# Analysis of Gouy interference patterns from binary free-diffusion systems when the diffusion coefficient and refractive index have c/sup 1/2/ and C/sup 3/2/ terms, repsectively

## Abstract

Gouy fringe patterns are treated by numerical intergration and analytical techniques for binary electrolyte systems whose diffusion coefficients D and refractive indices n have concentration dependences including 1/2 and 3/2 powers. If one initial solution is pure water, skewing from the ideal case (constant D, linear n) is substantial; correction factors are large; and no averages of experimental quantities will yield D(anti-C). Refractive-index effects were much larger than expected. Analytical results include extension of the Gosting-Fujita theory to yield fringe positions and proof that f(zeta)/sup 2/3/ is a proper extrapolation function to get D/sub A/. Numerical integration results show (1) that the Gosting-Onsager theory for ideal systems is better than previously believed at high fringe numbers or low total number of fringes, (2) that masks are more important than previously assumed, and (3) that calculated corrections to experimental quantities can be least squared successfully in terms of variables suggested by the analytical theory. As anti C/(..delta..C/2) increases (C/sub 0/ moves away from infinite dilution), analytical results approach the numerical values. Proper analyses of dilute electrolyte data require several experiments to obtain the concentration-dependent correction factors. Examples for KCl and CaCl/sub 2/ are given. 4 figures, 4 tables.

- Authors:

- Publication Date:

- Research Org.:
- Univ. of California, Livermore

- OSTI Identifier:
- 5183514

- DOE Contract Number:
- W-7405-ENG-48

- Resource Type:
- Journal Article

- Journal Name:
- J. Phys. Chem.; (United States)

- Additional Journal Information:
- Journal Volume: 84:11

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; CALCIUM CHLORIDES; DIFFUSION; ELECTROLYTES; REFRACTIVITY; POTASSIUM CHLORIDES; BINARY MIXTURES; INTERFERENCE; WATER; ALKALI METAL COMPOUNDS; ALKALINE EARTH METAL COMPOUNDS; CALCIUM COMPOUNDS; CALCIUM HALIDES; CHLORIDES; CHLORINE COMPOUNDS; DISPERSIONS; HALIDES; HALOGEN COMPOUNDS; HYDROGEN COMPOUNDS; MIXTURES; OPTICAL PROPERTIES; OXYGEN COMPOUNDS; PHYSICAL PROPERTIES; POTASSIUM COMPOUNDS; 400400* - Electrochemistry

### Citation Formats

```
Albright, J G, and Miller, D G.
```*Analysis of Gouy interference patterns from binary free-diffusion systems when the diffusion coefficient and refractive index have c/sup 1/2/ and C/sup 3/2/ terms, repsectively*. United States: N. p., 1980.
Web. doi:10.1021/j100448a022.

```
Albright, J G, & Miller, D G.
```*Analysis of Gouy interference patterns from binary free-diffusion systems when the diffusion coefficient and refractive index have c/sup 1/2/ and C/sup 3/2/ terms, repsectively*. United States. https://doi.org/10.1021/j100448a022

```
Albright, J G, and Miller, D G. 1980.
"Analysis of Gouy interference patterns from binary free-diffusion systems when the diffusion coefficient and refractive index have c/sup 1/2/ and C/sup 3/2/ terms, repsectively". United States. https://doi.org/10.1021/j100448a022.
```

```
@article{osti_5183514,
```

title = {Analysis of Gouy interference patterns from binary free-diffusion systems when the diffusion coefficient and refractive index have c/sup 1/2/ and C/sup 3/2/ terms, repsectively},

author = {Albright, J G and Miller, D G},

abstractNote = {Gouy fringe patterns are treated by numerical intergration and analytical techniques for binary electrolyte systems whose diffusion coefficients D and refractive indices n have concentration dependences including 1/2 and 3/2 powers. If one initial solution is pure water, skewing from the ideal case (constant D, linear n) is substantial; correction factors are large; and no averages of experimental quantities will yield D(anti-C). Refractive-index effects were much larger than expected. Analytical results include extension of the Gosting-Fujita theory to yield fringe positions and proof that f(zeta)/sup 2/3/ is a proper extrapolation function to get D/sub A/. Numerical integration results show (1) that the Gosting-Onsager theory for ideal systems is better than previously believed at high fringe numbers or low total number of fringes, (2) that masks are more important than previously assumed, and (3) that calculated corrections to experimental quantities can be least squared successfully in terms of variables suggested by the analytical theory. As anti C/(..delta..C/2) increases (C/sub 0/ moves away from infinite dilution), analytical results approach the numerical values. Proper analyses of dilute electrolyte data require several experiments to obtain the concentration-dependent correction factors. Examples for KCl and CaCl/sub 2/ are given. 4 figures, 4 tables.},

doi = {10.1021/j100448a022},

url = {https://www.osti.gov/biblio/5183514},
journal = {J. Phys. Chem.; (United States)},

number = ,

volume = 84:11,

place = {United States},

year = {1980},

month = {5}

}