The effect of local dipole moments on the structure and lattice dynamics of K0.98Li0.02TaO3
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溶液法测定偶极矩实验报告引言溶液法测定偶极矩是一种重要的实验方法,它可以用于研究分子的结构和电荷分布。
偶极矩是描述分子极性的物理量,通过测定溶液中分子的电矩,我们可以得到重要的结构信息。
本实验旨在通过溶液法测定偶极矩,探究分子的电荷分布和极性。
实验原理溶液法测定偶极矩的原理是基于电荷的分布和分子极性的关系。
对于一个带有正负电荷的分子,它会形成一个偶极矩。
偶极矩的大小与电荷的量和位置有关,可以用数学公式表示为:μ=Q⋅d其中,μ表示偶极矩,Q表示电荷的量,d表示电荷之间的距离。
在溶液中,如果溶质分子是极性的,那么它会和溶剂分子之间形成静电相互作用力,使得极性分子在溶液中呈现偶极矩的状态。
同时,溶液中的温度和压力变化也会对溶液中的偶极矩产生影响。
实验步骤1.准备实验所需的溶液:选择适当的溶剂和溶质,按照一定的比例将它们混合在一起,制备出所需要的溶液。
2.使用测定装置:将制备好的溶液倒入测定装置中,确保装置密封良好,避免溶液的挥发和外界干扰。
3.测定溶液的电矩:通过测量溶液中的电矩大小,可以间接得到分子的电荷分布和偶极矩的大小。
常用的测定方法有介电质测定法、电容测定法等。
4.记录实验数据:将测得的电矩数值记录下来,以备后续的数据分析和处理。
实验结果分析1.通过测量不同浓度的溶液的电矩值,可以观察到电矩与溶液浓度之间的关系。
一般情况下,溶液浓度越高,分子之间的作用力越强,电矩值也越大。
2.分析不同溶液中的分子结构和电荷分布,可以进一步研究溶液的偶极矩与分子结构之间的关系。
通过对比不同分子的电矩数值,可以得到分子的相对极性大小。
结论通过溶液法测定偶极矩的实验,我们可以得到分子的偶极矩数值,并进一步研究分子的极性和电荷分布。
溶液法测定偶极矩是一种重要的实验方法,它对于了解分子的结构和性质具有重要意义。
我们可以通过实验数据的分析和处理,得到有关分子结构和偶极矩的重要信息,为相关研究提供支持和依据。
参考文献1.XYZ. (2010). Solution-phase measurement of dipole moments. Journalof Molecular Science, 10(2), 100-120.2.ABC. (2005). Theoretical analysis of dipole moments in solution.Journal of Physical Chemistry, 50(3), 200-220.3.DEF. (2012). Experimental techniques for measuring dipole momentsin solution. Analytical Chemistry Review, 15(1), 50-70.致谢感谢实验组的所有成员在实验过程中的辛勤努力和合作。
the tyndall effect thus implies“The Tyndall Effect”is a phenomenon often observed in everyday life, in which the scattering of light by suspended particles in a medium leads to the appearance of a visible beam of light. In this article, we will explore the underlying principles behind the Tyndall Effect and delve into its implications in various fields.Firstly, let us understand the basic concept of the Tyndall Effect. Named after the 19th-century physicist John Tyndall, this effect occurs when light encounters particles within a medium, causing some of the light rays to scatter in different directions. The scattered light is then reflected or refracted, creating a visible beam or cone of light. This phenomenon is most noticeable when a beam of light passes through a cloudy liquid or a dusty room, where suspended particles are abundant.To comprehend why the Tyndall Effect occurs, we must delve into the behavior of light waves. Light is composed of electromagnetic waves, which consist of alternating electric and magnetic fields. When light interacts with particles in a medium, such as smoke particles or water droplets, the electric and magnetic fields can induce a dipole moment within the particles. As a result of thisinteraction, the light waves are scattered in various directions.The intensity and color of the scattered light depend on the size of the particles and the wavelength of light. If the particles are larger than the wavelength of incident light, the scattered light will contain various colors, resulting in white light. However, if the particles are smaller than the wavelength of light, the scattering will be more pronounced for shorter wavelengths, such as blue and violet light. This explains why the scattered light appears blue, while the transmitted light through the medium appears yellow or red, as blue light is scattered more strongly in the atmosphere.Now that we have grasped the fundamental principles of the Tyndall Effect, let us explore its implications in various fields. One significant area where the Tyndall Effect is commonly observed is in atmospheric science. This phenomenon plays a crucial role in the scattering of sunlight in the Earth's atmosphere, giving rise to the blue color of the sky. As sunlight encounters tiny molecules and particles in the atmosphere, the shorter blue and violet wavelengths of light are scattered more efficiently, creating the appearance of a blue sky.Additionally, the Tyndall Effect has significant applications in the field of medical diagnostics. This effect is often exploited in technologies such as turbidimetry and nephelometry, which measure the concentration of suspended particles in a liquid sample. By analyzing the scattered light, these techniques allow healthcare professionals to identify abnormalities or monitor the progress of certain diseases, such as kidney disorders or bacterial infections.Furthermore, the Tyndall Effect has numerous applications in industrial processes. For instance, in the field of cosmetics, manufacturers use this phenomenon to create shimmering or sparkling effects in products. By incorporating finely suspended particles that scatter light, such as mica or titanium dioxide, cosmetics can enhance the perceived appearance of skin or add an iridescent quality to lipsticks or nail polishes.In conclusion, the Tyndall Effect is a fascinating phenomenon that arises from the scattering of light by suspended particles in a medium. This effect has implications in various fields, ranging from atmospheric science to medical diagnostics and industrialapplications. By understanding the underlying principles behind the Tyndall Effect, we can appreciate the beauty of everyday occurrences and harness its potential in diverse areas of research and development.。
带动效应英语Here is an essay on the topic of "Spillover Effect" in English, with the content exceeding 1000 words as per your instructions. The essay does not include a title and has no extra punctuation marks in the main body.The modern global economy is a complex and interconnected system, where the actions and decisions of one entity can have far-reaching consequences on others. This phenomenon, known as the "spillover effect," is a crucial concept in understanding the dynamics of the world's economic landscape. The spillover effect refers to the indirect impact that one event, decision, or change can have on other related entities, sectors, or regions, even if they are not directly involved.One of the most prominent examples of the spillover effect can be seen in the financial markets. When a major financial institution experiences a crisis or instability, the ripple effects can be felt across the entire financial system. The collapse of Lehman Brothers in 2008, for instance, triggered a global financial crisis that had devastating consequences for economies around the world. The failure of this one investment bank led to a domino effect, as other financialinstitutions, businesses, and consumers were impacted by the resulting credit crunch, stock market volatility, and economic downturn.The spillover effect is not limited to the financial sector; it can also be observed in various other industries and domains. In the realm of international trade, for example, the imposition of tariffs or trade barriers by one country can have a significant impact on the economies of its trading partners. When a country raises import duties on certain goods, the increased costs can lead to higher prices for consumers in that country, as well as reduced demand for the affected products. This, in turn, can affect the suppliers and producers in the exporting countries, leading to decreased sales, job losses, and economic slowdown.Similarly, the development of new technologies or innovations can have a profound spillover effect on related industries and sectors. The advent of the internet, for instance, has transformed the way we communicate, work, and access information, leading to the disruption of traditional business models and the emergence of entirely new industries. The rise of e-commerce, for example, has had a significant impact on the retail sector, forcing traditional brick-and-mortar stores to adapt their strategies and operations to compete with online platforms.The spillover effect can also be observed in the realm of social and environmental issues. The outbreak of a pandemic, such as the COVID-19 crisis, can have far-reaching consequences beyond the immediate health impact. The lockdowns and social distancing measures implemented to control the spread of the virus have led to widespread economic disruption, job losses, and mental health challenges. These ripple effects have been felt across various sectors, from hospitality and transportation to education and healthcare.Moreover, the environmental impact of human activities can also have spillover effects. The deforestation of the Amazon rainforest, for instance, not only affects the local ecosystem but also has global implications for climate change, biodiversity, and the well-being of indigenous communities. The loss of these vital natural resources can then have cascading effects on related industries, such as agriculture, tourism, and the pharmaceutical industry, which rely on the preservation of these ecosystems.The recognition of the spillover effect is crucial for policymakers, business leaders, and individuals alike. Understanding how actions and decisions in one area can have unintended consequences in other domains is essential for developing effective strategies and policies that address complex, interconnected challenges. By anticipating and mitigating potential spillover effects, stakeholders can make more informed decisions and implement more holisticsolutions that consider the broader implications of their actions.In conclusion, the spillover effect is a fundamental concept that highlights the interconnectedness of the modern world. From financial markets to technological innovations, social issues to environmental concerns, the ripple effects of one event or decision can have far-reaching consequences that extend beyond the immediate scope of the initial action. By recognizing and understanding the dynamics of the spillover effect, we can better navigate the complex and ever-evolving global landscape, fostering more resilient and sustainable systems for the benefit of all.。
旁观效应英文作文英文:The bystander effect is a psychological phenomenon where individuals are less likely to offer help to a victim when there are other people present. I have personally experienced this phenomenon when I witnessed a car accident on the street. Instead of rushing to help the victims, I found myself looking around to see if anyone else was taking action. It was as if I was waiting for someone else to step in and take charge. This feeling of hesitancy and reluctance to take action is a common occurrence in situations where there are multiple bystanders.One classic example of the bystander effect is the case of Kitty Genovese, a young woman who was brutally murdered in New York City in 1964. Despite her screams for help, none of the 38 witnesses who heard her cries intervened or called the police. This tragic incident brought the bystander effect to the forefront of public awareness andsparked research into the psychological and social factors that contribute to this behavior.The bystander effect is often attributed to thediffusion of responsibility, where individuals feel less accountable for taking action because they assume that someone else will do so. This diffusion of responsibility can lead to a collective inaction, as each bystander looksto others to take the lead. Additionally, social influence and the fear of embarrassment or making a mistake in frontof others can also play a role in inhibiting proactive behavior in a group setting.中文:旁观效应是一种心理现象,当有其他人在场时,个体更不愿意提供帮助。
2021年高三教学质量检测试卷英语注意事项:1.本试卷由四个部分组成。
其中,第一、二部分和第三部分的第一节为选择题。
第三部分的第二节和第四部分为非选择题。
2.答卷前,考试务必将自己的姓名、准考证号填写在答题卡上。
3.回答选择题时,选出每小题答案后,用2B铅笔把答题卡上对应题目的答案标号涂黑;回答非选择题时,将答案写在答题卡上,写在本试卷上无效。
第一部分听力(共两节,满分30分)做题时,先将答案标在试卷上。
录音内容结束后,你将有两分钟的时间将试卷上的答案转涂到答题卡上。
第一节(共5小题;每小题1.5分,满分7.5分)听下面5段对话。
每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1.Where does the conversation take place?A. At home.B. In a classroom.C. In a supermarket.2.When do the staff begin to check the tickets?A. At 7:15 pm.B. At 7:25pm.C.At7:30pm.3.How does the woman feel now?A. Confident. B. Nervous. C. Calm.4.What do we know about the new clothes shop?A. It’s crowded on Saturday. B. The clothes are cheap. C. There are many changing rooms.5.What will the man probably do?A. Have the computer repaired. B. Call Mr. Steven in Washington. C. Get the email sent the next door. 第二节(共15小题;每小题1.5分,满分22.5分)听下面5段对话或独白。
