Araştırma Makalesi
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Pippard relations for cubic gauche nitrogen

Yıl 2016, Cilt: 17 Sayı: 4, 741 - 746, 01.12.2016
https://doi.org/10.18038/aubtda.267113

Öz

The Pippard relations (CP vs. aP and aP vs. kT) are examined
at various temperatures up to 1200 K at zero pressure (P = 0) for the cubic
gauche nitrogen. The specific heat (CP) is related to the thermal
expansion (
aP) and
the
aP is
also related to the isothermal compressibility (
kT) as
the Pippard relations for this solid structure. For those relations,
experimental data are used from the literature. It is found that the variation
of the CP with the
aP and aP with the
kT is
linear. Using the linear relations dP/dT is predicted, which can be compared
with the experimental measurements in the P – T phase diagram of cubic gauche
nitrogen.

Kaynakça

  • [1] Schuch AF, Mills RI. Crystal structures of the three modifications of nitrogen 14 and nitrogen 15 at high pressure. J Chem Phys 1970; 52: 6000.
  • [2] Lesar R, Ekberg S, Jones L, Mills R. Raman spectroscopy of solid nitrogen up to 374 kbar. Solid State Commun 1979; 32: 131.
  • [3] Mills RL, Olinger B, Cromer DT. Structures and phase diagrams of N2and CO to 13 GPa by X-ray diffraction. J Chem Phys 1986; 84: 2837.
  • [4] Belak J, Lesar R, Etters RD. Calculated thermodynamic properties and phase transitions of solid N2 at temperatures 0≤T≤300 K and pressures 0≤P≤100 GPa. J Chem Phys 1990; 92: 5430.
  • [5] Schneider H, Hafner W, Wokaun A, Olijnyk H. Room temperature Raman scattering studies of external and internal modes of solid nitrogen at pressures 8≤P≤54 GPa. J Chem Phys 1992; 96: 8046.
  • [6] Gregoryanz E, Goncharov AF, Hemley RJ, Mao HK, Somayazulu M, Shen G. Raman, infrared and X-ray evidence for new phases of nitrogen at high pressures and temperatures. Phys Rev B 2002; 66: 224108.
  • [7] Mukherjee GD, Boehler R. High-pressure melting curve of nitrogen and the liquid-liquid phase transition. Phys Rev Lett 2007; 99: 225701.
  • [8] McMahan AK, Lesar R. Pressure dissociation of solid nitrogen under 1Mbar. Phys Rev Lett 1985; 54: 1929.
  • [9] Gregoryanz E, Goncharov AF, Hemley RJ, Mao HK. High pressure amorphous nitrogen. Phys Rev B 2001; 64: 052103.
  • [10] Goncharov AF, Gregoryanz E, Mao HK, Liu Z, Hemley RJ. Optical evidence for a nonmolecular phase of nitrogen above 150 GPa. Phys Rev Lett 2000; 85: 1262.
  • [11] Mailhiot C, Yang LH, McMahan AK. Polymeric nitrogen. PhysRev B 1992; 46: 14419.
  • [12] Eremets MI, Gavriliuk AG, Trojan IA, Dzivenko DA, Boehler R. Single-bonded cubic form of nitrogen. Nature Mater 2004; 3: 558.
  • [13] Eremets MI, Gavriliuk AG, Trojan IA. Single –crystalline polymeric nitrogen. App Phys Lett 2007; 90: 171904.
  • [14] Martin RM, Needs RJ. Theoretical study of the molecular-to-non molecular transformation of nitrogen at high pressures. Phys Rev B 1986; 34: 5082.
  • [15] Caracas R. Raman spectra and lattice dynamics of cubic gauche nitrogen. J Chem Phys 2007; 127: 144510.
  • [16] Pippard AB. The Elements of Classical Thermodynamics, Cambridge University Press, New York, 1957.
  • [17] Caracas R, Hemley RJ. New structures of dense nitrogen: path ways to the polymeric phase. Chem Phys Lett 2007; 442: 65.
  • [18] Nordlund K, Krasheninnikov A, Juslin N, Nord J, Albe K. Structure and stability of non-molecular nitrogen at ambient pressure. Europhys Lett 2004; 65: 400.
  • [19] Zhang T, Zhang S, Chen Q, Pheng LM. Metastability of single-bonded cubic gauche structure of N under ambient pressure. Phys Rev B 2006; 73: 094105.
  • [20] Yu HL, Yang GW, Yan XH, Xiao Y, Mao YL, Yang YR, Cheng MX. First principles calculations of the single-bonded cubic phase of nitrogen. Phys Rev B 2006; 73: 012101.
Yıl 2016, Cilt: 17 Sayı: 4, 741 - 746, 01.12.2016
https://doi.org/10.18038/aubtda.267113

