centrosymmetric point group

简明释义

中心对称式点群;

英英释义

例句

1.The optical properties of materials can be significantly affected by their centrosymmetric point group classification.

材料的光学特性可能会受到其中心对称点群分类的显著影响。

2.In crystallography, a crystal belongs to a centrosymmetric point group if it exhibits symmetry about a central point.

在晶体学中，如果一个晶体在中心点周围具有对称性，则它属于中心对称点群。

3.A centrosymmetric point group simplifies the mathematical treatment of certain physical phenomena in solid-state physics.

在固态物理中，中心对称点群简化了某些物理现象的数学处理。

4.The analysis of vibrational modes in molecules often requires identifying their centrosymmetric point group.

分子中振动模式的分析通常需要识别它们的中心对称点群。

5.Many piezoelectric materials do not belong to a centrosymmetric point group, which is essential for their functionality.

许多压电材料不属于中心对称点群，这对它们的功能至关重要。

作文

In the study of crystallography and molecular symmetry, the concept of a centrosymmetric point group is crucial for understanding how certain structures behave under various symmetry operations. A centrosymmetric point group is defined as a group of symmetry operations that includes a center of inversion. This means that for every point in the structure, there is an equivalent point located at an equal distance on the opposite side of this center. For example, if we consider a molecule or a crystal that possesses a centrosymmetric point group, any point (x, y, z) in the structure will have a corresponding point (-x, -y, -z). This property leads to unique physical and chemical characteristics, making it an important topic in both theoretical and applied sciences.One of the most significant implications of having a centrosymmetric point group is related to the optical properties of materials. Materials that exhibit this type of symmetry are generally non-polar, which means they do not exhibit optical activity. This is particularly important in fields such as optics and photonics, where the behavior of light interacting with materials is crucial. For instance, substances that lack a centrosymmetric point group can rotate the plane of polarized light, a property utilized in various applications, including pharmaceuticals and the development of new materials.Moreover, the presence of a centrosymmetric point group also influences the physical properties of crystals, such as their piezoelectric and ferroelectric characteristics. Crystals belonging to a centrosymmetric point group typically do not exhibit piezoelectricity, which is the electric charge that accumulates in certain materials in response to applied mechanical stress. This is because the inversion center cancels out any potential dipole moment that could arise from the displacement of charges. Understanding these properties is essential for engineers and scientists when designing devices that rely on piezoelectric materials, such as sensors and actuators.In addition to its implications in material science, the concept of a centrosymmetric point group also plays a role in the classification of molecules in chemistry. Molecules that possess this type of symmetry can often be more stable due to the uniform distribution of electron density around the center of inversion. This stability can affect reactivity and interaction with other molecules, influencing reaction pathways and mechanisms.In conclusion, the centrosymmetric point group is a fundamental concept in the fields of crystallography, chemistry, and material science. Its defining characteristic, the center of inversion, leads to a variety of important implications regarding the symmetry and properties of materials. From optical inactivity to the absence of piezoelectricity, understanding this symmetry group allows scientists and engineers to predict and manipulate the behavior of materials for various applications. As research continues to advance in these fields, the importance of the centrosymmetric point group will only grow, highlighting the intricate relationship between symmetry and the physical world around us.

在晶体学和分子对称性的研究中，中心对称点群的概念对于理解某些结构在各种对称操作下的行为至关重要。中心对称点群被定义为包括一个反演中心的对称操作组。这意味着在结构中的每个点都有一个位于此中心相对侧等距离的对应点。例如，如果我们考虑一个具有中心对称点群的分子或晶体，结构中的任何点（x，y，z）将具有相应的点（-x，-y，-z）。这一特性导致独特的物理和化学特性，使其成为理论和应用科学中的重要主题。拥有中心对称点群的一个重要影响与材料的光学特性有关。表现出这种对称类型的材料通常是非极性的，这意味着它们不表现出光学活性。这在光学和光子学等领域尤为重要，因为光与材料的相互作用行为至关重要。例如，缺乏中心对称点群的物质可以旋转偏振光的平面，这一特性被广泛应用于制药和新材料开发等多个领域。此外，中心对称点群的存在还影响晶体的物理特性，如压电性和铁电性。属于中心对称点群的晶体通常不表现出压电效应，即在施加机械压力时某些材料中积累的电荷。这是因为反演中心抵消了可能因电荷位移而产生的任何偶极矩。理解这些特性对于工程师和科学家在设计依赖于压电材料的设备（如传感器和执行器）时至关重要。除了在材料科学中的影响外，中心对称点群的概念在化学中也起着分子分类的作用。具有这种对称性的分子由于电子密度围绕反演中心的均匀分布，通常更稳定。这种稳定性会影响反应性和与其他分子的相互作用，从而影响反应途径和机制。总之，中心对称点群是晶体学、化学和材料科学领域的一个基本概念。其定义特征——反演中心，导致关于材料的对称性和特性的多种重要影响。从光学非活性到压电性缺失，理解这一对称群使科学家和工程师能够预测和操控材料的行为，以用于各种应用。随着这些领域研究的不断进展，中心对称点群的重要性只会增加，突显出对称性与我们周围物理世界之间的复杂关系。