How can I show that the bulk modulus is about r^-4?

Click For Summary
SUMMARY

The discussion centers on demonstrating that the bulk modulus is approximately proportional to r^-4. Participants emphasize the importance of understanding the relationship between the variables involved, specifically the pair potential discussed in class and its dependence on the distance r. Clarification on the values for m and n is crucial for solving the problem, as they directly influence the calculations related to the bulk modulus.

PREREQUISITES
  • Understanding of bulk modulus and its mathematical representation
  • Familiarity with pair potentials in physics
  • Knowledge of the relationship between distance (r) and volume (Ω)
  • Basic skills in manipulating equations in physics
NEXT STEPS
  • Research the mathematical derivation of bulk modulus in relation to pair potentials
  • Study the implications of distance (r) on physical properties in materials science
  • Explore the concept of volume (Ω) and its relationship with r in thermodynamics
  • Examine examples of specific pair potentials used in class to understand their effects on bulk modulus calculations
USEFUL FOR

Students studying material science, physicists focusing on thermodynamic properties, and educators teaching concepts related to bulk modulus and pair potentials.

joemmonster
Messages
10
Reaction score
0

Homework Statement


Using the equations, show the bulk modulus is about r^-4.

Homework Equations


upload_2017-3-6_13-36-58.png


The Attempt at a Solution



Tried to plug Uij but it is not same as U. To be honest, I don't know where to start.
 
Physics news on Phys.org
What values were you given for ##m## and ##n##? If you weren't given values, what pair potential have you discussed in class?

What's the relationship between ##r## and ##\Omega##?
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
8K
  • · Replies 13 ·
Replies
13
Views
14K
Replies
3
Views
10K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
18
Views
2K
Replies
3
Views
3K