚Π°ΠΊΠΈΡ… ΠΊΠ°ΠΊ прСдикация ΠΏΠΎ Π½Π΅ΡΡƒΡ‰Π΅ΡΡ‚Π²ΡƒΡŽΡ‰ΠΈΠΌ ΠΎΠ±ΡŠΠ΅ΠΊΡ‚Π°ΠΌ
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