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Δμ E ρ = f i Δμ E ρ i , E + Δμ E ρ i , E size 12{ left ( { {Δμ rSub { size 8{E} } } over {ρ} } right )= Sum {f rSub { size 8{i} } left [ left ( { {Δμ rSub { size 8{E} } } over {ρ} } right ) rSub { size 8{i, left (E rSub { size 6{+{}} } right )} } - left ( { {Δμ rSub {E} } over { size 12{ρ} } } right ) rSub {i, left (E rSub { size 6{ - {}} } right )} right ]} } {}

Sample preparation

As was described in last section, there are diluted solid samples, which can be prepared onto big substrates or concentrate solid samples which have to be prepared in thin films . Both methods are following described.

Liquid and gases samples can also be measured, but the preparation of those kind of sample is not discussed in this paper because it depends in the specific requirements of each sample. Several designs can be used as long they avoid the escape of the sample and the material used as container does not absorb radiation at the energies used for the measure.

Method 1

  1. The materials needed are showed in [link] : Kapton tape and film, a thin spatula, tweezers, scissors, weigh paper, mortar and pestle, and a sample holder. The sample holder can be made from several materials, as polypropylene, polycarbonate or Teflon.
    Several tools are needed for the sample preparation using Method 1.
  2. Two small squares of Kapton film are cut. One of them is placed onto the hole of the sample holder as shown [link] a. A piece of Kapton tape is placed onto the sample holder trying to minimize any air burble onto the surface and keeping the film as was previously placed [link] b. A side of the sample holder is now sealed in order to fill the hole ( [link] ).
    Preparing one face of the sample holder by (a) positioning a small piece of Kapton film onto the hole, which is held in place by Kapton tape (b).
    The side of the sample holder is closed.
  3. Before fill the sample holder, make sure your sample is a fine powder. Use the mortar to grind the sample ( [link] ).
    The sample is ground to be sure the grain size of the sample is homogeneous and small enough.
  4. Fill the hole with the powder. Make sure you have extra powder onto the hole ( [link] a). With the spatula press the powder. The sample has to be as compact as possible ( [link] b).
    The sample holder is filled by (a) adding extra powder onto the hole then (b) compacting the sample with the spatula.
  5. Clean the surface of the slide. Repeat the step 2. Your sample loaded in the sample holder should look as [link] .
    Sample loaded and sealed into the sample holder.

Method 2

  1. The materials needed are showed in [link] : Kapton tape, tweezers, scissors, weigh paper, mortar and pestle, tape and aluminum foil.
    Several utensils are needed for the sample preparation using Method 2.
  2. Aluminum foil is placed as the work-area base. Kapton tape is place from one corner to the opposite one as shown [link] . Tape is put onto the extremes to fix it. In this case yellow tape was used in order to show where the tape should be placed but is better use Scotch invisible tape for the following steps.
    Preparation of the work-area.
  3. The weigh paper is placed under the Kapton tape in one of the extremes. Sample is added onto that Kapton tape extreme ( [link] ). The function of the weigh paper is further recuperation of extra sample.
    Add the sample onto an extreme of the Kapton tape.
  4. With one finger, the sample is dispersed along the Kapton tape, always in the same direction and taking care that the weigh paper is under the tape area is being used ( [link] a). The finger should be slid several times making pressure in order to have a homogeneous and complete cover film ( [link] b).
    Making a thin film with a solid sample by (a) dispersing the solid along the Kapton tape and (b) repeated sliding several times to obtain a homogeneous film.
  5. The final sample covered Kapton tape should look like [link] . Cut the extremes in order to a further manipulation of the film.
    A complete thin film.
  6. Using the tweezers, fold the film taking care that is well aligned and there fold is complete plane. [link] a shows the first folding, generating a 2 layers film. [link] b and [link] c shows the second and third folding, obtaining a 4 and 8 layers film. Sometimes a 4 layers film is good enough. You always can fold again to obtain bigger signal intensity.
    Folding of the thin film simple once results in a two layer film (a) and after a second and third folding four and eight layers films are obtained (b and c, respectively).

Bibliography

  • B. D. Cullity and S. R. Stock. Elements of X-ray Diffraction , Prentice Hall, Upper Saddle River (2001).
  • F. Hippert, E. Geissler, J. L. Hodeau, E. Lelièvre-Berna, and J. R. Regnard. Neutron and X-ray Spectroscopy , Springer, Dordrecht (2006).
  • G. Bunker. Introduction to XAFS: A practical guide to X-ray Absorption Fine Structure Spectroscopy , Cambridge University Press, Cambridge (2010).
  • S. D. Kelly, D. Hesterberg, and B. Ravel in Methods of Soil Analysis: Part 5, Mineralogical Methods , Ed. A. L. Urely and R. Drees, Soil Science Society of America Book Series, Madison (2008).

Questions & Answers

differentiate between demand and supply giving examples
Lambiv Reply
differentiated between demand and supply using examples
Lambiv
what is labour ?
Lambiv
how will I do?
Venny Reply
how is the graph works?I don't fully understand
Rezat Reply
information
Eliyee
devaluation
Eliyee
t
WARKISA
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Lambiv
multiple choice question
Aster Reply
appreciation
Eliyee
explain perfect market
Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
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Shukri
Can I ask you other question?
Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
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Shukri
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Lilia Reply
what is the difference between economic growth and development
Fiker Reply
Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
Abdisa Reply
any question about economics?
Awais Reply
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
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Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
Gsbwnw Reply
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
types of unemployment
Yomi Reply
What is the difference between perfect competition and monopolistic competition?
Mohammed
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Source:  OpenStax, Physical methods in chemistry and nano science. OpenStax CNX. May 05, 2015 Download for free at http://legacy.cnx.org/content/col10699/1.21
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