Chin. Phys. Lett.  2003, Vol. 20 Issue (2): 180-182    DOI:
Original Articles |
Simple Analytic Expression with High Precision for the Barker-Henderson Diameter
SUN Jiu-Xun
Department of Applied Physics, University of Electronic Science and Technology, Chengdu 610054
Cite this article:   
SUN Jiu-Xun 2003 Chin. Phys. Lett. 20 180-182
Download: PDF(305KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract A fitting procedure is proposed to establish two analytic approximate expressions for the complicated Barker-Henderson (BH) diameter with Lennard-Jones potential in two temperature ranges. Considering that the differentiation is a process enlarging the errors and the integration decreasing the errors and that the derivative of BH diameter is important in the calculation of internal energy, we propose to fit the derivative directly, instead of usually fitting the original function and subsequently deriving its derivative. The simplicity and precision of two expressions developed are superior to the extensively used expressions in literature. The one with following form only has an average fitting 0.0063% in the reduced temperature range (0.4 ≤ kT/ε ≤ 15), and can be extrapolated to a wider temperature range (0.4 ≤ kT/ε ≤ 50) with an average error 0.13%, which is d /σ = 1.1755 + 0.02878lnτ -0.2072τ1/4+ 0.00463τ3/4.

Keywords: 02.60.Ed      64.10.+h      64.90.+b     
Published: 01 February 2003
PACS:  02.60.Ed (Interpolation; curve fitting)  
  64.10.+h (General theory of equations of state and phase equilibria)  
  64.90.+b (Other topics in equations of state, phase equilibria, and phase transitions)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2003/V20/I2/0180
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
SUN Jiu-Xun
Related articles from Frontiers Journals
[1] BAI Li-Gang, LIU Jing. Equation of State and Elastic Constants of Compressed fcc Cu[J]. Chin. Phys. Lett., 2010, 27(3): 180-182
[2] HU Jia-Wen, YU Yang-Xin. Prediction and Refinement of High-Order Virial Coefficients for a Hard-Sphere System[J]. Chin. Phys. Lett., 2009, 26(8): 180-182
[3] WANG Xiao-Lu, GAO Xiang, MA Gui-Cun, YAN Jun, ZHANG Wen-Qing, LI Jia-Ming,. Ultrahigh-Pressure Equation of State for Copper at 0K[J]. Chin. Phys. Lett., 2008, 25(9): 180-182
[4] SUN Yu-Huai, HUANG Hai-Jun, LIU Fu-Sheng, YANG Mei-Xia, JING Fu-Qian,. A Direct Comparison between Static and Dynamic Melting Temperature Determinations below 100GPa[J]. Chin. Phys. Lett., 2005, 22(8): 180-182
[5] ZHANG Xu-Ming, QIAN Wei-Liang, SU Ru-Keng. Liquid-Gas Phase Transition for Asymmetric Nuclear Matter in the Zimanyi-Moszkowski Model[J]. Chin. Phys. Lett., 2004, 21(7): 180-182
[6] HUA Cun-Cai, LIU Yan-Zhu. Bifurcation, Bi-instability and Area Principle for the Solitary Waves of the Nonlinear Wave Equation with Quartic Polynomial Potential[J]. Chin. Phys. Lett., 2002, 19(7): 180-182
[7] MENG Chuan-Min, SHI Shang-Chun, DONG Shi, SUN Yue, JIAO Rong-Zhen, YANG Xiang-Dong. Equation of State of Dense Liquid Nitrogen in the Region of the Dissociative Phase Transition[J]. Chin. Phys. Lett., 2002, 19(2): 180-182
[8] WANG Yi, SUN Yun-Feng. Thermodynamic Properties of Sodium: A First-Principles Study[J]. Chin. Phys. Lett., 2001, 18(7): 180-182
[9] YAO Yu-cui. The “Cigar” Type of Solid-Liquid Phase Transition of the Two-Dimensional Ternary System[J]. Chin. Phys. Lett., 1997, 14(3): 180-182
[10] LIU Yunpeng, ZHENG Maosheng. STUDY OF PHASE BOUNDARIES FOR SITE-BOND PERCOLATION[J]. Chin. Phys. Lett., 1990, 7(5): 180-182
Viewed
Full text


Abstract