An estimation of the critical temperatures for atoms adsorbed on fractal surfaces using the van der waals equation in non-integral dimensional space

✍ Scribed by P.J. Hall

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 235 KB
• Volume: 129
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(86)80369-4

✦ Synopsis

Using a Lagranglan interpolation over the values of space occupied by a sphere in one-, two-and three-dimensional space an expression for the space occupied by a sphere in non-integral dimensional space is obtained. This is used to obtain expressions for the pressure and volume corrections to the van der Waals equation in non-integral dimensional space. An expression for the critical temperature of a gas in non-integral dimensional space is derived and its experimental implications discussed. 'It is shown that the value of the critical temperature is not dependent on the form of the original interpolation.