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energy landscape : ウィキペディア英語版
energy landscape
In physics, chemistry and biochemistry, an energy landscape is a mapping of all possible conformations of a molecular entity, or the spatial positions of interacting molecules in a system, and their corresponding energy levels, typically Gibbs free energy.
The term is useful when examining protein folding; while a protein can theoretically exist in a nearly infinite number of conformations along its energy landscape, in reality proteins fold (or "relax") into secondary and tertiary structures that possess the lowest possible free energy. The key concept in the energy landscape approach to protein folding is the ''folding funnel'' hypothesis.
In catalysis, when designing new catalysts or refining existing ones, energy landscapes are considered to avoid low-energy or high-energy intermediates that could halt the reaction or demand excessive energy to reach the final products.
In glassing models, the local minima of an energy landscape correspond to metastable low temperature states of a thermodynamic system.
==Formal definition==

Mathematically, an energy landscape is a continuous function f : X \to \mathbb associating each physical state with an energy, where X is a topological space.
In the continuous case, X = \mathbb^n, where n is the number of degrees of freedom of the system. The graph of a continuous energy landscape is a hypersurface in \mathbb^.
Hills and valleys in the energy landscape correspond to local maxima and minima of f, respectively.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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