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 Meaning of dx in Boltzmann fit

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T O P I C    R E V I E W
ik9939 Posted - 11/19/2009 : 8:49:11 PM
Origin Ver. and Service Release (Select Help-->About Origin):
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Hi,
I am trying to fit my data and found that the Boltzmann fit matches my dataset very well. I also wanted to compare the Boltzmann fit with the exponential fit: y=A*exp(-x/t). In this fit, the t-value is the value of x where the original A constant has been decreased by 1/e. I am interested in finding out if the same can be said for dx in the Boltzmann function, how I should interpret that value?
According to the help function, dx is defined as: "The Y value changes drastically within a range of X variable. The width of this range is approximately dx". Does this mean that dx is the width of the steepest part of the slope?

I would be grateful for any advice.
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larry_lan Posted - 11/19/2009 : 9:49:48 PM
I think it's difficult to decide what's the meaning for each parameters, because different discipline may have different terms. I used to consider dx as an "scaling factor", which makes the curve steeper or flatter.

From the sample curve, I think we can estimate the slope at (x0, (a1+a2)/2) as (a2 - a1)/(4*dx).



Larry

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