What is Spectrum: Definition and 764 Discussions

A spectrum (plural spectra or spectrums) is a condition that is not limited to a specific set of values but can vary, without steps, across a continuum. The word was first used scientifically in optics to describe the rainbow of colors in visible light after passing through a prism. As scientific understanding of light advanced, it came to apply to the entire electromagnetic spectrum. It thereby became a mapping of a range of magnitudes (wavelengths) to a range of qualities, which are the perceived "colors of the rainbow" and other properties which correspond to wavelengths that lie outside of the visible light spectrum.
Spectrum has since been applied by analogy to topics outside optics. Thus, one might talk about the "spectrum of political opinion", or the "spectrum of activity" of a drug, or the "autism spectrum". In these uses, values within a spectrum may not be associated with precisely quantifiable numbers or definitions. Such uses imply a broad range of conditions or behaviors grouped together and studied under a single title for ease of discussion. Nonscientific uses of the term spectrum are sometimes misleading. For instance, a single left–right spectrum of political opinion does not capture the full range of people's political beliefs. Political scientists use a variety of biaxial and multiaxial systems to more accurately characterize political opinion.
In most modern usages of spectrum there is a unifying theme between the extremes at either end. This was not always true in older usage.

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  1. H

    Can someone explain angular power spectrum

    Hi I'm trying to get my head around this plot of the cosmic microwave background radiation. http://www.astro.ucla.edu/~wright/CMB-LCDM-w-WMAP.gif I've been searching all around to find out what exactly a angular power spectrum is. I know what an ordinary power spectrum is. I'm a second...
  2. edguy99

    Hydrogen spectrum hyperfine structure

    A detailed picture of the Hydrogen red line shows a lot of detail: The difference in the 2 largest peaks is the fine structure, the lamb shift is clearly noted, but what are the other 2 bumps just below the lamb shift in the upper chart. I was thinking hyperfine, but I don't think that...
  3. E

    What is analysis of the spectrum?

    I need blibiography of analysis of the spectrum I read in B. Green pp 113, but I no understand.
  4. Y

    Question about Possible Waveform in the Electromagnetic Spectrum

    Okay, I don't know if this is the proper place for this or not, so if it needs moved, move it. But here's my question. If the EM spectrum has no upper limit. Is it possible to have a waveform who's wavelength is twice the size of the known universe? This would put the observable universe within...
  5. Q

    Absorption Spectrum and Temperature

    I'm going through some notes and came upon a question... So, the absorption sepctrum can be seen when a gas sample is placed in the path of white incandescent light where the light absorbes descrete wavelengths. I read that only some of these absorption lines appear if the gas is cool, but...
  6. E

    Second-Order Field Strength Energy Spectrum of Spherical Shell

    what the energy spectrum to second order in the field strength for a spherical shell?
  7. T

    Spectrum Line Table: Color, Wavelengths, and Energies for Observed Spectra

    Homework Statement Prepare a table of spectral lines by color, with correct wavelengths, and corresponding energies for every line spectrum you observed. Pick one line spectrum and explain the order of color from least to most energeticHomework Equations I'm not quite sure what to do here. I...
  8. N

    Spectrum of a Linear Operator

    Homework Statement Let 1 \leq p \leq \infty and let (X,\Omega, \mu) be a \sigma-finite measure space. For \phi \in L^\infty(\mu) , define M_\phi on L^p(\mu) by M_\phi f = \phi f \forall f \in L^(X,\Omega,\mu). I need to find the following: \sigma(M_\phi) , \sigma_ap(M_\phi), and...
  9. M

    Exploring Star Spectra: A Beginner's Guide

    I'm doing a project about astronomy. I've never done one, I just jumped from quantum physics to here, so I don't think I know anything =.=. To start, I think I need some stars spectrum, but since stars are not as bright as the sun, I don't really know how to have them. Could someone give me some...
  10. P

    How Can Flux Measurements Reveal the Energy Spectrum of Cosmic Ray Muons?

