Biomaterials Objectives: This course is designed to provide a general understanding of the multidisciplinary field of biomaterials. Course biomaterials will rely on general concepts learned in polymer and biology/biochemistry courses and will further extend the understanding about the interactions at the interface of material and biological systems. Current applications of biomaterials will be evaluated to provide an understanding of material bulk and surface properties, degradation processes, various biological responses to the materials and the clinical context of their use. The major classes of materials along with their properties, characterization, biological responses, and specific clinical applications are presented and The classes of biomaterials (metals, ceramics, polymers, semiconductors, composites) used today in medical devices used as implants in the body or in contact with bodily fluids. Identify and describe concept of biomedical materials. Indentify and describe the applications of the biomedical materials such as bone cement and internal fixation implants in orthopedics. Apply the relevant methodologies to evaluate the physical, mechanical, optical and biological properties of currently used or researched biomedical materials. Apply knowledge of materials science to develop new biomedical materials Course Topics: Atomic bonding, crystallography, defects , Diffusion , Mechanical properties, strengthening mechanisms , Failure of materials and engineering components , Phase diagrams , Microstructure design of materials , Polymers , Corrosion , Electrical, magnetic, optical properties , Case studies 1 Introduction : Many types of materials are used in biomedical engineering to replace or supplement natural biological systems. Interaction with blood and tissues is always of primary importance, but depending on the use of the biomedical material, mechanical, optical, and transport properties may also be vital. The most accepted definition of biomaterials is currently the one employed by the American National Institute of Health that describes biomaterial as ‗‗any substance or combination of substances, other than drugs, synthetic or natural in origin, which can be used for any period of time, which augments or replaces partially or totally any tissue, organ or function of the body, in order to maintain or improve the quality of life of the individual‘‘. Biomaterials science: encompasses elements of medicine , biology , chemistry , tissue engineering and materials sciences . Biomaterial science - Definitions Biomaterials are special materials that have been used for over 50 years in several medical applications. A natural or synthetic material (as a metal or polymer) that is suitable for introduction into living tissue especially as part of a medical device (as an artificial joint) Biomaterial : A biomaterial is a nonviable material used in a (medical) device intended to interact with biological systems - Materials used to safely replace or interact with biological systems 2 A biomaterial is defined as a substance that has been engineered to take a form which, alone or as part of a complex system, is used to direct, by control of interactions with components of living systems. Interdisciplinary interactions are needed Different disciplines have to work together, starting from the identification of a need for a biomaterial through development, manufacture, implantation, and removal from the patient. some disciplines that intersect in the development , develop , study and application of biomaterials include : biomedical engineer chemist chemical engineer electrical engineer mechanical engineer material scientist biologist microbiologist physician Many Biomaterials are used 3 Biomaterials are used in: Joint replacements Bone plates Bone cement Artificial ligaments and tendons Dental implants for tooth fixation Blood vessel prostheses Heart valves Skin repair devices (artificial tissue) Cochlear replacements Contact lenses Breast implants Drug delivery mechanisms Sustainable materials Vascular grafts Stents Nerve conduits Surgical sutures, clips, and staples for wound closure. Examples of biomaterial applications (USA) Substitute heart valves (45,000/year) Artificial hips (90,000/year) Dental implants (275,000/year) Intraocular lenses (1.4 millions/year) 4 Examples of biomaterial applications Biomaterials can be in the forms of metals and alloys, ceramics, polymers and composites. There are several biomaterials utilized for a variety of medical purposes. Metals are used in artificial hips and other joint prostheses and in tooth implants Ceramics are used in joint prostheses, in heart valves and tooth replacement . Polymers are used in eyeglasses, contact lenses, stents, sutures , skin grafts, porous scaffolds The major applications include joint replacements, blood vessel prostheses, bone plates, bone cement, heart valves, artificial ligaments and tendons, dental implants, skin repair devices, contact lenses and cochlear replacements. The main issue in the applications of biomaterials is that they must be biocompatible with the body and mechanically durable, all of which must be proofed before placing into the body. 5 Biomaterials must be compatible with the body, and there are often issues of biocompatibility which must be resolved before a product can be placed on the market and used in a clinical setting. Because of this, biomaterials are usually subjected to the same requirements as those undergone by new drug therapies. All manufacturing companies are also required to ensure traceability of all of their products so that if a defective product is discovered, others in the same batch may be traced. Biocompatibility The ability of a material to perform with an appropriate host response in a specific application. The ability of a biomaterial to perform its desired function with respect to a medical therapy, without eliciting any undesirable local or systemic effects in the recipient or beneficiary of that therapy, but generating the most appropriate beneficial cellular or tissue response to that specific situation, and optimizing the clinically relevant performance of that therapy. Host Response: The response of the host organism (local and systemic) to the implanted material or device. E.g.: A hemodialysis system serving as an artificial kidney requires materials that must function in contact with the patients`s blood and exhibit appropriate membrane permeability and mass transport characteristics. A long list of ‗non-properties‘ had evolved for ‗successful‘ biomaterials: nontoxic, non-immunogenic, non-thrombogenic, non-carcinogenic, and so forth. The above definition required that materials not only provide some function, but also recognized that the interface created by introduction of the material will elicit a biological