Showing posts with label chemistry. Show all posts
Showing posts with label chemistry. Show all posts

What we can say about Google and 2024 Nobel Prizes

20250403-google-nobel-prize-2024-evidence
2024 Nobel Prizes spotlight breakthroughs in AI, neural networks, and protein folding advancements.
I apologize for the delayed publication of this post, but due to the problems with the security certificate that I was writing last week, I preferred to leave this article on hold, so I'm recovering it now.
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Fluorine in the early universe

Using ALMA (Atacama Large Millimeter/submillimeter Array), a team of astronomers has detected fluorine in a galaxy far, far away: its light reached us after a journey of over 12 billion years.
What we see of the NGP-190387 galaxy is a large cloud of gas crystallized at the time when the universe was only 1.4 billion years old. And since stars shed chemical elements into their surroundings only when they reach the end of their life, which generally ends explosively, the detection of fluorine in the gases of NGP-190387 implies that the stars in the galaxy must have lived relatively short lives. In particular these characteristics are possessed by the Wolf–Rayet stars.
Furthermore, the levels of fluorine in NGP-190387 (the first galaxy after the Milky Way where this chemical element was observed) are comparable to those of our galaxy, with the difference that the latter is older than a dozen and more than billions of years compared to NGP-190387.
We have shown that Wolf–Rayet stars, which are among the most massive stars known and can explode violently as they reach the end of their lives, help us, in a way, to maintain good dental health!
- Maximilien Franco from the University of Hertfordshire in the UK
(ESO's press release)

Nobel Prize in Chemistry 2021: A scent of Feynman

One of the most famous speech by Richard Feynman is There's plenty of room at the bottom:
Now comes the interesting question: How do we make such a tiny mechanism? I leave that to you. However, let me suggest one weird possibility. You know, in the atomic energy plants they have materials and machines that they can’t handle directly because they have become radioactive. To unscrew nuts and put on bolts and so on, they have a set of master and slave hands, so that by operating a set of levers here, you control the “hands” there, and can turn them this way and that so you can handle things quite nicely.
The idea is to manipulate molecules to build, for example, an electric engine, or a book, or something else. The most curious fact about the Nobel Prize in Chemistry 2021 is that Johan Jarnestad has illustrated the work of Benjamin List and David MacMillan using a couple of workers, an image that, in a particular way, is very similar to Feynman's idea.
Building molecules is a difficult art. Benjamin List and David MacMillan are awarded the Nobel Prize in Chemistry 2021 for their development of a precise new tool for molecular construction: organocatalysis. This has had a great impact on pharmaceutical research, and has made chemistry greener.
I hope to write soon an article about Feynman and miniaturization obviously from the physics point of view.
Stay tuned!

