p Orbitals
These are the axes.
Yes., and their being along the coordinate axes does not change the answer.Consider the vectors: i, -i and j where i is the unit vector along the x axis and j along the y axis. The resultant of the three is j.
Vector A is parallel to the cross product of vectors B and C, and it is parallel to the axis that neither B or C lie along if the two other axes are defined as the axes that B and C lie along.
x2/a2 + y2/b2 = 1, is the equation of an ellipse with semi-major axes a and b (that's the equivalent of the radius, along the two different axes), centered in the origin.
The x and y displacement from the origin along standard orthogonal axes
they are oriended along the x, y, and z axis(:
d orbitals have five positions.
This is an odd question. Usually it is considered that the electrons transferred to an anion populate the lowest available orbitals, in the case of N3- these would be the 2p orbitals. In valence bond theory which is used to explain the bonding in covalent chemical compounds, atomic orbitals are hybridised so as to create new orbitals that point along bond axes.
There always three p orbitals in each energy level. They always have the same general shape, dumbbells pointing along the x, y, z axes. The difference is the "size" - 3p extend further than 2p
Hybridisation is a mathematical technique in valence bond theory used "create" new (higher energy) orbitals from base atomic orbitals so that the new orbitals point along bond axes. Valence bond theory as its name suggests focuses on the localised electron pair. Other bonding theories such as molecular orbital theory do not hybridise the base atomic orbitals. Both theories have their merits.
Hybridisation is a mathematical technique in valence bond theory used "create" new (higher energy) orbitals from base atomic orbitals so that the new orbitals point along bond axes. Valence bond theory as its name suggests focuses on the localised electron pair. Other bonding theories such as molecular orbital theory do not hybridise the base atomic orbitals. Both theories have their merits.
A tangent of the vector is the projection of a vector along the axes of a coordinate system.
Linear axes are the axes that describe movement along a straight line
Linear axes are the axes that describe movement along a straight line
These are the axes.
Nitrate ions have no colour, while transition metal ions do. The colour in the transition metal is due to ligands (such as nitrate in this case) approaching the ion along the x, y and z axes. As the dx2-y2 and dz2 orbitals lie on these axes they will be repelled by the ligand (negative charges repel each other). The other orbitals (dxy dyz and dxz) do repel the ligand as well just to a much lesser extent. This creates an ligand field (difference of energy between the orbitals) Photons are then absorbed by the dxy dyz and dxz orbitals . The wavelength of photons absorbed will affect the colour of light seen, ie if green light is absorbed violet will be seen (in permanganate ions).
Yes., and their being along the coordinate axes does not change the answer.Consider the vectors: i, -i and j where i is the unit vector along the x axis and j along the y axis. The resultant of the three is j.