response. Thus, the idea that the material could be truly inert was essentially rejected with the adoption of this definition. Given today‘s level of understanding of our bodies as sophisticated, complex biological environments, the idea that one could place a foreign material without some sort of response seems naive. The biomaterials must not degrade in its properties within the body and must not cause any adverse reaction within the host´s body. 6 Selection criteria for Biomaterials Biomaterials and biomedical devices are used throughout the human body: 2 important aspects: – Functional performance – Biocompatibility Functional performance The material must satisfy its design requirements in service: Functional performance Examples Load transmission and stress (e.g. bone replacement) distribution (e.g. artificial knee Articulation to allow movement joint) Control of blood and fluid flow (e.g. artificial heart) Space filling (e.g. cosmetic surgery) Electrical stimuli (e.g. pacemaker) Light transmission (e.g. implanted lenses) Sound transmission (e.g. cochlear implant) Selection criteria for Biomaterials The technical materials used to build most structures are divided into four classes: – Metals – Ceramics (including glasses) – Composites – Polymers 7 SUBJECTS OF BIOMATERIALS SCIENCE There are a number of important subjects in biomaterials science and engineering that students learn in the present course. Some of those subjects are given below: Toxicology: Biomaterials should not be toxic. Unless otherwise specified, toxicology is a study of adverse effects of biomaterials on the living cells and organs of the body. It usually deals with symptoms, mechanisms, treatment and detection. However, there are some biomaterials or drugs specifically designed to be toxic to target deadly diseases (e.g., cancer tumors) and destroy them. 8 Biocompatibility: The biomaterials must be non tumorigenic, normal wound healing, no infections, no hypersensitivity. Biocompatibility is mostly related to the behavior of biomaterials inthe body conditions. It is difficult to measure directly, so generally defined in terms of success for specific applications, such as implants and drug delivery systems. Biodegradability: It is simply a phenomenon that natural and synthetic biomaterials are capable of decomposing in the body conditions without leaving any harmful substances behind. Sometimes, it leaves behind useful nutrients, which may be useful for disease treatment and body recovery. Targeted Drug Delivery: Drug targeting is achieved through venous injection of drug loaded materials, which freely circulate throughout the body. Under the external forces or effects (e.g., magnetic, ultrasound, electric, temperature, light, X-Rey, pH and mechanical), these materials are trapped and concentrated at the local site, and then start releasing the drug molecules. Three main mechanisms for releasing drug molecules from the materials into a blood vessel or tissue are diffusion, degradation, and swelling followed by diffusion Healing: One of the main considerations of biomaterials is that when they are placed in the body, they should heal the disfunctioning part of the body. Mechanical Durability: The best materials for medical applications are not only biocompatible, but also have better physical properties similar to those of the bones, tissues or other biological systems to be replaced or repaired. Biomaterials must perform to certain standards, and also cope with tensile and compression stresses. Some of the comparative properties of natural and synthetic biomaterials are given in Table 1. As is seen, every material has its own special Young‘s modulus, density and compression and tension strength, which in turn determine their specific applications in different biomedical purposes.Thus, it is essential that all biomaterials are well designed and are tested before the medical applications. 9 Biomaterials Corrosion: Body fluid has all kinds of anions (Cl-, HPO42- and HCO3), cations (Na+, K+, Ca2+, and Mg2+), organic substances (proteins and enzymes), plasma, water and dissolved oxygen along with body temperature (37°C). Thus, body has all possible environments for metallic biomaterials corrosion [1]. Figure 4 shows the corrosion formation on a hip joint at the junction between the modular head and neck of prosthesis. Failure of Biomaterials: Although several biomaterials meet the requirements of biocompatibility for medical use, unfortunately, some of the biomaterials do not possess sufficient mechanical durability in a large number of cases. Thus, revision surgeries are necessary in approximately 7% of hip and 10% of knee replacements after 10 years of use. Biomaterials can fail through several ways: (i) insufficient mechanical durability, higher fatigue, damage accumulation, and wear, (ii) provoking adverse biological responses, such as failure arises by bone loss or bone death due to the inappropriate stressing of the peri-prosthetic tissues, failure of bone ingrowth due to the relative motion between implant and tissues or osteolysis due to the wear particles Metallic corrosion on a hip joint (left) and degraded polymeric knee joint (below) shows the degraded polymeric knee joint after a long period of use 11 Mechanical and performance requirements strong and rigid: soft and elastomeric: Articular cartilage substitute: strong and flexible: Hip prothesis: Dialysis membrane: Biomaterials can be in the forms of metals and alloys, ceramics, polymers and composites. Metals and alloys Metals and alloys are used as biomaterials due to their excellent mechanical, surface and thermal properties. Some of the metals and alloys include 316L stainless steel, Ti based alloys, Cr based alloys, Ni based alloys, Au, Ag and Pt based metals and alloys, and amalgams (Hg, Ag and Sn). The properties of metallic materials are related to the grain size and shape, surface roughness and imperfections in the crystal structure. However, some studies showed that the surface of metals can be active and interact with the tissue or organs and produce toxic corrosion products. This limits the use of metallic materials in various applications. Ceramic biomaterials bioceramics are highly biocompatible materials and possess several superior properties: they can have structural functions as joint or tissue replacements, can be used as coatings to improve the biocompatibility of the implants, can allow growing cells and tissues on them can be used to replace some of the entire body parts. The better chemical and thermal stability, strength, wear resistance and durability make ceramics good candidate materials for surgical implants. The main disadvantages of the ceramics are that they are highly brittle, have low tensile strength, can mechanically fail during the use and are not reparable when broken. Some of the ceramic biomaterials include hydroxyapatite, alumina, zirconia, calcium phosphate, insoluble glasses, bioactive glasses, porcelain and carbons. Bioceramics have higher porosity in their structure which is a critical parameter for growth and integration of cells and tissues. 