Calculating Ion Distance in a 1D Lattice: A Simple Solution

In summary, the conversation discusses the guidelines for seeking homework help on a forum, including the importance of showing an attempted solution. It also mentions the presence of multiple ions in a lattice and the consideration of repulsive potential between nearest neighbors in energy calculations. The question also prompts for clarification on the dimension of the lattice.
  • #1
sinna
1
0
Homework Statement
Calculate the distance between the nearest ions at which the two forms of the repulsive potential give equal lattice energies.
Relevant Equations
On the image
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  • #3
Also, the image has no equations.
 
  • #4
"nearest ions" suggests there are more than two in the scenario. Is there more intro to this question?
 
  • #5
In the simplest models of lattice, the repulsive potential is considered to drop much faster than the attractive one so the repulsive effects are considered only between the nearest neighbors in the calculations of the total energy. This is how it is done is some introductory solid-state books, like Kittel's.
 
  • #6
Also are we to assume a 1 dimensional lattice? 2D? 3D? Choose the simplest case and attempt a solution.....
 

What is the definition of "distance between two ions"?

The distance between two ions refers to the measure of the space between the nuclei of two ions in a chemical compound.

How is the distance between two ions calculated?

The distance between two ions can be calculated using the formula d = (r1 + r2), where d is the distance between the ions and r1 and r2 are the ionic radii of the two ions.

What factors can affect the distance between two ions?

The distance between two ions can be affected by the strength of the ionic bond, the size of the ions, and the presence of any other molecules or ions in the compound.

Why is the distance between two ions important in chemistry?

The distance between two ions is important in determining the stability and properties of a compound. It can also affect the reactivity and conductivity of the compound.

How does the distance between two ions change in different chemical reactions?

The distance between two ions can change in different chemical reactions depending on the types of ions involved and the reaction conditions. In some reactions, the distance may increase due to the formation of new bonds, while in others it may decrease due to the breaking of existing bonds.

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