No data available.

Please log in to see this content.

You have no subscription access to this content.

No metrics data to plot.

The attempt to load metrics for this article has failed.

The attempt to plot a graph for these metrics has failed.

The optical and electrical properties of silver nanowire mesh films

Rent:

Rent this article for

USD

10.1063/1.4812390

### Abstract

We present experimental results for the transmission T, haze H, sheet resistance Rs, and its spatial fluctuations ΔRs for silver nanowire films. Mie light scattering theory of nanowires is developed to predict both T and H as a function of diameter D of wires and the surface fraction ϕs covered by the wires. Percolation theory is used to derive an equation for Rs in terms of D, the aspect ratio of wires D/L and ϕs. The critical exponent t for percolation of Rs is found to be 1.23 in close agreement with theoretical results for 2D random resistive networks (t = 1.3). These equations show the importance of both the distributions of diameter ⟨D⟩ and aspect ratio of wires ⟨D⟩⟨L⟩/⟨L2⟩ to predict the optical and electrical properties. Spatial fluctuations ΔRs/Rs can also be significant in these films and be greater than 10% as ϕs approaches the critical percolation concentration ϕc. We show that the calculated T versus Rs and H versus Rs curves are in good agreement with the experimental data. We propose figures of merit for percolating nanowire films in terms of high T, low H, and low Rs to order the quality of films for touch screen applications. The results show that D < 50 nm and L > 5 μm are needed to achieve low haze H < 1%, high transmission T > 90%, together with low Rs ∼ 100 Ω/sq for touch screen applications. Finally, we present experimental and theoretical results of the real and imaginary refractive indices of AgNW/polymer nanocomposites, and find that the Van De Hulst model is more accurate than the Maxwell Garnett models.

© 2013 AIP Publishing LLC

Received 30 April 2013
Accepted 11 June 2013
Published online 08 July 2013

Acknowledgments: We thank A. Malek, G. Athens, J. Lunn, T. Calverley, and M. de Graaf of The Dow Chemical Company for many stimulating discussions.

Article outline:

I. INTRODUCTION

A. Electrical percolation of nanowires in 2D and 3D films

B. Optical properties of nanowires based on Mie theory

II. EXPERIMENTAL METHODS AND DATA ANALYSIS

III. MIE THEORY OF TRANSMISSION, HAZE, AND REFRACTIVE INDEX

A. Transmission with volume fraction of nanowires

B. Transmission with surface fraction of nanowires

C. Optical transmission: Theory and experiment

D. Haze from nanowires

E. Refractive index of nanowires

1. Maxwell Garnett equation

2. Van De Hulst equation

IV. PERCOLATIONEQUATION FOR NANOWIRESFILMS

A. Sheet resistance of 2D periodic grid

B. Estimate of material constant for random resistive percolating network

C. Effect of distribution of diameter and length on critical percolation concentration

D. Determination of fit parameters for percolationequation

V. TRANSMISSION AND HAZE VERSUS SHEET RESISTANCE: THEORY AND EXPERIMENT

VI. SPATIAL FLUCTUATIONS IN SHEET RESISTANCE

VII. FIGURES OF MERIT FOR NANOWIRESFILMS

A. Low haze and sheet resistance, 1/(HR_{s})

B. High transmission and low sheet resistance, T^{10}/R_{s}

C. High transmission and low haze, T/H

VIII. CONCLUSIONS

/content/aip/journal/jap/114/2/10.1063/1.4812390

http://aip.metastore.ingenta.com/content/aip/journal/jap/114/2/10.1063/1.4812390

Article metrics loading...

/content/aip/journal/jap/114/2/10.1063/1.4812390

2013-07-08

2014-04-16

Full text loading...

### Most read this month

Article

content/aip/journal/jap

Journal

5

3

Commenting has been disabled for this content