雾都明灯照亮前行之路800字英语作文In the realm of literature, the enigmatic novel "Great Expectations" by Charles Dickens stands as a testament to the transformative power of hope amid adversity. The protagonist, Pip, embarks on a journey fraught with challenges and moral dilemmas, yet guided by a beacon of light in the midst of the murky fog of his circumstances.Pip's early life in the marshes of Kent is marked by poverty and social isolation. His upbringing amidst the desolate landscape mirrors the fog that envelops his path, obscuring his future prospects. However, a profound encounter with a mysterious convict, Magwitch, ignites a glimmer of hope within him. Magwitch's enigmatic instructions to "be a gentleman" become a guiding star, illuminating the path to a life beyond his humble beginnings.As Pip ventures into the bustling metropolis of London, he is confronted with the complexities of society and thecorrosive nature of ambition. The fog of superficiality and materialism permeates the upper echelons, threatening to extinguish the flame of hope that once burned brightly within him. Yet, amidst the moral murkiness, there remains a flicker of resilience and integrity within Pip.Through the mentorship of the kind-hearted Mr. Jaggers, Pip grapples with the consequences of his actions and the moral ambiguity of his aspirations. The courtroom scenes serve as moments of profound reflection, where the fog of deceit is gradually dispelled by the light of truth. Pip's recognition of his own shortcomings and his empathy for those wronged by his past actions mark a significantturning point in his journey.Like the fog that periodically lifts to reveal a glimpse of clarity, Pip experiences brief moments of enlightenment. His reunion with his childhood sweetheart, Estella, stirs within him a longing for redemption and reconciliation. However, the fog of her own hardened heart obscures the path to their potential happiness, leaving Pip once again adrift in a sea of uncertainty.Yet, amidst the despair, hope persists. Pip's encounter with Herbert Pocket, a loyal and steadfast companion, becomes a lifeline in the darkest hours. Herbert's unwavering belief in Pip's goodness and his willingness to support him through adversity serve as a constant reminder of the importance of human connection.As the novel reaches its climax, the fog of Pip's past actions and the fog of his uncertain future seem to converge, threatening to engulf him entirely. However, the light of redemption breaks through the darkness as Pip makes the ultimate sacrifice to save Magwitch, the man who had once shown him kindness.In this act of selfless love, Pip's moral compass is rectified, and the fog that has shrouded his path gradually dissipates. The revelation of Magwitch's true identity and the circumstances surrounding his life of crime serve as a profound reminder of the complexities of human nature and the importance of compassion.Finally, Pip returns to his humble beginnings, his journey complete. He carries with him the lessons learned amidst the fog of adversity, the scars of his mistakes, and the enduring flame of hope that had illuminated his path. The fog may never完全 disappear, but it no longer obscures his vision. Pip has become a true gentleman, not in the superficial sense of social status, but in the profound sense of moral integrity.The enduring legacy of "Great Expectations" lies in its exploration of the transformative power of hope in the face of adversity. Pip's journey reminds us that even amidst the darkest of times, the light of compassion, loyalty, and redemption can guide us towards our true selves. The fog of uncertainty and moral ambiguity may linger, but it is the persistent pursuit of hope that ultimately illuminates the path to a meaningful and fulfilling life.。
NANO-SCALE MATERIALS DEVELOPMENT FOR FUTUREMAGNETIC APPLICATIONSpM.E.McHENRY and UGHLIN {Department of Materials Science and Engineering,Data Storage Systems Center,Carnegie MellonUniversity,Pittsburgh,PA 15213,USA(Received 1June 1999;accepted 15July 1999)Abstract ÐDevelopments in the ®eld of magnetic materials which show promise for future applications are reviewed.In particular recent work in nanocrystalline materials is reviewed,with either soft or hard beha-vior as well as advances in the magnetic materials used for magnetic recording.The role of microstructure on the extrinsic magnetic properties of the materials is stressed and it is emphasized how careful control of the microstructure has played an important role in their improvement.Important microstructural features such as grain size,grain shape and crystallographic texture all are major contributors to the properties of the materials.In addition,the critical role that new instrumentation has played in the better understanding of the nano-phase magnetic materials is demonstrated.#2000Published by Elsevier Science Ltd on behalf of Acta Metallurgica Inc.All rights reserved.Keywords:Soft magnetic materials;Hard magnetic materials;Recording media;Microstructure;Nano-phase1.INTRODUCTIONWhether it can be called a revolution or simply a continuous evolution,it is clear that development of new materials and their understanding on a smaller and smaller length scale is at the root of progress in many areas of materials science [1].This is particularly true in the development of new mag-netic materials for a variety of important appli-cations [2±5].In recent years the focus has moved from the microcrystalline to the nanocrystalline regime.This paper intends to summarize recent developments in the synthesis,structural character-ization,and properties of nanocrystalline and mag-nets for three distinct sets of magnetic applications:1.Soft magnetic materials.2.Hard magnetic materials.3.Magnetic storage media.The underlying physical phenomena that motivate these developments will be described.A unifying theme exists in the understanding of the relation-ships between microstructure and magnetic aniso-tropy (or lack thereof)in materials.The term ``nanocrystalline alloy''is used to describe those alloys that have a majority of grain diameters in the typical range from H 1to 50nm.This term will include alloys made by plasma processing [6±8],rapid solidi®cation,and deposition techniques where the initial material may be in the amorphous state and subsequently crystallized.We discuss processing methods to control chemistry and microstructural morphology on increasingly smaller length scales,and various developing experimental techniques which allow more accurate and quantitative probes of struc-ture on smaller length scales.We review the impact of microstructural control on the develop-ment of state of the art magnetic materials.Finally we o er a view to the future for each of these applications.Over several decades,amorphous and nanocrys-talline materials have been investigated for appli-cations in magnetic devices requiring either magnetically hard or soft materials.In particular,amorphous and nanocrystalline materials have been investigated for various soft magnetic applications including transformers,inductive devices,etc.In these materials it has been determined that an im-portant averaging of the magnetocrystalline aniso-tropy over many grains coupled within an exchange length is the root of the magnetic softness of these materials.The fact that this magnetic exchangeActa mater.48(2000)223±2381359-6454/00/$20.00#2000Published by Elsevier Science Ltd on behalf of Acta Metallurgica Inc.All rights reserved.PII:S 1359-6454(99)00296-7/locate/actamatpThe Millennium Special Issue ÐA Selection of Major Topics in Materials Science and Engineering:Current status and future directions,edited by S.Suresh.{To whom all correspondence should be addressed.length is typically nanometers or tens of nanometers illustrates the underlying importance of this length scale in magnetic systems.In rare earth permanent magnets [9],it has been determined that a microstructure containing two or more phases,where the majority phase is nanocrys-talline (taking advantage of the favorable high coer-civity in particles of optimum size)and one or more of the phases are used to pin magnetic domain walls leads to better hard magnetic properties.Still another exciting recent development has been the suggestion of composite spring exchange magnets [10]that combine the large coercivities in hard mag-nets with large inductions found in softer transition metal magnets.Again chemical and structural vari-ations on a nano-scale are important for determin-ing optimal magnetic properties.In the area of magnetic storage media future pro-gress will also rely on the ability to develop control over microstructure at smaller size scales so as to impact on storage densities.Here the issue of ther-mal stability of the magnetic dipole moment of ®ne particles has become a critical issue,with the so-called superparamagnetic limit on the horizon.The need to store information in smaller and smaller magnetic volumes pushes the need to develop media with larger magnetocrystalline anisotropies.2.DEFINITIONSTechnical magnetic properties [11,12]can be de®ned making use of a typical magnetic hysteresis curve as illustrated in Fig.1.Magnetic hysteresis [Fig.1(a)]is a useful attribute of a permanent mag-net material in which we wish to store a large meta-stable magnetization.Attributes of a good permenent magnet include:(a)large saturation and remnant inductions,B s and B r :a large saturation magnetization,M s ,and induction,B s ,are desirable in applications of both hard (and soft)magnetic materials;(b)large coercivities,H c :coercivity is a measure of the width of a hysteresis loop and a measure of the permanence of the magnetic moment;(c)high Curie temperature,T c :the ability to use soft magnetic materials at elevated tempera-tures is intimately dependent on the Curie tempera-ture or magnetic ordering temperature of the material.A large class of applications requires small hys-teresis losses per cycle.These are called soft mag-netic materials and their attributes include:(a)high permeability:permeability,mB a H 1 w ,is the material's parameter which describes the ¯ux density,B ,produced by a given applied ®eld,H .In high permeability materials we can produce very large changes in magnetic ¯ux density in very small ®elds;(b)low hysteresis loss:hysteresis loss rep-resents the energy consumed in cycling a material between ®elds H and ÀH and back again.The energy consumed in one cycle is W HM d B or the area inside the hysteresis loop.The hysteretic power loss of an a.c.device includes a term equal to the frequency multiplied by the hysteretic loss per cycle;(c)large saturation and remnant magneti-zations;(d)high Curie temperatures.The magnetization curve [Fig.1(a)]illustrates the technical magnetic properties of a ferromagnetic material.Its shape is determined by minimizing the material's magnetic free energy.The magnetic free energy consists of terms associated with the®eldFig.1.(a)Schematic of a hysteresis curve for a magnetic material de®ning some technical magnetic par-ameters and (b)rotation of atomic magnetic dipole moments in a 1808(Bloch)domain wall in a ferro-magnetic material.224McHENRY and LAUGHLIN:NANO-SCALE MATERIALS DEVELOPMENTenergy(Zeeman energy),self-®eld(demagnetization energy),wall energy,and magnetic anisotropy energy.The magnetic Helmholtz free energy[13] can be determined by integrating a magnetic energy density as follows:F M 4A rr MM s!2ÀK1 rMÁnM s!2Àm0MÁH5d r1where A(r)is the local exchange sti ness related to the exchange energy,J and spin dipole moment,S A CJS2a a at0K,with C H1depending on crys-tal structure and a is the interatomic spacing),K1(r) is the(leading term)local magnetic anisotropy energy density,M is the magnetization vector,n is a unit vector parallel to the easy direction of mag-netization,and H is the sum of the applied®eld and demagnetization®eld vectors.The magnetic anisotropy energy describes the angular dependence of the magnetic energy,i.e.its dependence on angles y and f between the magnetization and an easy axis of magnetization.For the case of a uniaxial material the leading term in the anisotropy energy density has a simple K1sin2y form.The anisotropy energy can be further subdivided into magnetocrys-talline,shape and stress anisotropies,etc.For the purposes of the discussions here,however,we will devote most of our attention to the magnetocrystal-line anisotropy.The magnetic anisotropy represents a barrier to switching the magnetization.For soft magnetic ma-terials,a small magnetic anisotropy is desired so as to minimize the hysteretic losses and maximize the permeability.In soft materials,the desire for small magnetocrystalline anisotropy necessitates the choice of cubic crystalline phases of Fe,Co,Ni or alloys such as FeCo,FeNi,etc.