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Law of Rational Indices

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The Law of rational indices is a fundamental principle in the field of crystallography. According to this law, the intercepts of a crystal face along the crystallographic axes (the three-dimensional axes along which a crystal is measured) can be expressed as either equivalent to the unit intercepts (a, b, c) or simple whole number multiples of them. These multiples are typically denoted as na, n'b, and n''c, where n, n', and n'' are simple whole numbers.To illustrate, consider a crystal with...

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Related Experiment Video

Updated: Jun 8, 2026

$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

Normal-incidence reflectance of crystalline K(6)C(60), Rb(6)C(60), and Cs(6)C(60).

J F Seely, H B Rosenstock

|October 12, 2010

Summary

Alkali-metal-doped fulleride crystals show promising reflectance in the X-ray region. These C(60) materials could be used in normal-incidence mirrors for X-ray applications.

Area of Science:

Materials Science
Condensed Matter Physics
Nanotechnology

Background:

Fulleride crystals, specifically M(6)C(60) where M is an alkali metal (K, Rb, or Cs), are being investigated for their optical properties.
Understanding the X-ray optical properties of these materials is crucial for developing advanced optical components.

Purpose of the Study:

To calculate the structure factors and normal-incidence reflectances of alkali-metal-doped fulleride crystals M(6)C(60).
To evaluate the potential of C(60) as a transmissive spacer material for X-ray mirrors.

Main Methods:

Theoretical calculations were performed to determine structure factors.
Normal-incidence reflectance was calculated for incident wavelengths in the X-ray region (9-17 Å).

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High-Contrast and Fast Photorheological Switching of a Twist-Bend Nematic Liquid Crystal

Published on: October 31, 2019

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Last Updated: Jun 8, 2026

$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

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Published on: August 22, 2017

Using Neutron Spin Echo Resolved Grazing Incidence Scattering to Investigate Organic Solar Cell Materials

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High-Contrast and Fast Photorheological Switching of a Twist-Bend Nematic Liquid Crystal

High-Contrast and Fast Photorheological Switching of a Twist-Bend Nematic Liquid Crystal

Published on: October 31, 2019

Main Results:

Calculated peak reflectances for M(6)C(60) crystals were found to be in the 2-20% range.
These reflectance values were observed for incident wavelengths between 9 and 17 Å.

Conclusions:

C(60)-based fulleride crystals exhibit significant normal-incidence reflectance in the X-ray region.
These findings suggest that C(60) is a promising transmissive material for fabricating normal-incidence X-ray mirrors.