dihedral angle

简明释义

上反角

英英释义

例句

1.In geometry, the dihedral angle 二面角 between two planes is measured by the angle formed by their normals.

在几何学中，两个平面之间的dihedral angle 二面角 是通过它们的法线形成的角度来测量的。

2.Architects often use the concept of dihedral angle 二面角 when creating complex roof designs.

建筑师在创建复杂的屋顶设计时，通常会使用dihedral angle 二面角 的概念。

3.The dihedral angle 二面角 of a cube is 90 degrees, indicating that each face meets at a right angle.

一个立方体的dihedral angle 二面角 是90度，表明每个面在直角处相交。

4.When designing aircraft wings, engineers must consider the dihedral angle 二面角 for stability during flight.

在设计飞机机翼时，工程师必须考虑dihedral angle 二面角 以确保飞行稳定性。

5.The dihedral angle 二面角 in molecular structures can affect the properties of the compound significantly.

分子结构中的dihedral angle 二面角 可以显著影响化合物的性质。

作文

In the study of geometry and molecular structures, the concept of a dihedral angle is crucial for understanding the spatial arrangement of atoms or points in three-dimensional space. A dihedral angle refers to the angle formed between two intersecting planes. This term is particularly significant in fields such as chemistry, physics, and architecture, where the orientation and interaction of different elements are essential for design and function.To illustrate, consider a simple example: a square-based pyramid. The base of the pyramid lies flat on the ground, while the apex rises above it. The dihedral angle can be measured between the triangular faces of the pyramid and the base. Understanding this angle is vital for engineers who design structures that must withstand various forces and stresses, ensuring stability and durability.In chemistry, the dihedral angle plays a pivotal role in determining the conformation of molecules. For instance, in organic chemistry, the rotation around single bonds can lead to different spatial arrangements of atoms, known as conformers. The dihedral angle between these atoms can influence the molecule's reactivity, polarity, and overall stability. A classic example is butane, which has several conformations depending on the dihedral angle between its carbon atoms. These angles can affect how butane interacts with other molecules, making it essential for chemists to understand and manipulate these angles in synthetic processes.Moreover, the significance of the dihedral angle extends beyond theoretical studies; it has practical applications in fields such as material science and nanotechnology. Engineers often need to create materials with specific properties, and manipulating the dihedral angle at the molecular level can lead to innovations in material strength, flexibility, and conductivity. For example, in the development of new polymers, adjusting the dihedral angle can result in materials that are more resilient to environmental stressors.Architects also utilize the concept of the dihedral angle when designing buildings and structures. The angles formed by the intersection of walls and roofs can affect not only the aesthetic appeal of a building but also its energy efficiency. Properly calculating these angles can lead to better natural lighting and ventilation, reducing reliance on artificial heating and cooling systems.In summary, the dihedral angle is a fundamental concept that transcends various disciplines. Its implications in geometry, chemistry, engineering, and architecture highlight the interconnectedness of scientific principles and practical applications. As we continue to explore and innovate in these fields, a robust understanding of the dihedral angle will undoubtedly play a crucial role in advancing our knowledge and capabilities. Whether one is designing a new molecule or constructing a sustainable building, the principles surrounding the dihedral angle remain relevant and essential for success.In conclusion, mastering the concept of the dihedral angle is not just an academic exercise; it is a vital skill that can enhance one's ability to analyze and solve complex problems in various scientific and engineering contexts. By recognizing the importance of this angle, professionals can make informed decisions that lead to innovative solutions and advancements in technology and design.

在几何和分子结构的研究中，二面角的概念对于理解三维空间中原子或点的空间排列至关重要。二面角是指两个相交平面之间形成的角度。这个术语在化学、物理和建筑等领域特别重要，因为不同元素的方向和相互作用对设计和功能至关重要。举个简单的例子：一个正方形底面的金字塔。金字塔的底部平放在地面上，而顶点则高高耸起。可以测量金字塔的三角面与底面之间的二面角。理解这个角度对于设计必须承受各种力量和压力的结构的工程师来说至关重要，以确保稳定性和耐久性。在化学中，二面角在确定分子的构象方面发挥着关键作用。例如，在有机化学中，围绕单键的旋转可能导致原子的不同空间排列，称为构象体。原子之间的二面角会影响分子的反应性、极性和整体稳定性。一个经典的例子是丁烷，根据其碳原子之间的二面角，它具有几种构象。这些角度会影响丁烷与其他分子的相互作用，因此化学家在合成过程中理解和操纵这些角度是至关重要的。此外，二面角的重要性超越了理论研究；它在材料科学和纳米技术等领域具有实际应用。工程师常常需要创造具有特定性能的材料，而在分子水平上操纵二面角可以导致材料的强度、柔韧性和导电性方面的创新。例如，在新型聚合物的开发中，调整二面角可以产生对环境压力更具韧性的材料。建筑师在设计建筑和结构时也利用二面角的概念。墙壁和屋顶相交形成的角度不仅会影响建筑的美学吸引力，还会影响其能效。正确计算这些角度可以更好地利用自然光和通风，减少对人工供暖和制冷系统的依赖。总之，二面角是一个基本概念，跨越多个学科。它在几何、化学、工程和建筑中的影响突显了科学原理和实际应用之间的相互联系。随着我们继续探索和创新这些领域，对二面角的深入理解无疑将在推动我们的知识和能力方面发挥关键作用。无论是在设计新分子还是建造可持续建筑时，围绕二面角的原则始终保持相关性和必要性。最后，掌握二面角的概念不仅仅是学术练习；这是一项重要技能，可以增强个人在各种科学和工程背景下分析和解决复杂问题的能力。通过认识到这个角度的重要性，专业人士可以做出明智的决策，从而导致创新的解决方案和技术及设计的进步。