(with small values of K1).In crystalline alloys,such as permalloy or FeCo,the alloy chemistry is varied so that the®rst-order magnetocrystalline anisotropy energy density, K1,is minimized.Similarly,stress anisotropy is reduced in alloys with nearly zero magnetostriction. Shape anisotropy results from demagnetization e ects and is minimized by producing materials with magnetic grains with large aspect ratios. Amorphous alloys are a special class of soft ma-terials where(in some notable cases)low magnetic anisotropies result from the lack of crystalline periodicity.For hard magnetic materials a large magnetic anisotropy is desirable.As discussed below,large magnetocrystalline anisotropy results from an ani-sotropic(preferably uniaxial)crystal structure,and large spin orbit rge magnetocrystal-line anisotropy is seen,for example in h.c.p.cobalt, in CoPt where spin±orbit coupling to the relativistic Pt electrons invokes large anisotropies,and impor-tantly in the rare earth permanent magnet ma-terials.In future discussions we will®nd it useful to describe several length scales that are associated with magnetic domains and domain walls[Fig. 1(b)].These are expressed through consideration of domain wall energetics.The energy per unit area in the wall can be expressed as a sum of exchange and anisotropy energy terms:g W g ex g K 2 where the anisotropy energy per unit volume,K,is multiplied by volume contained in a domain wall, A W d W,and divided by cross-sectional area to arrive at an anisotropy energy per unit area:g K KA W d WA WK d W K Na 3where d W Na(a is the lattice constant in the direction of rotation and N is the number of planes over which the rotation takes place)is the thickness of the wall.Thus g W can be expressed asg Wp2J ex S2Na2K1 Na 4where the®rst term considers the cost in exchange energy in rotating magnetic dipole moments in a 1808domain wall as illustrated in Fig.1(b).To determine the optimal wall thickness we di eren-tiate g W with respect to d W yielding:N eqp2J ex S2K1a3sX 5For Fe,N eq H300and the equilibrium thickness, t eq N eq a H50nm X Expressed in terms of the exchange sti ness,A ex,and the domain wall width, d W pA ex a K1pXAnother important length scale is the distance over which the perturbation due to the switching of a single spin decays in a soft material.This length is called the ferromagnetic exchange length,L ex, and can be expressed asL exA ex2ssX 6The ferromagnetic exchange length is H3nm for ferromagnetic iron-or cobalt-based alloys.The ratio of the exchange length to d W/p is a dimension-less parameter,k,called the magnetic hardness par-ameter:kp L exd WK1m0M2ssX 7For hard magnetic materials k is on the order of unity and thus there is little di erence between theMcHENRY and LAUGHLIN:NANO-SCALE MATERIALS DEVELOPMENT225ferromagnetic exchange length and the domain wall width.On the other hand,for good soft magnetic materials,where K 1approaches zero,k can deviate substantially from unity.Structure sensitive magnetic properties may depend on defect concentration (point,line and pla-nar defects),atomic order,impurities,second phases,thermal history,etc.In multi-domain ma-terials,the domain wall energy density ,g 4 AK 1 1a 2g x ,is spatially varying as a result of local variations in properties due to chemical variation,defects,etc.A domain wall will prefer to locate itself in regions where the magnetic order parameter is suppressed,i.e.pinning sites .Since changes in induction in high-permeability materials occur by domain wall motion,it is desirable to limit variation of g (x )(pinning).This is one of the key design issues in developing soft magnetic materials,i.e.that of process control of the microstructure so as to optimize the soft magnetic properties.In hard materials development of two-phase microstructures with pinning phases is desirable.For ®ne particle magnets the possibility of ther-mally activated switching and consequent reduction of the coercivity as a function of temperature must be considered as a consequence of a superparamag-netic response.This is an important limitation in magnetic recording.Superparamagnetism refers to the thermally activated switching of the magnetiza-tion over rotational energy barriers (provided by magnetic anisotropy).Thermally activated switching is described by an Arrhenius law where the acti-vation energy barrier is K u h V i (h V i is the switching volume).The switching frequency becomes larger for smaller particle size,smaller anisotropy energydensity and at higher temperatures.Above a block-ing temperature,T B ,the switching time is less than the experimental time and the magnetic hysteresis loop is observed to collapse,i.e.the coercive force becomes zero.Above T B ,the magnetization scales with ®eld and temperature in the same manner as does a classical paramagnetic material,with the exception that the inferred dipole moment is a par-ticle moment and not an atomic moment.Below the blocking temperature,hysteretic magnetic re-sponse is observed for which the coercivity has the temperature dependence:H c H c 041À TT B 1a 25X 8In the theory of superparamagnetism [14,15],the blocking temperature represents the temperature at which the metastable hysteretic response is lost for a particular experimental timeframe.In other words,below the blocking temperature hysteretic response is observed since thermal activation is not su cient to allow the immediate alignment of par-ticle moments with the applied ®eld.For stability of information over H 10years,the blocking tempera-ture should roughly satisfy the relationship:T B K u h V i a 40k B X The factor of 40[16,17]represents ln o 0a o ,where o is the inverse of the 10year stab-ility time (H 10À4Hz)and o 0an attempt frequency for switching (H 1GHz).3.SOFT MAGNETIC MATERIALSApproaches to improving intrinsic and extrinsic soft ferromagnetic properties involve (a)tailoringFig.2.(a)Herzer diagram [18]illustrating dependence of the coercivity,H c ,with grain size in magnetic alloys and (b)relationship between permeability,m e (at 1kHz)and saturation polarization for soft mag-netic materials [19].226McHENRY and LAUGHLIN:NANO-SCALE MATERIALS DEVELOPMENTchemistry and (b)optimizing the microstructure.Signi®cant in microstructural control has been rec-ognition that a measure of the magnetic hardness (the coercivity,H c )is roughly inversely proportional to the grain size (D g )for grain sizes exceeding H 0.1±1m m [where the D g exceeds the domain (Bloch)wall thickness,d W ].Here grain boundaries act as impediments to domain wall motion,and thus ®ne-grained materials are usually magnetically harder than large grain materials.Signi®cant recent development in the understanding of magnetic coer-civity mechanisms has led to the realization that for very small grain sizes D g `H 100nm ,[18],H c decreases rapidly with decreasing grain size [Fig.2(a)].This can be understood by the fact that the domain wall,whose thickness,d W ,exceeds the grain size,now samples several (or many)grains and ¯uc-tuations in magnetic anisotropy on the grain size length scale which are irrelevant to domain wall pinning.This important concept of random aniso-tropy suggests that nanocrystalline and amorphous alloys have signi®cant potential as soft magnetic materials.Soft magnetic properties require that nanocrystalline grains be exchange coupled and therefore processing routes yielding free standing nanoparticles must include a compaction method in which the magnetic nanoparticles end up exchange coupled.Random anisotropy [20,21]has been realized in a variety of amorphous and nanocrystalline ferro-magnets as illustrated in Fig.2(b)which shows two important ®gures of merit for soft magnetic ma-terials their magnetic permeability and their bined high permeabilities and magnetic inductions are seen for amorphous Fe-and Co-based magnets with more recent improvements in the envelope occurring with the development of nanocrystalline alloys FINEMET,NANOPERM and HITPERM.The last of these combines high permeabilities,large inductions with the potential for high temperature application due to the high Curie temperature of the a '-FeCo nanocrystalline phase.Typical attributes of nanocrystalline ferro-magnetic materials produced by an amorphous pre-cursor route are summarized in Table 1[22].The basis for the random anisotropy model is il-lustrated in Fig.3(a).The concept of a magnetic exchange length and its relationship to the domain wall width and monodomain size is important in the consideration of magnetic anisotropy in nano-crystalline soft magnetic materials.These length scales are de®ned by appealing to a Helmholtz free energy functional described above.These length scales again are:d W p A a K p and L ex A a 4p M 2s p X The extension of the random ani-sotropy model by Herzer [18]to nanocrystalline alloys has been used as the premise for describing e ective anisotropies in nanocrystalline materials.Herzer considers a characteristic volume whose lin-ear dimension is the magnetic exchange length,L ex H A a K 1a 2X The unstated constant of propor-tionality (k )for materials with very small K can beTable 1.Attributes of nanocrystalline ferromagnetic materials produced by an amorphous precursor routeAlloy name Typical composition Nanocrystalline phase B s (T)T c (8C)FINEMET Fe 73.5Si 13.5B 9Nb 3Cu 1a -FeSi,FeSi (DO 3)1.0±1.2<770NANOPERM Fe 88Zr 7B 4Cu a -Fe (b.c.c.)1.5±1.8770HITPERMFe 44Co 44Zr 7B 4Cua -FeCo (b.c.c.),a '-FeCo (B2)1.6±2.1>965Fig.3.(a)Cartoon illustrating N nanocrystalline grains of dimension D ,in a volume L 3ex X (b)TEMmicrographs for an annealed (Fe 70Co 30)88Hf 7B 4Cu HITPERM magnet ribbons [23].McHENRY and LAUGHLIN:NANO-SCALE MATERIALS DEVELOPMENT227quite large.The Herzer argument considers N grains,with random crystallographic easy axes,within a volume of L 3ex ,to be exchange coupled.For random easy axes,a random walk over all N grains yields an e ective anisotropy that is reduced by a factor of 1/(N )1/2from the value K for any one grain,thus K eff K a N 1a 2X The number of grains in this exchange coupled volume is just N L ex a D 3,where D is the average diameter of individual grains.Treating the anisotropy self-con-sistently:K eff H KD 3a 2H K effA !3a 2HK 4D 6A 3!X 9Since the coercivity can be taken as proportional tothe e ective anisotropy,this analysis leads to yield Herzer's prediction that the e ective anisotropy and therefore the coercivity should grow as the sixth power of the grain size:H c H H K H D 6X10Other functional dependences of the coercivity on grain size have been proposed for systems with reduced dimensionality (i.e.thin ®lms)and sup-ported by experimental observations.The D 6power law is observed experimentally in a variety of alloys as illustrated in Fig.2(a).In FINEMET,NANOPERM and HITPERM nanocrystalline alloys,a common synthesis route has been employed resulting in a two-phase nano-crystalline microstructure.This involves rapid soli-di®cation processing of the alloy to produce an amorphous precursor.This is followed by primary (nano)crystallization of the ferromagnetic phase.For synthesis of a nanocrystalline material,the pri-mary crystallization temperature,T x1,is the usefulcrystallization event.In the amorphous precursor route to producing nanocrystalline materials,sec-ondary crystallization is typically of a terminal early transition metal±late transition metal (TL±TE)and/or late transition metal±metalloid (TL±M)phase.This phase is typically deleterious in that it lowers magnetic permeability by domain wall pin-ning.The secondary crystallization temperature,T x2,then represents the upper limit of use for nano-crystalline materials.A typical DTA study of crys-tallization [24,25]is shown in Fig.4(a).Crystallization reactions and kinetics have been examined in some detail for certain of these alloys.For example,Hsiao et al .[26]has examined the crystallization kinetics of a NANOPERM alloy using magnetization as the measure of the volume fraction transformed in the primary crystallization event.Time-dependent magnetization data,at tem-peratures above the crystallization temperature,are illustrated in Fig.4(b).Since the amorphous phase is paramagnetic at the crystallization temperature,the magnetization is a direct measure of the volume fraction of the a -Fe crystalline phase that has trans-formed.M (t )then measures the crystallization kin-etics.Figure 4(b)shows curves reminiscent of Johnson±Mehl±Avrami kinetics for a phase trans-formation.X (t )has been ®t to reveal activation energies of H 3.5eV and JMA kinetic exponents of H 3/2consistent with immediate nucleation and parabolic three-dimensional growth of nanocrystals.Detailed studies of NANOPERM and FINEMET [27,28]alloys have furthered the under-standing of the crystallization events.Ayers et al .[29±31]have proposed a model based on incipient clustering of Cu in FINEMET alloys prior to nucleation of the a -FeSi ferromagnetic nanocrystal-line phase.Hono et al .'s [32±34]atomic probe ®eld ion microscopy (APFIM)studies ofFINEMETFig.4.(a)Di erential thermal analysis (DTA)plot of heat evolved as a function of temperature for a Fe 44Co 44Zr 7B 4Cu 1alloy showing two distinct crystallization events [24,25].(b)Isothermal magnetiza-tion as a function of time (normalized by its value after 1h)for the NANOPERM compositionFe 88Zr 7B 4Cu at 490,500,520and 5508C,respectively [26].228McHENRY and LAUGHLIN:NANO-SCALE MATERIALS DEVELOPMENTalso supported the important role of Cu in the crys-tallization process,though it was thought that Fe±Si nanocrystals grew near but not necessarily on the Cu clusters [Fig.5(b)].Recent three-dimensional APFIM results by Hono et al .elegantly con®rm the original Ayers mechanism.Clear inferences from magnetic measurements,EXAFS,etc.point to the role of partitioning of early transition metals and boron during primary crystallization of NANOPERM and HITPERM alloys [Fig.5(a)].A signi®cant issue in the use of nanocrystalline materials in soft magnetic applications is the strength and especially the temperature dependence of the exchange coupling between the nanocrystal-line grains.The intergranular amorphous phase,left after primary crystallization in FINEMET and NANOPERM,has a lower Curie temperature than the nanocrystalline ferromagnetic phase.This can give rise to exchange decoupling of the nanocrystal-line grains,and resulting magnetic hardening,at relatively low temperatures.HITPERM has been developed with the aim of not only increasing the Curie temperature of the nanocrystals (in this case a '-FeCo)but also in the intragranular amorphous phase.Figure 6(a)shows observations of magnetization as a function of temperature [22,24,25]for two alloys,one of a NANOPERM composition,and the other of a HITPERM composition.The amor-phous precursor to NANOPERM has a T c just above room temperature.The magnetic phase tran-sition is followed by primary crystallization at T x 1H 5008C ;secondary crystallization and ®nally T c of the nanocrystalline a -Fe phase at H 7708C.M (T )for HITPERM,shows a monotonic magnetization decrease up to T c for the amorphous phase.Above 400±5008C structural relaxation and crystallization of the a '-FeCo phase occurs.T x1is well below the Curie temperature of the amorphous phase,so that the magnetization of the amorphous phase is only partially suppressed prior to crystallization.It is this Curie temperature of the amorphous intergra-nular phase that is important to the exchange coup-ling of the nanocrystals in HITPERM.The soft magnetic properties of nanocrystalline magnetic alloys extend to high frequencies due to the fact that the high resistivities of these alloys limit eddy current losses.Figure 7(b)illustrates the frequency dependence of the real and imaginary components of the complex permeability,m 'and m 0,for a HITPERM alloy.m 0re¯ects the power loss due to eddy currents and hysteresis.The losses,m 0(T ),peak at a frequency of H 20kHz.This is re¯ective of the higher resistivity in the nanocrystal-line materials.AC losses re¯ect domain wall in a viscous medium.The largerresistivityFig.5.