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.
📌 3 Key Takeaways
🎯
Objective & Hypothesis:The Pippard relations (CP vs. ?P and ?P vs. ?T) are examined at various temperatures up to 1200 K at zero pressure (P = 0) for the cubic gauche nitrogen.
📊
Key Findings & Data:The specific heat (CP) is related to the thermal expansion (?P) and the ?P is also related to the isothermal compressibility (?T) as the Pippard relations for this solid structure.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
The Pippard relations (CP vs. ?P and ?P vs. ?T) 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 (?P) and the ?P is also related to the isothermal compressibility (?T) 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 ?P and ?P with the ?T 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.
🔖
Cite This Article
TARI, Ö., TİRYAKİ, Ö., YURTSEVEN, H. (2022). PIPPARD RELATIONS FOR CUBIC GAUCHE NITROGEN. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik, Cilt: 17 - Sayı: 4, 741–746. https://ajindex.com/articles/438350
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. Lesar R, Ekberg S, Jones L, Mills R. Raman spectroscopy of solid nitrogen up to 374 kbar. Solid State Commun 1979; 32: 131. 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. 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. 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. 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: Mukherjee GD, Boehler R. High-pressure melting curve of nitrogen and the liquid-liquid phase transition. Phys Rev Lett 2007; 99: 225701. McMahan AK, Lesar R. Pressure dissociation of solid nitrogen under 1Mbar. Phys Rev Lett 1985;: 1929.
Gregoryanz E, Goncharov AF, Hemley RJ, Mao HK. High pressure amorphous nitrogen. Phys Rev B 2001; 64: 052103. 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. Mailhiot C, Yang LH, McMahan AK. Polymeric nitrogen. PhysRev B 1992; 46: 14419. Eremets MI, Gavriliuk AG, Trojan IA, Dzivenko DA, Boehler R. Single-bonded cubic form of nitrogen. Nature Mater 2004; 3: 558. Eremets MI, Gavriliuk AG, Trojan IA. Single -crystalline polymeric nitrogen. App Phys Lett; 90: 171904.
Martin RM, Needs RJ. Theoretical study of the molecular-to-non molecular transformation of nitrogen at high pressures. Phys Rev B 1986; 34: 5082. Caracas R. Raman spectra and lattice Dynamics of cubic gauche nitrogen. J Chem Phys 2007;: 144510. Pippard AB. The Elements of Classical Thermodynamics, Cambridge University Press,
Newyork, Caracas R, Hemley RJ. New structures of dense nitrogen: path ways to the polymeric phase. Chem Phys Lett 2007; 442: 65. 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. Zhang T, Zhang S, Chen Q, Pheng LM. Metastability of single-bonded cubic gauche struc