On the Temperature and Pressure Dependence of a Range of Properties of a Type of Water Model Commonly Used in High-Temperature Protein Unfolding Simulations 

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On the Temperature and Pressure Dependence of a Range of Properties of a Type of Water Model Commonly Used in High-Temperature Protein Unfolding Simulations  Regula Walser, Alan E. Mark, Wilfred F. van Gunsteren  Biophysical Journal  Volume 78, Issue 6, Pages 2752-2760 (June 2000) DOI: 10.1016/S0006-3495(00)76820-2 Copyright © 2000 The Biophysical Society Terms and Conditions

Figure 1 The total, kinetic, potential, van der Waals, and electrostatic energies (in kJ/mol) are shown as a function of temperature for the simulations with constant pressure (×, – – –, p=1 atm=0.061kJ/mol/nm3) and with constant volume (+, ——, ρ=1.0g/cm3=602u/nm3). All quantities are given per molecule. In f the heat of vaporization, calculated with Eq. 4, is compared to the experimental heat of vaporization (□, - - - -) (Marsh, 1987). The lines have been added to guide the eye. Biophysical Journal 2000 78, 2752-2760DOI: (10.1016/S0006-3495(00)76820-2) Copyright © 2000 The Biophysical Society Terms and Conditions

Figure 2 Pressure (p), density (ρ), and free energies (ΔGhyd and ΔAexs) are shown as a function of temperature. In a the pressure is compared to the experimental pressure of water with density 1.00g/cm3 (■, - - - -). The values were taken from Haar et al. (1988). The experimental values for the density were taken from Kell (1967); those above 373K refer to the metastable liquid. The excess free energy ΔAexs (+, ——) is compared with the experimental values (■, - - - -) calculated as described in the text. ΔGhyd (×, – – –) is the hydration free enthalpy. For further explanation see caption of Fig. 1. Biophysical Journal 2000 78, 2752-2760DOI: (10.1016/S0006-3495(00)76820-2) Copyright © 2000 The Biophysical Society Terms and Conditions

Figure 3 Thermal expansion coefficient α and heat capacity CP were calculated from the simulations at constant pressure with Eqs. 2 and 3. The experimental values for α were taken from Kell (1967). The values above 373K refer to the metastable liquid at 1atm. The experimental values for CP were taken from Weast (1976). The average number of hydrogen bonds per molecule (〈nHB〉) is shown as a function of temperature. The hydrogen bond criterion is given in the text. The experimental values obtained by Raman spectroscopy were estimated from the graph in Walrafen (1966); those obtained by energetic considerations were taken from Haggis et al. (1952). For further explanation see caption of Fig. 1. Biophysical Journal 2000 78, 2752-2760DOI: (10.1016/S0006-3495(00)76820-2) Copyright © 2000 The Biophysical Society Terms and Conditions

Figure 4 Box volume of the simulation at 500K with constant pressure (1 atm=0.061kJ/mol/nm3) as a function of time. Biophysical Journal 2000 78, 2752-2760DOI: (10.1016/S0006-3495(00)76820-2) Copyright © 2000 The Biophysical Society Terms and Conditions

Figure 5 Oxygen-oxygen radial distribution function g(r) of the simulations with constant volume (ρ=1.0g/cm3=602u/nm3) for different temperatures. The different curves are vertically shifted by one unit for better visibility. Biophysical Journal 2000 78, 2752-2760DOI: (10.1016/S0006-3495(00)76820-2) Copyright © 2000 The Biophysical Society Terms and Conditions

Figure 6 Oxygen-oxygen radial distribution function g(r) of the simulations with constant pressure (p=1 atm=0.061kJ/mol/nm3) for different temperatures. The different curves are vertically shifted by one unit for better visibility. Biophysical Journal 2000 78, 2752-2760DOI: (10.1016/S0006-3495(00)76820-2) Copyright © 2000 The Biophysical Society Terms and Conditions

Figure 7 The translational diffusion constant (D) and the dipolar rotational correlation times (τl) are shown as a function of temperature. The experimental values for D at atmospheric pressure (□) were taken from Becke (1974), those at the pressure corresponding (according to Haar et al., 1988) to a density ρ of 1.0g/cm3 (■) were taken from Krynicki (1978). The experimental values for τ1 correspond to 23τD and ½τD as described in the text. Values for τD were taken from Collie et al. (1948). For further explanation see caption of Fig. 1. Biophysical Journal 2000 78, 2752-2760DOI: (10.1016/S0006-3495(00)76820-2) Copyright © 2000 The Biophysical Society Terms and Conditions