(a)Schematic representation of the concentration pro®le of Fe and Zr near an a -Fe nanocrystal for during primary crystallization of NANOPERM type alloys [22].(b)Proposed sequence of events inthe nanocrystallization of FINEMET alloys (after Hono et al .[32±34]).Fig.6.(a)M (T )for an alloy with a NANOPERM com-position Fe 88Zr 7B 4Cu and an alloy with a HITPERMcomposition,Fe 44Co 44Zr 7B 4Cu [24,25].McHENRY and LAUGHLIN:NANO-SCALE MATERIALS DEVELOPMENT 229r 50mO cm at 300K)extends the large per-meability to higher frequencies where eddy currents (classical and those due to domain wall motion)dominate the losses.The resistivity of the nanocrys-talline materials is intermediate between the amor-phous precursor and crystalline materials of similar composition and is a signi®cant term in eddy cur-rent related damping of domain wall motion.4.HARD MAGNETIC MATERIALSOver the last few decades the most signi®cant advancements in permanent magnet materials has come in the area of so-called rare earth permanent magnets.These have a magnetic transition metal as the majority species and a rare earth metal as the minority species.The large size di erencebetweenFig.7.AC hysteresis loops for the HITPERM alloy at 0.06,4,10,and 40kHz.The sample was annealed at 6508C for 1h and the measurements were made at room temperature with a ®eld ampli-tude,H m 2X 5Oe [24,25].Fig.8.(a)Cartoon showing cellular structure [48]observed in many 2:17based magnets with cells con-taining the rhombohedral and hexagonal 2:17variants and 1:5intergranular phase;(b)crystal struc-tures of the same and (c)TEM picture (courtesy of J.Dooley)of cellular structure observed in 2:17-based magnet.230McHENRY and LAUGHLIN:NANO-SCALE MATERIALS DEVELOPMENTthe rare earth and transition metal species gives rise to the observation of many anisotropic crystal structures in these systems.In such systems the transition metal(TM)species is responsible for most of the magnetization and TM±TM exchange determines the Curie temperature.On the other hand the rare earth(RE)species determines the magnetocrystalline anisotropy.The anisotropic4f-electron charge densities about the rare earth ion gives rise to large orbital moment and consequently large spin orbit interactions that are at the root of magnetocrystalline anisotropy.The development of large coercivities from materials with large(uniax-ial)magnetic anisotropies involves microstructural development aimed at supplying barriers to the ro-tation of the magnetization and pinning of domain walls.Systems based on Sm±Co[35±38]and Fe±Nd±B[39,40]have been of considerable recent interest.Of the two important classes of rare earth tran-sition metal permanent magnets,i.e.Sm±Co based and Nd2Fe14B alloys[39,40],Sm±Co alloys have much larger Curie temperatures,increasing in com-pounds with larger Co concentrations(e.g.the3:29 phase).The so-called1:5,1:7,and2:17alloys and newly discovered3:29materials[41,42],have received attention,where the ratios refer to the RE:TM concentrations.High Curie temperature, T c,interstitially doped(C,N),2:17magnets have also been studied extensively[43±47].The develop-ment of the Fe±Nd±B magnets has been motivated by the lower cost of Fe as compared with Co and Nd as compared with Sm.These magnets do,how-ever,su er from poorer high temperature magnetic properties due to their lower Curie temperatures. The Sm2Co17phase when compared with SmCo5 o ers larger inductions and Curie temperatures at the expense of some magnetic anisotropy.The2:17 materials have favorable and to date unmatched intrinsic properties:B r 1X2T(258C),intrinsic coer-civity i H c 1X2T(258C)and T c 9208C(e.g.in comparison to7508C for SmCo5).The higher three-dimensional metal content(Co)leads to their high values of T c.The2:17magnets currently in com-mercial production have a composition Sm(CoFeCuM)7.5.Additions of Fe are made to increase the remnant induction;Cu and M Zr, Hf,or Ti)additions are made to in¯uence precipi-tation hardening.Optimum hard magnetic proper-ties,notably coercivities are achieved in magnets in which the primary magnetic phase has a50±100nm grain size(approaching the monodomain size)as described below.Typical2:17Sm±Co magnets with large values of H c are obtained through a low temperature heat treatment used to develop a cellular microstructure (see Fig.8).Small cells of the2:17matrix phase are separated(and usually completely surrounded)by a thin layer of the1:5phase as illustrated in Fig.8. The cell interior contains both a heavily twinned rhombohedral modi®cation of the2:17phase along with coherent platelets of the so-called z-phase[48] is rich in Fe and M and has the hexagonal2:17 structure.Typical microstructures have a50±100nm cellular structure,with5±20nm thick cell walls, and display i H c of1.0±1.5T at room temperature. By1508C H c is diminished by H50%.The loss of H c undoubtedly continues with temperature.In the cellular microstructure shown in Fig.8the magnetic anisotropy of the1:5cell boundary phase is important in determining the coercivity. Coercivity at room temperature in2:17Sm±Co magnets is largely controlled by the magnetocrystal-line anisotropy of Sm3+ions in SmCo5in the cell walls.In a100nm cellular material the room tem-perature coercivity is twice that of conventional 2:17alloys.In Co-rich alloys(2:17,3:29,etc.)devel-opment of su cient magnetic anisotropy for hard applications is intimately related to having a prefer-ential easy c-axis and developing a®ne microstruc-ture.Optimization of the Sm(CoFeCuZr)z magnets dis-cussed above have been the subject of much recent work.In particular,improvement of properties at elevated temperatures for aircraft power generators has been of particular interest[49±52].Ma et al.[49]investigated the e ects of intrinsic coercivity on the thermal stability of2:17magnets up to 4508C.Recently,Liu et al.[52]have investigated the role of Cu content and stoichiometry,z,on the intrinsic coercivity at5008C in Sm(CoFeCuZr)z magnets.For magnets with z 8X5,i.e. Sm(Co bal Fe0.1Cu x Zr0.033)8.5,the optimum coercivity (4.0T at room temperature,1.0T at5008C)occurs for a Cu concentration x 0X088X The role of Cu has been elucidated through microstructural studies as decreasing the cell size while concurrently increasing the density of the lamellar z-phase in these alloys.The development of Sm±Co magnets,especially those with good high temperature magnetic proper-ties has resulted in extensive work on a so-called 1:7phase with a TbCu7structure[53].SmCo7is a metastable phase at room temperature.The struc-tures of SmCo7and Sm2Co17are both derived from the structure of SmCo5.The structure of Sm2Co17 can be viewed as one in which1/3of the Sm atoms in the SmCo5are replaced by dumbbells of Co in an ordered fashion.Kim[54,55]have studied the intrinsic coercivity of SmTM7magnets and attribu-ted higher coercivities at5008C to smaller cell sizes. Recent work[54±57]on SmCo7Àx Zr x magnets has been extended to alloys with composition RCo7Àx Zr x x 0±0X8,R Pr,Y or Er).A small amount of Zr substitution contributes to stabiliz-ation of the TbCu7structure,and improves the magneto-anisotropy®eld,H A.The choice and con-centration of various rare earth species in¯uences the easy axis of magnetization.Most recently there has been considerable interestMcHENRY and LAUGHLIN:NANO-SCALE MATERIALS DEVELOPMENT231。
2020 五月17日雅思作文The COVID-19 pandemic has brought about numerous challenges and disruptions to our lives, and one of the most significant impacts has been on the global economy. As countries around the world implement lockdowns and social distancing measures to contain the spread of the virus, businesses have been forced to close, supply chains have been disrupted, and millions of people have lost their jobs. This has led to a sharp economic downturn, with many experts predicting a global recession. In this essay, we will explore the various aspects of the economic impact of the COVID-19 pandemic, including the challenges faced by businesses, the effects on employment, and the potential long-term consequences.One of the most immediate and pressing challenges for businesses during the COVID-19 pandemic is the sudden and drastic drop in consumer demand. With people staying at home and avoiding non-essential activities, many industries such as retail, hospitality, and entertainment have seen a significant decline in sales. This has put immense pressure on businesses to adapt to the new reality, with many struggling to stay afloat. Small businesses, in particular, are facing an existential threat, as they often lack the financial reserves to weather prolonged periods of reduced revenue. Governments around the world have implemented various measures to support businesses, such as providing loans, grants, and wage subsidies. However, the effectiveness of these measures remains to be seen, and many businesses are still at risk of permanent closure.Another major consequence of the economic downturn is the unprecedented levels of unemployment. As businesses are forced to downsize or shut down, millions of people have lost their jobs, leading to a surge in unemployment rates. This has not only caused financial hardship for individuals and families but has also had a ripple effect on the overall economy. High levels of unemployment lead to reduced consumer spending, which in turn further exacerbates the challenges faced by businesses. Moreover, the psychological impact of job loss should not be underestimated, as it can lead to feelings of anxiety, depression, and a loss of purpose.In addition to the immediate challenges, the COVID-19 pandemic is also likely to have long-term consequences for the global economy. One of the most significant potential impacts is the restructuring of supply chains. The pandemic has exposed the vulnerabilities of global supply chains, with many countries experiencing shortages of essential goods and medical supplies. This has led to calls for a reevaluation of the current system, with some experts advocating for a shift towards more localized and resilient supply chains. This could have far-reaching implications for trade, manufacturing, and international relations.Furthermore, the pandemic is likely to accelerate existing trends towards digitalization and automation. With social distancing measures in place, many businesses have had to rapidly adopt digital technologies to continue operations. This has led to an increased reliance on e-commerce, remote working, and digital communication. While this shift presents opportunities for innovation and efficiency, it also raises concerns about job displacement and the potential exacerbation of inequality. As certain industries become increasingly automated, there is a risk that low-skilled workers will be left behind, leading to greater income inequality and social unrest.In conclusion, the economic impact of the COVID-19 pandemic is multifaceted and far-reaching, with challenges for businesses, individuals, and the global economy as a whole. While governments and organizations are implementing various measures to mitigate the effects, the full extent of the long-term consequences remains to be seen. As we navigate through these uncertain times, it is crucial to recognize the human cost of the economic downturn and work towards building a more resilient and inclusive economy for the future.。
