Diffraction Definition and 1000 Threads

Does anyone have a good book that explains X-ray diffraction theory well? Stuff like interference calculations, reciprocal space, diffracted amplitudes and intensity, and the Debye formula.

Hi there. It's not actually a problem, I was just trying to figure it out, so idk if this is the right section for this post, but anyways: I've managed to derive the expression for the Fraunhofer diffraction in a single slit, such that the distance between a minimum and the central point is...

Homework Statement Trying to find the number of diffraction maxima and the width of the whole pattern. \lambda = 500nm b = 2.8μm (Slit Width) f = 100mm r = 25mm L = 25mm (Slit to Lens) Homework Equations I have the worked out the irradiance formula as: I(\theta)=I_0...

I'm looking at the explanation for single slit Fraunhofer diffraction, in particular the location of the intensity minima. a is the slit width, lambda is the wavelength and theta is the angle. By dividing the slit into two parts and viewing the wavefront as a sum of many small sources i can see...

Hi, my friends. Today, I come up with a question suddenly. It is about Sound diffraction. why can we hear someone's voice even when he is in a closed office. Many books says that it is because of Sound diffraction. But I can't understand. how does it happen? would you be so kind to explain it...

Hey, I'm having trouble finding a clear answer anywhere. When you have a x-ray diffraction pattern, do the dark spots correspond to the positions of atoms? Or do they represent the position of atoms in reciprocal space or something like that? It would seem natural to assume that the peaks are...

Hello, This is a multi-part question that stems from understanding how X-ray diffraction occurs in crystals (eg. protein crystals). 1. Diffraction occurs when Bragg's Law is satisfied, but I'm sure the waves aren't actually being reflected. The x-ray's are scattering. What type of...

Hello, I was wondering if anybody knows of some studies or recent work showing the diffraction patterns observed when shining a laser on buckminsterfullerene. The curiosity stems from the idea that its more-or-less "spherical" structure and uniform composition might lend some intriguing (and...

In single slit fraunhofer diffraction, only the light which goes near the slit is diffracted... If it goes just through the middle it will not be... If the slit is really small would light be diffracted even if it goes through middle?And do all light waves that go near the slit diffract? Does...

Homework Statement A set of narrow vertical slits is located a distance D from a screen. The slits are equally spaced and have the same width. The intensity pattern in the figure is observed when light from a laser passes through the slits, illuminating them uniformly. The screen is...

My group project over the next year will be on diffraction, so as part of our project plan my group needs to decide what experiments we'd like to do. I know the bare essentials of what diffraction is, but not in much depth (I'm trying to rectify this!) and was hoping for some suggestions for...

Homework Statement A car passes you on the highway and you notice the taillights of the car are 1.22 m apart. Assume that the pupils of your eyes have a diameter of 7.1 mm and index of refraction of 1.36. Given that the car is 14.1 km away when the taillights appear to merge into a single...

Homework Statement Plane light waves are incident on a single slit of width 2.45 cm. The second dark fringe is observed at 44.3° from the central axis. What is the wavelength of the light? Homework Equations θ=pλ/a... where theta is in radians, p =2 (second light minimum), and a = slit...

When the electromagnetic wave propagates in air and it meets the object with the size less than the wavelength then this wave simply pass around this object and continues its way as if this object does not exist at all. Now imagine such situation. The antenna emit the radio waves with the...

[Lab]difference between "diffraction grating" and "linear polarizer" ? I'm recently looking for optical devices to do some experiments at home, like diffraction and polarization, but when I turn to Amazon for the goods, I found that both the sheets I want are marked: 500 lines/mm -- diffraction...

Homework Statement The Moon is about 4x10^8 m from the Earth and has a diameter of about 3.2x10^6 m. You want a radar which just covers the Moon with the central spot of its diffraction pattern. If the radar has a wavelength of 16.5cm , what is the diameter of the radar antenna? Homework...

Homework Statement Light of wavelength 588 nm illuminates a single 0.70 mm wide slit. At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 1.82 mm from the central maximum? Homework Equations Im not sure on the equation, someone...

