# Gouy Interferometry: Properties of Multicomponent System Omega Graphs

## Abstract

We consider the properties of {Omega} graphs ({Omega} vs f(z)) obtained from Gouy interferometry on multicomponent systems with constant diffusion coefficients. We show that they must have (a) either a maximum or else a minimum between f(z)=0 and f(z)=1 and (b) an inflection point between the f(z) value at the extremum and f(z)=1. Consequently, an {Omega} graph cannot have both positive and negative {Omega} values.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 940505

- Report Number(s):
- UCRL-JRNL-227513

Journal ID: ISSN 0095-9782; JSLCAG; TRN: US200824%%68

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

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Solution Chemistry, vol. 36, no. 11/12, September 27, 2007, pp. 1469-1477; Journal Volume: 36; Journal Issue: 11-12

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 58 GEOSCIENCES; 37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; DIFFUSION; INTERFEROMETRY; CHEMISTRY

### Citation Formats

```
Miller, D G.
```*Gouy Interferometry: Properties of Multicomponent System Omega Graphs*. United States: N. p., 2007.
Web. doi:10.1007/s10953-007-9194-6.

```
Miller, D G.
```*Gouy Interferometry: Properties of Multicomponent System Omega Graphs*. United States. doi:10.1007/s10953-007-9194-6.

```
Miller, D G. Wed .
"Gouy Interferometry: Properties of Multicomponent System Omega Graphs". United States.
doi:10.1007/s10953-007-9194-6. https://www.osti.gov/servlets/purl/940505.
```

```
@article{osti_940505,
```

title = {Gouy Interferometry: Properties of Multicomponent System Omega Graphs},

author = {Miller, D G},

abstractNote = {We consider the properties of {Omega} graphs ({Omega} vs f(z)) obtained from Gouy interferometry on multicomponent systems with constant diffusion coefficients. We show that they must have (a) either a maximum or else a minimum between f(z)=0 and f(z)=1 and (b) an inflection point between the f(z) value at the extremum and f(z)=1. Consequently, an {Omega} graph cannot have both positive and negative {Omega} values.},

doi = {10.1007/s10953-007-9194-6},

journal = {Journal of Solution Chemistry, vol. 36, no. 11/12, September 27, 2007, pp. 1469-1477},

number = 11-12,

volume = 36,

place = {United States},

year = {Wed Jan 24 00:00:00 EST 2007},

month = {Wed Jan 24 00:00:00 EST 2007}

}

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