冥想对社会的好处英语作文Meditation is a practice that has been around for centuries, but it is only in recent years that it has gained popularity in the Western world. This ancient technique has been proven to have numerous benefits for both the mind and body, and it is becoming increasingly recognized as a valuable tool for improving mental health and well-being.One of the most significant benefits of meditation is its ability to reduce stress and anxiety. In today's fast-paced world, stress has become a common problem thataffects millions of people. Meditation has been shown to lower levels of the stress hormone cortisol, which can help to reduce feelings of anxiety and promote a sense of calm and relaxation.Another benefit of meditation is its ability to improve focus and concentration. By practicing mindfulness, individuals can learn to focus their attention on thepresent moment and become more aware of their thoughts and emotions. This can help to improve cognitive function and enhance mental clarity, making it easier to stay focused and productive throughout the day.In addition to these benefits, meditation has also been shown to have positive effects on physical health. Research has found that regular meditation can lower blood pressure, reduce symptoms of chronic pain, and improve sleep quality. These benefits can lead to improved overall health andwell-being, which can have a positive impact on society as a whole.Furthermore, meditation can also improve social relationships. By promoting feelings of empathy and compassion, meditation can help individuals to connect with others on a deeper level. This can lead to improved communication, better conflict resolution, and stronger relationships with friends, family, and colleagues.In conclusion, meditation has numerous benefits for both individuals and society as a whole. By reducing stressand anxiety, improving focus and concentration, and promoting physical health and social relationships, meditation can help to create a happier, healthier, and more harmonious world. As such, it is important for individuals to incorporate meditation into their daily lives and for society to recognize its value as a tool for promoting mental and physical well-being.。
化合物的分子结构英文The molecular structure of a compound refers to the arrangement of atoms within the compound and the bonds that hold them together. Understanding the molecular structure of a compound is crucial for comprehending its physical and chemical properties, as well as its interactions with other compounds.The basic building blocks of matter are atoms, which are composed of protons, neutrons, and electrons. Atoms can combine with each other to form molecules through the formation of chemical bonds. There are several types of chemical bonds, including covalent bonds, ionic bonds, and metallic bonds. The type of bond formed depends on the type of atoms involved and the nature of the interaction between them.Covalent bonds are formed when atoms share electrons, resulting in the formation of a shared electron pair. This type of bond is typically found in non-metallic elementsand in compounds such as water (H2O) and methane (CH4). Ionic bonds are formed when one atom gains an electron from another atom, resulting in the formation of positively and negatively charged ions. This type of bond is typically found in metals and non-metals, and in compounds such as sodium chloride (NaCl) and calcium oxide (CaO). Metallic bonds are formed when free electrons are delocalized throughout a lattice of metal atoms, resulting in a conductive material.The arrangement of atoms within a compound is referred to as its molecular geometry. Molecular geometry is determined by the number and type of bonds formed between atoms, as well as the presence of any lone pairs of electrons. The shape of a molecule can have a significant impact on its physical and chemical properties, including its polarity, solubility, and reactivity.For example, the molecular geometry of water (H2O) is tetrahedral, with two hydrogen atoms bonded to a central oxygen atom. The resulting shape is polar due to the unequal distribution of charge within the molecule, withthe oxygen atom bearing a partial negative charge and the hydrogen atoms bearing partial positive charges. This polarity allows water to engage in hydrogen bonding, a type of intermolecular interaction that is crucial for its unique physical properties such as high boiling point and ability to dissolve many substances.In addition to covalent bonds and molecular geometry, intermolecular interactions also play a role in determining the physical properties of compounds. Intermolecular interactions occur between molecules and are responsiblefor the cohesion and bulk properties of substances. Types of intermolecular interactions include hydrogen bonding, dipole-dipole interactions, ion-dipole interactions, and dispersion forces.Hydrogen bonding is a particularly strong type of intermolecular interaction that occurs when a hydrogen atom is covalently bonded to a strongly electronegative atom such as nitrogen, oxygen, or fluorine. Hydrogen bonding is responsible for the high boiling points and melting points of compounds like water and ammonia. Dipole-dipoleinteractions occur between molecules that have permanent dipole moments due to the unequal distribution of charge within the molecules. These interactions are weaker than hydrogen bonding but stronger than dispersion forces and are responsible for the cohesion of polar molecules.Ion-dipole interactions occur between ions and polar molecules. The positively charged ion attracts the partial negative charge on the polar molecule, while the negatively charged ion attracts the partial positive charge. These interactions are weaker than ionic bonds but stronger than dipole-dipole interactions.Dispersion forces, also known as London forces, are the weakest type of intermolecular interaction. They occur between all molecules, regardless of their polarity or charge, and are caused by the temporary fluctuations in electron distribution within molecules. Dispersion forces are weakest at short distances but increase rapidly with increasing distance between molecules.In summary, the molecular structure of a compound isdetermined by the type and arrangement of atoms within the compound, as well as the types of chemical bonds and intermolecular interactions that hold them together. Understanding the molecular structure of a compound is essential for comprehending its physical and chemical properties and for predicting how it will interact with other compounds.。
普鲁斯特效应英语作文The Proust Effect: A Journey through Time and Memory。
Introduction。
The Proust Effect, also known as the "Proust phenomenon," refers to the sudden and vivid recollection of past memories triggered by a sensory stimulus. This phenomenon takes its name from the renowned French writer Marcel Proust, whose novel "In Search of Lost Time" explores the intricate relationship between memory, time, and sensory experiences. In this essay, we will delve into the Proust Effect, its significance, and the ways in which it can be applied in our daily lives.The Proust Effect: A Dive into the Past。
The Proust Effect is a powerful mechanism that allows individuals to access forgotten memories by engaging their senses. It demonstrates the profound impact sensory stimulihave on our memory recall. For instance, the smell of freshly baked bread may transport someone back to their childhood kitchen, evoking a cascade of memories associated with that particular moment in time. This phenomenon suggests that our sensory experiences are deeplyintertwined with our memories, acting as a portal to our past.The Role of Memory in Shaping Our Identity。
灵光乍现的时刻的英语作文Eureka: The Enigmatic Essence of Epiphany.In the labyrinthine realm of cognition, moments of profound insight emerge as beacons of brilliance, illuminating the shadowed recesses of our minds. These fleeting experiences, commonly referred to as "eureka moments," are characterized by a sudden surge of comprehension, a lightning bolt of understanding that pierces the veil of obscurity.The genesis of such epiphanies remains an enigma, eluding the rigid confines of scientific explanation. Some scholars posit that they originate in the subconscious, where ideas gestate and coalesce, bubbling to the surface in moments of serendipitous revelation. Others contend that they are the byproduct of intense concentration, a state of heightened focus that allows for the novel intertwining of disparate thoughts.Regardless of their etiology, eureka moments possess an undeniable allure, beckoning us to unravel their secrets and harness their transformative potential. Throughout history, countless scientific breakthroughs, artistic masterpieces, and philosophical insights have been attributed to these fleeting glimpses of clarity.Archimedes, while immersed in the tranquility of his bath, experienced a profound eureka moment that led to the discovery of buoyancy. As he witnessed the water level rise with his submerged body, a realization dawned upon him: the upward force exerted by the liquid was equal to the weight of the water displaced. This principle, known as Archimedes' principle, revolutionized the field of hydrostatics and continues to find practical applications in shipbuilding and fluid dynamics.Similarly, the transformative power of eureka moments has left an enduring mark on the canvas of artistic creation. Leonardo da Vinci's enigmatic Mona Lisa is believed to have been inspired by a sudden flash of inspiration, leading him to capture the elusive smile thathas captivated generations. The vibrant colors and dynamic compositions of Vincent van Gogh's post-impressionist masterpieces are often attributed to his intense periods of focus and spontaneous bursts of creativity.In the realm of philosophy, eureka moments have shaped the very foundations of human thought. Socrates, the enigmatic Athenian sage, attributed his wisdom to a "daimon," or inner voice, that guided him towards profound insights. Plato's theory of Forms, a cornerstone of Western philosophy, is believed to have originated in a moment of intense contemplation, during which he apprehended the existence of immutable ideals beyond the realm of physical perception.The transformative potential of eureka moments extends far beyond the confines of scientific laboratories, art studios, and philosophical debates. In the tapestry of our daily lives, these moments of clarity can guide us towards personal growth, problem-solving, and a deeper understanding of ourselves and the world around us.When faced with a perplexing challenge, a suddeninsight can provide the elusive key that unlocks the solution. In relationships, a eureka moment can foster reconciliation and strengthen bonds. A burst of inspiration can ignite a new passion, leading to a fulfilling path.However, eureka moments are not merely bestowed uponthe fortunate few. They are the culmination of a concerted effort, a willingness to embrace curiosity, engage in deep contemplation, and persevere in the pursuit of knowledge.By fostering an environment conducive to creativity and innovation, we increase the likelihood of experiencingthese transformative moments.Seeking out solitude, immersing ourselves instimulating environments, and engaging in focusedactivities can enhance the probability of eureka moments. A walk in nature, a visit to a museum, or a thought-provoking conversation can spark that spark of insight.It is important to embrace the unpredictable nature of eureka moments. They often appear when we least expect them,amidst the mundane routines of daily life. By being receptive to these moments of inspiration, we open ourselves up to the transformative power of epiphany.The enigma of eureka moments continues to captivate our imagination, inspiring countless works of art, literature, and scientific exploration. Whether it be the sudden flash of understanding that illuminated Archimedes' bath or the profound contemplation that shaped Plato's philosophy, these fleeting moments of clarity have played a pivotalrole in shaping the course of human history. By harnessing the transformative potential of eureka moments, we unlock the doors to innovation, creativity, and a deeper understanding of the world around us.。
效应英文作文素材1. The impact of technology on daily life is undeniable. From the moment we wake up to the time we go to bed, we are surrounded by various gadgets and devices that have become an integral part of our existence.2. Social media has revolutionized the way we communicate and interact with others. It has made the world a smaller place, allowing us to connect with people from different corners of the globe and share our thoughts and experiences instantly.3. The constant exposure to screens and digital information has also affected our attention span andability to focus. Many people find it challenging to concentrate on a single task for an extended period, asthey are constantly bombarded with notifications and updates.4. On the positive side, technology has made manyaspects of life more convenient and efficient. From online shopping to digital banking, we now have access to a wide range of services at our fingertips, saving us time and effort.5. However, the reliance on technology has also raised concerns about privacy and security. With the increasing amount of personal data being shared online, there is a growing risk of identity theft and cyber attacks.6. The sedentary lifestyle that often comes with the use of technology has contributed to a rise in health problems such as obesity and poor posture. Many people spend long hours sitting in front of a screen, leading to physical and mental health issues.7. Despite these challenges, it is clear that technology will continue to play a significant role in shaping our lives. It is up to us to find a balance and use it in a way that enhances our well-being and enriches our experiences.。
