Pchem -- de Brogile relation question phrasing....

In summary, the conversation discusses the acceleration and focusing of electrons in an electrical potential of 105 V for use in examining biological specimens. The theoretical resolution of the de Broglie wavelength is also mentioned, with the smallest possible object that can be resolved being determined using the formula λ= h/(2meΔΦ)(1/2). The question asks for clarification on the approach and possible application in electron microscopy.
  • #1
sheller
2
0
Electrons are accelerated in an electrical potential of: ΔΦ = 105 V and are focused on a biological specimen. Assume that the kinetic energy of an electron is given by eΔΦ where e is the charge of an electron.
What is the smallest possible object that can be resolved assuming that the theoretical resolution is given by the de Brogile wavelength?

My problem is actually due to the phrasing of the question itself; I got something like this:
Ek = eΔΦ = 1/2mv2 ≡ p2/2m
then p = (2meΔΦ)(1/2) and from there get
λ= h/p or λ = h/(2meΔΦ)(1/2)

But I don't know if this was what my professor is looking for because of the phrasing, thoughts?
 
Physics news on Phys.org
  • #2

What is Pchem?

Pchem stands for Physical Chemistry, which is a branch of chemistry that deals with the study of the physical properties and behavior of matter on a molecular and atomic level.

What is the de Broglie relation?

The de Broglie relation is a fundamental principle in quantum mechanics that describes the wave-particle duality of matter. It states that all particles, including electrons and atoms, have both wave-like and particle-like properties.

How is the de Broglie relation related to Pchem?

The de Broglie relation is important in Pchem because it helps us understand the behavior of matter at the molecular and atomic level. It allows us to calculate the wavelength of particles and predict their behavior, which is crucial in understanding chemical reactions and other physical processes.

Can you provide an example of the de Broglie relation in action?

One example of the de Broglie relation in action is the electron diffraction experiment. In this experiment, electrons are passed through a thin crystal and their diffraction pattern is observed. This experiment demonstrates the wave-like nature of electrons, which is predicted by the de Broglie relation.

Why is the de Broglie relation important in modern science?

The de Broglie relation has revolutionized our understanding of the behavior of matter on a microscopic level. It has allowed us to develop new technologies, such as electron microscopes, and has played a significant role in the development of quantum mechanics. It is also essential in fields such as chemistry, physics, and material science.

Similar threads

  • Other Physics Topics
Replies
5
Views
868
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Quantum Interpretations and Foundations
Replies
6
Views
1K
  • Advanced Physics Homework Help
Replies
5
Views
2K
  • Quantum Interpretations and Foundations
Replies
6
Views
2K
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
853
  • Introductory Physics Homework Help
Replies
14
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
11
Views
2K
Back
Top