    Hi, I've been measuring the flux of cosmic ray muons as a function of zenith angles. I have calculated the flux but do not know an equation to calculate the energy flux associated with it. My scintillator stops muons that are and below 150MeV if that's any help
  11. M

    Discovering Unknown Gases: Using Quantum Numbers for Spectrum Analysis

    Uhm...I'm doing some experiment with some unknown gas tubes. I have a spectrum when I use the grating. Can I, by some ways, use the quantum numbers to identify what the gas inside is...? I've heard of one method, but I could not find the name. Thank you in advance.
  12. P

    Emission Spectrum of elements other than Hydrogen

    *This isn't actually coursework but i was under the assumption that questions go to this forum* Homework Statement Hi, for while I've been under the impression that spectral lines of all the elements can be calculated. I did some research and found that there is a simple equation (Rydberg...
  13. D

    What are the common uses of spectrum tubes?

    The spectrum tubes work by runnig an electric current through a sealed tube containing gas. What common use of this method can you think of?
  14. D

    Can IR Rays Be Shifted Into the Visible Spectrum Using Simple Materials?

    Hi, I'm trying to think up a way to shift IR rays into visible light spectrum so that the human eye can effectively see the IR image. Is it possible to do such a feat with something as simple as goggles made from a special material (e.g. anti-stokes pigments)?? If not possible with such...
  15. S

    Projection operator in spectrum theory

    Homework Statement Show that if A is a normal operator in an n-dimensional vector space, and if A has r distinct eigenvalues a1,a2,...ar, then the projection operator onto the subspace with eigenvalue ai can be written as: Pi=[(A-a1)...(A-aa-1)...(A-ar)]/[(ai-a1)...
  16. R

    Frequency spectrum of the modulated signal g(t)

    Homework Statement Let the baseband signal be s(t)=cos(2πfst+π3), where fs=5kHz. Radio carrier is c(t)=sin(2πfct), where fc=100MHz. Using the amplitude modulation of g(t)=(1+s(t))c(t), what is the frequency spectrum of the modulated signal g(t)? What are the amplitude and phase shift of...
  17. J

    Rotation Spectrum of a diatomic molecule (QM)

    Homework Statement In the rotation spectrum of 12C16O the line arising from the transition l = 4 -> 3 is at 461.04077GHz, while that arising from l = 36 -> 35 is at 4115.6055GHz. Show from these data that in a non-rotating CO molecule the intra-nuclear distance is s ~ 0.113 nm, and that the...
  18. S

    Exploring Atomic-Sized Wavelengths in the Electromagnetic Spectrum

    Homework Statement What region of the electromagnetic spectrum contains wavelengths the size of an atom? (10^-10 meters) What frequency does this wavelength correspond to? Homework Equations velocity=wavelength(frequency) The Attempt at a Solution 3x10^8/1x10^-10=f i think i...
  19. H

    Non Zeeman spectrum broadening in magnetic field

    Hi Is there any other effect than the Zeeman effect that can broaden a spectral line in a magnetic field? /Johan
  20. G

    Stable orbitals/absorption spectrum

    calculating the stable orbitals for multielectron atoms is so complex that AFAIK it can't be done accurately. so how does the electron in the ground state 'know' that if it jumps to a certain energy level that it will be stable? (which it apparently does know since it 'knows' exactly what...
  21. X

    Fourier transformation: power spectrum

    Lots of works about the high-order harmonic generation in the intense laser-atom physics obtain the harmonic spectrum by Fourier transformation of the dipole moment d(t) (=\int\varphi\varphi^{*}z): p(\omega)=|\frac{1}{tf-ti}\int d(t)exp(-i\omega)dt|^{2} Here, I want to use the Monte-Carlo...
  22. P

    Supernova Ia Spectrum | Understanding Dark Energy

    Hi, I have an image of a graphic describing the spectrum of a supernova Ia, the problem is that I don't really know how to read it. I'd like to know if there's any importance in this image that can drive us to think about dark energy (or accelerated expansion). The explanation of the graph...
  23. D

    Energy Spectrum for Hamiltonian

    Homework Statement Find the energy spectrum of a system whose Hamiltonian is H=Ho+H'=[-(planks const)^2/2m][d^2/dx^2]+.5m(omega)^2x^2+ax^3+bx^4 I gues my big question to begin is what exactly makes up the energy spectrum. I know the equation to the first and second order perturbations...
  24. Cincinnatus

    Troubleshooting Power Spectra Analysis for Time Series Data

    This is more of a data analysis question than a mathematics question so feel free to move it to wherever you think it is most likely to be answered. I have some time series data that looks (just by eye) like it should have several peaks in its power spectrum. However, when I compute the power...
  25. S

    Why does irradiating a low pressure gas result in a continuous spectrum?

