Related Experiment Video
Updated: Jun 16, 2026

10:12
Synchrotron X-ray Microdiffraction and Fluorescence Imaging of Mineral and Rock Samples
Published on: June 19, 2018
Summary
Lorentz line parameters were derived from reflectance data for various minerals and glass. These optical constants are essential for computational modeling and include detailed fitting and statistical methods.
Area of Science:
- Materials Science
- Solid State Physics
- Spectroscopy
Background:
- Accurate optical constants are crucial for modeling material properties.
- Reflectance spectroscopy is a common method for deriving optical properties.
- Lorentzian models are frequently used to describe optical resonances.
Purpose of the Study:
- To empirically derive Lorentz line parameters from reflectance data.
- To provide optical constants for muscovite mica, anorthosite, pyroxenite, garnet, and glass.
- To detail a novel least-squares fitting method and statistical analysis for parameter estimation.
Main Methods:
- Empirical derivation of Lorentz line parameters from measured reflectance data.
- Application of a novel least-squares fitting technique to reflectance spectra.
- Statistical procedures for estimating the standard deviations of derived parameters.
Main Results:
- Lorentz line parameters were successfully determined for muscovite mica, anorthosite, diopsidic pyroxenite, almandite-pyrope garnet, and soda lime glass.
- The derived parameters serve as a valuable starting point for optical constant calculations.
- A detailed description of the fitting and statistical methods is provided.
Conclusions:
- The empirically derived Lorentz line parameters are reliable for computational applications.
- The presented methodology offers a robust approach for analyzing reflectance data.
- This work contributes essential optical data for diverse geological and material science applications.
Related Concept Videos
Minerals
Minerals are essential nutrients that the human body needs in small amounts to work properly. They play a vital role in many bodily functions, such as building strong bones and transmitting nerve impulses. Some minerals are needed for hormone production or to maintain a normal heartbeat. Major minerals include calcium, phosphorus, potassium, sulfur, sodium, chlorine, and magnesium, while trace minerals include iron, manganese, copper, iodine, zinc, cobalt, fluoride, and selenium.
Law of Rational Indices
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...
Specific Gravity of Aggregate
Aggregates typically contain pores, which can be either permeable or impermeable. Considering the pores in the aggregates, the specific gravity of aggregates is defined in three different forms, namely, bulk or gross specific gravity, apparent specific gravity, and absolute specific gravity.
Bulk or gross specific gravity is calculated by taking the ratio of the mass of aggregates in the saturated surface-dry state to the total volume that includes both the solids and the voids within the...
Bulk or gross specific gravity is calculated by taking the ratio of the mass of aggregates in the saturated surface-dry state to the total volume that includes both the solids and the voids within the...
Crystal Density
The crystal lattice structure of a material allows us to determine how many molecules exist in its unit cell. With this information, alongside the unit-cell parameters - three distance parameters (a, b, c) and three angular parameters (α, β, γ).Density (ρ) = (Z × M) / (a × b × c × NA)where:Z is the number of formula units per unit cellM is the molar mass of the substancea, b, and c are the edge lengths of the unit cellNA is Avogadro’s numberFor a simple cubic lattice, atoms are located only at...
Determination of Crystal Structures
In the late 1800s, the revelation that light extended beyond visible wavelengths led to the discovery of X-rays by Wilhelm Roentgen. Recognized as high-energy electromagnetic radiation with short wavelengths, X-rays prompted exploration into their interaction with crystals. Max von Laue proposed in 1912 that the periodic arrangement of atoms, ions, or molecules in crystals would cause them to diffract X-rays, a hypothesis confirmed through experiments with copper sulfate and zinc sulfide...
Susceptibility, Permittivity and Dielectric Constant
When placed in an external electric field, a dielectric material gets polarized. The charge density in the dielectric material is given by the sum of the bound and free charge densities, while the total charge density can also be written in terms of the total electric field. The bound charge density can be measured in terms of polarization, leading to the relationship between electric displacement and polarization.

