Finding the Radius of a Thomson Atom in Relation to Hydrogen Atom Radius

Click For Summary
SUMMARY

The discussion focuses on deriving the radius of a Thomson atom in relation to the radius of a hydrogen atom. It establishes that the charge density of a Thomson atom, characterized by atomic number Z, is equivalent to that of a hydrogen atom with radius Rh. Participants suggest starting by formulating an expression for the charge density of hydrogen and equating it to that of the Thomson atom to find the relationship between their radii.

PREREQUISITES
  • Understanding of atomic structure and charge density
  • Familiarity with Thomson's model of the atom
  • Basic knowledge of algebraic manipulation
  • Concept of atomic number and its significance
NEXT STEPS
  • Research the mathematical formulation of charge density in atomic models
  • Study Thomson's atomic model and its implications
  • Learn about the relationship between atomic number and atomic radius
  • Explore the derivation of atomic radii in quantum mechanics
USEFUL FOR

Students of physics, particularly those studying atomic theory and models, as well as educators looking for insights into teaching atomic structure concepts.

wumple
Messages
57
Reaction score
0

Homework Statement


Assume that the density of positive charge in any Thomson atom is the same as for the hydrogen atom. find the radius R of a Thomson atom of atomic number Z in terms of the radius Rh of the hydrogen atom.


Homework Equations





The Attempt at a Solution


I don't know where to start...could someone give me a hint?
 
Physics news on Phys.org
Write an expression for the charge density of a hydrogen atom (with an Rh in it). Set that equal to a similar expression for the charge density of an atom of atomic number z.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 22 ·
Replies
22
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
1
Views
2K
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
3
Views
2K