Bioplastic from weaver's broom

At the end of 1980s the researcher Catia Bastioli developed a new bioplastic, Mater-Bi, using corn(1). Since 1989, there were developed a lot of bioplastic, for example the polymer poly(lactic acid)(2) or the broom fibers:
Fallico, C., Troisi, S., Molinari, A., and Rivera, M. F.: Characterization of broom fibers for PRB in the remediation of aquifers contaminated by heavy metals, Biogeosciences, 7, 2545-2556, doi:10.5194/bg-7-2545-2010, 2010
The present level of pollution, increasingly involving ground waters, constitutes a serious risk to the environment and also to human health. Therefore the remediation of saturated and unsaturated soils to remove pollutant materials is more and more frequently required. In the present paper, the possibility of removing heavy metals by permeable reactive barrier (PRB) from the groundwater carried out specifically with broom fibers, is investigated.
Once shown the economic benefits deriving from the use of this plant, a hydraulic characterization of the broom fiber mass was performed, determining the permeability and the porosity in correspondence to different levels of compactness of the fibers.
Having verified the effectiveness of removal of some heavy metals by these fibers, the results of some experiments, carried out in the laboratory for this purpose, are shown. These experiments were carried out utilizing broom fibers obtained in different ways and, limitedly to the considered pollutants, showed the high capability of these fibers to reduce their concentrations. The best results were obtained for the broom fibers extracted by a particular chemical-physical process.
Moreover, the behaviour of this fiber with time was investigated, determining the kinetic constant of degradation.
Gabriele, Bartolo, Teresa Cerchiara, Giuseppe Salerno, Giuseppe Chidichimo, Mabel Valeria Vetere, Cosimo Alampi, Maria Caterina Gallucci, Carmela Conidi, and Alfredo Cassano. "A new physical–chemical process for the efficient production of cellulose fibers from Spanish broom (Spartium junceum L.)." Bioresource technology 101, no. 2 (2010): 724-729. doi:10.1016/j.biortech.2009.08.014 (sci-hub)
A novel and efficient method for the extraction of cellulose fibers from Spanish broom (Spartium junceum L.) is presented. The method is based on the sequential combination between an initial chemical stage (alkaline digestion) and a subsequent physical–chemical stage, consisting of compression with hot air in an autoclave followed by rapid decompression (DiCoDe process, digestion–compression–decompression). The alkaline mother liquor deriving from the initial digestion step can be conveniently recycled after centrifugation followed by ultrafiltration. The process is characterized by the production of fibers with excellent physical–chemical properties, such as high mechanical resistance and high elasticity, and rapid production times. The fibers obtained after the DiCoDe process can be further softened and whitened by means of enzymatic digestion.
Fibers were morphologically characterized by scanning electron microscopy (SEM), while their composition and physical–chemical properties were determined by conventional methods, including colorimetry, TAPPI protocols, IR spectroscopy, and X-ray diffractometry.
Cassano, Roberta, Sonia Trombino, Ermelinda Bloise, Rita Muzzalupo, Francesca Iemma, Giuseppe Chidichimo, and Nevio Picci. "New broom fiber (Spartium junceum L.) derivatives: preparation and characterization." Journal of agricultural and food chemistry 55, no. 23 (2007): 9489-9495. doi:10.1021/jf071711k (sci-hub)
In the past decade interest in biopolymers has increased. Attempts were made to prepare new composite systems from biopolymers by binding different synthetic polymers to a biopolymer backbone. This paper reports the synthesis and characterization of derivatized broom fibers to prepare composites with either degradability or fireproofing properties. Synthetic strategies are described for the introduction of polymerizable functional groups or fluorine atoms on the glucose of cellulose chains of broom. The fibers containing polymerizable groups were copolymerized with dimethylacrylamide and styrene and, after that, investigated by optical polarizing microscopy (OPM) and scanning electron microscopy analysis (SEM). The materials containing fluorine were submitted to thermogravimetric analysis (TGA) and differential scanning calorimetry (DSC) for the purpose of verifying the fireproofing. Such derivatized biomaterials could be successfully used for applications in agriculture and in the packaging area.

(1) Bastioli, Catia. "Properties and applications of Mater-Bi starch-based materials." Polymer Degradation and Stability 59.1-3 (1998): 263-272. doi:10.1016/S0141-3910(97)00156-0 (sci-hub)
(2) Karamanlioglu, Mehlika, Richard Preziosi, and Geoffrey D. Robson. "Abiotic and biotic environmental degradation of the bioplastic polymer poly (lactic acid): A review." Polymer Degradation and Stability (2017). doi:10.1016/j.polymdegradstab.2017.01.009 (sci-hub)

The deadly irony of gunpowder

In the mid-ninth century, Chinese chemists, hard at work on an immortality potion, instead invented gunpowder. They soon found that this highly inflammable powder was far from an elixir of life -- they put it to use in bombs against Mongol invaders, and the rest was history. Eric Rosado details how gunpowder has caused devastation around the world, despite the incandescent beauty of fireworks.