用科学家视角来观察生活现象作文英文回答:As a scientist, I often find myself observing various phenomena in everyday life. One interesting phenomenon that I have observed is the effect of music on human emotions. Music has the power to evoke strong emotions in people, whether it be joy, sadness, or even nostalgia. For example, when I listen to a lively and upbeat song, I feel a surge of happiness and energy coursing through me. On the other hand, when I listen to a melancholic melody, I can't help but feel a sense of sadness and reflection. This phenomenon can be explained by the way music stimulates the brain and triggers the release of certain neurotransmitters that are responsible for our emotions.Another phenomenon that I have observed is the impact of social media on human behavior. Social media platforms such as Facebook, Instagram, and Twitter have become an integral part of our daily lives. They allow us to connectwith others, share our thoughts and experiences, and even influence public opinion. However, I have noticed that excessive use of social media can lead to negative effects on mental health, such as feelings of loneliness, anxiety, and low self-esteem. This can be attributed to the constant comparison with others and the pressure to present aperfect image of oneself online. It is important for individuals to be mindful of their social media usage and find a balance between the virtual world and the real world.中文回答:作为一名科学家,我经常观察到日常生活中的各种现象。
探得一片新天地作文指导英文回答:Exploring a New World.As I set foot in this uncharted territory, a sense of excitement and wonder fills my heart. The vast expanse of untouched land stretches out before me, inviting me to embark on a journey of discovery. This new world holds endless possibilities and I am eager to explore every nook and cranny.The first thing that catches my attention is the breathtaking beauty of the landscape. Rolling hills,crystal-clear lakes, and dense forests create a picturesque scenery that is unlike anything I have ever seen before. The air is fresh and invigorating, and the silence is only interrupted by the sounds of nature. It is a serene and tranquil environment that instantly puts my mind at ease.As I venture further into this new world, I come across a diverse range of flora and fauna. Colorful flowers bloom in abundance, their vibrant petals adding a splash of color to the surroundings. Majestic trees tower above me, their branches reaching towards the sky. Birds of all shapes and sizes soar through the air, their melodic songs filling the atmosphere. The wildlife here is truly remarkable and it is a privilege to witness it up close.Exploring this new world also means encountering new cultures and civilizations. As I interact with the local inhabitants, I am fascinated by their customs, traditions, and way of life. Their warmth and hospitality make me feel welcome and I am eager to learn more about their history and heritage. Through these interactions, I gain a deeper understanding and appreciation for the diversity thatexists in our world.The challenges that come with exploring a new world are not to be underestimated. Navigating through uncharted territory requires resilience, adaptability, and a sense of adventure. There are obstacles to overcome and unknowndangers to face. However, it is through these challengesthat we grow and learn. Each step forward is a triumph, and each discovery is a reward.中文回答:探得一片新天地。
被光照亮的地方作文英语Title: The Place Illuminated by Light。
In the ethereal realms where light dances with shadows, there exists a place that embodies the very essence of illumination. It is not merely a physical location but a state of being, a sanctuary for souls seeking enlightenment amidst the darkness of the world. This sacred haven, bathed in the warm embrace of light, beckons to all who yearn for clarity and understanding.As one ventures into this luminous sanctuary, a profound sense of peace envelops the spirit. The air hums with the gentle melody of enlightenment, and every breath draws in the essence of wisdom. Here, the boundaries between the physical and the metaphysical blur, and time seems to stand still in reverence to the eternal radiance that permeates every corner.In this place illuminated by light, knowledge reignssupreme. The walls are adorned with ancient scrolls and celestial manuscripts, each containing the secrets of the universe waiting to be unveiled. Scholars and seekers alike gather in quiet contemplation, their minds alight with the fervor of discovery. Here, ignorance is but a fleeting shadow, vanquished by the brilliance of truth.But it is not only the mind that finds solace in this sanctuary; the heart, too, finds its home amidst the glow of enlightenment. Love and compassion flow freely, weaving a tapestry of unity and understanding. Strangers become kindred spirits, bound by the common pursuit of enlightenment and the shared experience of basking in the radiance of the divine.In the center of this sacred space stands an altar, bathed in the soft glow of a thousand candles. It is here that seekers come to offer their prayers and intentions, casting their hopes and dreams into the eternal flame of illumination. For in this place, the light is not merely a source of illumination but a beacon of hope, guiding the wayward soul towards its true purpose.As day fades into night and the stars twinkle overhead, the sanctuary takes on a new, mystical aura. The light that once emanated from the sun now emanates from within, casting a soft, ethereal glow upon all who dwell within its embrace. It is a reminder that true enlightenment comes not from without, but from within – a flame that burns eternal in the depths of the soul.In the quiet stillness of the night, as the world slumbers and dreams take flight, the sanctuary stands as a testament to the power of light. For in this place illuminated by light, all who seek shall find, and all who believe shall be transformed. It is a sanctuary for the spirit, a refuge for the weary, and a beacon of hope forall who dare to dream.。
天边与身边英语作文分论点Beyond the Horizon and Close at Hand: Exploring the Dichotomy of Human Perspectives.In the tapestry of human experience, our perspectives occupy a pivotal position, shaping the way we perceive, interpret, and interact with the world around us. These perspectives are often influenced by a dichotomy: the vastness of the horizon and the immediacy of our surroundings. By examining the interplay between these two perspectives, we can gain a deeper understanding of ourselves, our place in the universe, and the choices we make.The horizon, stretching infinitely before us, represents the boundless possibilities and aspirations that lie beyond our current grasp. It beckons us to dream, to venture into the unknown, and to pursue our ambitions with unwavering determination. The allure of the horizon lies in its promise of something greater, something that transcendsthe limitations of our present reality. It inspires us to push the boundaries of our knowledge, to explore the depths of our potential, and to strive for a future that is filled with meaning and purpose.However, as we gaze upon the horizon, it is equally important to acknowledge the significance of our immediate surroundings. The things that are close at hand, the people we love, the experiences we share, and the world we inhabit on a daily basis, all contribute to our sense of identity and well-being. These身近なもの, while not as captivating as the distant horizon, form the foundation upon which we build our lives and relationships. They provide us with stability, comfort, and a sense of belonging.The challenge lies in finding a balance between these two perspectives. While it is crucial to dream big and strive for greatness, it is equally important to appreciate and nurture the things that are close at hand. Neglecting either aspect can lead to an imbalance in our lives. If we become too fixated on the horizon, we may lose sight of the simple joys and blessings that are right before us.Conversely, if we become too consumed by our immediate surroundings, we may become complacent and miss out on the opportunities for growth and fulfillment that lie beyond our comfort zone.The key is to cultivate a dual perspective that allows us to appreciate both the vastness of the horizon and the beauty of our immediate surroundings. By embracing this duality, we can live more fulfilling and balanced lives. We can set ambitious goals and work towards them with unwavering determination, while also savoring the present moment and cherishing the people and experiences that make our lives meaningful.In moments of reflection, we may find ourselves drawn to the horizon, contemplating the grand scheme of things and our place within it. We may wonder about the mysteries of the universe, the interconnectedness of all life, and the legacy we will leave behind. These contemplations can inspire us to live with greater purpose and intention, to make choices that align with our values, and to contribute something positive to the world.However, it is equally important to bring our attention back to the things that are close at hand. The people we love, the work we do, the hobbies we enjoy, and the simple pleasures of life all contribute to our overall happiness and well-being. By being present in the moment and appreciating the things that are right before us, we create a sense of contentment and gratitude that can sustain us on our journey towards the horizon.The interplay between the horizon and our surroundings is a constant dance, a delicate balance that we must strive to maintain. As we navigate the complexities of life, let us remember to look both towards the horizon and close at hand. Let us dream big, but also appreciate the beauty of the present moment. Let us seek adventure and fulfillment, but also cherish the people and experiences that make our lives rich and meaningful. By embracing this duality, we can live lives that are both expansive and grounded, filled with purpose, joy, and a deep appreciation for the wonders that surround us.。
海能使人平静英语作文Title: The Calming Power of the Sea。
The sea possesses a unique ability to bring tranquility to the human spirit. Its vast expanse, rhythmic waves, and timeless presence have a soothing effect on individuals, offering respite from the stresses and anxieties of daily life.Firstly, the visual spectacle of the sea instills a sense of calmness. The sight of endless water stretching to the horizon can evoke feelings of awe and wonder, putting the mind at ease and allowing one to momentarily escape from the hustle and bustle of the world. The gentle movement of the waves creates a mesmerizing rhythm that lulls the mind into a state of relaxation, fostering introspection and contemplation.Moreover, the sound of the sea is incredibly therapeutic. The rhythmic crashing of waves against theshore produces a natural symphony that has the power to drown out intrusive thoughts and distractions. Many people find solace in the soothing sound of the waves, using it as a form of meditation to clear their minds and find inner peace.Beyond its visual and auditory elements, the sea also offers a sensory experience that can promote tranquility. The feel of cool sea breeze against the skin, the taste of salt in the air, and the sensation of sand beneath the feet combine to create a multisensory environment conducive to relaxation and mindfulness. Engaging with these sensory stimuli can help individuals become more present in the moment, letting go of worries about the past or future.Furthermore, the sea provides a sense of perspective that can help put life's challenges into context. Standing before the vastness of the ocean, one cannot help but feel small and insignificant in comparison. This realization can be humbling yet liberating, as it reminds us of the ephemeral nature of our problems and encourages us to let go of unnecessary burdens.In addition to its psychological benefits, the sea also has physiological effects that contribute to a sense of calmness. The negative ions present in sea air have been shown to increase levels of serotonin, a neurotransmitter that promotes feelings of happiness and well-being. Breathing in sea air can thus have mood-lifting effects, enhancing one's overall sense of contentment and relaxation.In conclusion, the sea holds a special place in the human psyche as a source of tranquility and peace. Its vastness, rhythm, and sensory qualities have a profound impact on our mental and emotional well-being, offering an escape from the stresses of modern life and providing a sense of perspective. Whether through its visual beauty, soothing sounds, or invigorating air, the sea has the power to calm the restless mind and rejuvenate the spirit.。
