Spectrum Definition and 765 Threads

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. 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!
  2. G

    Visualizing daily life through broader EM spectrum

    Sorry if this isn't the best forum for this question; putting it here due to a gut feeling cos my brain wouldn't tell me where to put it. I'm thinking of an idea for an art project. I'd like to somehow depict what a boring, every-day scene might look like if our eyes could see more of the EM...
  3. M

    Questions re: absorption spectrum

    Hi readers, I'm confused about some aspects of absorption spectroscopy, and hoping someone can de-confuse me First, just a preliminary question; am I right in thinking that when an electron absorbs a photon, the electron will then emit a photon of the same frequency and energy as the one...
  4. P

    How to find solar insolation in the IR spectrum

    Homework Statement Compute the solar irradiance in the near IR range (0.7 - 1.5 microns) at the top of the atmosphere over Denver at noon on August 23rd, and assume that 37 per cent of the solar spectrum is in this range. Homework Equations Equations? I=ScosZ where Z is the azimuth...
  5. A

    Absorption spectrum in chlorophyll

    I have a question. We claim that the wavelength of a photon must exactly match the difference between the states of an atom or molecule. Then why are the peaks in the absorption spectrum of chlorophyll so broad? Shouldn’t they be very sharp?
  6. D

    Reversed spectrum through prism?

    There is a debate going on regarding this subject, and many different physics professors, who have a PhD in optical physics, are providing different answers. It looks like they are getting destroyed in the debate which is rather silly. I have been watching and I am very curious about the...
  7. L

    Gamma spectrum Na-22: Peak origins

    Hey, For my first post here, I had a question about the gamma spectrum of Na-22. I measured the gamma spectrum of Na-22 with a Ge-spectrometer. Using Genie-2000 software I saw two peaks in the spectrum, 1274 keV (peaksurface 3981±1,74%) and 511 keV (peaksurface 25494±0,68%). (Horizontal...
  8. P

    Electromagnetic Spectrum Wavelengths

    The question I have is a bit difficult to express. The foundation of my question. Within the electromagnetic spectrum there is the visible spectrum. Broken down that has our individual colors that we see. Do all portions of the electromagnetic spectrum have special properties such as...
  9. X

    Frequency Spectrum of a Real Sine Wave

    Hi. I'm doing a lab where we hooked up an RF signal generator at 1.25MHz/10dBm to a spectrum analyzer using a 50 ohm wire. Can anyone explain to me or link me to a place where I can read about why a real sine wave's frequency spectrum is not a pulse? Also, why would with a sweep from 1 Mhz...
  10. B

    What Causes the Spikes in X-ray Spectra?

    Hello, I have studied X-ray emission when an electron beam is fired at a tungsten target - But when I was presented with the graph of Intensity versus wavelength, I was confused... I saw a curve, and on it there were spikes. What are these spikes, and why are they caused? Something to...
  11. B

    Calculating the Hydrogen Spectrum: Understanding Energy Levels and Transitions"

    Hi, I have a question concerning a hydrogen spectrum: There are 4 energy levels drawn: Starting from the top -1.4 * 10^-19 Joules -2.4 * 10^-19 Joules -5.4 * 10^-19 Joules -21.8 * 10^19 Joules 1st question: Going from the second level to the third from the top (from -2.4 to...
  12. A

    Why Distance Between Lines of Hydrogen Spectrum Decreases

    Why distances between lines of hydrogen spectrum decreases even though the distance between the shells of Hydrogen increases as we go to higher shells? r=Ɛn2h2/πme where m=mass of electron, e=charge on electron h=planck's constant n=principle quantum number r=radius of hydrogen atom...
  13. O

    Gamma ray Energy Spectrum of Cd-109 and Sn-113

    Hi, For my experiment, i need the gamma ray energy spectrum of Cd-109 and Sn-113 with NaI detector. would anyone help me please? thanks everyone.
  14. S

    Energy spectrum from dispersion relation E(k)