Beach sand for long cycle life batteries

#sand #battery #chemistry #energy
This is the holy grail – a low cost, non-toxic, environmentally friendly way to produce high performance lithium ion battery anodes
Zachary Favors

Schematic of the heat scavenger-assisted Mg reduction process.
Herein, porous nano-silicon has been synthesized via a highly scalable heat scavenger-assisted magnesiothermic reduction of beach sand. This environmentally benign, highly abundant, and low cost SiO2 source allows for production of nano-silicon at the industry level with excellent electrochemical performance as an anode material for Li-ion batteries. The addition of NaCl, as an effective heat scavenger for the highly exothermic magnesium reduction process, promotes the formation of an interconnected 3D network of nano-silicon with a thickness of 8-10 nm. Carbon coated nano-silicon electrodes achieve remarkable electrochemical performance with a capacity of 1024 mAhg−1 at 2 Ag−1 after 1000 cycles.

Favors, Z., Wang, W., Bay, H., Mutlu, Z., Ahmed, K., Liu, C., Ozkan, M., & Ozkan, C. (2014). Scalable Synthesis of Nano-Silicon from Beach Sand for Long Cycle Life Li-ion Batteries Scientific Reports, 4 DOI: 10.1038/srep05623
(via Popular Science)

The damages of the heavy metal

by @ulaulaman via @verascienza about #heavymetal #chemistry #health
A heavy metal is any metal or metalloid of environmental concern. The term originated with reference to the harmful effects of cadmium, mercury and lead, all of which are denser than iron. It has since been applied to any other similarly toxic metal, or metalloid such as arsenic, regardless of density. Commonly encountered heavy metals are chromium, cobalt, nickel, copper, zinc, arsenic, selenium, silver, cadmium, antimony, mercury, thallium and lead.
Heavy metals have a lot of detrimental effects on our body:
Aluminum - Damage to the central nervous system, dementia, memory loss
Antimony - Damage to heart, diarrhea, vomiting, stomach ulcer
Arsenic - Lymphatic cancer, liver cancer, skin cancer
Barium - Increased blood pressure, paralysis
Bismuth - Dermatitis, stomatitis, colitis, diarrhea
Cadmium - Diarrhea, stomach pains, vomiting, bone fractures, damage to the immune, psychological disorders
Chrome - Damage to the kidneys and liver, respiratory problems, lung cancer, death
Copper - Irritation of the nose, mouth and eyes, liver cirrhosis, brain damage and kidney
Gallium - Irritation of the throat, difficulty 'breathing, pain in the chest
Hafnium - Irritation of eyes, skin and mucous membranes
Indium - Damage to the heart, kidneys and liver
Iridium - Irritation of the eyes and digestive tract
Lanthanum - Lung cancer, liver damage
Lead - Fruits, vegetables, meats, cereals, wine, cigarettes contain. Cause brain damage, dysfunction at birth, kidney damage, learning disabilities, destruction of the nervous system
Manganese - Blood clotting, glucose intolerance, disorders of the skeleton
Mercury - Destruction of the nervous system, brain damage, DNA damage
Nickel - Pulmonary embolism, breathing difficulties, asthma and chronic bronchitis, allergic skin reaction
Palladium - Very toxic and carcinogenic, irritant
Platinum - Alterations of DNA, cancer, and damage to intestine and kidney
Rhodium - Stains the skin, potentially toxic and carcinogenic
Ruthenium - Very toxic and carcinogenic, damage to the bones
Scandium - Pulmonary embolism, threatens the liver when accumulated in the body
Silver - Used as a coloring agent E174, headache, breathing difficulties, skin allergies, with extreme concentration it causes coma and death
Strontium - Lung cancer, in children difficulty of bone development
Tantalum - Irritation to the eyes and to the skin, upper respiratory tract lesion
Thallium - Used as a rat poison, stomach damage, nervous system, coma and death for those who survive the remain Thallium nerve damage and paralysis
Tin - Irritation of the eyes and skin, headaches, stomach aches, difficulty to urinate
Tungsten - Damage to the mucous membranes and membranes, eye irritation
Vanadium - heart and cardiovascular disorders, inflammation of the stomach and intestine
Yttrium - Very toxic, lung cancer, pulmonary embolism, liver damage
via verascienza

