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Structures of Solids02:22

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Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
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Gauss's Law: Planar Symmetry01:27

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A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
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Eccentric Axial Loading in a Plane of Symmetry01:16

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Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
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The Phragmoplast01:59

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Cell division is essential for organismal growth and development. In animal cells, the central spindle and its associated proteins form the midbody, a structure that has an essential role in cytokinesis. In plants, the central spindle, along with the microtubules, actin, and other cell components, matures into the phragmoplast, which is necessary for cytokinesis. Unlike the stationary midbody, the phragmoplast expands centrifugally, eventually leading to the formation of the new cell wall.
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When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
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This lesson delves into the geometry of a radical, which is influenced by the electronic structure of the molecule. The principle is similar to that of a lone pair, where the unpaired electron influences the geometry at the radical center.
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射线增长的空间对称性破坏系统中的类型结构.

G Facchini1,2, M A Budroni1,3, G Schuszter1,4

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概括

如今,复杂的自然模式,比如类型结构 (phyllotaxis),可以在新的系统中进行设计. 带有固定波长的辐射生长产生了这些自我组织的结构,扩大了植物学之外的可能性.

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科学领域:

  • 物理 物理学 物理
  • 化学 化学 化学
  • 生物学 生物学 生物学
  • 数学 数学 是一个数学.

背景情况:

  • 在自然界中,如在植物的叶子和种子中,观察到由元素的螺旋排列所特征的植物学模式.
  • 这些模式源于特定的生长规则,比如在顶点附近最大的可用间隙中形成新的原始生物.
  • 之前的实验表明,使用带有辐射向导,排斥元素的铁流体滴体,自发地形成了花.

研究的目的:

  • 为了证明,在空间对称性破坏系统中,在辐射增长过程中具有内在波长的类型结构可以真正发展.
  • 为了将线性元素释放的概念概括到表系中表现为辐射膨胀的系统.
  • 探索各种物理和化学系统中这些模式的形成.

主要方法:

  • 从数值上研究了两个模型:反应驱动的相变和空间图灵模式.
  • 进行化学沉模式的实验,观察模式的形成.
  • 专注于带有辐射增长和内在波长限制的系统.

主要成果:

  • 已被证明,在带有辐射增长和固定波长的系统中,植物学结构会发展.
  • 在辐射膨胀 (扩散性或向导性) 期间保持固定波长的约束被证明是泛化类形成的.
  • 在数值模型和实验化学沉中成功观察了模式形成.

结论:

  • 植物学模式可以在更广泛的空间对称性破坏系统中形成,超出了植物学例子.
  • 这项工作将植物排列的机制概括为具有内在波长和辐射增长的系统.
  • 这些发现为在各种科学领域设计复杂的自我组织结构开辟了道路.