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. J

    Explaining the Unexpected Spikes in a Quantum Well Absorption Spectrum

    I'm looking in a textbook at a discussion of a semiconductor quantum well which is being irradiated and an absorption spectrum produced. Electrons are being promoted across the band gap and holes are being created. There are heavy hole and light hole transitions, and the spectrum shown rises in...
  2. M

    Composition of the sun and spectrum of light

    I understand that the sun is made of 91% hydrogen, 8.7% Helium, and 0.3% other stuff. I looked up the atomic spectrum for helium and hydrogen [within the visible portion] and they leave most of the spectrum blank, albeit few lines of colour here and there, yet the white light that reaches us has...
  3. G

    Structure using Proton NMR Spectrum

    Homework Statement Draw the skeletal structure of the compound with molecular formulaC3H4Cl4 whose proton NMR spectrum contains a down-field triplet and an up-field triplet with relative integration of 2:2. 2. Rationale for Solution Integration ratio of 2:2 means CH2-CH2, after this one carbon...
  4. B

    Calculating the Energy Spectrum in a Hamiltonian: Tips and Techniques?

    Hi everyone, I'm having some problems with this topic. how to numerically calculate the energy spectrum for a certain Hamiltonian? eg., in a periodic potential or disordered potential: \widehat{H}=-\frac{\partial^{2}}{\partial x^{2}}+cos(x)+V(x) Thanks for your time and attention.
  5. C

    Reasons for unusual infrared spectrum?

    In my organic lab we recently isolated and crystallized the natural product usnic acid from dried lichen. An IR spectrum of the crystals dissolved in mineral oil was obtained, but it came out looking a bit strange. The thing that's really confusing me is that there is no band that would be...
  6. I

    A few questions about the electromagnetic spectrum

    Can any wavelength of the electromagnetic spectrum cause objects to heat up? If you shined a bright enough flashlight at someone through a vacuum, would they start to feel warmer? What about if you directed radio waves at someone (If they were intense enough)? Could that cause them to heat up...
  7. L

    Find spectrum given a potential. I have the solution, just need explanation.

    Homework Statement My teacher posted this solution. It is exactly what I had, except I did not have 4Pi in the numerator. Rather, I had 2 instead of 4, and I didn't have Pi. The solution manual has had mistakes before, so I am wondering if that's what the case is here. Every other step, I had...
  8. B

    Doppler effect of light spectrum

    When we first realized that the further away a galaxy is the further towards the red side of the spectrum it was, we beleived this to be do to the expansion of the universe? Wouldn't it have been simplier to say that the further away a galaxy was the further the wave function stretched over...
  9. F

    Emission spectrum for Helium

    Homework Statement The numbers following are the results of a lab experiment to find the spectral lines of Helium in a gas discharge tube. The lines I got were roughly: 703nm, 660nm, 590nm, 500nm, 490nm, 470nm, 450nm. The question is, what possible electron transitions could the...
  10. F

    Wavelength, emission spectrum, electron transitions

    Homework Statement Determine the wavelength (in nm, to one decimal place) of the line in the emission spectrum of the He+ ion produced by a transition from n = 3 to n = 1. Homework Equations I used the Rydberg equation for this, although I'm not sure it is the correct one to use...
  11. rhody

    Needed: Low cost, USB Spectrum Analyzer/Osciliscope for use with a PC

    I am posting this for an EE engineer friend, need suggestions/link(s) to a USB Spectrum Analyzer. The more compact the better... Thanks in advance... Rhody...
  12. P

    Spectrum of angular momentum operators

    Homework Statement I am trying to understand the allowed eigenvalues for the angular momentum operators J and L. In particular why, mj can take integer and half-integer values whereas ml can take only integer values. Homework Equations I have learned about angular momentum operators as...
  13. T