Homework Statement Parallel rays of green mercury light with a wavelength of 546 nm pass through a slit covering a lens with a focal length of 60.0 cm. In the focal plane of the lens the distance from the central maximum to the first minimum is 10.2 mm. What is the width of the slit...

Hello. I have been studying interference and diffraction and one doubt has appeared. When you consider the double slit experiment forgeting the effects of diffraction you get the following equation for intensity I^{}=4I_{0}cos^{2}(\frac{πdsin(θ)}{λ}) where d is the distance between the...

http://en.wikipedia.org/wiki/File:Doubleslit.gif As shown in the link, diffraction is shown in the form of these kind of longitudinal waves. The diffraction pattern explains the wave interference pattern observed in the double slit experiment. However in the case of the delayed choice double...

question 1) If "d" is the grafting constant "spacing between 2 slits on a grating), hwo can we obtain the ruling (number of grooves per meter) "D"? 2) Illistrate order of diffraction

Hi guys, I just did an experiment about electron diffraction the other day, and I had a really difficult time measuring the radii of the rings because they were quite blurred at the edges. Anyone knows why they are so blur, especially for the first (innermost) ring?

Homework Statement Two diffraction gratings are stuck together, both with vertically aligned slits. Grating A has S1 slits and B has S2 slits. What is the new equivalent grating that is the product of two of the diffraction gratings above? (s1>s2>>>1) Homework Equations a. N* = 1/d...

hi All, I got to thinking recently about diffraction; through an opaque slit for example, causes a normal diffraction pattern which is well described in texts. However, what happens when you have slit transparent to the light which is going through it. Obviously, the light passes through the...

Homework Statement A diffraction grating with 500 lines per mm is held directly in front of the lens of a digital camera, with a bright white light source 8m away. The image recorded by the camera shows both the light source and the spectrum created by the light source. We know that the CMOS...

Hello experts! I have some questions related to the X-Ray Diffraction using Laue's treatment. I have attached some images. I have marked in red what I want to ask. Kindly tell me where did these equations come? Is there any low level physics included too, if so then kindly guide me...

Homework Statement Monochromatic light of wavelength 694. nm is incident on a diffraction grating with 2192 lines per centimetre. What is the highest order maximum that can be observed? Homework Equations dsinθ = mλ The Attempt at a Solution d = 2192/cm = 21.92/m λ = 694 x 10...

i was going through the diffraction experiment and had a question that i would like to ask: suppose i am performing the diffraction experiment using a single electron,firstly how the energy contained in electron in terms of its physical properties such as charge,angular momentum and spin can be...

Hello. Lets say we have 2 small holes (1&2) which makes tiny light beam from the Sun's light. (similar to laser beam) ......1|......|2... (Sun) -> >-------------------------------------|dg|-----{order 0}-------(Earth) ......1|......|2... |dg| is diffraction grating perpendicular to the light...

I have looked through my optics textbook and many websites about single-slit diffraction. They all end up deriving an equation that looks something like this: I = I0*(sinc(B))2, where B = (1/2)*k*b*sin(theta), k = wavenumber, b = slit width. I don't know if there's something I'm not...

I'm sure someone has tried this, and I'm sure there's a reason it's not something that is widely used, but here's a question: Can a logical NOR gate be created by shining two lasers (an A and B input) through tiny slits (like the double-slit experiment), and determining an output at a known...

Parallel laser light with wavelength 633 nm are incident perpendicular against a double slit. 2.50 m behind the double slit is a screen where the pattern can be seen (link below). Determine with the help of the figure the slit-with and slit-distance...

Homework Statement The X-rays diffraction diagramm of a cubic crystal shows lines for the following angles 2 \delta = 31.47º, 39.74º, 47.58º, 64.71º and 77.59º when the X-rays have a wavelength of 1.54 \times 10 ^{-10}m. Determine the crystal stucture of the net, the Miller indices of the...

I was having a discussion with someone far more expert than I and for whom I have a lot of respect. He was telling me that the path loss of a radio signal from A to B is not necessarily the same as it is from B to A. One of the reasons he mentioned is diffraction over a knife edge which in...