11 The several biomaterials utilized for various biomedical applications. Polymeric biomaterials Polymeric biomaterials : possess a wide spectrum of physical, chemical, physicochemical and biological properties that allow them to be used in a wide verity of medical applications. They can be both biocompatible and biodegradable depending on the chemical structures and applications. Some of the biocompatible polymers include (but are not limited to) ultra-high molecular weight polyethylene, polymethyl-methacrylate, polytetrafluoroethylene, polyethleneterephthalate, poly(etheretherketone), polyvinyl chloride, polyethylene, polypropylene, etc. Biodegradable polymers include polylactide (PLA), polyglycolide (PGA), polycaprolactone (PCL), and their copolymers. It is reported that the degradation of the materials yields the corresponding hydroxy acids, making them safe for in vivo use. 12 Ductility, low tensile and compression strengths, and high wear rate result in a high generation of wear debris, which reduce the applications of some of the polymeric biomaterials. Composite biomaterials Composite biomaterials are new classes of materials formed by a biocompatible matrix (resin) and a reinforcement of synthetic materials (e.g., carbon and glass fibers). There are also natural composite biomaterials including bone, wood, dentin, cartilage, turtle shell, chicken feather, and skin. These materials are used for drug, gene and DNA delivery, tissue engineering, joint and bone replacement, cosmetic, orthodontics (dental), etc. These materials usually imitate the structures of the living parts of the body. Various micro structures of biomaterials for cell and tissue growth. Metals Metals are widely used as biomaterials due to their strength and toughness Implant metals are generally biocompatible: – Stainless steel – Titanium – Cobalt alloys Some people are allergic to ions released from these metals. 13 Metals used in medicine Stainless steel (most common 316L) 60-65% iron, 17-19% cromium, 12-14% nickel, > than 0.030% carbon, minor amounts of nitrogen, manganese, molybdenum, phosphorous, silicon, and sulfur. Low carbon content for better resistance to in vivo corrosion. Cromium: corrosion resistance by formation of surface oxide. Nickel: improves strength by increasing face centered cubic phase (austenite). Due to potential long term release of Ni2+, Cr3+ and Cr6+ restricted to temporary devices. Used as screws and fittings for orthopedics. Ti alloys Light , Good mechanical properties , Good corrosion resistance due to TiO2 solid oxid layer. Pure Ti, grade 4 CP Ti (ASTM F67) – Ti 99% wt (non-alloyed) – 0.4% O – Commercially pure Ti used in dental implants. – Ti-6Al-4V ELI (ASTM F136) Ti 89% wt Al 6% wt V 4% is widely used for implants and porous surface-coating. – Contains impurities (N, 0.13% O, Fe, H, C) – Impurities increasing interstitial content increase strength and fatigue limit. (N increases hardening, O increases tensile (yield) strength) Ti-6Al-4V ELI (ASTM F136) • Hip and knee implants • Screws and fittings • Dental implants • Pacemaker housings – Resistant to stress corrosion cracking and corrosion fatique in body fluids. – One of the few materials that permits bone growth at the interface. But, titanium has unsatisfactory wear 14 Dental Metals Amalgam – Used since 150 years – Mixture of solid alloy and mercury (moldable and strong). – Solid alloy composed of silver (65%), tin (29%), copper (6%), zinc (2%) and mercury. • Mercury (3%) is fluid in mixture and forms Ag3Sn, Ag2Hg3, Sn7Hg – Deformable mixture packed in cavety – Hardens in time (25% of total strength in 1 hour, full strenght in a day). – Amalgam is stable, strong, inexpensive and endurable (8-10years). Gold and gold alloy: Noble metal-known since thousands of years – First dental biomaterial – Biocompatible – Pure gold is to soft for dental applications – Enrichment by platinum – Excellent biomaterial/processing/dental applications – Resist high mechanical loading – High endurance – Aesthetics: metallic color Alloys –1400 different dental alloys – Applicable for all kind of restoration – Contain only biocompatible materials – Palladium, Silver, Gold, Cupper, Platinum – Should not contain: Ni, Cd, Be Corrosion It is continued degradation of metals to oxide, hydroxide or other compounds through chemical reactions. The human body is an aggressive medium for inducing corrosion in metals: water, dissolved oxygen, proteins, chloride and hydroxide Corrosion: Basic Reactions 15 Ionization: Direct formation of metalic cations under acidic or reducing (i.e. oxygen poor) conditions. M → M+ + eOxidation: Direct reaction of metal with oxygen. M + O2 → MO2 Hydroxylation: The reaction of water under alkaline (basic) or oxidizing conditions to yield a hydroxide or hydrated oxide. 2M + O2(aq) + 2H2O → 2M(OH)2 Corrosion Mechanism: – Materials have tendency to reach their lowest possible free energy (corroded state is preferred). – Most alloys, oxides, hydroxides, sulfides have negative free energy of formation and they are thermodynamically favored over the pure metal – Metal atoms ionize, go into solution and combine with oxygen. – Metal flakes off To avoid corrosion: Consider the composition of the biological invironment (ions, pH, oxygen pressure, etc.) – Use appropriate metals. – Avoid implantation of dissimilar metals. – Minimize pits and crevices. – Avoid transfer of metal from tools to the implant during surgery. Ceramics, Glasses, and Glass-Ceramics Ceramics, Glasses, and Glass-Ceramics include a broad range of inorganic/nonmetallic compositions. – Eyeglasses – Diagnostic instruments – Thermometers – Tissue culture flasks – Fiber optic for endoscopy Dentistry (gold-porcelain crowns, glass-filled ionomer cements, and dentures) Refractory compounds/materials and Usually some combination of metal and nonmetal in general AmXn structural form (A = metal; X = nonmetal) 16 Relative size of ions (radius ratio) and degree of covalent/ionic bonding determine atomic arrangements. High oxidized state and ion/covalent bonding in ceramics makes them: – Resistant to oxidation and increases stability – Non conducting – High melting temps – Hard and brittle Generally used to repair or replace skeletal hard connective tissue. No one material is suitable for all biomaterial applications. – Their success depend upon achieving a stable attachment to connective tissue. – Tissue attachment is directly related to the type of tissue response at the implant-tissue interface. – No material implanted is inert; all materials