resonance integral

简明释义

共振积分

英英释义

例句

1.In quantum chemistry, the resonance integral helps determine the stability of a molecule.

在量子化学中，共振积分有助于确定分子的稳定性。

2.The calculation of the resonance integral is crucial in predicting molecular behavior.

计算共振积分对于预测分子行为至关重要。

3.Understanding the resonance integral can lead to advancements in material science.

理解共振积分可以推动材料科学的进步。

4.Researchers found that the resonance integral significantly affects reaction rates.

研究人员发现，共振积分显著影响反应速率。

5.The model used to calculate the resonance integral was validated through experiments.

用于计算共振积分的模型通过实验得到了验证。

作文

In the field of quantum mechanics and nuclear physics, the term resonance integral refers to a specific mathematical quantity that is crucial for understanding the interactions between particles, particularly in the context of neutron interactions with nuclei. The resonance integral is defined as the integral over energy of the product of the cross-section for a reaction and the density of states at that energy. This concept becomes particularly important when analyzing the behavior of neutrons in a reactor or during nuclear reactions. To grasp the significance of the resonance integral, one must first understand the concept of resonance itself. Resonance occurs when a system is driven by an external force at a frequency that matches its natural frequency, leading to a significant increase in amplitude. In nuclear physics, this means that certain energies will lead to enhanced interaction probabilities between neutrons and target nuclei, which can be quantitatively expressed using the resonance integral. The calculation of the resonance integral involves integrating the reaction cross-section over a range of energies where resonance effects are significant. This integral provides valuable information about the likelihood of specific nuclear reactions occurring under various conditions. For instance, in nuclear reactors, understanding the resonance integral helps in predicting how neutrons will interact with fuel materials, which is essential for optimizing reactor design and ensuring safety. Furthermore, the resonance integral plays a critical role in the field of medical physics, particularly in radiation therapy. By understanding the resonant behavior of particles, physicists can develop more effective treatment plans that maximize the damage to cancerous cells while minimizing harm to healthy tissue. This application underscores the importance of the resonance integral beyond theoretical physics, highlighting its practical implications in real-world scenarios. In conclusion, the resonance integral is a fundamental concept in nuclear physics that encapsulates the intricate relationship between particle interactions and energy states. Its applications extend from nuclear reactors to medical treatments, showcasing the versatility and importance of this mathematical tool in both theoretical and applied physics. Understanding the resonance integral not only deepens our comprehension of nuclear processes but also enhances our ability to harness these processes for practical benefits. As research continues to evolve, the significance of the resonance integral will undoubtedly grow, paving the way for new discoveries and innovations in science and technology.

在量子力学和核物理学领域，术语共振积分指的是一个特定的数学量，对于理解粒子之间的相互作用至关重要，特别是在中子与原子核相互作用的背景下。共振积分被定义为反应截面与该能量状态密度的乘积随能量的积分。这个概念在分析中子在反应堆中的行为或核反应时变得尤为重要。要理解共振积分的重要性，首先必须了解共振的概念。共振发生在当一个系统受到外部力驱动，其频率与系统的自然频率匹配时，导致幅度显著增加。在核物理中，这意味着某些能量将导致中子与目标原子核之间的相互作用概率增强，这可以通过共振积分进行定量表达。共振积分的计算涉及对一系列具有显著共振效应的能量范围内的反应截面进行积分。这个积分提供了关于在各种条件下特定核反应发生可能性的信息。例如，在核反应堆中，理解共振积分有助于预测中子如何与燃料材料相互作用，这对于优化反应堆设计和确保安全至关重要。此外，共振积分在医学物理学领域，特别是在放射治疗中也发挥着关键作用。通过理解粒子的共振行为，物理学家可以制定更有效的治疗方案，最大程度地损伤癌细胞，同时最小化对健康组织的伤害。这一应用强调了共振积分在理论物理之外的重要性，突显了其在现实场景中的实际影响。总之，共振积分是核物理学中的一个基本概念，概括了粒子相互作用与能量状态之间的复杂关系。它的应用从核反应堆延伸到医疗治疗，展示了这一数学工具在理论和应用物理中的多功能性和重要性。理解共振积分不仅加深了我们对核过程的理解，也增强了我们利用这些过程带来实际利益的能力。随着研究的不断发展，共振积分的重要性无疑会增长，为科学和技术的新发现和创新铺平道路。