Solid state - crystallisation energy, stuck

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Homework Help Overview

The problem involves calculating a lower bound for the crystallisation energy of the ionic compound formed between lithium (Li) and fluorine (F). The original poster references ionisation energy and electron affinity values, and expresses uncertainty about the necessary equations and parameters.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the definitions of key terms such as ionisation energy, electron affinity, and crystallisation energy. Questions are raised about the significance of asking for a "lower bound" and how one might approach finding a good approximation instead.

Discussion Status

The discussion is ongoing, with participants exploring definitions and concepts relevant to the problem. Some guidance has been offered regarding the interpretation of terms and the nature of the calculations involved, but no consensus has been reached on a specific method or solution.

Contextual Notes

There is mention of a specific example involving sodium chloride, which raises questions about the generalizability of cohesive energy values across different compounds. Additionally, the original poster notes a lack of certain values, such as the distance between ions, which complicates their ability to proceed with the calculation.

kel
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Homework Statement



The ionisation energy of Li is 5.39eV and the electron affinity of F is 3.40eV. Give a lower bound for the modulus of the crystallisation energy of Li+F-

Homework Equations



Not entirely sure of the equation to use, but have this one in my notes:

U = - (q1q2/r(1,2)) . alpha . (1 / 4Pi E)

where E is the permeability of free space (I believe)

Though this may be the electro-potential formula.

The Attempt at a Solution



I haven't really attempted this to any meaningful degree, the problem is that I don't know how I can work this out when I'm not given a value for r (presumably the radius between atoms or ions??) nor am I sure what values I'm supposed to use for the charges q1 and q2.

I don't expect anyone to solve this for me, but if you could clarify what you think I need to do to work this out I'd be greatful. My lecturer is great on giving derivations and formulas, but never seems to explain things very well.

Cheers
Kel
 
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What are the definitions needed to understand the question?
What is the meaning of the word affinity?
What is the ionisation energy?
What is the crystallisation energy?
Also, what is the question, why asking for a "lower bound", what do you think?
If you were asked not for a lower bound but for a good approximation of the crystallisation energy, how could you do it?
 
ok, from my notes there is an example using sodium chloride

which gives the energy as

E = 7.9 (cohesive energy) - 5.1(ionisation energy) +3.6 (electron affinity)
= 6.4ev

What I want to know is, is the cohesive energy generally the same for all molecules? if so, then I can use the same sort of equation to answer the question.

Otherwise, my answer would only be

E = 5.39 - 3.40
= 1.99 eV

Cheers
Kel
 
If this is Biaggio's Assessed sheet 6, I don't think you are supposed to ask for other people to do the question for you!
 

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