I love atomic orbitals, I spent days plotting them out by hand on polar graph paper when I first learned about them.
http://scarc.library.oregonstate.edu/coll/pauling/bond/ is an archive of Linus Pauling papers. Pauling figured out orbital hybridization over 1927-1931. Slater figured it out at about the same time. They submitted papers within a month of each other that were both published in the spring of 1931. Scans of both papers are in the Pauling archive, and there's a slightly breathless narrative that explains how Pauling's version came about. For a more systematic treatment, you could look at Pauling's Introduction to Quantum Mechanics with Applications to Chemistry (thank you Dover Books) first published in 1935. -- rec -- On Thu, Nov 29, 2018 at 1:58 PM Jon Zingale <[email protected]> wrote: > Dave, > > It is good to hear your voice. Sarah is presently > finishing a pair of chemistry classes at UNM. > In classic St. John's style, she is constantly > bringing me the kind of thoughtful questions > which send me diving into books on quantum > mechanics and wishing my group theory were > stronger. Most recently, we attempted to understand > the mechanics of hybridization. > > Almost nowhere can I find a clear exposition > connecting the theory (with its Lie groups and > discussions of overtones) to the empirical. > Penrose's book, from what I remember, similarly > falls short. The Baez book > <https://www.amazon.com/GAUGE-FIELDS-KNOTS-GRAVITY-Everything/dp/9810220340>, > which a few of us > formed a reading group around last year, did a > fairly good job of connecting the many ideas > and technologies mathematical physicists use > in developing modern theory. Often the requisite > mathematics is beyond what can be expected for > a PhD in mathematics. However, the text left me > with a feeling of efficacy that I could track down > the needed math and get to work. > > Perhaps tangentially (wrt philosophy of science), > there has been some interest around the table here > in reservoir computing, and some of the bold claims > about being able to predict chaotic trajectories > <https://mail-attachment.googleusercontent.com/attachment/u/0/?ui=2&ik=a33a25cbf7&attid=0.1&permmsgid=msg-f:1617592106450468931&th=1672d7735074c043&view=att&disp=inline&sadnir=2&saddbat=ANGjdJ-zXLctoXRpve6kgzzxO-OjAEPIbgA9WwC-xPKH4loEyEuhdwm8ZhXn4L_yzdC9cU8Iv0yIZEUq5__8Z0AMXdihGbHmvSidrDaZd8aggIPRGdpN0xc91Vx7ZZBtrMuV6rG0tPBj-eNyADuZJKYJ0aNnNfxRZ4s3TgZwGB9Tj3jDfFLJFCFaWyo7KxEw5csL5tFGb3xAQz2d8g4r-e_ZDKwJrUT4Bqnzl73cn2NvPbX-v2AtOFi4xpE6Yyd-7pL_bU6iuLD5oyF8RJqmMtRM_bGTMorQbgrq6m617Du-aGKz2NodqSCMmy-TS596IwkFBiUOepBHyUA11T8s6uSW6pNonwbKu0WLJkNAMwXNuyylbnFoLP5ZFtx-PXZGakgknOoNqNsDAfnG_Wg9IODOxxtstFs6NcNRwwaHjBVD1N2Fw2rXt-dyLMmy7PSMRT1EKt4l05axXk0JebhcrPpob9FSfm7uIxTL7DxUpqW_AeZeTnRC5G6ZH0vAPZM-w20cRVvv24dxex7yWGOFneUQRhVqGQlDag4mRYCCta2fC0ghB7yBUs5sF-ak4oSVhyG1cAYHiXS_BvxuXKLYpsHwGGuZL_GHzcAxTwD60Lxqqz2ReEF3x1sy4jMbT2sXQigsse6ZVQs9hUoYGDqL> > in the > Kuromoto-Sivashinsky equations eight Lyapunov > times into the future. While I have some loose sense > for why some standard deep learning techniques > work, the echo-state network approach has been > down-right baffling to me. I mention this for two > reasons. First, I trust your expertise in computing > systems could offer some insight. Second, here is > another moment in the history of science where we > are running to form solid theory in the face of > overwhelming odds, all-the-while the effectiveness > of the empirical is plain as day. I sincerely hope > that as this work is carried out, we manage to do > a better job tracing the development of this knowledge > than was done with the development of quantum > mechanics. Perhaps some text can tell me once and > for all whether the energies associated with orbitals > are a consequence of spherical harmonics? > What about the geometry of molecular configurations? > > Cheers, > Jonathan Zingale > > > ============================================================ > FRIAM Applied Complexity Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College > to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com > archives back to 2003: http://friam.471366.n2.nabble.com/ > FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove >
============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives back to 2003: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove
