Calculate Polymer Melt Structure Factor - Help Needed

  • Thread starter Thread starter bb1
  • Start date Start date
  • Tags Tags
    Polymer
Click For Summary
SUMMARY

The discussion focuses on calculating the structure factor for a polymer melt using the formula S(q)=∑_{k}∑_{j}ε^{i**}. The main confusion arises from handling the imaginary exponent in the equation, particularly regarding the use of the complex conjugate. The suggestion to utilize Euler's formula and consider only the real part (cosine) is proposed, but concerns about discarding the complex component are raised. The conversation emphasizes the importance of understanding the implications of complex numbers in calculations.

PREREQUISITES
  • Understanding of polymer physics and structure factors
  • Familiarity with complex numbers and their properties
  • Knowledge of Euler's formula and its applications
  • Basic principles of scattering theory
NEXT STEPS
  • Research the application of Euler's formula in physics
  • Study the role of complex conjugates in Fourier transforms
  • Explore advanced topics in polymer melt dynamics
  • Learn about numerical methods for calculating structure factors
USEFUL FOR

Researchers in polymer science, physicists working with scattering techniques, and students studying complex analysis in physical applications.

bb1
Messages
5
Reaction score
0
I'm trying to calculate the structure factor for a polymer melt: S(q)=\sum_{k}\sum_{j}\epsilon^{i*<q>*<r_{kj}>}, but I don't know how to deal with the imaginary exponent...(the rest of the variable don't really matter, because I'm confused about how to deal with the exponent, but q is the scattering vector, and r_{kj} is the distance between vectors k and j) my first thought was to multiply by the complex conjugate, but doesn't that just get rid of the exponential altogether, leaving nothing for you to add? I don't understand how I can get any data if I multiply by the complex conjugate. Anyone have any suggestions?
 
Engineering news on Phys.org
Use http://en.wikipedia.org/wiki/Euler%27s_formula" and consider only the real part of the trig side (i.e., the cosine). The exponential form makes some calculations easier.
 
Last edited by a moderator:
Thanks for responding!
I considered that, but it doesn't seem correct to just throw out the complex part...is there something I'm missing?
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
5K
  • · Replies 4 ·
Replies
4
Views
6K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 131 ·
5
Replies
131
Views
11K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K