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first and diatomic
The first ab initio Hartree – Fock calculations on diatomic molecules were carried out in 1956 at MIT, using a basis set of Slater orbitals.
For diatomic molecules, a systematic study using a minimum basis set and the first calculation with a larger basis set were published by Ransil and Nesbet respectively in 1960.
Spectroscopic studies revealed absorption lines in the Jovian spectrum due to diatomic sulfur ( S < sub > 2 </ sub >) and carbon disulfide ( CS < sub > 2 </ sub >), the first detection of either in Jupiter, and only the second detection of S < sub > 2 </ sub > in any astronomical object.
For example, in the homonuclear diatomic molecules of the first ten elements, the molecular orbitals derived from the p < sub > x </ sub > and the p < sub > y </ sub > atomic orbitals result in two degenerate bonding orbitals ( of low energy ) and two degenerate antibonding orbitals ( of high energy ).
It was introduced in 1929 by Sir John Lennard-Jones with the description of bonding in the diatomic molecules of the first main row of the periodic table, but had been used earlier by Linus Pauling for H < sub > 2 </ sub >< sup >+</ sup >.
This is the first application of quantum mechanics to the diatomic hydrogen molecule, and thus to the phenomenon of the chemical bond.

first and hydride
Wurtz's first published paper was on hypophosphorous acid ( 1841 ), and the continuation of his work on the acids of phosphorus ( 1845 ) resulted in the discovery of sulfophosphoric acid and phosphorus oxychloride, as well as of copper hydride.
Tetraborane, or to be more precise tetraborane ( 10 ) or arachno-B < sub > 4 </ sub > H < sub > 10 </ sub > was the first boron hydride compound to be classified by Stock and Messenez in 1912 and was first isolated by Alfred Hock.
In the presence of a very high concentration of base, the aldehyde first forms a doubly charged anion from which a hydride ion is transferred to the second molecule of aldehyde to form carboxylate and alkoxide ions.
It served as a test bed for the pancake-style motor, electronic control unit, power control unit and the Nickel-metal hydride battery ( NiMH ) later used in Honda hybrids and developed further in the first Honda FCX Fuel Cell Vehicles made from returned ( decommissioned ) EV Plus chassis.
For the second generation Fusion Hybrid the nickel-metal hydride batteries used in the hybrid first generation were replaced with lithium-ion batteries.

first and investigated
Several serpentinite deposits are being investigated as potentially large scale CO < sub > 2 </ sub > storage sinks such as those found in NSW, Australia, where the first mineral carbonation pilot plant project is underway.
The first archaeological excavations of the 1880s were followed by systematic work by the British School at Athens and by Christos Tsountas, who investigated burial sites on several islands in 1898-1899 and coined the term " Cycladic civilization ".
Another strong chlorine oxidant and bleach which he investigated and was the first to produce, potassium chlorate ( KClO < sub > 3 </ sub >), is known as Berthollet's Salt.
Static electricity was the first form discovered and investigated, and the electrostatic generator is still used even in modern devices such as the Van de Graaff generator and MHD generators.
Jeffrey Meyers, a prolific American biographer, was first to take advantage of this and published a book in 2001 that investigated the darker side of Orwell and questioned his saintly image.
His first aerodynamic experiments, an investigation of the air resistance of surfaces, was carried out by dropping the surface to be investigated together with a measuring apparatus down a vertical cable stretched between the second level of the Eiffel Tower and the ground.
Besides Zarathushtra's Gathas, Plato gives the earliest surviving account of a " natural theology ", around 360 BC, in his dialogue " Timaeus " he states " Now the whole Heaven, or Cosmos, ... we must first investigate concerning it that primary question which has to be investigated at the outset in every case ,— namely, whether it has existed always, having no beginning of generation, or whether it has come into existence, having begun from some beginning ".
In their first experiment, they investigated whether it was easier for speakers of English to remember color shades for which they had a specific name than to remember colors that were not as easily definable by words.
The phenomenon was first investigated and described by Luke Howard in the 1810s, although he was not the one to name the phenomenon.
Crystal symmetry was first investigated experimentally by Nicolas Steno ( 1669 ), who showed that the angles between the faces are the same in every exemplar of a particular type of crystal, and by René Just Haüy ( 1784 ), who discovered that every face of a crystal can be described by simple stacking patterns of blocks of the same shape and size.
The phenomenon of zodiacal light was first investigated by the astronomer Giovanni Domenico Cassini in 1683 and first explained by Nicolas Fatio de Duillier in 1684.
* The subject of alcohol and heart attacks is first investigated.
Paul Langevin first investigated quartz resonators for use in sonar during World War I.
The first antenna is the test antenna whose patterns are to be investigated ; this antenna is free to point in any direction.
When the French Government first investigated the idea of overhauling their system of measurement, Talleyrand, in the late 1780s, acting on Concordet's advice, invited Riggs, a British Parliamentarian and Thomas Jefferson, the American Secretary of State to George Washington, to work with the French in producing an international standard by promoting legislation in their respective legislative bodies.
The story has been known to be a myth since it was first investigated by the Old Rugbeian Society ( renamed the Rugbeian Society ) in 1895.
He investigated the phenomenon of refraction, deducing the wave theory of light, and was the first to suggest that matter expands when heated and that air is made of small particles separated by relatively large distances.
Bornman appears to have investigated the matter more intimately at first hand than most authors, and describes the root system as " rather shallow and simple, consisting of a tapering taproot with one or more non-tapering extensions, some pronounced lateral roots, and a network of delicate spongy roots.
He first investigated the rate of decrease in mean temperature with the increase in elevation above sea level, and afforded, by his inquiries regarding the origin of tropical storms, the earliest clue to the detection of the more complicated law governing atmospheric disturbances in higher latitudes ; while his essay on the geography of plants was based on the then novel idea of studying the distribution of organic life as affected by varying physical conditions.
When Luke and Mara Jade Skywalker investigated Thrawn's personal fortress, they encountered the Imperial officer who had first brought Thrawn to the Empire-Admiral Voss Parck.
This is referred to as a Bell-Bloom magnetometer, after the two scientists who first investigated the effect.
The first film was James L. Brooks's romantic comedy How Do You Know, which starred Witherspoon as a thirty-something former national softball player who struggles to choose between a philandering baseball star boyfriend ( Owen Wilson ) and a business executive being investigated for white collar crime ( Paul Rudd ).
As for Jamison, for at least fourteen years he claimed that he could not recall the exact location of the first UFO -- this being the one that was apparently never sighted, reported, or investigated by the USAF.