    Q. What is the electromagnetic spectrum and how is it described?

    Hi... I m unable to find the answer for these questions... Q. What are electromagnetic waves? State its properties. Q. What is electromagnetic spectrum? Describe complete em spectrum from gamma rays to radiowaves in terms of frequency,wavelength,production, atleast 2 properties...
  14. L

    Spread spectrum clock generator

    I was reading an article on spread spectrum clock generator here - http://www.maxim-ic.com/app-notes/index.mvp/id/1995 Wouldn't spreading the frequency from the center frequency affect the data transfer? In case of a CPU, the speed would vary too. I understand spread spectrum in...
  15. C

    Emission Spectrum - Does Energy Always Transfer in Photon Form?

    Hi all I'm unsure about something and so would like to pose the following question. When an electron moves to a lower state it emits energy in the form of a photon. But in order to get excited into this higher state it must first receive a minimum amount of energy. Is the energy received...
  16. P

    MATLAB Matlab-Plot Power Spectrum of time series

    Hi all, and thank you for reading/responding to my thread.I have a problem which involves time series and its power spectra. Some background: I have an 10.000xN matrix(called matr) whose columns are individual time series with real data values and I want to plot their power spectra...
  17. M

    Spectrum Analyzer + PC: Interface & Contact Info

    Hi everyone, i want to operate spectrum analyzer by pc or laptop. Is there such interface of spectrum analyzer and pc possible? If yes, then how? Tell me the name and contact detail of person who have make such interface..
  18. D

    Calculating the Phase Spectrum from a Fourier Transform

    Hi! I'm trying to understand how do i get the phase spectrum from a Fourier Transform. From this site http://sepwww.stanford.edu/public/docs/sep72/lin4/paper_html/node4.html#lin4_swhfactm this statement "The phase spectrum is usually calculated by taking the arctangent of the ratio...
  19. T

    Can You Share Information on Raman Spectroscopy for Graphene?

    can anyone explain what is d band and g band in the Raman spectrum of graphene?
  20. haushofer

    Traceless metric in string spectrum

    Hi, I've got a (confusing) question about string theory. Analyzing the massless modes of the closed string gives me three fields, which correspond to the fact that reps of the group SO(D) (or SO(D-1,1) ) can be breaken apart into three irreps: *A symmetric traceless part *An...
  21. TrickyDicky

    CMB Power Spectrum and Angular Power Spectrum Plot from WMAP

    Anyone knows if the CMB map of anisotropies from WMAP is used to implement the angular power spectrum plot(acoustic peaks)? I'm not sure, but I tend to think it is not.
  22. R

    What is meant by first momentum of energy spectrum (ES)

    Hello all, I wanted to know what is meant by first momentum of energy spectrum (ES), second momentum of ES, and also third momentum of ES. It will be nice with some references, books, etc. thanks
  23. S

    Coulomb correction for beta decay spectrum

    Hello I am re-reading some of my old textbooks and have come across a simplified (non-relativistic) term used to correct the beta decay spectrum for the coulomb effect of the nucleus on the ejected beta particle. The expression is; F(Z,E) = (2*Pi*n) / (1 - exp(-2*Pi*n)) where n =...
  24. S

    The spectrum of a double pulse

    Hi everyone, I was working recently with a Michelson interferometer and measured the spectrum of the two pulses and see how the fringe spacing of the spectrum change as I change the position of one of the two mirrors in the interferometer, that is the time interval between the two pulses. I...
  25. L

    MATLAB .Explaining the Y-Axis Units of Spectrum Density Calculated by MATLAB

    Recently we have received a revision of one manuscript. One reviewer request an explanation of the units of the y-axis of the spectrum density (calculated through fft MATLAB algorithm). As we are not physics or mathematic we have troubles to perform an appropriate response. The units that...
  26. E

    The Light Spectrum: Exploring Human Vision and Beyond

    A question about our vision Hi, I'm new here and this is the first time to post on this forum. I am really interested in physics and planning to major in mechanical engineer once I apply to colleges soon. However, I have a question that you people could either end the discussion quickly or...
  27. gn0m0n