    Hi! The question is Suppose we are irradiating a sample of a low pressure gas and some of the radiation is absorbed. Some books say we will obtain a discontinuous spectrum! But if we are irradiating a sample of a low pressure gas we will have absorption and emission at the same time and the...
  26. E

    Grating, second-order spectrum and interference

    Homework Statement What is the minimum number of lines per centimeter that a grating must have if there is to be no second-order spectrum for any visible wavelength? (Let visible region extend from 400 nm to 570 nm.) Hint: Draw a diagram showing the relative positions of the rays corresponding...
  27. Z

    Effect of pressure on hydrogen spectrum

    I am interested in finding and understanding the relationship between the hydrogen spectrum (which of the lines are more intense) and the pressure that the hydrogen gas is under. Does hi-pressure gas mean lots of ultraviolet or hardly any? Is there a chart somewhere? TIA
  28. K

    Reading frequency spectrum / Fourier Transform and Power Spectra

    So I have a power spectrum of a given function, which is supposed to be a superposition of four sinusoidal terms with frequencies that range from 1xomega to 4xomega. My spectrum looks something like this: http://upload.wikimedia.org/wikipedia/commons/4/4f/Triangle-td_and_fd.png What exactly...
  29. I

    Identifying Hydrogen Spectrum Line

    URGENT spectrum lines Homework Statement A diffraction grating (with 10,000 lines per cm) is held 2 meters from a Hydrogen lamp (lamp which emits Hydrogen’s spectrum). As you look through the diffraction grating a blue line is observed to lie 1.11 meters on either side of the lamp. 1) What...
  30. F

    Electrical dark, and spectrum noise.

    I don't mean to violate any rules or conventions; these are questions pertaining to labs I'm doing as part of an undergrad degree. It's not homework, as such, so I've not put it in one of those forums But my apologies if this is incorrect. Anyhow; the experiment that bothers me is a...
  31. M

    Burning Elements - Visible Light Spectrum

    We did a chemistry experiment were we burned different metal chlorides on the bunsen to observe the different flame colors produced. Anyhow I'm writing up the report but there's one thing I'm not sure about. I can't make any mistakes because I made the mistake of displaying way too much...
  32. D

    How many wavelengths could appear in the spectrum of hydrogen atom

    How many wavelengths could appear in the spectrum of hydrogen atoms initially in the n=5 state?
  33. C

    Hydrogen spectrum calculations

    Homework Statement This is from Advanced Physics by Adams and Allday, part 8 Modern Physics, Practice Exam Question 15. The spectrum of atomic hydrogen contains a prominent red line having a wavelength of 6.60 x 10-7 m. Calculate the energy of a photon with this wavelength. The...
  34. T

    Electromagnetic Spectrum Problem Help

    Homework Statement As you drive by an AM radio station, you notice a sign saying that its antenna is 112m high. If this height represents one quarter-wavelength of its signal, what is the frequency of the station? Homework Equations c (speed of light) = f (frequency) x d...
  35. S

    Questions about the nature of the electromagnetic spectrum

    Hi I had some questions about the nature of the spectrum of electromagnetic radiation, as to whether it is continuous or quantifiable, and whether it is infinite or finite. I haven't been able to find satisfactory answers so far and I'm very interested in the knowledge of this forum. Can the...
  36. E

    Chemistry H NMR Spectrum - Molecular Structure

    Homework Statement Give the structure of C8H8O3.Homework Equations IR tells us that there is an OH group and a C=O group Degree of saturation = 5 --> Benzene ring + C=O H NMR spectrum shows: Peak at ~7.8ppm integrating for 1H and is a doublet Peak at ~7.45ppm integrating for 1H and is a...
  37. I

    How could vary the Helium emission spectrum?