first and by
It looked as Gavin had first seen it years ago, on those nights when he slept alone by his campfire and waked suddenly to the hoot of an owl or the rustle of a blade of grass in the moon's wind -- a savage land, untenanted and brooding, too strong to be broken by the will of men.
There was an artificial lake just out of sight in the first stand of trees, fed by a half dozen springs that popped out of the ground above the hillside orchard.
When his head came down, Curt grabbed him by the hair and catapulted him head first into the wall.
at first gratingly, caught by grains of corn -- then with a clash into its slot.
In 1961 the first important legislative victory of the Kennedy Administration came when the principle of national responsibility for local economic distress won out over a `` state's-responsibility '' proposal -- provision was made for payment for unemployment relief by nation-wide taxation rather than by a levy only on those states afflicted with manpower surplus.
The first systematic thinking about this Pandora's box within Pandora's boxes was done four years ago by Fred Ikle, a frail, meek-mannered Swiss-born sociologist.
Life is further characterized, in antithesis to Piepsam, as animal: the image of a dog, which appears at several places, is first given as the criterion of amiable, irrelevant interest aroused by life considered simply as a spectacle: a dog in a wagon is `` admirable '', `` a pleasure to contemplate '' ; ;
This is the primary function of the imagination operating in the absence of the original experiential stimulus by which the images were first appropriated.
The first of two possible variations on this theme is symbolized by Mickey Spillane's Mike Hammer.
At first glance this appears strange: of all people, was not America founded by rugged individualists who established a new way of life still inspiring `` undeveloped '' societies abroad??
And for the first time a representative of the highest office in the land would have been liable to the charge that he had attempted to make it a successorship by inheritance.
And just as `` Laurie '' Lawrence was first attracted to bright Jo March, who found him immature by her high standards, and then had to content himself with her younger sister Amy, so Joe Jastrow, who had also been writing Henrietta before he came to Johns Hopkins, had to content himself with her younger sister, pretty Rachel.
The first thing to do is get her some money by a temporary but definite adjustment pending a final disposition of the case.
At this point Mrs. Frances Cupply, one of Wright's handsome daughters by his first wife, came from the house and tried to calm Miriam as she tore down a no visitors sign and smashed the glass pane on another sign with a rock.
The first news stories had it that this blaze was started by a bolt of lightning, as though Miriam could call down fire from heaven like a prophet of the Old Testament.
She describes, first, the imaginary reaction of a foreigner puzzled by this `` unseasonable exultation '' ; ;
`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.
`` We are menaced for the first time in the history of the Republic by the open and unblushing effort of a multi-millionaire to purchase the Presidential nomination.
We stopped first at the amphitheater that lies at the foot of the height crowned by the Parthenon.
Pike was stunned by the first blast against his character, which was published in the March 4th issue of The Gazette under the name `` Vale ''.
Although this kind of wholesale objection came at first from some men who were not technically Puritans, still, once the Puritans gained power, they climaxed the affair by passing the infamous ordinance of 1642 which decreed that all `` public stage-plays shall cease and be forborne ''.
But all the reports of this first embassy show that the two Savoyards were the heads of it, for they were the only ones who were empowered to swear for the king that he would abide by the pope's decision and who were allowed to appoint deputies in the event that one was unavoidably absent.
Asked by the townsmen to cease his suit, Greville had answered that `` hytt shulde coste hym 500 first & sayed it must be tried ether before my Lorde Anderson in the countrey or his uncle Ffortescue in the exchequer with whom he colde more prevaile then we ''.

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