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Related Concept Videos

Orders of Magnitude01:15

Orders of Magnitude

The order of magnitude of a number is the power of 10 that most closely approximates it. Thus, the order of magnitude estimates the scale (or size) of its value. To find the order of magnitude of a number, take the base-10 logarithm of the number and round it to the nearest integer. Then the order of magnitude of the number is simply the resulting power of 10.
The order of magnitude is simply a way of rounding numbers consistently to the nearest power of 10. This makes doing rough mental math...
Second Order systems I01:20

Second Order systems I

A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
By reinterpreting the system, one can derive the closed-loop transfer function, which...
Second Order systems II01:18

Second Order systems II

In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
If  ζ...
Relating Angular And Linear Quantities - II01:05

Relating Angular And Linear Quantities - II

In the case of circular motion, the linear tangential speed of a particle at a radius from the axis of rotation is related to the angular velocity by the relation:
Relating Angular And Linear Quantities - I01:09

Relating Angular And Linear Quantities - I

If the rotational definitions are compared with the definitions of linear kinematic variables from motion along a straight line and motion in two and three dimensions, we can observe a mapping of the linear variables to the rotational ones.
When comparing the linear and rotational variables individually, the linear variable of position has physical units of meters, whereas the angular position variable has dimensionless units of radians, as it is the ratio of two lengths. The linear velocity...
First Order Systems01:21

First Order Systems

First-order systems, such as RC circuits, are foundational in understanding dynamic systems due to their straightforward input-output relationship. Analyzing their responses to different input functions under zero initial conditions reveals significant insights into system behavior.
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...

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Patterning of Microorganisms and Microparticles through Sequential Capillarity-assisted Assembly
10:17

Patterning of Microorganisms and Microparticles through Sequential Capillarity-assisted Assembly

Published on: November 4, 2021

Incommensurate stistaite--order made to order.

S Lidin1, J Christensen, K Jansson

  • 1Inorganic Chemistry, Stockholm University, 106 91 Stockholm, Sweden. sven@inorg.su.se

Inorganic Chemistry
|May 16, 2009
PubMed
Summary
This summary is machine-generated.

The crystal structure of stistaite (SbSn) was clarified using X-ray diffraction. This study reveals stistaite exhibits incommensurate ordering across its stability range.

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Area of Science:

  • Solid-state chemistry
  • Crystallography
  • Materials science

Background:

  • Stistaite (SbSn) is an intermetallic compound with a complex structure.
  • Understanding its structural properties is crucial for materials science applications.

Purpose of the Study:

  • To elucidate the crystal structure of stistaite (SbSn).
  • To establish the relationship between its modulated structure and chemical composition.
  • To determine the ordering behavior within its stability region.

Main Methods:

  • Single crystal X-ray diffraction was employed to analyze the atomic arrangement.
  • Energy-dispersive X-ray (EDX) spectroscopy was used for elemental analysis and composition determination.

Main Results:

  • A clear relationship between the modulated structure and the composition of stistaite was established.
  • Stistaite was found to exhibit incommensurate ordering.
  • This incommensurate ordering was observed across the entire stability region of the compound.

Conclusions:

  • The study provides a comprehensive understanding of stistaite's crystal structure and composition.
  • The findings highlight the incommensurate nature of stistaite ordering, relevant for materials design.