    Studying 1D Particle in Potential V=-Fx: Energy Spectrum & Wavefunctions

    Homework Statement This is from an old exam I'm studying from. It goes: "A particle of mass m is traveling in one dimension under the influence of a potential V = -Fx where F is a known constant. Find the energy spectrum and wavefunctions. Hint: You may want to work in momentum...
  28. A

    Beginning Split Spectrum Processing

    I am new to this and am trying to implement Split Spectrum Processing (Delta-K processing) to ENVISAT ASAR coregistered images. Am using IDL for this, which is quite similar to MATLAB. Does anyone have some information on how to go about this as I am not able to understand the relation between...
  29. R

    Shifting atomic spectrum

    Can the absorption spectrum of an atom be shifted significantly using electric or magnetic fields ? such that to turn red to blue or something ? Another question, can atoms be excited to a certain energy level by applying external fields only with calculated energy ? thanks
  30. O

    X-Ray Spectrum of Copper Tube at 20kV

    Homework Statement Sketch and label the x-ray spectrum for an x-ray tube with copper as its target, operating at an excitation potential of 20kV.Assume that the copper energy levels are K shell=-9000ev,L shell=-1000ev,M shell=-200ev. Homework Equations This question has me a bit...
  31. F

    How does Sampling affect a Spectrum?

    Hi, I tried sampling s(t)=sin(400\pi t) + 0.5cos(12000\pi t) at 10000Hz (below the Nyquist sampling rate) in MATLAB and plotted the spectrum, I found that it had frequencies at +-200Hz (same as the continuous signal version) and +- 4000Hz(instead of 6000Hz in the...
  32. F

    What is the spectrum of a signal sampled at 10KHz?

    Homework Statement Hi, I need to find the spectrum of s(t)=sin(400\pi t) + 0.5cos(12000\pi t) when sampled at 10KHz.Homework Equations Using the Discrete Fourier Transform: G_{k}=\sum_{n=0}^{N-1}s_{n}e^{\frac{-j2\pi kn}{N}} where N is the amount of samples taken in the signal duration which...
  33. J

    X-rays and their emission spectrum

    About the intensity of x-ray emission spectrum of Molybdenum as a function of wavelength for various applied voltages: Explain fully: 1) the production of continuous radiation emitted 2) the absence of radiation of wavelength shorter than the minimum wavelength 3) the presence of the...
  34. F

    Finding the Spectrum of a Function with Exponential and Trig Terms

    Homework Statement Hi, I need to find the spectrum of the following function: i=I_0[e^{\frac{-0.01(cos(2\pi 1000t)+cos(2\pi 100000t))}{0.026}}-1]Homework Equations the Fourier Transform would be: \int_{-\infty }^{\infty }I_0[e^{\frac{-0.01(cos(2\pi 1000t)+cos(2\pi...
  35. C

    Hydrogen Spectrum: Blue Line w/ 434nm Wavelength

    Homework Statement The hydrogen spectrum contains a blue line with a wavelength of 434nm. Photons of blue light are emitted when hydrogen's electron drops from the fifth energy level to a lower energy level. What is the lower energy level? Homework Equations 1/wavelength = R [ 1/n2^2 -...
  36. A

    Reading a spectrum graph for vibration analysis

    Hi all, I am confused with the amplitude at 1x, 2x, 3x frequency. The 1x, 2x and 3x is the harmonic (or mutiples) of the original frequency, meaning that if the shaft is turning at 1500rpm, then 2x will be the amplitude at 3000rpm and 3x will be the amplitude at 4500rpm right? But how will...
  37. K

    How to read a Gamma Ray Spectrum

    For some of my work, I am investigating methods of scanning for nuclear material. As part of my study, I have run across Gamma Ray Spectroscopy: http://en.wikipedia.org/wiki/Gamma_spectroscopy" What I am having trouble with is reading a gamma ray spectrum (I am a software engineer with a...
  38. F

