Calculate Polymer Melt Structure Factor - Help Needed

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To calculate the structure factor for a polymer melt, the main challenge lies in handling the imaginary exponent in the equation S(q)=∑_{k}∑_{j}ε^{i*q*r_{kj}}. The initial thought of multiplying by the complex conjugate raises concerns about losing essential data from the exponential. Focusing solely on the real part, specifically the cosine component, may simplify calculations but could overlook important information. There is uncertainty about discarding the complex part entirely, suggesting a need for a more nuanced approach. Further clarification on how to incorporate the imaginary exponent effectively is sought.
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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?
 
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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.
 
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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?
 
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