elicited a response from the tissue. Types of tissue response: Bioceramics Ceramics are: Stiff , Hard, Chemically stable, Wear resistant Material properties differ greatly dependent on (thermal) processing method, yielding 5 categories of microstructure: – Glass – Cast or plasma-sprayed polycrystalline ceramic – Liquid-sintered (vitrified) ceramic – Solid-state sintered ceramic – Polycrystalline glass-ceramic Of the large number of ceramics known only a few are suitable biocompatible. Main problems: They are brittle, Relatively difficult to process 17 Bioinert Bioceramics: Alumina (Al2O3) High density , high purity (>99.5%) alumina Very chemically inert Excellent corrosion resistance High wear resistance, but Low fracture thoughness And tensile strenght (high elastic moculus) Used in compression only (to reduce encapsulation thickness) Femoral head of total hip replacements Orthopedic implants in general Dental implants Dental Ceramics Excellent aesthetics (opaqueness & color) Very tough and hard material But brittle; improvements of strength necessary (achieved by proper processing) Expensive manufacture (dental labs) Alteration of opaqueness & color possible Polymers Carbon atoms are usually joined in a linear chainlike structure and substituted with a great variety of atoms, molecules or functional groups. Thermoplastic polymers: Basic chains with little or no branching; can be melted and remelted without a basic change in structure (=crystalline) .Thermosetting polymers: Side chains form covalent links between chains (threedimensional network); do not melt uniformly on reheating. (= chemically cross-linked) Polymers Non-degradable Biodegradable 18 Polymer-classes used in medicine Biodegradation: A biological agent (an enzyme, or cell) is responsible for degradation. Bioerosion: contains both physical (such as dissolution) and chemical processes (such as backbone cleavage). E.g. a water-insoluble polymer that turns water-soluble under physiological conditions. Bioresorption, Bioabsorption: Polymer or its degradation products removed by cellular activity (e.g.Phagocytosis). Natural Materials 19 Fabrics Major biomedical applications: Surgical gowns: mostly woven and non-woven cellulose, polyethylene and poly propylen fibers. Masks and shoe covers: made of gauze and nonwoven fabrics, respectively. Adhesive tapes: woven or knitted fabric strip with adhesive film. Wound repair and reconstruction of soft tissue. Sutures and threads used to close wounds Ligation threads to tie off bleeding vessels Fiber or fabric reinforced implants for reconstructive and repair surgery of soft tissues. Cardiovascular system applications: Vascular grafts made of woven, knitted or micro porous constructions Dacron, Teflon, nylon66 and polypropylene have been used in prosthetic heart valves as „sewing ring―. Musculoskeletal system applications: Artificial tendons and ligaments Matrices for reconstructive and maxillofacial surgery Graphite-Teflon fibers meshes as matrices for tissue ingrowth in stabilization of dental or orthopedic implants Percutaneous and cutaneous application: Shunts: to provide access to the circulation for routine dialysis 21 Biologically Functional Materials Enzymes, antibodies, drugs, or cells have been immobilized on and with polymeric systems for a wide range of therapeutic, diagnostic and bioprocess applications . Host reactions to biomaterials Complications 21 Complications are largely based on biomaterial-tissue interactions that include both: Effects of the implant on the host tissue and effects of the host on the implant. Inflammation Foreign body reaction (FBR), Immunological response, Systemic toxicity, Blood-surface interactions, Thrombosis, Device-related infections, Tumorigenesis. Based on the reaction of the tissue to the biomaterial, these are classified into three distinct categories: 1. Biotolerant Materials: which are separated from bone tissue by a layer of fibrous tissue. 2. Bioactive materials: which have the property of establishing chemical bonds with bone tissue, known as osseointegration. The collagen and mineral phase of the adjacent bone is deposited directly on the implant surface. 3. Bioinert Materials: in this class it is possible, under certain conditions, to have direct contact with the adjacent bone tissue. No chemical reactions shall occur between the implant and the tissue. Recognition of an active interface between biomaterials and biological systems led to several important basic ideas about biocompatibility. These ideas persist today and comprise the essence of biocompatibility. The first idea is that the interactions at the material–tissue interface occur for both; the material elicits a response from the body and the body elicits a response from the material. All materials will be changed at some level by their introduction into a biological environment—either via corrosion, chemical modification, deposition of substance, degradation, or other mechanism. This exchange of responses leads to a second idea: that the material–tissue interface is dynamic. As the material and biological tissue are modified by each other, the changes themselves may suppose other changes. Thus, the interface is not static, but is changing over its lifetime. Furthermore, because the human buccal conditions are always changing—by aging, by developing systemic or local diseases by adopting new activities, by eating differently, etc.—any equilibrium established at a material–tissue interface is subject to perturbation. A third idea is that reactions at the material–tissue interface are a function of the tissue where 22 the interface is created. A fourth idea about biological–tissue interfaces recognizes the nearly obvious, but often forgotten fact that the materials we use do not belong there. Biomaterials are foreign bodies, and biological responses to these materials are characterized by foreign body responses. Finally, the most recent idea about biocompatibility is that it is possible to customize interactions at the material–tissue interface. Materials are asked to play more sophisticated, longer-term roles in tissues, customizing and optimizing the material–tissue interface to assure the best long term clinical outcomes. The Atom : What is your body made of ? Your first thought might be that it is made up of different organs, such as your heart, lungs, and stomach, that work together to keep your body going. Or you might zoom in a level and say that your body is made up of many different types of cells. However, at the most basic level, your body (and, in fact, all of life, as well as the non-living world) is made up of atoms, often organized into larger structures called molecules. Atoms and molecules, despite being part of a complex, living, breathing being, still follow the rules of chemistry and physics. If you learned