a r X i v :0806.4908v 1 [c o n d -m a t .m t r l -s c i ] 30 J u n 2008The effect of local dipole moments on the structure and lattice dynamics of K 0.98Li 0.02TaO 3Jinsheng Wen ∗,1,2Guangyong Xu,1C.Stock †,3,4P.M.Gehring,4Z.Zhong,5L.A.Boatner,6E.L.Venturini,7and G.A.Samara 71Condensed Matter Physics and Materials Science Department,Brookhaven National Laboratory,Upton,New York 119732Department of Materials Science and Engineering,Stony Brook University,Stony Brook,New York 117943Physics Department,the Johns Hopkins University,Baltimore,Maryland,212184NIST Center for Neutron Research,National Institute of Standards and Technology,Gaithersburg,Maryland 208995National Synchrotron Light Source,Brookhaven National Laboratory,Upton,New York 119736Oak Ridge National Laboratory,Oak Ridge,Tennessee 378317Sandia National Laboratories,Albuquerque,New Mexico 87185(Dated:June 30,2008)We present high energy x-ray (67keV)and neutron scattering measurements on a single crystal of K 1−x Li x TaO 3for which the Li content (x =0.02)is less than x c =0.022,the critical value below which no structural phase transitions have been reported in zero field.While the crystal lattice does remain cubic down to T =10K under both zero-field and field-cooled (E ≤4kV/cm)conditions,indications of crystal symmetry lowering are seen at T C =63K where the Bragg peak intensity changes significantly.A strong and frequency-dependent dielectric permittivity is observed at ambient pressure,a defining characteristic of relaxors.However an extensive search for static polar nanoregions,which is also widely associated with relaxor materials,detected no evidence of elastic neutron diffuse scattering between 300K and 10K.Neutron inelastic scattering meth-ods were used to characterize the transverse acoustic and optic phonons (TA1and TO1modes)near the (200)and (002)Bragg peaks.The zone center TO1mode softens monotonically with cooling but never reaches zero energy in either zero field or in external electric fields of up to 4kV/cm.These results are consistent with the behavior expected for a dipolar glass in which the local polar moments are frozen and exhibit no long-range order at low temperatures.PACS numbers:61.05.fg,61.05.cf,77.80.Dj,77.84.DyI.INTRODUCTIONA defining feature of relaxor ferroelectrics is a large and highly frequency-dependent dielectric permittivity that ex-hibits a broad peak at a temperature that is not associated with a long-range ordered structural phase transition.1Among such materials the lead-oxide relaxors (1−x )Pb(Mg 1/3Nb 2/3)O 3-x PbTiO 3(PMN-x PT)2,3,4and (1−x )Pb(Zn 1/3Nb 2/3)O 3-x PbTiO 3(PZN-x PT)5,6have attracted the greatest attention because of the enormous potential they possess for use in de-vice applications and because of the interesting scientific chal-lenges they present to researchers attempting to understand the physics of systems in which order and disorder coexist and compete.Random fields arising from the heterovalent cations located on the perovskite B-sites are believed to be a seminal ingredient that underlies their relaxor properties.7At the same time,KTaO 3,a perovskite compound that is known as an ”in-cipient”ferroelectric because it does not undergo a ferroelec-tric transition in zero field 8even though the transverse optic (TO)phonon mode softens substantially at low temperature 9,has long been of interest to scientists because the material properties can be changed dramatically by adding very small amounts of impurities.The Li-doped material K 1−x Li x TaO 3,or KLT(x ),for example,transforms to a tetragonal phase for Li concentrations as low as x c =0.022(below this criti-2reaches a maximum,shifts from about 60K to 90K as the measurement frequencychanges from 100Hz to 1MHz un-der a pressure of 1bar (Fig.1).This behavior is believed to result from a relaxation process involving local Li +dipole moments and Li +-Li +ion pairs.A key question is whether or not there are local regions around these dipoles that are polar and form PNR.Both high-energy x-ray and neutron scatter-ing techniques have been used to look for evidence of diffuse scattering that might indicate the presence of PNR in this sys-tem.But in contrast to other relaxors and KLT(x )crystals with higher Li concentrations,no static diffuse scattering intensity is observed in this sample down to T =10K.This indicates that in KLT(x )for x <x c ,the local Li moments are mostly isolated and do not form larger (static)PNR.FIG.1:Dielectric constant ε′and loss-tangent tan δof KLT(0.02)measured at different frequencies under a pressure of 1bar.Based on the shape of thermal diffuse scattering measured with high-energy x-rays,we have confirmed that the TO1mode (phonon polarized along 100 )in this crystal is soft,which is consistent with the (expected)tetragonal polarization scheme in KLT compounds.In addition,no explicit struc-tural changes in the crystal lattice structure are observed un-der both zero-field cooled (ZFC)and field-cooled (FC)con-ditions.However there is an increase in the Bragg peak in-tensity at T C =63K,which suggests a lowering of crystalsymmetry through a release of extinction,though not large enough to cause a measurable lattice distortion.Low-energy acoustic and optic phonons were also studied with neutron in-elastic scattering methods.The ZFC phonon behavior is very similar to that in the parent compound 21and in KLT(0.05)20,where a softening,but no condensation and/or recovery,of the zone-center optic mode occurs.When cooled under an exter-nal electric field E =4kV/cm oriented along the [001]direc-tion,the static structure and energies of the TO/TA phonons are barely affected,whereas the intensities of long-wavelength phonons show interesting changes.Our results suggest that for small Li contents,KLT(x )changes from an incipient fer-roelectric to a dipolar glass,where the dipole moments are frozen locally without long-range ferroelectric order.II.EXPERIMENTThe KLT(0.02)single crystal examined in this study has di-mensions 0.5cm ×1cm ×2cm and was grown at Oak Ridge National Laboratory.The crystal structure is cubic with aroom temperature lattice constant a =3.992˚A.The Li con-centration of the crystal was estimated from the amount of Li in the melt and then corroborated from the established rela-tionship between the Li concentration and the peak tempera-ture of the dielectric permittivity.22Neutron scattering experiments were carried out on the cold neutron triple-axis spectrometer SPINS and the thermal neu-tron triple-axis spectrometer BT7,which are located at the NIST Center for Neutron Research (NCNR).Horizontal neu-tron beam collimations of guide-80’-S-80’-open (S=sample)and 50’-50’-S-40’-240’were used for the measurements on SPINS and BT7,respectively.All data were taken in a fixed final energy mode (5.0meV for SPINS and 14.7meV for BT7)using the (002)Bragg reflection from highly-oriented pyrolytic graphite (HOPG)crystals to monochromate the in-cident and scattered neutrons.During the experiments on SPINS a Be filter was placed before and after the sample to reduce the scattering from higher order reflections;a sin-gle HOPG filter was placed after the sample on BT7for the neutron inelastic measurements.All data were taken in the (H0L)scattering plane defined by the vectors [100]and [001],and described in terms of reciprocal lattice unit (rlu),where1rlu =a ∗=2π/a =1.574˚A−1.The electric field was ap-plied along the [001]direction during the FC measurements.All data were taken on cooling from 300K to ensure that all residual (poling)effects were removed.X-ray scattering experiments were performed at beam-lines X17B1and X22A located at the National Synchrotron Light Source (NSLS).A 67keV x-ray beam with an energy-resolution ∆E/E =10−4was produced at X17B1using a sagittal-focusing double-crystal Si (311)monochromator with both crystals oriented in the asymmetric Laue mode.23CCD detectors were used to perform monochromatic Laue-style measurements.In this type of configuration scattering inten-sities on a large part of the surface of the Ewald sphere can be measured simultaneously.Data were taken in the (HK0)and (HKK)zones.Further details about the x-ray diffuse scatter-3 ing experimental set are discussed in the paper by Xu et al..6Structural measurements were also performed on the X22Abeamline using an incident x-ray energy of10.7keV and aperfect Si crystal analyzer.III.RESULTS AND DISCUSSIONA.StructureThe structure of KLT(0.02)was examined using elasticneutron scattering and x-ray diffraction methods.As shown in Fig.2,there is no discernable change in the position or longitudinal width of the(200)Bragg peak between300K and10K.There is also no obvious difference between Bragg peaks measured at(200)and(002).Based on the BT7instru-mental wave-vector resolution,which is∆Q/Q∼5×10−3 full width at half maximum(FWHM),we can set an upper limit of 0.1%on the tetragonality c/a−1.Within this limit KLT(0.02)does not undergo a tetragonal lattice distor-tion down to T=10K.This is confirmed by higher reso-lution∆Q/Q∼3×10−4x-ray diffraction measurements, with absence of change in lattice constant at all temperature range.However,a lowering of the crystal symmetry is clearly evident from the data shown in the inset of Fig.2,where the ZFC(200)Bragg peak intensity jumps at T C=63K.This ef-fect is quite common in ferroelectric systems where a release of extinction occurs when the system transforms into a lower symmetry phase.7If there is no tetragonal lattice distortion, then the increase in the Bragg peak intensity at T C=63K is likely due to subtle shifts in the atomic positions in an other-wise cubic lattice,i.e.even though the unit cell remains cubic the symmetry of the system can be lowered in this manner. The same measurements were performed on the sample af-ter it was cooled in an external electricfield E=4kV/cm applied along[001].Neither the width or the intensity of the Bragg peaks were affected.Thus the application of a moder-ate electricfield along[001]has no discernable effect on the average static structure of this system.B.Diffuse scatteringFig.3shows CCD images taken at10K and300K in the (HK0)zone.In this plane the diffuse scattering extends along the[100]or[010]direction,or both.For example,near the (¯200)Bragg peak the diffuse scattering is transverse in char-acter in that it extends primarily along[010],whereas the diffuse scattering near(¯210)extends along both[100]and [010].These observations hold true at10K and300K and are qualitatively similar to those measured in other KLT(x)sys-tems.19,20However the diffuse intensities increase with tem-perature indicating that these measurements may be domi-nated by thermal diffuse scattering effects.To obtain a complete picture of the diffuse scattering in three dimensions we rotated the sample about[100]by45◦and measured diffuse scattering intensities in the(HKK)zone. Fig.4shows the corresponding CCD images obtained at10K FIG.2:(Color online)ZFC(200)Bragg peak scan at300K,ZFC and FC(200)and(002)Bragg peak scans at10K.The intensities of the 300K data were scaled to permit a direct comparison with those at 10K.The inset shows the ZFC(200)Bragg peak intensity measured with neutrons on BT-7and the ZFC lattice parameters measured with x-rays on X22A.Uncertainties in the Bragg intensities are commen-surate with the scatter in the data.The error bars in the inset are ob-tained by least-squarefitting the data with Gaussian functions.The solid line is guide to the eye.and300K.The sample was also tilted about the[011]direc-tion by2◦to better observe the out-of-plane components of the diffuse scattering(for a detailed description of this tech-nique see Ref.6).Near(¯200)we observe diffuse scattering that extends along[011],whereas near(¯110)the diffuse scat-tering extends along both[100]and[010].Combining these data with those from the(HK0)zone,wefind that the dif-fuse scattering in KLT(0.02)forms{001}planes rather than rods oriented along 001 .By contrast,the diffuse scatter-ing measured in the lead-oxide relaxor PZN forms ellipsoids that are extended along 110 .6The planar geometry of the diffuse scattering in KLT(0.02)was confirmed after we tilted the sample so that the Ewald sphere was displaced even fur-ther from the Bragg peaks;then we could actually observe a splitting of the diffuse scattering intensities in the(010)and (001)plane,showing two almost vertical lines near(220)on the CCD image.Note that the diffuse scattering from all three planes((100),(010),and(001))is not always present around all Bragg peaks.For example,near(200)only the inten-sity from the(100)plane is observed while intensities in the (010)and(001)planes are absent.This is because the neu-tron(and x-ray)diffuse scattering cross section resulting from local atomic shifts is proportional to|Q·ǫ|2,whereǫis the polarization vector.We can therefore carry out a simple po-larization analysis similar to that done in Ref.6.Our analysis shows that the diffuse scattering intensity from{001}planes arises from polarizations oriented along 001 ,i.e.perpen-dicular to the planes.This indicates that the phonon modes polarized along 001 (T1modes)are soft,which is perfectly natural for a system that has a tetragonal ground state.By comparison,in the case of the lead-oxide relaxors(e.g.PMN-4 FIG.3:(Color online)CCD images showing the diffuse scatteringfrom KLT(0.02)measured at T=10K and300K in the(HK0)zone.The incident x-ray beam is oriented along[001].x PT and PZN-x PT)the T2mode is soft and the ground stateis rhombohedral.6,24One disadvantage of x-ray diffuse scattering measurementsis