Dmitri Mendeleev and a brief history of the chemistry

by @ulaulaman via @smoot_ #Mendeleev #chemistry #periodictable #Lavoisier
The story of the chemistry starting with the first philosophers interested in the atoms, people like Epicurus, Democritus, Kanada. The first chemist, or in other words the first scientist interested in experiments about the reactions between the substances was Jabir Ibn Hayyan. Among his discoveries and inventions we must remember crystallization, calcination, sublimation and evaporation, the acid synthesis and the distillation, using the still, another of his own inventions. In addition to developing methods for the preparation of various metals, he also developed the aqua regia in order to dissolve the gold(1).
The revolution in chemistry occurred at about the same time that it happened in physics with Galileo: Georg Agricola in 1556 wrote De re metallica, a basic book for the metallurgical chemistry. From this moment, a lot of books about chemistry are published: the Tyrocinium Chymicum by Jean Beguin in 1610, the first instructional book on chemistry; The sceptical chimist by Robert Boyle, where for the first time the results of Jabir Ibn Hayyan were disclosed in Europe.
The first modern chemist was Antoine Lavoisier, engaged in a lot of research in the field of chemistry, and one of the martyrs of science, victim of the Reign of Terror during the French Revolution. Newxt to him she was Marie-Anne Pierrette, his wife, which assisted him with the construction of scientific instruments used in his experiments, in particular for the attempt to refute the theory of phlogiston(2), a mysterious entity who runs away from an object when it burns.
The myth of phlogiston was disproved, paving the way for the development of the law of conservation of mass.(2)
And finally it arrives on the scene Dmitri Mendeleev with his periodic table of elements: on the 6th March 1869, Mendeleev propoced to the Russian Chemical Society The Dependence between the Properties of the Atomic Weights of the Elements, that it was republished in the German journal Zeitschrift für Chemie(3). In it, he stated:

This is water (and snowflakes)

posted by @ulaulaman via @zuppadivetro about #water #snowflakes
When water freezes, the molecules take a definite position in their relations one to another. Snow flakes are made up of molecules in similar manner, always hexagonal, but like most creation of nature, there are seldom two alike.

(via zuppadivetro)

L1448-MM: water in space

posted by @ulaulaman about #Astronomy:
One of the most interesting research topics is the star formation. The high weigth chemistry elements could diffusein the universe only with the life cycle of the stars: the birth, the syntesis of helium and of the other elements, the great explosion that (diffusero) in space carbon, iron and so on. But also the early stages in star formation could send in cosmic vacuum some light elements like hydrogen, or also water!
One place in which it can observe not only star formation but also water jets is the L1448 dark cloud in Perseus molecular cloud
In particular there is an interesting object, L1448-MM that presents two bright spots of emission, the cross (A) and the star (B) in the following figure

