* Line_width_variation_studies_by_EIS?


I'm getting first level data from zero level after usual reduction by 'eis_prep'. However, when i am fitting the lines by xcfit, i'm getting the spectrum slightly displaced from the wavelength values given in the data window. What error this will make in the calculations?. Secondly, can we get the accurate width variation ? , and can we use these datas for line-width variation studies ?

--[A.K. Srivastava], 02-July-2007


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In response to your first query - do you get the same shift (and what is it) if you got with a simple gauss_fit?

In response to your second query we would need more information. Various work has been carried on line widths looking at the differences
at different stages or positions of loops by Hara et al., and Doschek et al (both been submitted), so clearly line widths can
be measured.What variation are you referring to?

--[Hiro Hara|http://null], 09-Jul-2007

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About the instrumental width, [Doschek et al 2007|http://adsabs.harvard.edu/abs/2007ApJ...667L.109D] proposed a FWHM of 2.5 pixels (i.e. 56 mA)  in orbit given that the FWHM is 1.956 pixels in laboratory and [Brown et al. 2008|http://adsabs.harvard.edu/abs/2008ApJS..176..511B] give us between 54mA and 57mA depending on the wave band and the wavelength.\\

Is there any instrumental profile available?\\

Is it a Gaussian profile? What is the width commonly used ?\\


--[Celine Boutry], 16-Jan-2009

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Hi Céline,

I think the answer may be in your question, actually.

The Doschek ''et al.'' article states a single number, but that is based on comparisons with older data. However, it is still consistent with the numbers derived from comparing the pre-launch laboratory EIS calibration data with the on-orbit EIS data by Brown ''et al.'' (2008). The Brown ''et al.'' numbers are inferred widths, but the reasoning is pretty logical; the fact that the Doschek ''et al.'' (2007) number falls within that range of 0.054nbsp;— 0.057nbsp;Å is comforting.

In summary, Brown ''et al.'' (2008) assume a Gaussian instrumental line profile, and they infer an instrumental width of 0.054 Å in the short-wavelength channel (170 — 210 Å) and 0.057 Å for the long-wavelength channel (250 — 290 Å).

%%strike __NOTE!__ However, the instrumental width that is discussed by Brown ''et al.'' is __not__ the FWHM of the instrumental width, but rather the (1/e)%%sup -1/2%% half-width σ that naturally falls out of the Gaussian function: %%

__NOTE!__ As Céline Boutry points out, this is the FWHM of the instrumental width, not the Gaussian width σ as previously incorrectly stated here. 

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Hi,

Thank you for your answer. I have to say that I'm puzzled about which kind of width is discussed in the papers.

About the Brown ''et al'' 2008 paper, they wrote : "The thermal Doppler FWHM is given by Δ%%sub D%%=7.162× 10e(-7)λ(T/M)%%sup 1/2%%". The 7.162× 10e(-7) coefficient  is : 2 × (2 ln(2) )%%sup 1/2%% × *(k%%sub B%%/u) %%sup 1/2%%×c

where u is the Atomic Mass Unit in kg, k%%sub B%% is the  Boltzmann constant and c is the Speed of light.
So Δ%%sub D%% is well a FWHM.

and then they wrote : "Δ=(Δ%%sub inst%%%%sup 2%%+Δ%%sub NT%%%%sup 2%%+Δ%%sub D%%%%sup 2%%)%%sup 1/2%%"

So Δ%%sub inst%% needs to be a FWHM to be homogeneous.

The value given just then is  Δ%%sub inst%%=0.055=(0.056%%sup 2%%-0.009%%sup 2%%)%%sup 1/2%% which is consistent with the Doschek ''et al'' value if it is the FWHM but not if it is the gaussian σ.

\\

So, I don't understand your comment that this value in Brown ''et al'' is the gaussian σ and not the FWHM.

--[Celine Boutry], 21-Jan-2009

Hi, Céline.

Vous avez raison! :-)

I looked at my original notes, and you're quite right: the σ-to-FWHM factor is included. 

I've amended the above to show this now. Thanks.

--[Dave Williams|DavidRWilliams], 22-Jan-2009