Recent content by erbilsilik

  1. erbilsilik

    CV redox peaks and Gamry Potentiometer

    UPDATE TO MY FIRST POST. --------------------------------------------- My working electrode is TiO2-Deposited FTO/Glass (thin film). I use LiClO4-PC aqueous solution as an electrolyte. The method is discussed in several papers (doi: 10.1016/0167-2738(86)90214-6). Upon Li+ intercalation due to...
  2. erbilsilik

    CV redox peaks and Gamry Potentiometer

    I'm using Gamry Potentiometer for taking CV measurements for finding the appropriate voltage values for oxidation/reduction peaks and Echem Analyst for analyzing. CV measurements has performed on liquid electrolyte in order to find if working electrode accept Li ions. My question is about...
  3. erbilsilik

    A Scherrer Formula and interpreting values

    I have developed a script in MATLAB that can detect peaks from datas and that can find FWHM of detected peaks. Scripts gives reliable results but crystallites sizes are different a little from this http://mahendrakoppolu.blogspot.com.tr/2013/07/online-crystallite-size-calculator.html Link to my...
  4. erbilsilik

    Bose function convergence

    Homework Statement How can I show that this series is convergent for z=1 and z<1 and divergent for z>1 $$\sum _{p=1}^{\infty }\dfrac {z^{p}} {p^{3/2}}$$ Homework Equations http://tutorial.math.lamar.edu/Classes/CalcII/RatioTest.aspx The Attempt at a Solution Using the ratio test I've...
  5. erbilsilik

    Research Orthogonal Lie Group for Physics Applications

    So are you saying that I need to study the first 50 page in Greiner's book? I don't have a much time actually, looking for the best recipe for an answer 'one application of ortogonal Lie group in physics'.
  6. erbilsilik

    Research Orthogonal Lie Group for Physics Applications

    [Mentor's Note: Thread moved from homework forums] Where can I start to research this question? I did not take any course on Group theory before and I know almost nothing about the relationship with this pure maths and physics. I've decided to start with Arfken's book but I'm not sure. 1...
  7. erbilsilik

    I Plotting and visualizing a 3D plot of a vector function

    Where did you try it? I think you can do it by starting to giving the same value to u and v. You can try to create a loop for u and v then for each value there will be different (r,u).
  8. erbilsilik

    A What's meant by D dimensional gas?

    As Avagadro states: "One mole of an ideal gas at STP occupies 22.4 liters." This doesn't seems counterintuitive since we know that we need a volume to compress the gas. But how can we explain quantum ideal gases. Especially in my case, Bose gases. Since well-known example is Helium 4, we might...
  9. erbilsilik

    What are the expansions of Bose functions for studying thermodynamic behavior?

    Homework Statement To study the thermodynamic behavior of the limit $$z\rightarrow1$$ it is useful to get the expansions of $$g_{0}\left( z\right),g_{1}\left( z\right),g_{2}\left( z\right)$$ $$\alpha =-\ln z$$ which is small positive number. From, BE integral, $$g_{1}\left( \alpha \right)...
  10. erbilsilik

    A Fugacity of Ideal Bose Gas: Exploring the Connection to Chemical Potential

    I have finally found that integral is diverging as ln(1/εβ) in 2D as z→1.
  11. erbilsilik

    A Fugacity of Ideal Bose Gas: Exploring the Connection to Chemical Potential

    @vanhees71 Thank you for your help. I'll be more carefull in the next time but just for this time that me continue to ask what do you mean by expanding the integral? Can you clarify this please? I've found N in all three dimension but I can't show how can integrals divergence logaritmically or...
  12. erbilsilik

    A Fugacity of Ideal Bose Gas: Exploring the Connection to Chemical Potential

    @vanhees71 thank you for your explanation. I really need to put it some effort to understand what's really going on it. I'm a new researcher in this field, and I can say that there's to much things that confusing me. Do you know any resources that can help me to understand ideal bose systems in...
  13. erbilsilik

    A Fugacity of Ideal Bose Gas: Exploring the Connection to Chemical Potential

    We know that the average occupation number cannot be negative for all systems and chemical potential must be negative in Ideal Bose Gas. This fact leads us to arrive a conclusion for fugacity which is related by chemical potential, as I quoted below: The restriction of the fugacity to the...
  14. erbilsilik

    Understanding Boson Systems: Resources & Tutorials

    Homework Statement What is boson? Quantum mechanical properties of bosons. Statistical properties of bosons. Applications of bose systems. Thermodynamic and statistics properties of ideal bose gas. Homework Equations Looking for a good resources for undergraduate or graduate level. The...
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