    Hi. What I'm trying to do is to obtain the energy spectrum from the following dispersion relation: E^4-A·E^3+B·E^2-C·E+D-F·E^2·cos(k·a_0)^2+G·E·cos(k·a_0)^2-H·cos(k·a_0)^2 = 0 where E is the energy, k is the wave vector and a0 the distance between adjacent neighbors in a 1-Dimensional...
  15. A

    Dual nature of electron spectrum

    cause of spectra is transition of electron form one state to another state. but which one? emission spectra or absorption spectra. or in what case both spectra can be seen?
  16. D

    What are the Significant Components of the Compton Spectrum?

    Hey can someone explain the significants of the different components of the Compton spectrum? I know that the Compton edge comes from the incident angle of the photon approaching 180 degrees and that its the maximum energy that can be transferred from the photon to the electron without reaching...
  17. L

    Showing that spectrum of operator is not compact

    Homework Statement Let X=C[0,\pi]. Define T:\mathcal{D}(T) \to X, Tx = x" where \mathcal{D}(T) = \{ x \in X | x(0)=x(\pi)=0 \}. Show that \sigma(T) is not compact. Homework Equations None. The Attempt at a Solution Well, functions sin(Ax) and sin(-Ax), for A=0,1,2,... are in the domain...
  18. P

    Rotational spectrum - equidistance

    Difference between two rotational terms is given by \tilde{\nu}=(J+1)(J+2)B-J(J+1)B=2B(J+1) If we put values of J in this expression we get that otational spectrum is equidistant. T_r - rotational term J - rotational quantum number But from this picture spectrum isn't equidistant...
  19. I

    What Temperature is Needed for Hydrogen Gas to Produce a 656.2nm Emission Line?

    the question states that the emission spectrum of hydrogen contains a line with wavelength 656.2nm. and we need to approx find out what temp the H gas needs to have to be heated before this line appers in the spectrum i have worked out that for this wavelength the electron mov from level 3 to...
  20. O

    Diffraction Grating, calculating rulings/mm from spectrum

    Homework Statement Assume that the limits of the visible spectrum are arbitrarily chosen as 430 and 680 nm. Calculate the number of rulings per millimeter of a grating that will spread the first-order spectrum through an angle of 20.0 degrees. Homework Equations (y is lambda) dsinø =...
  21. T

    What is the Earth's emission spectrum as seen from outer space?

    Hello, Does anybody know if there has ever been an emission spectrum of Earth recorded by one of our spacecraft s after launch from outer space? When we directly image extrasolar planets we are able to determine their atmospheric properties, etc, so can someone point me to a link which...
  22. K

    Intepreting a two-sided spectrum.

    Homework Statement In a two-sided spectrum, there's a complex component of 1-j2 at frequency f = -1000Hz. What is the component at 1000Hz and the signal in time plane? Homework Equations The Attempt at a Solution So the component at 1000Hz is 1-j2 as well. And the signal in time...
  23. J

    How do you read a spectrum for a decaying source?

    Homework Statement I have a 137Cs source which decays to 137Ba. When the Ba nucleus decays, it gives off a photon which can undergo Compton scattering.Homework Equations The Attempt at a Solution The spectrum shows something that looks like a saddle on the left (it has two high peaks on either...
  24. E

    Doppler shifted blackbody spectrum

    You can know the temperature of a star by fitting a black body spectrum. BUt what if the star is moving with some radial velocity v? I worked out that: I(\lambda_0,T)=\frac{8\pi h c}{\lambda_0^5}\frac{1}{e^{\frac{hc}{\lambda_0kT}}-1}...
  25. M

    Discrete or continious spectrum in QM

    Homework Statement Here is the question: how can we know that if we have discrete or continuous spectrum just by looking at the potential graph? Specifically, let`s consider the potential V(x)=-F*x (F:const) . After we solve, we can conclude wavefunctin is airy function, and so both...
  26. V

    NMR NOESY spectrum - Please help trans-9-(2-phenylethenyl) anthracene

    NMR NOESY spectrum -- Please help! "trans-9-(2-phenylethenyl) anthracene" Here is the NOESY spectrum: http://img109.imageshack.us/img109/5708/wittiggosy.jpg Here is the Proton NMR and the structure of the molecule: http://img40.imageshack.us/img40/1774/wittigprotont.jpg )...
  27. M

    How to measure the CDM power spectrum?