in chemistry that some atoms tend to gain or lose electrons, or form bonds with each other, those facts remain true even when the atoms or molecules are part of a living thing. In fact, simple interactions between atoms – played out many times, and in many different combinations, in a single cell or a larger organism – are what makes life possible. One could argue that everything you are, including your consciousness, is the byproduct of chemical and electrical interactions between a very, very large number of non-living atoms! Matter and elements The term matter just refers to anything that occupies space and has mass - in other words, the ―stuff‖ that the universe is made of. All matter is made up of substances called elements, which have specific chemical and physical properties and cannot be broken down into other substances through ordinary chemical reactions. Gold, for instance, is an element, and so is carbon. There are 118 elements, but only 92 occur naturally. The remaining elements have only been made in laboratories and are unstable. 23 Each element is designated by its chemical symbol, which is a single capital letter or, when the first letter is already ―taken‖ by another element, a combination of two letters. Some elements follow the English term for the element, such as C for carbon and Ca for calcium. Other elements‘ chemical symbols come from their Latin names; for example, the symbol for sodium is Na, which is a short form of natrium, the Latin word for sodium. The four elements common to all living organisms are oxygen (O), carbon (C), hydrogen (H), and nitrogen (N), which together make up about 96% of the human body. In the non-living world, elements are found in different proportions, and some elements common to living organisms are relatively rare on the earth as a whole. All elements and the chemical reactions between them obey the same chemical and physical laws, regardless of whether they are a part of the living or non-living world. The structure of the atom An atom is the smallest unit of matter that retains all of the chemical properties of an element. For example, a gold coin is simply a very large number of gold atoms molded into the shape of a coin (with small amounts of other, contaminating elements). Gold atoms cannot be broken down into anything smaller while still retaining the properties of gold. A gold atom gets its properties from the tiny subatomic particles it's made up of. An atom consists of two regions. The first is the tiny atomic nucleus, which is in the center of the atom and contains positively charged particles called protons and neutral (uncharged) particles called neutrons. The second, much larger, region of the atom is a ―cloud‖ of electrons, negatively charged particles that orbit around the nucleus. The attraction between the positively charged protons and negatively charged electrons holds the atom together. Most atoms contain all three of these types of subatomic particles (protons, electrons, and neutrons), although hydrogen (H) is an exception because it typically has one proton and one electron, but no neutrons. The number of protons in the nucleus determines what element an atom is, while the number of electrons surrounding the nucleus determines what kind of reactions the atom will undergo. The three types of subatomic particles are illustrated below for an atom of helium (which, by definition, contains two protons). 24 Structure of an atom. The protons (+ charge) and neutrons (neutral charge) are found together in the tiny nucleus at the center of the atom. The electrons (- charge) occupy a large, spherical cloud surrounding the nucleus. The atom shown is this particular image is helium, with two protons, two neutrons, and two electrons. Protons and neutrons do not have the same charge, but they do have approximately the same mass, about 1.67 × 10-24. Since grams are not a very convenient unit for measuring masses that tiny, scientists chose to define an alternative measure, the dalton or atomic mass unit (amu). A single neutron or proton has a weight very close to 1 amu. Electrons are much smaller in mass than protons, only about 1/1800 of an atomic mass unit, so they do not contribute much to an element‘s overall atomic mass. On the other hand, electrons do greatly affect the atom‘s charge, as each electron has a negative charge equal to the positive charge of a proton. In uncharged, neutral atoms, the number of electrons orbiting the nucleus is equal to the number of protons inside the nucleus. The positive and negative charges cancel out, leading to an atom with no net charge. Protons, neutrons, and electrons are very small, and most of the volume of an atom—greater than 99 percent—is actually empty space. With all this empty space, you might ask why so-called solid objects don‘t just pass through one another. The answer is that the negatively charged electron clouds of the atoms will repel each other if they get too close together, resulting in our perception of solidity 25 The nucleus The nucleus is at the center of the atom and contains the protons and neutrons. Protons and neutrons are collectively known as nucleons. Virtually all the mass of the atom is concentrated in the nucleus, because the electrons weigh so little. Working out the numbers of protons and neutrons No of protons = ATOMIC NUMBER of the atom The atomic number is also given the more descriptive name of proton number. No of protons + no of neutrons = MASS NUMBER of the atom The mass number is also called the nucleon number. This information can be given simply in the form: How many protons and neutrons has this atom got? The atomic number counts the number of protons (9); the mass number counts protons + neutrons (19). If there are 9 protons, there must be 10 neutrons for the total to add up to 19. The atomic number is tied to the position of the element in the Periodic Table and therefore the number of protons defines what sort of element you are talking about. So if an atom has 8 protons (atomic number = 8), it must be oxygen. If an atom has 12 protons (atomic number = 12), it must be magnesium. Similarly, every chlorine atom (atomic number = 17) has 17 protons; every uranium atom (atomic number = 92) has 92 protons. Isotopes The number of neutrons in an atom can vary within small limits. For example, there are three kinds of carbon atom 12C, 13C and14C. They all have the same number of protons, but the number of neutrons varies. 