The secret origins of the Moon

posted by @ulaulaman about #Moon formation #astronomy #Earth with Italo Calvino quotes
Our satellite, the Moon, is really fascinating, not only for artists and poets, but also for scientists. For example the first, precise description of the Moon was made by Galileo Galilei in the Sidereus Nuncius:
One of the problems that the astronomy try to resolve about the Moon is its origins: for example in the beginning of the Twentieth Century it was developed the Earth-Moon Theory, that was reviewed by LeRoy Hughbanks(8):
"The moon," says Prof. Percival Lowell, "did not originate as a separate body, but had its birth in a rib of earth." Doctor Lowell is an ardent sup- porter of "the earth-moon theory," and his views and deductions are frankly stated in his two last scientific works, "Mars as the Abode of Life" and "Evolution of Worlds," both of which are publications of the Macmillan Company, New York.
In the discussion has a really great importance George Darwin with his works about the tidal friction(6) and the viscous spheroids(5):
Following Sir George Darwin, the Moon would have been detached from the Earth because to a solar tide. The attraction of the Sun acted on the covering of lighter rock (granite) as on a fluid, lifting one hand and tearing it to our planet. The waters that covering the entire Earth were largely sucked down by the abyss that had opened by the escape of the Moon (i.e. the Pacific Ocean), leaving uncovered the remaining granite, which fragmented and wrinckled itself into the continents. Without the Moon, the evolution of the life on the Earth, although it had been, would have been very different.(2)
Another good description of the earth-moon theory was given by Andrew Patterson:
In brief, the theory is that when the earth had cooled, from its molten condition sufficiently to have a crust of solidified matter something like thirty miles thick over its entire surface, it was revolving so rapidly that gravitational attraction and centrifugal force practically balanced each other. For some reason, perhaps some vast and sudden cataclysm, a large portion of this crust was thrown off the earth, and by tidal action was forced gradually outward in a spiral path. In order to form the moon, a mass of this crust about thirty miles thick and of area nearly equal to the combined areas of the present oceans on the earth must have been thrown off. It is supposed that this immense amount of crust was largely taken from the present basin of the Pacific, and that the remaining parts of the earth's crust, while it still floated on a liquid interior, split along an irregular line into two pieces which floated apart, and the gap between these two parts was later filled with the waters of the Atlantic.(7)
But following Gerstenkorn(11) we could arrive to a variation of this picture:
Following H. Gerstenkorn's calculations(11), developed by H. Alfven(9, 10), Earth's continents would be fragments of the Moon fell on our planet. The Moon in origin would also be a planet gravitating around the Sun, until such time as the proximity to the Earth derailed her from its orbit. Captured by Earth's gravity, the Moon came up more and more, tightening its orbit around us. At one point, the mutual attraction began to deform the surface of the two celestial bodies, raising high waves which were detached fragments whirling in space between Earth and Moon, especially fragments of lunar matter that fell on Earth. Later, under the influence of our tides, the Moon was pushed away to reach its present orbit. But part of the lunar mass, perhaps half, was left on Earth, forming the continents.(3)

The shield of Captain America

posted by @ulaulaman #physics #chemistry #superhero #CaptainAmerica
After the releasing of the movie Captain America: The first Avenger in 2011 by Paramount Picture, Suveen N. Mathaudhu, the Program Manager responsible for Synthesis and Processing of Materials at the U.S. Army Research Office in Durham, NC, written a brief article, The Making of Captain America's Shield (pdf), where he try to understand if today we have the ability to construct the Captain America's shield. Thanks to Lynne Robinson(1) and the Avengers movie, Mathaudhu and his little review returned to the attention of people.
First of all we try to resume the story of the Cap's shield. The first comics shield was a triangular shield but starting from Captain America Comics #2 (april 1941), Cap was equipped by the most famous circular shield:
A concavo-convex metal disc approximately 0.76 m in diameter, it is virtually indestructible and has remained his most constant shield over the decades.
Following Captain America #255 (march 1981), the shield was presented to Rogers by president Franklin Roosevelt(6).
It is created by the scientist Myron MacLain during some experiments with vibranium, an extraterrestrial metal introduced in Fantastic Four #53 with the ability to absorb vibrations(6). A useful utilization of the vibranium was made by Thor in Avengers #68 in order to contain the explosion of Ultron-6(5).
During the same saga (started on Avengers #66), MacLain presented for the first time the adamantium(6). This metal was created (or founded) by MacLain some years after the creation of Cap's shield: this last was made by an alloy of vibranium and steel with an unkown catalyst; so MacLain try to reproduce that experiment and he accidentaly created adamantium, like the same metallurgist telled in Captain America #303.

