Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Video

Updated: May 24, 2026

Stable DNA Motifs, 1D and 2D Nanostructures Constructed from Small Circular DNA Molecules
09:32

Stable DNA Motifs, 1D and 2D Nanostructures Constructed from Small Circular DNA Molecules

Published on: April 12, 2019

Lattice refinement strategies.

John K Edmiston1, Joel V Bernier, Nathan R Barton

  • 1University of California, Berkeley, California, USA. jedmiston@berkeley.edu

Acta Crystallographica. Section A, Foundations of Crystallography
|February 18, 2012
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
Structures of Solids02:22

Structures of Solids

Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
Unit Cells01:18

Unit Cells

A crystal's internal structure is an orderly array of atoms, ions, or molecules, and the details of this array significantly influence the solid's properties. In a crystal, periodically repeating 'structural motifs' - which could be atoms, molecules, or groups thereof - create a 'space lattice.' This is essentially a three-dimensional, infinite array of points, each surrounded by its neighbors in an identical way, forming the basic structure of the crystal.A 'unit cell' is a theoretical...
Imperfections in Crystal Structure: Point, Line and Plane Defects01:25

Imperfections in Crystal Structure: Point, Line and Plane Defects

A perfect crystal, in theory, has a uniform structure with the same unit cell and lattice points throughout. However, any deviation from this periodic arrangement is known as an imperfection or defect. These defects can be categorized into three types: point, line, and plane defects.Point defects occur when there is a deviation from the ideal due to missing atoms, displaced atoms, or additional atoms. These imperfections might occur due to imperfect packing during crystallization or because of...
Lattice Energies of Ionic Crystals01:27

Lattice Energies of Ionic Crystals

Lattice energy represents the energy released when gaseous cations and anions combine to form an ionic solid, reflecting the strength of electrostatic interactions within the crystal. This process is fundamentally governed by Coulombic attraction between oppositely charged ions, where the potential energy varies inversely with the interionic distance and directly with the product of ionic charges. As ions approach one another, the electrostatic energy becomes increasingly negative, indicating a...
The Seven Crystal Systems: Overview01:24

The Seven Crystal Systems: Overview

Crystals with various point group symmetries belong to different crystal classes, which are synonymous terms. Despite being in the same class, crystals may have distinct shapes, like cubes and octahedra. There are 32 three-dimensional point groups, all of which are systematically divided into seven crystal systems.The basic cubic crystal system, exemplified by NaCl, features orthogonal vectors (α = β = �� = 90°) of equal lengths (a = b = c). When specific requirements are not imposed on the...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Unexpected Observation of Disorder and Multiple Phase-Transition Pathways in Shock-Compressed Zr.

Physical review letters·2024
Same author

The influence of alloying on slip intermittency and the implications for dwell fatigue in titanium.

Nature communications·2022
Same author

Atomistic insights into metal hardening.

Nature materials·2020
Same author

A rotational and axial motion system load frame insert for in situ high energy x-ray studies.

The Review of scientific instruments·2015
Same journal

Report of the Executive Committee for 2006.

Acta crystallographica. Section A, Foundations of crystallography·2020
Same journal

Spin line groups.

Acta crystallographica. Section A, Foundations of crystallography·2013
Same journal

Distribution rules of systematic absences on the Conway topograph and their application to powder auto-indexing.

Acta crystallographica. Section A, Foundations of crystallography·2013
Same journal

Platonic solids generate their four-dimensional analogues.

Acta crystallographica. Section A, Foundations of crystallography·2013
Same journal

C70, C80, C90 and carbon nanotubes by breaking of the icosahedral symmetry of C60.

Acta crystallographica. Section A, Foundations of crystallography·2013
Same journal

Comparative study of X-ray charge-density data on CoSb3.

Acta crystallographica. Section A, Foundations of crystallography·2013
See all related articles

This study reconciles crystallographic and mechanics methods for lattice refinement in X-ray diffraction. It validates small strain assumptions, crucial for accurate stress analysis in high-precision experiments.

Area of Science:

  • Materials Science
  • Crystallography
  • Solid Mechanics

Background:

  • X-ray diffraction (XRD) is vital for materials characterization.
  • Lattice refinement in XRD often uses crystallographic methods.
  • Mechanics approaches are also used for lattice analysis, particularly for stress.

Purpose of the Study:

  • To quantitatively reconcile crystallographic and mechanics approaches to lattice refinement in XRD.
  • To establish the equivalence between unit-cell parameter refinement and lattice deformation tensor refinement.
  • To justify the small strain assumption in XRD-based stress analysis.

Main Methods:

  • Quantitative reconciliation of crystallographic and mechanics formalisms.
  • Derivation of relationships between unit-cell parameters and lattice deformation tensors.

More Related Videos

Indirect Fabrication of Lattice Metals with Thin Sections Using Centrifugal Casting
08:32

Indirect Fabrication of Lattice Metals with Thin Sections Using Centrifugal Casting

Published on: May 14, 2016

Related Experiment Videos

Last Updated: May 24, 2026

Stable DNA Motifs, 1D and 2D Nanostructures Constructed from Small Circular DNA Molecules
09:32

Stable DNA Motifs, 1D and 2D Nanostructures Constructed from Small Circular DNA Molecules

Published on: April 12, 2019

Indirect Fabrication of Lattice Metals with Thin Sections Using Centrifugal Casting
08:32

Indirect Fabrication of Lattice Metals with Thin Sections Using Centrifugal Casting

Published on: May 14, 2016

  • Analysis of the error associated with small strain approximations.

    • Main Results:

    • Equivalence established between unit-cell parameter and lattice deformation tensor refinement from a fixed reference.
    • Justification derived for the common small strain assumption in XRD stress analysis.
    • Infinitesimal strain relations shown to be accurate to quadratic order in strain.

    Conclusions:

    • The study provides a unified framework for lattice refinement in XRD.
    • Findings are important for high-precision or high-strain experiments.
    • Results aim to improve communication between crystallography and experimental mechanics communities.