    Hi all! It's my first post, but I follow this forum since a couple of years. Now I have a big question for you: how to measure the CDM (or \LambdaCDM) power spectrum (better, the variance \propto k^3 P(k)) from the observations? What parameters are necessary?
  28. C

    What is the Explanation for the DOS of Metallic CNT?

    DOS of metallic CNT Hi all, I am in doubt on a subject. The density of states function of a metallic CNT, is given as http://img196.imageshack.us/img196/5629/adszuci.jpg in the book "Introduction to Nanoelectronics" of Hanson. On the other hand, in the same book, it is said that...
  29. T

    Chemistry Molecules with Microwave/Rotational spectrum

    Homework Statement This question is about microwave (rotational) spectroscopy. Which of the following molecules have a microwave spectrum? H2, N2, NO, N2O, CH4, CO2, OCS, H2O, Ethene, Benzene. The Attempt at a Solution According to my textbook, it appears that all molecules have a...
  30. C

    Why does power spectrum is calculated at the radiation/matter epochs?

    In the standard inflationary scenario, the power spectrum is evaluated at the cosmological time when one assumes an equation of state $ P= \omega \rho$ , that is, one is assuming a particular radiation or matter dominated universe. Why does it has to be in these cosmological epochs? does it...
  31. E

    Audio Signal Processing: changing spectrum directly

    Hi all, I'm having some trouble understanding the consequences of directly changing the frequencies in the spectrum of an audio signal. Let me give you an example: Let's say I have some audio signal, which I convert to a spectrum (in LabView, using a direct cosine transform (to avoid...
  32. G

    Why Does Infrared Light Emit Heat? Exploring the Radioactive Spectrum

    Do all types of light in the radioactive spectrum emit heat? If so, why is infrared the only one associated with heat?
  33. S

    Relation between phase spectrum and frequency spectrum

    can anyone tell me the relation between phase spectrum and frequency spectrum in signal processing. thanks a lot in advance
  34. O

    Some Basic Line Spectrum and Chemistry Questions I Have

    I've never really taken any chemistry before so I'm currently taking a class and the more I learn about it, the more interesting it becomes. :smile: However, I do have a few questions (you might find simple) that are kind of bugging me as we begin to progress through the chapters... 1. When...
  35. L

    Sampling and spectrum replication

    Why is the frequency spectrum of a sampled signal replicated? We have a Low pass filtered signal sampled well above nyquist rate. I can't understand why the spectrum is replicated.
  36. I

    Region of Spectrum for 5.0x 10^-6 Meters Radiation

    Homework Statement Radiation with the wavelength 5.0x 10^-6 Meters belongs to what region of the spectrum ? Homework Equations None really. The Attempt at a Solution I don't really know how to read the spectrum too well, but it looks like Infared, am I right?
  37. D

    Why do electromagnetic waves travel slower in other mediums?

    Hi guys, I'm not rlly sure why certain electromagnetic waves (in the electromagnetic spectrum) travel slower in other mediums apart from in a vacuum (all the waves travel at the same speed)? I tried to search this and found out tht the wavelength of waves decreases when in a denser medium like...
  38. N

    Geometrical meaning of spectrum in algebraic geometry

    The notion of spectrum in algebraic geometry seem to be a bit abstract to me. Is it a set of points? Is it the analogue of spectrum in Fourier transform?
  39. menniandscience

    Spectrum of Hot & Cold Fire: How Can It Be?

    we can see very hot fire and we can see cold fire. when fire is very hot it turns blue. now someone told me the spectrum of light from hot sun and cold planet are the same when checking a ray, i ask, how can it be? a ray of light coming from a very hot sun should be in a spectrum dominant by the...
  40. M

    How can the spectral representation of a plane EM wave be found?

    Hi, Let E(r,t) = E(r)exp(-ikz)exp(iwt) be a plane wave in time domain, propagating along Z direction. I wonder how to find the spectral representation of it (i.e. E(r,w))?? I know, for a finite intensity field (i.e. |E(r,t)|^2 < infinity), we can give...
  41. A

    Beginner Question on the Electromagnetic Spectrum

    Hi, I'm new to the subject and I've been trying to catch up quickly, but something that's been bothering me is why exactly do Microwaves heat waters, fats, etc., even though things with a similar frequency and wavelength(Radio waves, Infared) do not, or at least as quickly?
  42. 3

    Absorption spectrum of water in the UV range

    Hi all, I have not seen a separate section for photonics, so I'll post my question here : Does anyone have measurement data of the absorption spectrum of (liquid) water in the wavelength range of 180 - 250 nm ? Thanks :smile:
  43. J

    Why Is the Balmer Series More Commonly Seen than Other Hydrogen Emission Series?

    I keep seeing the hydrogen emission spectrum from the Balman series (when an electron falls to n=2). It's all over my textbook. Why don't I ever see the Lyman series or any other series? Is it really rare for hydrogen electrons to fall to energy levels other than n=2?
  44. O

    How many peaks will there be in an NMR spectrum for Malic Acid?

    1. Homework Statement How many peaks will there be in the NMR spectrum of Malic Acid, HOOC CH2 CH(OH) COOH, WITHOUT D2O as the solvent (i.e. Hydrogens in Hydroxyl groups WILL have corresponding peaks)? 3. The Attempt at a Solution I thought the two -COOH groups will be identical...
  45. O

    How many peaks in the NMR spectrum of Malic Acid, without D2O?

    Homework Statement How many peaks will there be in the NMR spectrum of Malic Acid, HOOC CH2 CH(OH) COOH, WITHOUT D2O as the solvent (i.e. Hydrogens in Hydroxyl groups WILL have corresponding peaks)? The Attempt at a Solution I thought the two -COOH groups will be identical Hydrogen...
  46. Z

    Uncertainty propagation visible light spectrum

    Homework Statement I have conducted an experiment which attempts to calculate the range of the visible light spectrum. Basically white light was shined through a diffraction grating (300 lines/mm) and diffraction theory is applied to calculate the wavelength. So, here are the variables...
  47. S

    Phonon Spectrum: Explained in Terms of Electromagnetic Spectrum

    Hello there, my physics friends. I was hoping ye could answer a wee question I have on the phonon spectrum. Mainly,what is it? I know one of the mediations is sound but that's about it. If possible could you put it in terms similar to that of the electromagnetic spectrum. Thanks in...
  48. E

    Specific parts of the emission spectrum of a sodium lamp

    Homework Statement Part a) The emission spectrum for Sodium lamp contains a reasonably bright red line in its spectrum. What is its origin? Part b) The possible transitions between electron energy levels for Sodium were analysed. There were no transitions between the s series (s subshell)...
  49. E

    What is the origin of the strong red line in the sodium emission spectrum?

    I was doing an undergrad experiment on the sodium emission spectrum and I have a few queries. Of course, I was asked to analyse the famous yellow doublet which I'm on top of. I was also asked the analyse the diffuse series which was fine too. What I did notice however, was a strong red line...
  50. Z

    Measuring Spectrum of Boxes A & B: Same QM System?

    let us suppose we have two boxes labelled by A and B i can not open none of them (the boxes) but i can use an spectrometer to measure the absortion and emission spectrum i chek that the eigenvalues of both systems are equal , then my question is A and B boxes contain the same QM system...
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