In geometry, a polar point group is a point group in which there is more than one point that every symmetry operation leaves unmoved. The unmoved points...

groups having an electric dipole moment, with a negatively charged end and a positively charged end. Polar molecules must contain one or more polar bonds...

and 221-230. Point groups lacking an inversion center (non-centrosymmetric) can be polar, chiral, both, or neither. A polar point group is one whose symmetry...

negative Polar question, a question that can be answered yes or no Polar point group, a symmetry in geometry and crystallography Pole and polar (a point and...

crystal that is polar is called a polar axis. Groups containing a polar axis are called polar. A polar crystal possesses a unique polar axis (more precisely...

In mathematics, the polar decomposition of a square real or complex matrix A {\displaystyle A} is a factorization of the form A = U P {\displaystyle A=UP}...

Look up polar opposite in Wiktionary, the free dictionary. A polar opposite is the diametrically opposite point of a circle or sphere. It is mathematically...

asymmetric groups this means totally diagonal. One further thing to note about the irrep/character table above is the appearance of polar and axial base...

A polar route is an aircraft route across the uninhabited polar ice cap regions. The term "polar route" was originally applied to great circle navigation...

The hexagonal crystal family consists of the 12 point groups such that at least one of their space groups has the hexagonal lattice as underlying lattice...

It revolves around the everyday lives of a group of animals mingling with humans at a café run by a polar bear. An anime adaptation by Studio Pierrot...

also be a solid, a gas, or a supercritical fluid. Water is a solvent for polar molecules, and the most common solvent used by living things; all the ions...

A polar aprotic solvent is a solvent that lacks an acidic proton and is polar. Such solvents lack hydroxyl and amine groups. In contrast to protic solvents...

the point group. There are 31 point groups compatible with ferroelectricity; these are generalizations of the crystallographic polar point groups. There...

Hermann-Mauguin notation, point groups, International Tables for Crystallography space group number, orbifold, type, and space groups are listed in the table...

an expedition of Soviet polar scientists led by Dmitry Shparo claimed to reach the original position by foot during a polar night.[citation needed] In...

Crystallography space group numbers, followed by the crystal class name, its point group in Schoenflies notation, Hermann–Mauguin (international) notation, orbifold...

(Russian-language titles) Polar Star (Decembrist journal) Polar Star (Herzen) [ru] Operation Polar Star, World War II Soviet military operation Polar Star Couloir...

to the body-centered tetragonal lattice with a smaller unit cell. The point groups that fall under this crystal system are listed below, followed by their...

normals. In three dimensions, the curl of a polar vector field at a point and the cross product of two polar vectors are pseudovectors. A number of quantities...

Polar the Titanic Bear is a children's book written by Margaretta "Daisy" Corning Spedden (née Stone) (19 November 1871 – 10 February 1950) and released...

apart. Surfactants are usually composed of a hydrocarbon chain and a polar head group. Increasing the length of the hydrocarbon chain increases the Krafft...

of the Pole, Hapgood conceded Einstein's point that the weight of the polar ice is insufficient to cause polar shift. Instead, Hapgood argued that causative...

Polar Star and the medium icebreaker USCGC Healy, with three new multi-mission vessels referred to as Polar Security Cutters (PSC). These heavy polar...

of the group continued using the studio to record their solo projects. In addition to ABBA, a range of other well-known artists recorded at Polar. Among...

having two methyl groups in the place of the two hydrogens. DMF is a polar (hydrophilic) aprotic solvent with a high boiling point. It facilitates reactions...

The Antarctic Plateau, Polar Plateau or King Haakon VII Plateau is a large area of East Antarctica that extends over a diameter of about 1,000 kilometres...

Free Electric State 2010s Indie Rock Nov 16, 2010 No No "Living Saints" Polar Bear Club 2000s Punk Nov 16, 2010 No No "Oceans Between Us" The Downtown...

two-dimensional point group or rosette group is a group of geometric symmetries (isometries) that keep at least one point fixed in a plane. Every such group is a...

tangent points. If a point lies on the circle, its polar is the tangent through this point. If a point P lies on its own polar line, then P is on the...