分子电子学

Mode-locking is a technique for producing extremely short laser pulses, on the order of picoseconds ([latex]10^{-12}[/latex] s) to femtoseconds ([latex]10^{-15}[/latex] s). It works by forcing the many longitudinal modes of the laser cavity to oscillate with a fixed phase relationship. This causes the modes to interfere constructively, creating a single, intense, ultrashort pulse circulating in the cavity.

自上而下的合成是指从较大的块体材料开始，将其分解或图案化至纳米尺度，从而创建纳米材料。关键技术包括球磨等机械方法和光刻方法，例如光刻、电子束光刻和纳米压印光刻。这些方法通常用于创建结构化表面和集成电路，但可能会受到表面缺陷的影响。

Flywheel energy storage (FES) works by accelerating a rotor (flywheel) to a very high speed and maintaining the energy in the system as rotational kinetic energy. The energy stored is proportional to the square of the rotational speed. When energy is extracted, the flywheel's rotation slows down. The formula for stored energy is [latex]E = \frac{1}{2} I \omega^2[/latex], where I is the moment of inertia and ω is the angular velocity.

失效物理学（PoF）是一种可靠性工程方法，它利用材料科学和物理学的知识来理解和模拟失效的根本原因机制。它并非仅仅依赖于以往失效的统计数据，而是通过分析导致性能退化和失效的物理过程（例如疲劳、腐蚀、蠕变）来预测失效。

The Quantum Size Effect describes the phenomenon where the electronic and optical properties of a material change as its size approaches the nanoscale. When the dimensions of a material become comparable to the electron's de Broglie wavelength, quantum confinement occurs. This quantizes the electron energy levels, leading to a size-dependent band gap, [latex]E_g(R) \approx E_{g,\b\u\lk} + \frac{\hbar^2\pi^2}{2R^2}(\frac{1}{m_e^*} + \frac{1}{m_h^*})[/latex].

The equilibrium vapor pressure of water over a liquid surface in moist air ([latex]p^*_{H_2O,a}[/latex]) is slightly greater than the equilibrium vapor pressure over a pure water surface ([latex]p^*_{H_2O}[/latex]). This difference is quantified by the water vapor enhancement factor, [latex]f_w[/latex], which depends on temperature and the pressure of the moist air. The relationship is [latex]p^*_{H_2O,a} = f_w(T, p_{ms}) \cdot p^*_{H_2O}[/latex].

The discovery that europium-doped yttrium vanadate ([latex]YVO_4:Eu^{3+}[/latex]) could act as a brilliant red phosphor was a critical breakthrough for color television. Before this, red phosphors were weak, resulting in dull colors. The intense, narrow-band red emission from the [latex]Eu^{3+}[/latex] ion allowed for bright, vibrant color displays, dramatically improving the quality of color TV and setting the standard for display technology.

UNISURF 由法国工程师皮埃尔·贝塞尔 (Pierre Bézier) 于 20 世纪 60 年代为雷诺 (Renault) 开发，是首批真正的 3D CAD/CAM 系统之一。其核心创新在于使用了如今被称为贝塞尔曲线和曲面的技术。这些曲线和曲面是由一组控制点定义的参数曲线，能够直观地以数学方式创建复杂的车身自由形状。

Superconducting Magnetic Energy Storage (SMES) systems store energy in the magnetic field created by the flow of direct current in a superconducting coil. The energy can be stored indefinitely as long as the coil is kept at superconducting temperatures, as there is virtually no energy loss due to electrical resistance. The stored energy is given by [latex]E = \frac{1}{2} L I^2[/latex].

The Ganz-Griesser whiteness index is a linear formula widely used, particularly in the textile industry. It is derived from CIE tristimulus values and is defined as [latex]W_{GG} = Y - Px - Qy + C[/latex], where P, Q, and C are constants specific to the illuminant and observer. For the D65/10° condition, the formula is [latex]W_{GG} = Y - 1868.322x - 3695.690y + 1809.441[/latex].

Lithium-ion batteries function via an intercalation mechanism, a reversible insertion of ions into a layered host material. During discharge, lithium ions ([latex]Li^+[/latex]) de-intercalate from a negative electrode (anode), typically graphite, and move through a non-aqueous electrolyte to intercalate into a positive electrode (cathode), typically a metal oxide. Electrons travel through the external circuit, creating current.

放电深度 (DoD) 表示电池容量已释放的百分比。它是充电状态 (SoC) 的倒数，其中 100% DoD 表示电池电量已耗尽。电池的循环寿命与其平均 DoD 高度相关；较低的 DoD 循环次数（例如，仅放电至容量的 80%）可显著增加电池的循环次数。

MEMS scaling laws describe how physical forces and properties change as device dimensions shrink to the microscale. Unlike the macroscopic world dominated by gravity and inertia, micro-domains are governed by surface forces like surface tension, viscosity, and electrostatic forces. For example, force due to gravity scales with volume ([latex]L^3[/latex]), while electrostatic force scales with area ([latex]L^2[/latex]), becoming relatively stronger at smaller sizes.