The Graham Bell's tetrahedronal shed

posted by @ulaulaman Thanks to @fadesingh #geometry #chemistry #math
Tony Smith realized an interesting shed that it seems inspired by the tetrahedron, a particular polyhedron, but following Tropolism, this idea was just used by Alexander Graham Bell:
The tetrahedron is in general a polyhedron constituted by four triangular sides. Now, if we describe every vertices of every sides with the vector $(x_i, y_i, z_i)$, where $i = 1, \cdots, 4$, then the volume of the tetrahedron is given by: \[V = \frac{1}{3!} \begin{vmatrix} x_1 & y_1 & z_1 & 1\\ x_2 & y_2 & z_2 & 1\\ x_3 & y_3 & z_3 & 1\\ x_4 & y_4 & z_4 & 1 \end{vmatrix}\] And if the tetrahedron is regular, we can relate in one beutiful formula, the volume $V$, the area $\Delta$ of the triangles and the radius $R$ of the sphere outside the tetrahedron (or the circumsphere)(1, *) \[6RV = \Delta^2\] The regulartetrahedron is also the platonic solid $P_5$
(...) with four polyhedron vertices, six polyhedron edges, and four equivalent equilateral triangular faces.
His symmetries are a bit complex, with 12 rotational symmetries, and the tetrahedral group is isomorphic with the symmetric group $S_4$, i.e. the group of all permutations of 4 elements.
The tetrahedron is also the basic idea to the Four corner project, developed by the artist David Barr in 1976, with the idea to realize a Erth-size tetrahedron in order to span our planet.
Finally we can find tetrahedron also in chemistry: methane, xenon tetroxide, perchlorate ion, sulfate ion, phosphate ion and others.
It's also interesting observe that also water presents a structure like a tetrahedron, but in this case isn't a regular polyhedron. In particular:
The most common arrangement of liquid water molecules is tetrahedral with two hydrogen atoms covalently attached to oxygen and two attached by hydrogen bonds. Since the hydrogen bonds vary in length many of these water molecules are not symmetrical and form transient irregular tetrahedra between their four associated hydrogen atoms.(2, 3)

(1) MathWorld: Weisstein, Eric W. Tetrahedron; Jackson, Frank and Weisstein, Eric W. Regular Tetrahedron
(2) Wikipedia: Tetrahedral molecular geometry
(3) P. E. Mason and J. W. Brady (2007). "Tetrahedrality" and the Relationship between Collective Structure and Radial Distribution Functions in Liquid Water. J. Phys. Chem. B 111 (20): 5669–5679

