Note that you have to re-set the number of electrons to 1 or it will keep getting larger.
Red warnings at the end of the display advise which checkboxes to use to resolve multiple term symbols in an electron configuration, to resolve the fine structure or complete the numerical calculation.
For a second tutorial, reload the page to reset everything. Checkmark all the checkboxes on the upper right except 'other' (which is just experimental), and press 'new electron' until it says 'Magnesium.' Now press 'Next Config,' waiting a few seconds each time, until it is no longer
flashing red. Now you can use the arrow keys to explore the spectrum! Also press 'compare external' to compare it numerically.
With all the checkboxes checked it will be too slow for some ions of high atomic number.
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.
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). Once you have pressed 'next config' until it 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.
You can set pmult, emult and a fine multiplier fmult from the url, as in the examples below which also adjust the width, speed and panning
of the spectrograph display to identify some spectral phenomenon from nature. You can also set any of the six checkboxes to be checked or un-checked,
their names are docalc, domults, dofine, autocorrect, finecorrect, and usepmults; so you can set usepmults.checked=false in the url if you want it to come up unchecked by default. Also you can put for instance nextt2(6);nextt2(6);nextt2(6) for the first three Carbon electron configurations to be loaded at the outset.
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.
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