26 carbon-12 carbon-13 carbon-14 protons 6 6 6 neutrons 6 7 8 mass number 12 13 14 These different atoms of carbon are called isotopes. The fact that they have varying numbers of neutrons makes no difference whatsoever to the chemical reactions of the carbon. Isotopes are atoms which have the same atomic number but different mass numbers. They have the same number of protons but different numbers of neutrons. The electrons Working out the number of electrons Atoms are electrically neutral, and the positiveness of the protons is balanced by the negativeness of the electrons. It follows that in a neutral atom: No of electrons = No of protons So, if an oxygen atom (atomic number = 8) has 8 protons, it must also have 8 electrons; if a chlorine atom (atomic number = 17) has 17 protons, it must also have 17 electrons. The arrangement of the electrons The electrons are found at considerable distances from the nucleus in a series of levels called energy levels. Each energy level can only hold a certain number of electrons. The first level (nearest the nucleus) will only hold 2 electrons, the second holds 8, and the third also seems to be full when it has 8 electrons. e.g. to find the electronic arrangement in chlorine The Periodic Table gives you the atomic number of 17. Therefore there are 17 protons and 17 electrons. The arrangement of the electrons will be 2, 8, 7 (i.e. 2 in the first level, 8 in the second, and 7 in the third). Main types of chemical bonds: 27 Materials science encompasses various classes of materials; materials are sometimes classified by the type of bonding present between the atoms : Ionic bonding Covalent bonding Metallic bonding A chemical bond is an attraction between atoms. This attraction may be seen as the result of different behaviors of the outermost or valence electrons of atoms. Although all of these behaviors merge into each other seamlessly in various bonding situations so that there is no clear line to be drawn between them, the behaviors of atoms become so qualitatively different as the character of the bond changes quantitatively, that it remains useful and customary to differentiate between the bonds that cause these different properties of condensed matter. In the simplest view of a so-called 'covalent' bond, one or more electrons (often a pair of electrons) are drawn into the space between the two atomic nuclei. Here the negatively charged electrons are attracted to the positive charges of both nuclei, instead of just their own. This overcomes the repulsion between the two positively charged nuclei of the two atoms, and so this overwhelming attraction holds the two nuclei in a fixed configuration of equilibrium, even though they will still vibrate at equilibrium position. Thus, covalent bonding involves sharing of electrons in which the positively charged nuclei of two or more atoms simultaneously attract the negatively charged electrons that are being shared between them. These bonds exist between two particular identifiable atoms and have a direction in space, allowing them to be shown as single connecting lines between atoms in drawings, or modeled as sticks between spheres in models. In a polar covalent bond, one or more electrons are unequally shared between two nuclei. Covalent bonds often result in the formation of small collections of better-connected atoms called molecules, which in solids and liquids are bound to other molecules by forces that are often much weaker than the covalent bonds that hold the molecules internally together. Such weak intermolecular bonds give 28 organic molecular substances, such as waxes and oils, their soft bulk character, and their low melting points (in liquids, molecules must cease most structured or oriented contact with each other). When covalent bonds link long chains of atoms in large molecules, however (as in polymers such as nylon), or when covalent bonds extend in networks through solids that are not composed of discrete molecules (such as diamond or quartz or the silicate minerals in many types of rock) then the structures that result may be both strong and tough, at least in the direction oriented correctly with networks of covalent bonds. Also, the melting points of such covalent polymers and networks increase greatly. In a simplified view of an ionic bond, the bonding electron is not shared at all, but transferred. In this type of bond, the outer atomic orbital of one atom has a vacancy which allows the addition of one or more electrons. These newly added electrons potentially occupy a lower energy-state (effectively closer to more nuclear charge) than they experience in a different atom. Thus, one nucleus offers a more tightly bound position to an electron than does another nucleus, with the result that one atom may transfer an electron to the other. This transfer causes one atom to assume a net positive charge, and the other to assume a net negative charge. The bond then results from electrostatic attraction between atoms and the atoms become positive or negatively charged ions. Ionic bonds may be seen as extreme examples of polarization in covalent bonds. Often, such bonds have no particular orientation in space, since they result from equal electrostatic attraction of each ion to all ions around them. Ionic bonds are strong (and thus ionic substances require high temperatures to melt) but also brittle, since the forces between ions are short-range and do not easily bridge cracks and fractures. This type of bond gives rise to the physical characteristics of crystals of classic mineral salts, such as table salt. A less often mentioned type of bonding is metallic bonding. In this type of bonding, each atom in a metal donates one or more electrons to a "sea" of electrons that reside between many metal atoms. In this sea, each electron is free (by virtue of its wave nature) to be associated with great many atoms at once. The bond results because the metal atoms become somewhat positively charged due to loss of their electrons while the electrons remain attracted to many atoms, 29 without being part of any given atom. Metallic bonding may be seen as an extreme example of delocalization of electrons over a large system of covalent bonds, in which every atom participates. This type of bonding is often very strong (resulting in the tensile strength of metals). However, metallic bonding is more collective in nature than other types, and so they allow metal crystals to more easily deform, because they are composed of atoms attracted to each other, but not in any particularly-oriented ways. This results in the malleability of metals. The sea of electrons in metallic bonding causes the characteristically good electrical and thermal conductivity of metals, and also their "shiny" reflection of most frequencies of white light. Ionic bonding is a type of electrostatic interaction between atoms which have a large electronegativity difference. There is no precise value that distinguishes ionic from covalent bonding, but a difference of electronegativity of over 1.7 is likely to be ionic, and a difference of less than 1.7 is likely to be covalent.