    In a condition of high pressure, how could vary the Helium emission spectrum? Is this spectrum modified from the pressure?
  38. ~christina~

    Why Do Absorbance Values Change in the Difference Spectrum of 4-Nitrophenol?

    Difference Spectrum of 4-nitrophenol Homework Statement difference spectrum of 4-nitrophenol Difference spectrum obtained has y-axis coresponding to \Delta Absorbance. Consider shape and absorbance values over chosen range of wavelengths. Use beer lambert relationship, explain why...
  39. J

    Real spectrum, not self-adjoint

    Let X be a C^*-algebra. I know that if x\in X is self-adjoint, then its spectrum is real, \sigma(x)\subset\mathbb{R}. I haven't seen a claim about the converse, but it seems difficult to come up with a counter example for it. My question is, that is it possible, that some x\in X has a real...
  40. L

    Sketching the spectrum of a cosine wave

    Homework Statement An amplitude-modulated cosine wave is represented by the formula x(t) = [ 10 + cos(2*pi*(2000)*t) ] * cos(2*pi*10^4*t) Sketch the two-sided spectrum of the signal. Be sure to label important features of the plot. The Attempt at a Solution x(t) = 10 * cos(2*pi*(2000)*t) +...
  41. G

    Identifying Cepheid Variables from Spectrum

    Hi all, Recently I came across an interesting question: "...Why do astronomers attribute the observed Doppler shifts of a Cepheid variable as pulsation, rather than to some other causes, such as orbital motion? " OK, I have my ideas about the problem as there is a correlation between e...
  42. C

    How Can I Remember the Electromagnetic Spectrum Order?

    Does anyone have a good mnemonic to remember Electromagnetic Spectrum either according to increasing wavelength or frequency? Thanks!
  43. B

    Exploring Visible Spectrum of Light: Seeking Advice

    im doing an extended essay at school and i am loooking for help to adjust/refine my ideas. basically I am investigating properties of the visible spectrum of light. one idea is that the size that each colour has within the spectrum green, large, yellow, small corresponds to there...
  44. I

    Why Iron Produces Green Light in Visible Spectrum

    Homework Statement Iron produces many lines in the visible spectrum when given energy. Suggest why a sample of iron sulphate only produces lines in the green section of the spectrum. Sorry if it doesn't sound very scientific, I am recalling the question from memory since I've already handed...
  45. Reshma

    What Should You Consider When Choosing an Optical Spectrum Analyzer?

    Hi.. My department is considering to purchase an Optical Spectrum Analyzer (OSA). I had run a search on GlobalSpec, but I am really getting confused over the hundreds of spectrum analyzers available. I am looking for a diffraction-grating based analyzer that covers a broad range of...
  46. J

    Medical Autism and Autistic Spectrum Disorders

    This is a link to a different thread. I hope that's ok. As the parent of an autistic child, I have a few differences of opinion with Mr. Savage. While it is true that his comments were taken somewhat out of context, they are still wrong even when that context is supplied. Note that he spoke at...
  47. D

    Is the spectrum of a BPSK signal symmetrical about the carrier frequency?

    I did some simulations where I created a BPSK signal, and then found the spectrum of the signal. The spectrum had a peak at the carrier frequency. It also had peaks at regular intervals frequencies higher than the carrier frequency. There were no peaks at frequencies lower than the carrier...
  48. P

    Spectrum Filtering based on discrete convolution

    Hi, there! That's probably the most relevant forum thread where I can consult pros about my problem. Well, I'm a visual programmer and quite far of Spectra Physics to what my issue's dramatically related to. Specifically, I need to implement in C# the frequency-domain signal filtration (with a...
  49. D

    Understanding the Electromagnetic Spectrum: A Comprehensive Guide

    hello can you help me with my homework regarding electromagnetic spectrum and the answering the following questions thank you. 1. define the topic 2. describe the subject matter 3. explain how it works 4. diagram to support explanation thank you
  50. O

    Finding a Moon Spectrum Graphic: Can You Help?

    I'm looking for a picture like this http://lasp.colorado.edu/~bagenal/1010/graphics/jupiter_spect.gif but with the spectrum of the moon instead. ¿Can someone help?
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