Limitation of metallic sharpness from local electric field

In summary, there are limitations to the sharpness of needle points and razor edges due to materials and the geometry of the tools used to make them. The sharpest point that can be achieved is a single atom, which has been demonstrated using atomic force microprobes. However, even these probes have a relatively blunt tip. The sharpness of a metallic "spline" is also limited by the concentration of electric field in its above atomic scale tine, which can lead to spontaneous fracture of the tip. Therefore, there is a limit to the sharpness of both needles and razors, determined by the materials and geometry involved.
  • #1
Loren Booda
3,125
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Since there is a significantly-above atomic limit to the allowed sharpness of an (approximately zero-dimensional) needle point due to its local electric field, would there be a similar limit to the keenness of an (approximately one-dimensional) razor edge?
 
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  • #2
Loren Booda said:
Since there is a significantly-above atomic limit to the allowed sharpness of an (approximately zero-dimensional) needle point due to its local electric field, would there be a similar limit to the keenness of an (approximately one-dimensional) razor edge?
The limitations are related to materials and the geometry of tools used to make needles and razors.

The sharpest point would be a single atom, and this is only achieveable with atomic force microprobes. IBM scientists have done some amazing work with AFMs.

http://adsabs.harvard.edu/abs/1992SPIE.1556...79N

More generally -

http://www.iop.org/EJ/abstract/0960-1317/2/3/026

http://www.freepatentsonline.com/5611942.html

Unfortunately, I can't find a general paper or site that gives details on AFM's.
 
  • #3
Astronuc,

By "sharpness" I mean in terms of slimness, as in least solid angle for a needle. The probes you mention (granting the terminal atoms) are rather blunt nonetheless. My E-M professor once mentioned that the sharpness of metallic "spline" was limited (somewhat related to the effect of a lightning rod or comb teeth on a van de Graaff generator) by spontaneous fracture of its tip. So a needle, or spline, could only be so pointed, not from atomic considerations so much, but from the concentration of electric field in its above atomic scale tine.
 

1. What is the concept of limitation of metallic sharpness from local electric field?

The limitation of metallic sharpness from local electric field refers to the phenomenon where the sharpness or resolution of a metallic object is limited by the strength of the local electric field surrounding it. This is particularly relevant in nanotechnology and microscopy, where the manipulation of metallic objects at the nanoscale is often hindered by the electric field.

2. How does the local electric field affect the sharpness of metallic objects?

The local electric field can affect the sharpness of metallic objects in several ways. First, it can cause distortion or blurring of the object due to electric field-induced forces. It can also cause scattering of electrons, resulting in a loss of resolution. Additionally, the electric field can induce heat, which can lead to thermal expansion and affect the sharpness of the object.

3. What factors influence the limitation of metallic sharpness from local electric field?

There are several factors that can influence the limitation of metallic sharpness from local electric field. These include the shape and size of the metallic object, the strength and direction of the electric field, and the properties of the surrounding material. The distance between the object and the source of the electric field can also play a role.

4. Can the limitation of metallic sharpness from local electric field be overcome?

Yes, there are strategies that can be used to overcome the limitation of metallic sharpness from local electric field. These include using materials with lower dielectric constants, manipulating the direction and strength of the electric field, and introducing additional forces to counteract the effects of the electric field. Advances in nanotechnology and microscopy techniques also continue to improve our ability to overcome this limitation.

5. What are the potential applications of understanding the limitation of metallic sharpness from local electric field?

Understanding the limitation of metallic sharpness from local electric field is crucial for many applications in nanotechnology and microscopy. It can help improve the resolution and accuracy of imaging techniques, as well as enable better control and manipulation of metallic objects at the nanoscale. This knowledge can also be applied in the development of new materials and technologies that utilize metallic objects, such as sensors, electronics, and medical devices.

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