[5] Ionic bonding leads to separate positive and negative ions. Ionic charges are commonly between −3e to +3e. Ionic bonding commonly occurs in metal salts such as sodium chloride (table salt). A typical feature of ionic bonds is that the species form into ionic crystals, in which no ion is specifically paired with any single other ion, in a specific directional bond. Rather, each species of ion is surrounded by ions of the opposite charge, and the spacing between it and each of the oppositely charged ions near it, is the same for all surrounding atoms of the same type. It is thus no longer possible to associate an ion with any specific other single ionized atom near it. This is a situation unlike that in covalent crystals, where covalent bonds between specific atoms are still discernible from the shorter distances between them, as measured via such techniques as X-ray diffraction. Ionic crystals may contain a mixture of covalent and ionic species, as for example salts of complex acids, such as sodium cyanide, NaCN. Many minerals are of this type. X-ray diffraction shows that in NaCN, for example, the bonds between sodium cations (Na+) and the cyanide anions (CN−) are ionic, with no sodium ion associated with any particular cyanide. However, the bonds between C and N atoms in cyanide are of the covalent type, making each of the carbon and 31 nitrogen associated with just one of its opposite type, to which it is physically much closer than it is to other carbons or nitrogens in a sodium cyanide crystal. When such crystals are melted into liquids, the ionic bonds are broken first because they are non-directional and allow the charged species to move freely. Similarly, when such salts dissolve into water, the ionic bonds are typically broken by the interaction with water, but the covalent bonds continue to hold. For example, in solution, the cyanide ions, still bound together as single CN− ions, move independently through the solution, as do sodium ions, as Na+. In water, charged ions move apart because each of them are more strongly attracted to a number of water molecules, than to each other. The attraction between ions and water molecules in such solutions is due to a type of weak dipole-dipole type chemical bond. In melted ionic compounds, the ions continue to be attracted to each other, but not in any ordered or crystalline way. Covalent bonding is a common type of bonding, in which the electronegativity difference between the bonded atoms is small or nonexistent. Bonds within most organic compounds are described as covalent. See sigma bonds and pi bonds for LCAO-description of such bonding. A polar covalent bond is a covalent bond with a significant ionic character. This means that the electrons are closer to one of the atoms than the other, creating an imbalance of charge. They occur as a bond between two atoms with moderately different electronegativities and give rise to dipole-dipole interactions. The electronegativity of these bonds is 0.3 to 1.7. A coordinate covalent bond is one where both bonding electrons are from one of the atoms involved in the bond. These bonds give rise to Lewis acids and bases. The electrons are shared roughly equally between the atoms in contrast to ionic bonding. Such bonding occurs in molecules such as the ammonium ion (NH4+) and are shown by an arrow pointing to the Lewis acid. Also known as non-polar covalent bond, the electronegativity of these bonds range from 0 to 0.3. 31 Molecules which are formed primarily from non-polar covalent bonds are often immiscible in water or other polar solvents, but much more soluble in non-polar solvents such as hexane. In metallic bonding, bonding electrons are delocalized over a lattice of atoms. By contrast, in ionic compounds, the locations of the binding electrons and their charges are static. The freely-moving or delocalization of bonding electrons leads to classical metallic properties such as luster (surface light reflectivity), electrical and thermal conductivity, ductility, and high tensile strength. Elements, compounds and chemical equations All matter is made of atoms. There are over a hundred different types of atom, called elements, and each one has a symbol. The atoms of a particular element are identical to each other. When atoms of different elements join together they make a compound. Compounds are represented by formulae that show how many atoms of each element are in the compound. Formulae can be worked out from the charge of the ions that make up the compound. Chemical reactions can be written down as balanced chemical equations. Elements and compounds All matter is made from atoms. Atoms are very, very small. A molecule is formed when atoms join together by chemical bonds. There are over a hundred different types of atom, called elements. The atoms of a particular element are identical to each other. They cannot be changed chemically into any different element. For example a piece of pure sulfur consists only of sulfur atoms. No chemical process can break it down into a different substance. Compounds are substances that contain atoms of at least two elements chemically combined. For example: magnesium oxide consists of magnesium atoms and oxygen atoms chemically bonded together. Examples of compounds and elements 32 Substance Types of atom chemically combined So it is... hydrogen hydrogen an element sodium chloride sodium and chlorine a compound carbon carbon an element carbon dioxide carbon and oxygen a compound Notice how the name sometimes suggests whether a substance is an element or a compound. If you can see the names of two or more elements it's almost certainly a compound but beware – many substances with only one name are actually compounds – water and methane for example. Symbols and formulae Elements are represented by one or two letters. The first letter is always a capital and the second is always lower case. Formulae Compounds are represented by formulae. Symbols and numbers show Element Symbol Oxygen O Sodium Na Carbon C Zinc Zn the atoms in the compound. For example: ZnCO3 is the formula of zinc carbonate. One zinc atom (Zn) and one carbon atom (C) are chemically bonded with three oxygen atoms (O3). Notice that we don't need to write a 1 next to the Zn or C. Equations When the atoms in elements or compounds rearrange themselves to form new substances it's called a chemical reaction. The atoms are rearranged but no atoms are lost or made. Chemical reactions are written down as chemical equations. All substances are made from atoms. Each atom is made of a nucleus containing protons and neutrons - surrounded by electrons. The atomic number is the number of protons in an atom. The elements are arranged in the Periodic Table in ascending order of atomic number. 