File:Vapor pressure ice supercooled water.svg

Summary

Description
English: Saturation pressure of water vapor with respect to supercooled liquid water (dotted line) and ice (solid line), in the range of -50°C to 0°C.
Date
Source

Own work

Formulae (7) and (10) from D. M. Murphy and T. Koop: "Review of the vapour pressures of ice and supercooled water for atmospheric applications", Q. J. R. Meteorol. Soc. 131 (2005), pp. 1539–1565, doi:10.1256/qj.04.94
Author Földhegy
Other versions
Difference of the two curves
SVG development
InfoField
 
The source code of this SVG is invalid due to an error.
 
This W3C-invalid plot was created with Matplotlib.
Category:Invalid SVG created with Matplotlib code#1000Vapor%20pressure%20ice%20supercooled%20water.svg
 
The file size of this SVG plot may be irrationally large because its text has been converted to paths inhibiting translations.
Category:Path text SVG
Source code
InfoField

Python code

import numpy as np
import matplotlib.pyplot as plt
# Vapor pressure of ice and supercooled water (Temperature T in K)
def p_ice(T):
    return np.exp(9.550426-5723.265/T+3.53068*np.log(T)-0.00728332*T)
def p_liq(T):
    ln_p_liq=54.842763-6763.22/T-4.210*np.log(T)+0.000367*T+np.tanh(0.0415*(T-218.8))*(53.878-1331.22/T-9.44523*np.log(T)+0.014025*T)
    return np.exp(ln_p_liq)

T1=-50
T2=0
ls=np.linspace(T1,T2,500)
fig,ax=plt.subplots(figsize=(7,4.1))
ax.plot(ls,p_ice(ls+273.15),'k-',label='Ice')
ax.plot(ls,p_liq(ls+273.15),'k:',label='Supercooled water')

ax.legend(loc='upper left')
ax.minorticks_on()
ax.grid(alpha=0.3)
ax.set(xlim=(T1,T2))

ax.set_ylabel('Partial pressure of water vapor [Pa]',fontsize=12)
ax.set_xlabel('Temperature [°C]',fontsize=12)
fig.savefig('Vapor_pressure_ice_supercooled_water.svg', format='svg', bbox_inches='tight')

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Category:CC-BY-SA-4.0#Vapor%20pressure%20ice%20supercooled%20water.svg
Category:Self-published work Category:Vapor pressure curves of water
Category:CC-BY-SA-4.0 Category:Invalid SVG created with Matplotlib code Category:Path text SVG Category:Self-published work Category:Vapor pressure curves of water