Showing posts with label The Disappearing Spoon. Show all posts
Showing posts with label The Disappearing Spoon. Show all posts

Monday, July 15, 2013

Notes on "The Disappearing Spoon"

[continuation in part]


I'm reading Sam Kean's book "The Disappearing Spoon" and posting comments about it. I'm on page 29:
Reading the periodic table across each row reveals a lot about the elements, but that's only part of the story, and not even the best part. Elements in the same column, latitudinal neighbors, are actually far more intimately related than horizontal neighbors. People are used to reading from left to right (or right to left) in virtually every human language, but reading the periodic table up and down, column by column, as in some forms of Japanese, is actually more significant. Doing so reveals a rich subtext of relationships among elements, including unexpected rivalries and antagonisms. The periodic table has its own grammar, and reading between its lines reveals whole new stories. 
Very very nice. I call the up down periodic relationship between elements "rhyming;" each element rhymes with the one above and below it.  The table is written in 2n2 meter, where n = 1, 2, 3, 4... link
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Next up, Chapter 2: "Near Twins and Black Sheep: The genealogy of Elements C, Si, Ge" wherein I pretend to get nasty.

Saturday, July 13, 2013

More notes on "The Disappearing Spoon"

[continued from previous post]



Part I   "Orientation: Column By Column, Row by Row"

1. Geography Is Destiny: H, He, B, Be, Sb
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Page 21, bottom of page:
Egyptian women were applying a different form of antimony as mascara, both to decorate their faces and to give themselves witchlike powers to cast the evil eye on enemies.
They used stibnite in which you can still see the Latin origin of antimony's chemical symbol, Sb. Stibnite gave the blueish black look which is still alluring, though antimony has been removed from reformulated modern eyeliner. The alchemist's symbol for antimony is:


which sort of resembles an upside down version of the female symbol.
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Kean writes at length about Gilbert N. Lewis, as have I. My take on him is here and here.
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Now on to some substantive descriptive chemistry: Page 24, bottom:
As we move horizontally across the periodic table, each element has one more electron than it neighbor to the left. Sodium, element eleven, normally has eleven electrons; magnesium, element 12, has twelve electrons; and so on. As elements swell in size, they not only sort electrons into energy levels, they also store those electrons in different shaped bunks, called shells.
Early German quantum mechanics called this Aufbau or building up. Kean describes how electrons build shells -- s, p, d, and f orbitals -- in a logical way. His descriptions of p-orbitals as a "misshapen lung" and "d-orbitals" as balloon animals is amusing, but I would explain it differently. They more resemble blobs with 0, 1, 2, and 3 nodes as described here.

What Aufbau builds on is how electrons self-organize around an increasingly charged nucleus in moving from hydrogen to higher and higher elements. Start with the simplest atom having one proton and one electron. The very first electron goes into a spherical shaped 1s orbital surrounding the proton. Now if we add another proton to that picture to get to the next element (helium), we must add a second electron. It too goes into the same 1s-orbital and two electrons are happy as clams--perfectly-paired. The pairing of electrons is one of the most sublime aspects of electronic theory and is one which I struggle to understand.

Now move on to element 3, lithium: the third electron cannot occupy the same orbital space as its first two, so it must go into a higher energy orbital, the so-call 2s orbital. The 2s orbital is not exactly just a larger s-orbital; it actually interleaves with the 1s orbital as I drew attention to here:


The fourth electron in element 4, beryllium, perfectly pairs with the third one and fills the 2s orbital. Now, the fifth electron in boron could go into what's called a 3s orbital depicted above, i.e., electrons could just keep building higher and higher energy shells of spherical symmetry, but something else happens. A different type of node appears which breaks the spherical symmetry, creating what's called a p-orbital:



The 2p-orbitals are lower in energy than the 3s orbitals and that's why the next 6 electrons fill those first. There are 6 spaces because the electrons pair and go into 3 different p-orbitals -- one for each Cartesian dimension, x, y, and z.

[more soon]

Friday, July 12, 2013

More Notes on "The Disappearing Spoon"

[continuation in part]


I'm reading a book and posting comments about it:

Sam Kean wrote a book a couple years back called "The Disappearing Spoon And Other True Tales Of Madness, Love, And The History Of The World From The Periodic Table Of The Elements." 

I am at:

Part I   "Orientation: Column By Column, Row by Row"

1. Geography Is Destiny: He, B, Sb, Tm, O, Ho
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This chapter is an excellent introduction but risks alienation from the start. Page 12, line 1:
Probably the biggest frustration for many students was that the people who got the periodic chart, who could really unpack how it worked, could pull so many facts from it with such dweeby nonchalance.
Dweeb: noun: an insignificant student who is ridiculed as being affected or studying excessively.

I, like most people, first encountered the periodic chart in high school. And I was unaware of any beauty behind the periodic chart or chemical theory. I was somewhat attracted to the mechanical aspects of the chemistry lab -- the glassware, the Bunsen burners -- and all the tangible aspects. But instead of focusing on experiments, I built elaborate rubber gas lines snaking under desks in order to "gas out" other students according to some WW I trench warfare reenactment going on in my head. Seriously, I don't remember much from high school chemistry. I may have learned the names of a few elements, but I was pretty much a smart ass in my first two years of high school and I paid a price for that. It probably didn't help that I had a terrible teacher who didn't know much chemistry himself (he was an earth science teacher). My high school had a regular chemistry teacher with a chemistry background (Mr. Z), but space was limited in his class and I didn't make the cut. The irony. But I digress. Getting back to the book: yes I too associated chemistry with dweebs. I fought the dweebs and the dweebs won. I became a dweeb or as we affectionately called ourselves in grad school "chem nerds."

