Analyzing STM Scans for Tunneling Current Changes

In summary, the problem involves an STM scanning a surface at a distance of 1.000nm with a potential barrier of U°-E=2.00 eV. The task is to estimate the percentage change in the tunneling current when the STM tip moves away from the surface by 2.00%. The equation for tunnelling current density J=(e/h)S(2m/h)(2pi)[U°-E]^0.5exp[-(2m/h)[U°-E]^0.5a] may be useful in solving this problem.
  • #1
Storm Butler
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Homework Statement


Suppose that an STM scans a surface at a distance of a=1.000nm. Take the height of the potential barrier to be U°-E=2.00 eV. If the STM tip movies away from the surface by 2.00%, estimate the percentage change in the tunneling current.

Homework Equations





The Attempt at a Solution


I honestly don't know how to do this. I've been reading over our chapter on tunnelling and there doesn't seem to be anything related to this problem.
 
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  • #2
The closest thing I've found to this is the equation for tunnelling current density J, which is J=(e/h)S(2m/h)(2pi)[U°-E]^0.5exp[-(2m/h)[U°-E]^0.5a] But I'm not sure how this would be of use in solving this question. Any help would be appreciated.
 

What is an STM scanner tunneling current?

An STM (scanning tunneling microscope) scanner tunneling current is a technique used in microscopy that involves passing a small electric current through a very sharp probe tip to image the surface of a material at an atomic scale.

How does an STM scanner tunneling current work?

An STM scanner tunneling current works by bringing the probe tip very close to the surface of the material being studied. The tip and surface are held at a small voltage difference, which creates a tunneling current of electrons between them. The strength of this current is used to map the surface topography and can also provide information about the electronic structure of the material.

What are the benefits of using an STM scanner tunneling current?

One of the main benefits of using an STM scanner tunneling current is its ability to image surfaces at an extremely high resolution, down to the atomic level. It is also a non-destructive technique, meaning it does not damage the sample being studied. Additionally, it can provide information about the electronic and magnetic properties of materials.

What types of materials can be studied using an STM scanner tunneling current?

An STM scanner tunneling current can be used on a wide range of conductive materials, including metals, semiconductors, and insulators. However, the sample must have a relatively flat and clean surface for the technique to work effectively.

What are some common applications of STM scanner tunneling current?

STM scanner tunneling current is commonly used in materials science, nanotechnology, and surface chemistry research. It can also be used in fields such as biology and medicine to study biological molecules and structures on a nanoscale. Additionally, it has applications in the development of new electronic and optoelectronic devices.

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