The simplest borate anion, BO < sub > 3 </ sub >< sup > 3 -</ sup >, has a trigonal planar structure and is analogous to the carbonate anion CO < sub > 3 </ sub >< sup > 2 -</ sup >, with which it is isoelectronic.

Structurally it is a silicate in which some SiO < sub > 4 </ sub > units are replaced by BO < sub > 4 </ sub >, together with a cation to compensate for the difference in oxidation states of Si ( IV ) and B ( III ).

The first two are dominant to the latter: that is, the AA and AO genotypes produce indistinguishable blood group phenotypes, called " Type A ", as do BB and BO, which produce " Type B " blood.

In quantum chemistry, the computation of the energy and the wavefunction of an average-size molecule is a formidable task that is alleviated by the Born – Oppenheimer ( BO ) approximation, named after Max Born and J. Robert Oppenheimer.

In the first step of the BO approximation the electronic Schrödinger equation is solved, yielding the wavefunction depending on electrons only.

The success of the BO approximation is due to the high ratio between nuclear and electronic masses.

Even in the cases where the BO approximation breaks down, it is used as a point of departure for the computations.

The Born – Oppenheimer ( BO ) approximation is ubiquitous in quantum chemical calculations of molecular wavefunctions.

( This first step of the BO approximation is therefore often referred to as the clamped nuclei approximation.

In the second step of the BO approximation the nuclear kinetic energy T < sub > n </ sub > ( containing partial derivatives with respect to the components of R ) is reintroduced and the Schrödinger equation for the nuclear motion

It will be discussed how the BO approximation may be derived and under which conditions it is applicable.

To that end the second step of the BO approximation is generalized to a set of coupled eigenvalue equations depending on nuclear coordinates only.

However, in the original paper the presentation of the BO approximation is well hidden in Taylor expansions ( in terms of internal and external nuclear coordinates ) of ( i ) electronic wave functions, ( ii ) potential energy surfaces and ( iii ) nuclear kinetic energy terms.

The country code for Bolivia is " BO ".

Back Orifice ( often shortened to BO ) is a controversial computer program designed for remote system administration.

The third word is often mis-reported as beginning with BO not BA in order to make it appear more Celtic and less Germanic.

Now if V < sub > AK </ sub > is increased beyond the breakdown voltage V < sub > BO </ sub > of the thyristor, avalanche breakdown of J < sub > 2 </ sub > takes place and the thyristor starts conducting ( On state ).

It is the first animated show to have a " BO " rating, then " R-BO " rating ( an Indonesian equivalent to the United States rating " PG ").

An example of the endearing points in these novels is the continuing appearance of monogrammed " BO " gifts from his mother-shirts, handkerchiefs, cigarette lighter, and so forth.

In the corresponding theory for the infinite orthogonal group, O, the space BO is the classifying space for stable real vector bundles.

ISO 3166-2: BO is the entry for Bolivia in ISO 3166-2, part of the ISO 3166 standard published by the International Organization for Standardization ( ISO ), which defines codes for the names of the principal subdivisions ( e. g., provinces or states ) of all countries coded in ISO 3166-1.

Saab also supplied two model 300 ( 269C ) light helicopters for additional training with Ghanaian help, plus anther was acquired as a presidential transport but was replaced in 1976 by a MBB BO 105.

* metaborates, such as LiBO < sub > 2 </ sub > contain long chains of trigonal BO < sub > 3 </ sub > structural units, each sharing two oxygen atoms with adjacent units.

Then AOE and BOE are right triangles with a common side, OE, and hypotenuses AO and BO, equal.

The inclusion of all n levels of excitation for the n-electron system gives the exact solution of the Schrödinger equation within the given basis set, within the Born – Oppenheimer approximation ( although schemes could also be drawn up to work without the BO approximation with great cost ).

* Data Visualization ( Dashboard Design / Xcelsius ) supports creation of flash dashboards and dynamic charts and graphics with data from BO XI, databases, or Excel spreadsheets.