Page 12, middle:
Before introducing the periodic table, every teacher should strip away all the clutter and have students just stare at the thing, blank.
Hey!  I made a similar point back here, except I proposed actually testing such knowledge.

The author is keen on stressing the rectilinear grid structure -- the Cartesian qualities. And for good reason: the chart is the form we all know -- but still, it is just a convention. There is nothing intrinsic about that flat tabular presentation.  I "co-invented" an alternative version here.

There is a rich history of how the grid was assembled. First came columns in the early 19th century: Döbereiner's triads --though the column metaphor presumes a vertical relation which didn't yet exist. Then came Newlands with his rows and notions of repeating layers. And then came Mendeleev who envisioned the whole thing well enough to predict where holes were for missing elements.

Page 13, last paragraph:
For each element, its geography is destiny. In fact, now that you have a sense of what the table looks like in outline, I can switch to a more useful metaphor: the periodic table as a map. And to sketch in a bit more detail, I'm going to plot this map from east to west, lingering over both well-known and out-of-the-way elements.
This reminded me of lecture I heard at the UW-Madison ca. 1982 given by a guest lecturer (I wasn't a grad student but rather a precocious undergrad). He put up a periodic table in which he likened it to a US map and showed how certain university research groups were working on the chemistry of elements in a "geographic" way: "Oh look, there's Jack Halpern in Chicago working on rhodium which sits in the "midwest"; and just north of him on the chart is Chuck Casey at Madison, working on iron; out west on the leftern edge is the Bercaw group exploring scandium; out east there's so and so." The modern periodic table is iconic.

Page 17, middle paragraph:
The repose of the noble gases is rare, however. One column to the west sits the most energetic and reactive gases on the periodic table, the halogens. And if you think of the table wrapping around like a Mercator map, so east meets west and column eighteen meets column one, even more violent elements appear on the western edge, the alkali metal. The pacifist noble gases are a demilitarized zone surrounded by unstable neighbors.
I love that. I made the identical point about the Mercator aspect back here (and this was before Kean published, WTF?). But none of this is original, so far...

...Doodle du jour:


Wednesday, July 10, 2013

Notes on "The Disappearing Spoon"


Sam Kean wrote a book a couple years back called "The Disappearing Spoon And Other True Tales Of Madness, Love, And The History Of The World From The Periodic Table Of The Elements." I started it but never finished it. A commenter mentioned the book yesterday on Trooper York, and I suggested that we and another should read and discuss it and so I'm going to give that a shot. I'm going to take this very slowly at first in case you want to buy the book and follow along as well.

I read the Intro and Chapter 1 last night and flagged several passages that struck me as either very well expressed or perhaps worthy of further explanation.

Kean arranges his book into parts and chapters and each concerns a specific element or elements.

My style is to assume that the reader has the book and can proceed along with me on this journey. I'm going to drop quotes where I made markers and then write a few words.  If I don't say anything about a certain passage, it's not because I think it's good or bad or that I disagree. Feel free to ask questions or challenge me in the comments. This first post isn't very chemical at all and is mostly historical in nature. That changes pretty quickly.

Introduction: Mercury

Kean introduces mercury which he's known since childhood (as no doubt have many of a certain age before the stuff was so shunned).  Of course mercury was known to the ancients as well. Page 4, middle of page:
Medieval alchemists, despite their lust for gold, considered mercury the most potent and poetic substance in the universe.
Alchemists considered mercury to be the "spirit" of matter and sulfur to be its "soul." The arcane symbols used for the elements are here. In nature, mercury is commonly found combined with sulfur as the mineral cinnabar. The Romans mined the stuff in Spain and some of the mines are still producing it. I linked to photo of a man floating on a vat of mercury and wrote of some of my own experiences with mercury here and here.

Next we learn how Lewis and Clark left telltale signs along their trek because they carried with and used mercuric chloride as a laxative or emetic. Page 5, about 5 lines up from bottom:
With the weird food and questionable water they encountered in the wild, someone in their party was always queasy, and to this day, mercury deposits dot the soil many places were the gang dug a latrine, perhaps after one of Dr. Rush's "Thunderclappers" had worked a little too well.
This is fascinating. But it's no surprise because mercury persists in the environment. Ingested as insoluble mercuric chloride, it's likely to stay put as mercuric chloride.

Bottom of page 5:
I latched onto those tales, and recently, while reminiscing about mercury over breakfast, I realized that there's a funny, or odd, or chilling tale attached to every element on the periodic table. At the same time, the table is one of the great intellectual achievements of humankind. It's both a scientific accomplishment and a storybook, and I wrote this book to peel back all of the layers one by one, like the transparencies in an anatomy textbook that tell the same story at different depths.
I can relate. I began blogging about the chemical elements after watching 4th of July fireworks 4 years ago: link  I too realized that I had personal experience with many of them and I wanted to pull them together in my own way too. I started a series, using the tag "The Elements Series."  I intend to use some of these posts along the way. Eventually, I intend to extend the series beyond rhodium.
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Next up: Part I   "Orientation: Column By Column, Row by Row"

1. Geography Is Destiny