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.
Hello,
We are all familiar with the standard classification of Radio, Microwaves, Infrared, Visible Light, Ultraviolet, X-Rays, and Gamma Rays. But I had some questions about why these parts of the electromagnetic spectrum are the way that they are. I know it is characterized by the wavelength...
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...
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...
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...
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.
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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..
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...
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...
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.
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
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 =...
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...
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...
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...
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...
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...
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
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...
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...
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...
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...
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...
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 -...
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...
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...
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...
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
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...
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...
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...
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
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...
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...
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...
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...
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?
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...