Related Experiment Video
Updated: May 10, 2026

06:56
Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes
Published on: May 23, 2017
Demonstration of angle-dependent Casimir force between corrugations
A A Banishev1, J Wagner, T Emig
1Department of Physics and Astronomy, University of California, Riverside, California 92521, USA.
Physical Review Letters
|July 9, 2013
Summary
The Casimir force between a corrugated plate and sphere depends strongly on corrugation angle. Measurements align with advanced theories, offering new control over micromechanical systems.
Area of Science:
- Surface science
- Nanotechnology
- Quantum mechanics
Background:
- The Casimir effect is a quantum mechanical phenomenon.
- Understanding Casimir forces is crucial for micro/nanoscale devices.
- Corrugations can modify Casimir interactions.
Purpose of the Study:
- To measure the Casimir force between a corrugated surface and a sphere.
- To investigate the influence of corrugation angle on the Casimir force.
- To compare experimental results with theoretical predictions.
Main Methods:
- Atomic Force Microscopy (AFM) was used for force measurements.
- Experiments were conducted with a sinusoidally corrugated gold-coated plate and a sphere.
- Measurements were performed at various angles between the corrugations.
Main Results:
- A significant dependence of the Casimir force on the corrugation orientation angle was observed.
- Experimental forces deviated from the Proximity Force Approximation (PFA).
- Results agreed with gradient expansion theory incorporating geometric and material correlations.
Conclusions:
- The orientation of surface corrugations strongly influences the Casimir force.
- Advanced theoretical models are necessary for accurate predictions with corrugated surfaces.
- Findings enable new strategies for controlling Casimir forces in micromechanical systems.
More Related Videos
Related Concept Videos
Unsymmetric Bending - Angle of Neutral Axis
Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal centroidal axes. The...
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal centroidal axes. The...
Coplanar Forces
Consider an object upon which multiple forces are acting. If the lines of action of each force lie within the same plane, the system can be considered coplanar. The Cartesian vector form can be used to resolve each force into its respective components. For a coplanar system, the system will be in equilibrium if each component of the resultant force equals zero and the resultant force on the system is zero. If the sum of the forces is not equal to zero, then the object will not be in equilibrium...
Unsymmetric Bending
Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The orientation of the...
Deformations in a Symmetric Member in Bending
When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
Coriolis Force
An accelerating particle experiences a force equal to the mass multiplied by the acceleration in an inertial frame of reference. Consider a particle in a non-inertial frame of reference, such as a sliding ball on a rotating table. The acceleration of the ball in this rotating reference frame is different than in the intertial frame, which modifies its equation of motion. The fictitious forces acting additionally on a rotating frame of reference alter Newton's Second Law expression. Centripetal...
Mohr's Circle for Plane Stress
Mohr's circle is a graphical method for identifying the state of stress at a point in a material, making it easier to analyze stress transformations under plane stress conditions. This two-dimensional technique visualizes both normal and shearing stresses on an element.
Consider a set of Cartesian coordinates. The horizontal and vertical axes correspond to normal stress (σ) and shearing stress (τ), respectively. Two points, points A and B, are defined by the normal and shear stresses on the...
Consider a set of Cartesian coordinates. The horizontal and vertical axes correspond to normal stress (σ) and shearing stress (τ), respectively. Two points, points A and B, are defined by the normal and shear stresses on the...