the lack of energy resolution;this makes it difficult to distin-guish dynamic contributions,e.g.phonons or dynamic PNR,from static contributions.There have been some reports19,20that the diffuse scattering in KLT(x)for x>x c is mainlystatic,as is the case in the lead-oxide relaxors PMN-x PT2andPZN-x PT6.However,in KLT(0.02)the x-ray diffuse scatter-ing intensity increases with temperature,which is inconsis-tent with the behavior observed in these other relaxor systemswhere the diffuse scattering from static PNR decreases with`e s and Shirane reported that phonon contri-butions dominate the x-ray diffuse intensity in the parent com-pound KTaO325,which strongly suggests that thermal diffusescattering may dominate in KLT(x)samples with very lowLi contents.In order to resolve this issue for KLT(0.02),weperformed neutron scattering measurements using the NCNRSPINS spectrometer,which provided very good energy reso-lution(∼0.34meV FWHM).Fig.5shows scans of the elastic scattering intensity asa function of the wavevector measured on SPINS along[100]and[010]at10K,150K and300K near the(100)and(110)Bragg peaks.The Bragg peaks werefit usingresolution-limited Gaussian functions.The background is∼500counts/2min and is nearly temperature independentFIG.4:(Color online)CCD images showing the diffuse scatteringfrom KLT(0.02)measured at10K and300K in the(HKK)zone.The incident x-ray beam is oriented along[01¯1].and identical at each Bragg peak.Diffuse scattering should beweak and broad compared to that from the Bragg peaks,ap-pearing as broad tails on either side of the Bragg peak.How-ever,for KLT(0.02)wefind that outside of both Bragg peaksthe scattering intensity isflat and temperature independent,indicating the absence of any elastic diffuse scattering.Here we only measured diffuse scattering near(100)and(110)peaks.Since it is highly unlikely that diffuse scatter-ing structure factors are weak at both two peaks,we believethat static diffuse scattering is extremely weak here.Theseresults can be compared directly with measurements aroundthese two peaks on pure PMN taken on the same instrument.3The diffuse scattering from KLT(0.02)is at least one to twoorders of magnitude weaker.We thus conclude that the dif-fuse x-ray scattering shown in Fig.3and Fig.4is thermaldiffuse in nature,i.e.dominated by contributions from T1phonon modes.This situation is quite different from that ob-served in other relaxor systems,as the diffuse scattering hasbeen shown to be mainly elastic in PMN-x PT2,26,PZN-x PT6,and even KLT(x)at higer Li concentrations19,20.We also mea-sured the elastic diffuse scattering under an external electricfield along[001].Again in contrast to the behavior observedin both PMN-x PT and PZN-x PT,no change in the diffusescattering was observed up to E=4kV/cm.In KLT(x)it is known that local Li displacements lead tolocal dipole moments.Yet despite the absence of any mea-5surable diffuse scattering in our sample,and thus by infer-ence any static PNR,these local Li dipoles apparently still contribute to the relaxation process that leads to a strongly frequency-dependent dielectric permittivity.The clear dif-ference between KLT(0.02)and other relaxor compounds in which PNR are observed 2,6,20,27,28,29is that for KLT(0.02)the local moments are indeed really “local,”i.e.they do not po-larize the surrounding regions to form PNR that exceed a few unit cells in size.Further,no correlations between local Li moments are evident from our measurements.With increas-ing Li concentration,the effect of these local polar moments on the bulk system becomes stronger,as evidenced by both the existence of static diffuse scattering (larger PNR)and an ex-plicit phase transition into a low temperature tetragonal phase (for x >x c ).Whether these two effects are independent or correlated has yet to bedetermined.FIG.5:(Color online)Elastic scans at 10K,150K and 300K.(a),(b),H and K scans at (100);(c),(d),H and K scans at (110).Error bars represent square root of the counts.Lines are guides to the eye.C.Phonons under electric fieldThe lowest-energy transverse optic (TO)and transverse acoustic (TA)phonons have been characterized near (200)and (002)using the BT7thermal neutron triple-axis spectrometer.In Fig.6we plot the dispersions for the TA and TO phonons measured near (200)along [0¯10]at various temperatures un-der ZFC conditions.From 300K to 10K the zone-center TO phonon clearly softens,but it never reaches zero energy.This behavior is very similar to that seen in both the parent com-pound KaTO 321and in KLT(0.05)20.In fact at 10K the zone-center TO energy is more than 6meV ,which is higher than that in the parent compound KTa03∼3meV .21Raman mea-FIG.6:Dispersion of TO and TA phonons under zero field at differ-ent temperatures.Measurements were taken near (200)along [0¯10].The inset is a plot of ( ω0)2vs.temperature.Error bars are obtained by least-square fitting the data with Lorentzian functions.Lines are guides to the eye.surements 12on a KLT(x )crystal with a similar Li content also show results that are consistent with ours for this TO phonon mode.If we plot the soft mode energy ( ω0)2vs.temper-ature (see the inset to Fig.6)we see that ( ω0)2decreases linearly with T as expected for a conventional displacive fer-roelectric.This behavior is also observed in the lead-oxide relaxors such as PMN at high temperature.However,unlike the case of PMN,the soft mode in KLT(0.02)never recovers as the linear decrease in ( ω0)2persists down to at least 10K.This suggests that no ferroelectric phase transition occurs for T >0and that the local,polar moments freeze on cooling,which implies the presence of a low-temperature dipolar glass phase.At the same time,the energy width of the soft mode remains almost constant,yet larger than the instrument reso-lution,thus indicating a decreased phonon lifetime.This is similar to what is observed in KLT(0.05).20It is thus pos-sible that the local dipole moments resulting from the large Li ionic displacements do interact with,or scatter,the soft mode,even though there is no clear temperature scale asso-ciated with this interaction.In this respect the soft mode in KLT(0.02)behaves quite differently from those measured in PMN-x PT,and PZN-x PT,where the so-called ”waterfall”ef-fect (i.e.a wavevector-dependent broadening of the soft mode in energy)is observed 30,31,32and lately interpreted in terms of a defect model arising from chemical and valence disorder 33.In our KLT(0.02)sample the Li content is relatively low;thus effects from chemical disorder are minimal and no ”waterfall”effect is present.Interestingly,the TA mode in KLT(0.02)behaves quite dif-6ferently from that in KLT(0.05).20Unlike the more highly Li-doped samples,the TA phonon in our sample remains well-defined throughout the whole temperature range (10K to 300K).There is virtually no temperature dependent change in either the dispersion,lineshape,or linewidth of the TA mode.This suggests that the broadening of the TA mode reported in KLT(0.05)on cooling is very likely due to an interaction between the the TA mode and the polar,short-range order (PNR).It seems plausible that as the PNR in KLT(0.05)grow larger on cooling,their interaction with the TA mode becomes stronger,causing in a change of the TA phonon line width (lifetime).In KLT(0.02),since there is no static diffuse scat-tering,but only isolated local Li moments,the TA phonon mode remains unchanged.When an electric field is applied along the [001]direction,we observe interesting changes in the phonon behavior.As shown by our structural measurements,no long-range,fer-roelectric,tetragonal phase is induced when cooling under a moderate field.The phonon behavior is completely consis-tent with our structural results.At 10K,the energy of the TA mode is unaffected by the external field,and any effect on theenergies of the TO mode is very small (see the inset to Fig.7).In other words,the FC energies of the TA and TO phonons remain close to the ZFC values in our sample in which there is no explicit low-temperature tetragonal phase.This finding stands in stark contrast to those measured in more highly doped KLT(x )samples,e.g.in KLT(0.035)18where a clear splitting of the TA mode is observed when the system is cooled with under a [001]field and transforms into a tetrago-nal phase.Ostensibly this is because the local dipole moments in KLT(0.02)are frozen,thus making it very difficult to drive the system into a long-range-ordered ferroelectric phase with an external field.Despite the absence of a measurable change in phonon en-ergies under an external field there is a significant change in the intensities and/or lineshapes of the TA/TO phonons mea-sured near the (200)and (002)Bragg peaks.The intensity for the zone center TO mode measured near (200)increases and the peak becomes sharper,while near (002)the intensity of the TO mode decreases,and the peak becomes broader in energy.The difference between the intensities is as large as 50%.As q increases the effect appears to diminish.When q =0.1rlu,the difference in the optic modes measured near (200)and (002)is already tiny.At a wavevector of q =0.2rlu,the TA and TO phonons measured near (200)and (002)are very sim-ilar.We are puzzled,however,to note that the FC acoustic mode intensity near (002)increases significantly.These changes suggest that even though no clear evidence of any long-range polar order is induced with the application of a moderate electric field oriented along [001],a field can still influence the overall polar structure of the system to a certain extent.It is likely that electric field can lead to an enhancement of the local Li dipole moments polarized along [001].This will lead to a stronger interaction between these local dipole moments and TO phonons having the same polar-ization ([001]).The result is the broadening of the zone center TO mode measured near (002).The change in the TA phonon mode indicates a strong coupling between TA and TO modesFIG.7:(Color online)Constant q scans for q =0.0,0.1,0.2rlu,measured at 10K.The inset shows TO phonon dispersion measure-ments under ZFC (black),FC(200)(blue),FC(002)(red)conditions.Intensity errors represent square root of the counts,and error bars in the inset are obtained by least-square fitting the data with Lorentzian functions.Lines are guides to the eye.in the system,similar to that in its parent system KTaO 325,which should only be significant for small (but non-zero)q .IV .SUMMARYThe strong frequency-dependent peak in the dielectric curve ε′(ω,T )observed in KLT(0.02)system would appear to justify categorizing it with other relaxor systems.Yet unlike other relaxors where static PNR are easily identified by the presence of strong,temperature dependent diffuse scattering,no such scattering is observed near either the (100)and (110)Bragg peaks between 10K and 300K.The diffuse planar dif-fuse scattering intensities observed with x-rays are dominated by contributions from soft T1phonon modes.This makes the system very unique.In KLT(0.02)the PNR are either small in volume (i.e.isolated local Li dipole moments)or dynamic in nature.In fact,these local Li dipole moments dominate the physics in this system.Our structural measurements show no splitting of the main (200)Bragg peak in either ZFC or FC conditions.This sug-gests that the shape of the unit cell in KLT(0.02)remains cubic down to low temperatures within the precision of our7measurements( ∼0.1%).The change in Bragg peak inten-sity at T C=63K suggests a release of extinction due to a lowering of crystal symmetry.Hence subtle changes in the crystal structure do occur at T C.On the other hand,although the zone center energy of the TO phonon softens significantly with cooling,it does not condense at low temperature.No fer-roelectric phase transition takes place under ZFC or FC(E up to4kV/cm)conditions,which is suggestive of a dipole glass phase in which the local moments are frozen and long-range polar order are not achieved.Interesting electricfield effects have been observed in our neutron measurements of the TO and TA modes for small q<0.20rlu.Although electricfields of up to4kV/cm ori-ented along[001]fail to induce long-range polar order,the samefields appear to be able to affect the Li moments such that long wavelength TO phonons polarized along[001]are more strongly scattered by the local Li moments,thus causing them to become broader in energy(shorter lifetimes).How-ever,the system remains in a dipolar glass state where the local Li moments are frozen and no long-range correlation be-tween these moments exists,as also evidenced by the absence of static diffuse scattering under an externalfield.AcknowledgmentsWe would like to thank stimulating discussions with H.J.Kang,J.H.Chung,J.W.Lynn,and Y.Chen.The work at Brookhaven National Laboratory was supported by the U.S. Department of Energy(DOE)under contract No.DE-AC02-98CH10886.C.Stock was supported by Natural Sciences and Engineering Research Council of Canada and the NSF un-der Grants No.DMR-0306940.Research at ORNL is spon-sored by the Division of Materials Sciences and Engineering, Office of Basic Energy Sciences,U.§.DOE,under contract DE-AC05-00OR22725with 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