we've fixed the fact that assinging term symbols to levels and permuting levels don't commute. The easiest way to use it is to type in the number of electrons,
then press 'next config' just once, and when it is finished, you can press it more times if you want more
levels. The arrow keys are for looking more closely at the spectrum, and the button 'show colors' shows which
difference corresponds to which spectral line. You should enable popups when they try to appear (these are from NIST to compare with what is found in nature).
are actual which get permuted at the end fullscreen.html?file=quantumvideo.mp4
If you check 'use stored coef' it will use a stored number for this perturbation coefficient called pmult, usually 1 or 1.5. A number called emult which is larger multiplies the proton charge (see next paragraph) and the parameter that is changed in the video affecting proportions can be considered as pmult/emult, still a number less than 1.
The coarse correction
allows an attempt to correct for the problems the perturbation causes for the sums
of reciprocal squares, by artificially increasing the proton charge by a multiple called emult, but only in how it
affects levels with differing reciprocal sums of squares (not affecting any spectral frequency
which was resolved into a difference if the two electron configurations are the same or even
have the same reciprocal sum of squares). But now it also is allowed to affect the fine structure.
Once 'next config' stops flashing, the value of emult will be such that
if the levels are ordered lexicographically giving the reciprocal sum of squares
effect precedence, then the second successive differences within each subsequence where the set of l quantum
numbers is constant, is minimized in the least squares sense.
The 'visible colors' button shows details about visible spectral lines, but the display will likely be misleading if care is not taken.
To make functions in the webworker available in a browser's developer console, type "loadWorkerAsScript()" and this also loads
things like a polynomial algebra script. Many of the functions are intuitively named, so casimirL("1s22p3") is the rotational casimir of the
configuration 1s22p3, and times(A,B) is the product of matrices A,B. As a message in the developer's console explains, in order to access all the functions in the webworker you'll want to start by typing "loadWorkerAsScript()."
Examples using the older version:
Here are the electromagnetic equations making the red and green Northern Lights index.html?allowForbidden=true&autocorrect.checked=false&panLeft=160&scaleWidth=4&panLeftSpeed=-.002&scaleWidthSpeed=.15&dofine.checked=true&nextt(8)
They represent transitions between even functions.
Here is the green Magnesium star triplet, and press 'next config' a few times after the calculation is definitely done, to see the yellow one.
. Both are reversed because the p orbital is more than half full.
Here is the familiar bright yellow Sodium doublet index.html?autocorrect.checked=false&dofine.checked=true&nextt2(11)&nextt2(11)&panLeft=280&scaleWidth=20&panLeftSpeed=-3&scaleWidthSpeed=1
And the Carbon spectrum, perhaps reminiscent of fire, index.html?panLeft=280&scaleWidth=20&panLeftSpeed=1&scaleWidthSpeed=.1&nextt2(6)&nextt2(6)&nextt2(6)&nextt2(6)&nextt2(6)&nextt2(6)&nextt2(6)&nextt2(6)&nextt2(6)&nextt2(6)
The arrow keys are for looking closer, and 'compare external' compares with what is actually found in nature
Details of the calculation are in 'view source' or in even more detail in chemistry.pdf
Also here is a link to other mathematical papers