The science behind tears

posted by @ulaulaman about #chemistry #comics #tears
From the collaboration between the National Cartoonists' Society and the Center for Cartoon Studies, it is born the first issue of the first volume of the on-line magazine The Cartoon Crier. The tabloid is a collection of the saddest strips and cartoons from a lot of great cartoonists. In particular there is also a science comics, Lacrimal studies 101 by Jon Chad, from the Fizzmont institute of rad science(1).
The structure of the comic is like the series of stories named A Goofy Look At... and Goofy as a famous hystoric persons drawned in particular by Hector Adolfo de Urtiága, one of the cartoonists of the Jaime Diaz's studios.
But stop to write about comics and start with science, in particular about the three type of tears that our eyes can produce: basal, reflex and emotional.
Basal tears are produced by our eyes constantly to keep them moist. These tears contain glucose, mucin, lysozyme, lactoferrin, lipocaln, potassium and sodium
Reflex tears are produced when an irritant either physical (a poke in the eye) or chemical (onion fumes) agitates an eye!!
About the emotional tears(2) I find, instead, an interesting paper published last year on Science(3). First of all there is the composition:
Tears are drops of liquid produced by the lacrimal, accessory lacrimal, and Meibomian glands, which contain proteins, enzymes, lipids, metabolites, electrolytes, and traces of drugs. In mice, tears contain a chemosignal or pheromone. Because the chemical makeup of human emotional tears differs from that of reflexive eye-protective tears, we hypothesized that human tears may similarly convey a chemosignal.
The research team, in order to test their hypothesis, choses a group of women between 30 and 31 years and has occurred the effect of their tears on various groups of men. For various types of emotions and tears were used different groups of donors (each group had an average age 30 years old) and after the samples are submitted to the attention of different groups of men (mean ages of groups were between 28 and 29 years old). First of all, we must note that the first test has been necessary to understand if the tears had some odor able to distinguish them than, for example, a saline solution. After determining that the tears do not have characteristic odors, they went ahead quietly with the actual experiment that aimed to test one of the two hypotheses under consideration, i.e. either that tears contain chemical signals related to the context of sadness in which they were produced, or that human tears, such as those of the mice, are capable of signaling information related to the behavior sociosexual.
We can summarize the results with the following paragraph from the abstract:
We found that merely sniffing negative-emotion–related odorless tears obtained from women donors induced reductions in sexual appeal attributed by men to pictures of women's faces. Moreover, after sniffing such tears, men experienced reduced self-rated sexual arousal, reduced physiological measures of arousal, and reduced levels of testosterone. Finally, functional magnetic resonance imaging revealed that sniffing women's tears selectively reduced activity in brain substrates of sexual arousal in men.
The results, of course, carry with them a series of questions, such as which are the substances inside the tears responsible for this type of response, or if such signals is restricted to emotional tears, or if we can still find the same effect even in the tears of men than women.
It's also interesting to note what is not said in the paper, namely that this kind of research can provide the best information to more effectively convey a certain kind of commercial messages. Discover something about ourselves, like in this case, presents a downside: it can trivially be used against us. However I think that the beauty of the world around us is equal to similar risks, especially if certain findings are not closed to the rooms of the researchers and donors.
(1) A fake institute where we talk about REAL science!
(2) About emotional tears, I translate you a breaf quote from an italian pdf about tears:
This last type of tears [the emotional tears] contains very high percentages of manganese and some hormones including prolactin
(3) Gelstein, S., Yeshurun, Y., Rozenkrantz, L., Shushan, S., Frumin, I., Roth, Y., & Sobel, N. (2011). Human Tears Contain a Chemosignal Science, 331 (6014), 226-230 DOI: 10.1126/science.1198331 (4) Other links about research: Christine Dell'Amore for National Geographic and Janelle Weaver for Scientific American

The mathematics in the 2011 Nobel Prize in Chemistry

The Nobel Prize in Chemistry 2011 is assigned to Daniel Shechtman
for the discovery of quasicrystals
The paper of the discover, written with Blech, Gratias and Cahn, starting with the following worlds:
We report herein the existence of a metallic solid which diffracts electrons like a single crystal but has point group symmetry $m \bar{35}$ (icosahedral) which is inconsistent with lattice translations.(2)
The lattice translations are, indeed, most important tools in order to classify crystals. Indeed in 1992 the definition of crystals given by the International Union of Crystallography was:
A crystal is a substance in which the constituent atoms, molecules, or ions are packed in a regularly ordered, repeating three-dimensional pattern.
So the discover of Shechtman and collegues was very important: they introduce a new class of crystals, named quasicrystals by Levine and Steinhardt some weeks later(3), and a new way to view crystals.
In particular Shechtman, studying Al with 10–14% Mn, and collegues observed that
The symmetries of the crystals dictate that several icosahedra in a unit cell havedifferent orientations and allow them to be distorted (...)(2)
And when they observe crystal using lattice translations:
crystals cannot and do not exhibit the icosahedral point group symmetry.(2)
They also oserve that the formation of the icosahedral phase is a transition phase of the first order, because the two phases (the other is translational) coexist for a while during translation(2).