" Here are some cards that didn't make it to print: Socks of Garfield, Hot Monkey Love, Colonel's Secret Recipe, Squee's Play, Banned in France, Spoon, Disrobing Scepter, Butt Wolf, Lotus Roach, Sesame Efreet, Needless Reminder Text, Chicken Choker, Clockwork Doppelganger, Henway, HELP I ' M TRAPPED IN CARTA MUNDI, Mad Cow, Poke, Lord of Wombats, Gratuitous Babe Art, Brothers ' War Bonds, Dwarven Kickboxer, Mickey's Drunk, Pact with the Wastes, CoP: BO, Urza's Chia Pet, Thallid Shooter, Shoelace, When Chihuahuas Attack, Wall of Cookies, Kobold Ninja, Mucusaur, Kjeldoran Outhouse, Bear in the Woods, Dental Thrull, Flavatog, Cereal Killer.

Tusionite is a rare colorless to transparent to translucent yellow brown trigonal borate mineral with chemical formula: MnSn ( BO < sub > 3 </ sub >)< sub > 2 </ sub >.

** 06. AB BO < sub > 3 </ sub >, with additional anions ; 1 ( D ) + OH, etc.

Any individual has one of six possible genotypes ( AA, AO, BB, BO, AB, and OO ) that produce one of four possible phenotypes: " A " ( produced by AA homozygous and AO heterozygous genotypes ), " B " ( produced by BB homozygous and BO heterozygous genotypes ), " AB " heterozygotes, and " O " homozygotes.

Tourmalines have a very complex chemistry that can be described by a general formula XY < sub > 3 </ sub > Z < sub > 6 </ sub >( BO < sub > 3 </ sub >)< sub > 3 </ sub > T < sub > 6 </ sub > O < sub > 18 </ sub > V < sub > 3 </ sub > W.

In 1978 both the helicopters and light trainers were sold and the air arm disappeared, the BO 105 was transferred to the civil register in 1985.

Larger borates are composed of trigonal planar BO < sub > 3 </ sub > or tetrahedral BO < sub > 4 </ sub > structural units, joined together via shared oxygen atoms and may be cyclic or linear in structure.

When boron forms three covalent bonds, as in the borate ion, BO < sub > 3 </ sub >< sup > 3 -</ sup >, it has a share in three pairs of electrons.

Thus, a cross between an AO father and a BO mother produces four possible genotypes AO, AB, BO, and OO, corresponding to four phenotypes, A, AB, B, and O.

The BO approximation makes it possible to compute the wavefunction in two less complicated consecutive steps.

In the second step of the BO approximation this function serves as a potential in a Schrödinger equation containing only the nuclei — for benzene an equation in 36 variables.

The BO approximation follows from the inertia of electrons being considered to be negligible in comparison to the atom to which they are bound.

This second step of the BO approximation involves separation of vibrational, translational, and rotational motions.

The brightest star is Gamma Microscopii, which has an apparent visual magnitude of 4. 68.

Alpha Microscopii is also a yellow giant, though in this case a variable star, which ranges between apparent magnitudes 4. 88 and 4. 94.

Epsilon Microscopii lies 165 light years away, and is a blue-white main sequence star of apparent magnitude 4. 7, and spectral type A1V.

AX Microscopii, better known as Lacaille 8760, is a red dwarf which lies only 12. 9 light years from our solar system.

WASP-7 is a star of magnitude 9. 54 which has been discovered to have an exoplanet WASP-7b, and AU Microscopii is a young star which appears to be a solar system in the making with a debris disk.

AU Microscopii ( AU Mic ) is a small star located away – about 8 times as far as our closest star after the Sun.

The apparent visual magnitude of AU Microscopii is 8. 73, which is too dim to be seen with the naked eye.

AU Microscopii is a member of the β Pictoris moving group.

AU Microscopii has been observed in every part of the electromagnetic spectrum from radio to X-ray and is known to undergo flaring activity at all these wavelengths.