Homework Statement Question: Blue light of wavelength 485.6nm from a star is incident normally on a diffraction grating. The light is diffracted into a number of beams, as shown in Fig 5.4.(attached) The angular separation of the two second-order beams is 45.72 degrees. Calculate the...

Homework Statement A monochromatic plane wave is normally incident on a diffraction grating with 105 lines/m. For what visible wavelengths would this grating produce a maximum at 11°. Homework Equations d*sinθ = m*λ The Attempt at a Solution d = 1 x 10-5 m I don't get how to...

Question: Light from a slit passes through a transmission diffraction grating of 475 lines/mm, which is located 2.8m from a screen. What are the distances on the screen (from the unscattered slit image) of the three birghtest (first-order, n=1) hydrogen lines for red 657nm, blue-green 486nm...

Thin film diffraction -- need help to start Homework Statement I attached a picture of the problem, could anyone tell how I would begin to proceed with this problem? I believe that it is more complicated than simply a Snell's law problem, due to the thin film of oil. Thanks for your...

I find this hard to believe. I do not have access to the Nature article below.But would like to know more detail of what was done or see a copy of the Nature article. Wikipedia: "In 1999, the diffraction of C60 fullerenes by researchers from the University of Vienna was reported" ...

θHomework Statement Two gratings A and B have slits separations dA and dB, respectively. They are used with the same light and the same observation screen. When grating A is replaced with grating B, it is observed that the first-order maximum of A is exactly replaced by the second-order...

Homework Statement When a monochromatic light of wavelength 600 nm is viewed 2 m away through a diffraction grating, two similar lamps are observed, one on each side of it, and each 0.30 m away from it. Calculate the number of lines in the grating Homework Equations sinθ = (n*λ)/d...

Homework Statement What is the angle of the first order diffraction, m=1, when X-rays diffract from a crystal in which a spacing between atomic planes is 0,175nm? The 2nd diffraction, m=2, occurs at 45o. Homework Equations Δr=2dcosθm=mλ m+1/m = cos45/cosθm , because when the m...

Question: What is the highest order of interference maximum that can occur when monochromatic light with a wavelength of 560 nm illuminates a diffraction grating with 4000 lines/cm? Attempt: I thought this seemed really easy, but my answer was incorrect. λ=560nm Since there are 4000 lines...

Homework Statement Monochromatic beam of incident light on the surface of the glass wedge, whose upper edge is inclined at an angle of γ = 0.05 ° from the base. In reflected light observe a number of interference fringes, the distance between adjacent dark streaks is △X = 0.21 mm. Calculate...

Homework Statement A single slit, 1400 nm wide, forms a diffraction pattern when illuminated by monochromatic light of 490 nm wavelength. The largest angle from the central maximum at which the intensity is zero is closest to: A) 44° B) 38° C) 35° d = 1400 nm, lambda = 490 nm...

Homework Statement A grating has 728 lines per centimeter. Find the angles of the first three principal maxima above the central fringe when this grating is illuminated with 680 nm light. Homework Equations Our teacher briefly told us that N = # of slits / cm and that d sin θ = mλ, and...

Hi all, I am trying figure out this diffraction problem. I have to find the intensity distribution of a four slit fraunhofer diffraction grating using the convolution theorem. I can do the math and all...but I do not know how to start it! The only information I am given is the slits have...

Homework Statement This question is pretty interesting, but a bit long, so bear with me http://www.xtremepapers.com/CIE/International%20A%20And%20AS%20Level/9702%20-%20Physics/9702_w07_qp_2.pdf question 5 part c For (i) The width of each slit is increased but the separation remains...

Homework Statement Im having a bit trouble with diffraction gratings lately, with sums like this: A parallel beam of light of wavelength 450 nm falls normally on a diffraction grating which has 300 lines /mm. What is the total number of transmitted maxima? A 7 B 8 C 14...

I've asked this question about 4 times on yahoo but no one seems to have the brains to answer it! Looking at the diagram: Just trying to get a better understand of "λ = asin Ѳ" I've marked what I think is the wavelength...can someone please advise? as I'm trying to get a report done...