There is no long-range order to the pattern of the atoms.

In other materials, there is no long-range order in the position of the atoms.

Generally, they are able to flow like a liquid, but exhibiting long-range order.

With long-range order, peaks last longer and have greater impact: the equilibrium shifts for a while.

For many applications, large numbers of nanostructures with a well-defined long-range order are required.

Adsorbed layers on single crystal surfaces usually exhibit a long-range order.

Long-range order characterizes physical systems in which remote portions of the same sample exhibit correlated behavior.

If, however, the correlation function decays to a constant value at large then the system is said to possess long-range order.

This illustrates vividly the absence of "long-range order" in liquids and glasses.

Crystalline materials contain uniform planes of atoms organized with long-range order.

He envisions "a state in which there is no long-range order, no regular structure, very much like a fluid."

In two dimensions, the subject of superconductivity becomes very interesting because the existence of true long-range order is not possible.

What is more, the long-range order present in crystalline matter, but absent in glass, is important.

Glass, some ceramics, and many natural materials are amorphous, not possessing any long-range order in their atomic arrangements.

Like other glasses, there is no medium or long-range order, but the first co-ordination sphere is well defined.

Depending on how the correlations decay with distance, one speaks of long-range order or short-range order.

Ceramic materials may have a crystalline or partly crystalline structure, with long-range order on atomic scale.

A numerical factor by which spin-wave and finite-lattice estimates of the long-range order parameter differ is discussed.

At the other extreme, the atoms of an ideal gas have no long-range order and are modelled by a uniformly random distribution of points.

Long-range order in the alloyed Cu/Pd surface is also calculated as a function of temperature.

Atomic force microscopy (AFM) images showed a significant increase in long-range order after heating.

In a liquid, atoms do not form a crystalline lattice, nor do they show any other form of long-range order.

A phase transition to spontaneous long-range order of microscopic magnetic toroidal moments has been termed "ferrotoroidicity".

Due to the long-range order of these ripples, minigaps in the electronic band-structure (Dirac cone) become visible.

These dimers reconstruct in rows with a high long-range order, resulting in a surface of filled and empty rows.