Öz

Kaynakça

  • [1] Schuch AF, Mills RI. Crystal structures of the three modifications of nitrogen 14 and nitrogen 15 at high pressure. J Chem Phys 1970; 52: 6000.
  • [2] Lesar R, Ekberg S, Jones L, Mills R. Raman spectroscopy of solid nitrogen up to 374 kbar. Solid State Commun 1979; 32: 131.
  • [3] Mills RL, Olinger B, Cromer DT. Structures and phase diagrams of N2and CO to 13 GPa by X-ray diffraction. J Chem Phys 1986; 84: 2837.
  • [4] Belak J, Lesar R, Etters RD. Calculated thermodynamic properties and phase transitions of solid N2 at temperatures 0≤T≤300 K and pressures 0≤P≤100 GPa. J Chem Phys 1990; 92: 5430.
  • [5] Schneider H, Hafner W, Wokaun A, Olijnyk H. Room temperature Raman scattering studies of external and internal modes of solid nitrogen at pressures 8≤P≤54 GPa. J Chem Phys 1992; 96: 8046.
  • [6] Gregoryanz E, Goncharov AF, Hemley RJ, Mao HK, Somayazulu M, Shen G. Raman, infrared and X-ray evidence for new phases of nitrogen at high pressures and temperatures. Phys Rev B 2002; 66: 224108.
  • [7] Mukherjee GD, Boehler R. High-pressure melting curve of nitrogen and the liquid-liquid phase transition. Phys Rev Lett 2007; 99: 225701.
  • [8] McMahan AK, Lesar R. Pressure dissociation of solid nitrogen under 1Mbar. Phys Rev Lett 1985; 54: 1929.
  • [9] Gregoryanz E, Goncharov AF, Hemley RJ, Mao HK. High pressure amorphous nitrogen. Phys Rev B 2001; 64: 052103.
  • [10] Goncharov AF, Gregoryanz E, Mao HK, Liu Z, Hemley RJ. Optical evidence for a nonmolecular phase of nitrogen above 150 GPa. Phys Rev Lett 2000; 85: 1262.
  • [11] Mailhiot C, Yang LH, McMahan AK. Polymeric nitrogen. PhysRev B 1992; 46: 14419.
  • [12] Eremets MI, Gavriliuk AG, Trojan IA, Dzivenko DA, Boehler R. Single-bonded cubic form of nitrogen. Nature Mater 2004; 3: 558.
  • [13] Eremets MI, Gavriliuk AG, Trojan IA. Single –crystalline polymeric nitrogen. App Phys Lett 2007; 90: 171904.
  • [14] Martin RM, Needs RJ. Theoretical study of the molecular-to-non molecular transformation of nitrogen at high pressures. Phys Rev B 1986; 34: 5082.
  • [15] Caracas R. Raman spectra and lattice dynamics of cubic gauche nitrogen. J Chem Phys 2007; 127: 144510.
  • [16] Pippard AB. The Elements of Classical Thermodynamics, Cambridge University Press, New York, 1957.
  • [17] Caracas R, Hemley RJ. New structures of dense nitrogen: path ways to the polymeric phase. Chem Phys Lett 2007; 442: 65.
  • [18] Nordlund K, Krasheninnikov A, Juslin N, Nord J, Albe K. Structure and stability of non-molecular nitrogen at ambient pressure. Europhys Lett 2004; 65: 400.
  • [19] Zhang T, Zhang S, Chen Q, Pheng LM. Metastability of single-bonded cubic gauche structure of N under ambient pressure. Phys Rev B 2006; 73: 094105.
  • [20] Yu HL, Yang GW, Yan XH, Xiao Y, Mao YL, Yang YR, Cheng MX. First principles calculations of the single-bonded cubic phase of nitrogen. Phys Rev B 2006; 73: 012101.
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Araştırma Makalesi
Yazarlar

Hamit Yurtseven

Özgecan Tiryaki Bu kişi benim

Ozlem Tari

Yayımlanma Tarihi 1 Aralık 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 17 Sayı: 4

Kaynak Göster

APA Yurtseven, H., Tiryaki, Ö., & Tari, O. (2016). Pippard relations for cubic gauche nitrogen. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering, 17(4), 741-746. https://doi.org/10.18038/aubtda.267113
AMA Yurtseven H, Tiryaki Ö, Tari O. Pippard relations for cubic gauche nitrogen. AUBTD-A. Aralık 2016;17(4):741-746. doi:10.18038/aubtda.267113
Chicago Yurtseven, Hamit, Özgecan Tiryaki, ve Ozlem Tari. “Pippard Relations for Cubic Gauche Nitrogen”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 17, sy. 4 (Aralık 2016): 741-46. https://doi.org/10.18038/aubtda.267113.
EndNote Yurtseven H, Tiryaki Ö, Tari O (01 Aralık 2016) Pippard relations for cubic gauche nitrogen. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 17 4 741–746.
IEEE H. Yurtseven, Ö. Tiryaki, ve O. Tari, “Pippard relations for cubic gauche nitrogen”, AUBTD-A, c. 17, sy. 4, ss. 741–746, 2016, doi: 10.18038/aubtda.267113.
ISNAD Yurtseven, Hamit vd. “Pippard Relations for Cubic Gauche Nitrogen”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 17/4 (Aralık 2016), 741-746. https://doi.org/10.18038/aubtda.267113.
JAMA Yurtseven H, Tiryaki Ö, Tari O. Pippard relations for cubic gauche nitrogen. AUBTD-A. 2016;17:741–746.
MLA Yurtseven, Hamit vd. “Pippard Relations for Cubic Gauche Nitrogen”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering, c. 17, sy. 4, 2016, ss. 741-6, doi:10.18038/aubtda.267113.
Vancouver Yurtseven H, Tiryaki Ö, Tari O. Pippard relations for cubic gauche nitrogen. AUBTD-A. 2016;17(4):741-6.