    MATLAB Human Voice Spectrum using Matlab

    Hi, I'm trying to compare the spectrum of male and female voices using Matlab. I'm using this code but I get this error: --------------------------------- Warning: SPECTRUM is obsolete and will be removed in future versions. Use the spectrum objects instead, type "help SPECTRUM". > In spectrum...
  39. T

    Spectrum, banach algebra

    Homework Statement How to show element of finite dimensional banach algebra has finite spectrum? Homework Equations spectrum(x) = set of complex numbers 'c' with cI-x not invertible, I is identity The Attempt at a Solution please help to start, I don't know
  40. G

    Graphing Frequency Spectrum of Signal Over Time

    I am trying to graph the frequency spectrum of a signal over time. To do this, for each frequency I use a filter defined by the following equation: y_n = Ae^{i\omega_0}y_{n-1} + x_n This has a frequency response of \frac 1...
  41. B

    Diffraction: grating and sodium lamp spectrum

    Homework Statement Light from a laboratory sodium lamp has two strong yellow components at 589.5923 nm and 588.9953 nm. How far apart in the first-order spectrum will these two lines be on a screen 1.00 m from a grating having 10,000 lines per centimeter? Homework Equations Grating...
  42. D

    What Lies Beyond the EM Spectrum?

    Quick question from a complete science ignoramus. The electromagnetic spectrum is described as a continuum, correct? So, given the scales of frequencies that our science is familiar with, The high end would be gamma rays, with frequencies of 300 EHz, the low end being extremely low frequency...
  43. M

    Does typical Sun Light usually contain all EM spectrum?

    Are all the frequencies of the Electromagnetic spectrum in a beam of light before being filtered by the Earth's ozone? Beyond ROYGBIV though.. so like infrared rays, microwaves, xrays, etc
  44. N

    Numerical integration along constant and collapsing spectrum

    Hello--- I am reading a paper which describes a somewhat-unfamiliar mathematical procedure. The paper asks for a 2D spectrum U(t, \omega) of a signal s(t) which is calculated using the short-time Fourier transform (Gabor transform). This is reasonably straight-forward. However, the paper...
  45. R

    Magnetism/electric fields/mass spectrum help

    Homework Statement When the ionized particles entering a mass spectrometer are simply accelerated across the potential difference between two charged plates, there is always the chance of an uncontrolled variation in their velocities due to their random thermal motion before they undergo...
  46. D

    What kind of filters to use for audio LED spectrum analyzer?

    Hi, all I've been reading these forums for a while, and now that I have a question, I've finally decided to join. The question I have is school-related, but not really direct coursework since it's very open-ended. I am part of a group (in electronics class) that is building an LED...
  47. O

    What is the spectrum of completely ionized hydrogen?

    Question: A hydrogen atom has one electron. If we heat hydrogen gas up enough, we will completely separate each electron from each hydrogen atom (called "ionization"). What will the spectrum of ionized hydrogen look like ("ionized" means that the electron has already been taken away)? Here's...
  48. M

    Carrier wave frequency spectrum

    Homework Statement The Attempt at a Solution The carrier wave is by inspection 0.5 + cos(10\pi*t) and the other would be 1.5*sin(60\pi*t). I'm not entirely sure what we're supposed to graph for the second part, the frequency spectrum. Any help?
  49. N

    Calculating 1D spectrum from 2D spectrum

    Hello--- I am reading a paper which presents a method to determine attenuation (and Q factors) from reflection seismic data (Y. Wang, "Q analysis on reflection seismic data," Geophysical Research Letters, Vol. 31, 2004). To perform signal processing on a seismic trace, the paper describes...
  50. P

    Emission Spectra of Elements: List & Resources

    I was just wondering if anyone knew of anywhere on the internet that had a list of all known emission spectrums of the elements. Thanks!
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