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 Tangent And Intersect
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taniasalgueiro

Portugal
13 Posts

Posted - 03/03/2014 :  08:52:29 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Ver. and Service Release (Select Help-->About Origin): 9
Operating System: Windows 7

Hi there!

I wanna know if there's possibible in a graphic like this:

trace a tangent, knows when the 1st derivate is zero, and then intersect the tangent with the horizontal lines that initiates and finishes. Sorry my english, i hope you understant.

In pratical, i wanna a tangent that intersect with the minimum y and the maxim y. With is, I wanna know the range that y is different. It's an enthaphy graphic. I wanna know the fusion range and solidification range. It's a simple way to know this.

Thank you!

lkb0221

China
497 Posts

Posted - 03/03/2014 :  10:27:47 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,

You can:
1). Use Differentiate gadget to get derivative curve.
2). Use Vertical Cursor gadget to find the corresponding point.
3). Use Tangent gadget to generate tangent line.

See my example below:


You can get Tangent gadget form the following webpage:
http://www.originlab.com/fileexchange/details.aspx?fid=153

Zheng
OriginLab

Edited by - lkb0221 on 03/03/2014 10:28:34 AM
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taniasalgueiro

Portugal
13 Posts

Posted - 03/03/2014 :  12:29:53 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
I'm not sure, I'm following you. So, I know which the peak is, and I wanna that the tangent touch in that point. And then I wanna trace two horizontal lines. And then i wanna the area.

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taniasalgueiro

Portugal
13 Posts

Posted - 03/03/2014 :  1:59:17 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
I pretend something like that:



the I wanna an horizontal line with minimum y and the the area of the triangule. Is it possible?
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lkb0221

China
497 Posts

Posted - 03/03/2014 :  2:12:20 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,

So actually you want to find the peak of 1st derivative, right? Which is where the 2nd derivative passes zero. And find the corresponding Y value on the original curve. Then calculate the Y range beyond/below this point.

All of the above can be done in the worksheet. Please see my example below, Graph1 is the data I used.

So you can:
1). Use "Analysis: Mathematics: Differentiate" to get 1st derivative curve.
2). Use "Analysis: Peaks and Baseline: Peak Analyzer" to find the maximum point of 1st derivative curve.
3). Use "Analysis: Mathematics: Interpolate/Extrapolate Y form X" to find the corresponding Y value. (The peak value was in "Peak_Centers1" worksheet, I copied it here.)
4). Then you will get the target Y value in col(E).
5). Use SCV to calculate the ranges ( col(F) and col(G) ).



Please email <tech@originlab.com> if you have further questions, for this might hard to explain through forum posts.

Zheng
Originlab
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taniasalgueiro

Portugal
13 Posts

Posted - 03/03/2014 :  4:32:57 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Well, I have a data with heat specific and temperature.Then I integrated and i have enthalpy, which is the graphic I showed in topic.

With the specific heat graphic, I really know the peak fusion and solidification. What I need is the variation of temperatures of that, and the value of enthalpy, not just the curve. So, for this, I wanted to do a tangent line at the point we know that's the peak, and than make a triangle, with a baseline in y=0, and the area.

Hope i make myself clear. It's a difficult question to explain.

Thanks in advance.
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lkb0221

China
497 Posts

Posted - 03/03/2014 :  5:12:41 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,

I sent an email to your G-mail account, please check.

Zheng
OriginLab
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