33 The mass number of an atom is the total of protons plus neutrons. Atoms of the same element with different numbers of neutrons (and hence different mass numbers) are called isotopes of that element. Atomic structure All material things are made from atoms. There are just over one hundred different types of atom, called elements. Atoms can join together in millions of different combinations to make all the substances on Earth and beyond. Structure of the atom Every atom is made of a nucleus consisting of protons and neutrons. The nucleus is surrounded by electrons. Protons and electrons are oppositely charged. Neutrons have no charge. This means the nucleus of an atom is always positively charged. An atom has a neutral overall charge because it has the same number of electrons as protons. Protons and neutrons have the same mass. Electrons have such a small mass that this can usually be taken as zero. Comparing the charge and mass of electrons, protons and neutrons Proton Neutron Electron Charge +1 0 -1 Mass 1 1 0.0005 (almost zero) The atomic number (also called the proton number) is the number of protons in an atom. The mass number (also called the nucleon number) is the total number of protons and neutrons in an atom. 34 The elements are arranged in the Periodic Table in ascending order of atomic number so it's easy to find the name or symbol for an atom if you know the atomic number. Section of the periodic table showing elements ascending by atomic number This zinc ion has a mass number of 65, an atomic number of 30 The number of protons in an atom is the same as the atomic number. The number of neutrons is the mass number minus the atomic number. Ionic bonding occurs between positive and negative ions, which attract each other and bind together to form ionic compounds. For example, sodium chloride consists of Na+ ions and Cl- ions bound together. Each ion is surrounded by oppositely charged ions held in place by electrostatic attraction and forming an ionic crystal lattice. The ions in a crystal lattice are very strongly bonded - a high temperature is required to melt the crystal. There are several ways in which atoms chemically combine together to make compounds. One of these ways is called ionic bonding. Atoms turn into ions when they lose or gain electrons. Metal ions In some circumstances metal atoms may lose electrons. The atom then has more protons than electrons and so it will be positively charged, a positive ion. Example: A magnesium atom may lose two electrons and become a Mg2+ ion. Non-metal ions Non-metal atoms may gain electrons and become negatively charged. Example: An oxygen atom may gain two electrons and become an O2- ion. 35 Positive and negative ions attract one another and bind together forming a new substance. This is called ionic bonding. For example: Sodium chloride consists of Na+ ions and Cl- ions bound together. Magnesium oxide consists of Mg2+ ions and O2- ions bound together. Ionic compounds like magnesium oxide and sodium chloride have high melting points and do not conduct electricity when solid. They do conduct electricity when molten. Sodium chloride is soluble in water and the solution conducts electricity. The formation of ionic compounds is often shown with dot and cross models. For example, a sodium atom loses one electron from its outer shell to become a positively charged sodium ion. It can be represented in a diagram like this: A sodium atom and a sodium ion On the other hand an oxygen atom gains two electrons in its outer shell to become a negatively charged oxygen ion: 36 An oxygen atom and an oxide ion Notice how atoms gain or lose just the right number of electrons to produce an ion with a complete outer shell of electrons. This is sometimes called a stable octet. The positive and negative ions attract each other and form an ionic bond. We can draw these using dots for one atom and crosses for the other atom. This is called a dot and cross diagram. Ionic lattice Each ion is surrounded by oppositely charged ions held in place by electrostatic attraction and forming an ionic crystal lattice. The number of ions in an ionic compound is such that the overall charge of a sample of the compound is zero. 37 Example Magnesium chloride consists of Mg2+ and Cl - ions. Twice as many chloride ions as magnesium ions are needed to make the substance neutral. The formula of magnesium chloride is MgCl2. The ions in a crystal lattice are very strongly bonded together so a high temperature is required to separate the particles and melt the crystal. The ions are held strongly in position so they cannot move and carry an electric current. If an ionic compound is melted or dissolved in water the ions are then free to move and so the substance can be electrolysed. A covalent bond is formed between non metal atoms, which combine together by sharing electrons. Covalent compounds have no free electrons and no ions so they don't conduct electricity. The Periodic Table is an arrangement of the elements in order of atomic number. Elements in the same vertical column are in the same group or family and have similar chemical properties. Covalent bonding Non metals combine together by sharing electrons. The shared pair of electrons holds the two atoms together. It's called a covalent bond. The group of atoms bonded together in this way is called a molecule. The types and numbers of atoms in a molecule are shown in its formula. Examples of covalent molecules Name Structure Hydrogen (H2) 38 Model Name Structure Model Water (H2O) Ammonia (NH3) Methane (CH4) Covalent compounds are usually gases or liquids with low melting points or boiling points and they don't conduct electricity. Example: Carbon dioxide is a gas with a boiling point of -44°C. It doesn't conduct electricity. Water is a liquid with a melting point of 0°C. It doesn't conduct electricity. Dot and cross models show how a pair of electrons forms a covalent bond. Notice that in the diagrams in the table below only the electrons in the outer shell of each atom are shown. Examples of dot and cross models Molecule Dot and cross model Hydrogen (H2) 39 Molecule Dot and cross model Chlorine (Cl2) Methane (CH4) Water (H2O) Carbon dioxide (CO2) A molecule of carbon dioxide Low melting and boiling points The covalent bonds binding the atoms together are very strong but there are only very weak forces holding the molecules to each other (the intermolecular forces). Therefore, only a low temperature is needed to separate the molecules when they're melted or boiled. Non-conductors Covalent compounds have no free electrons and no ions so they don't conduct electricity. 41 Metal structures and their properties The physical properties of different metals make them useful for different purposes. For example, aluminium conducts heat, which makes it a useful material for making saucepans and gold is shiny, which makes it an attractive material for jewellery. Metal particles are held together by strong metallic bonds, which is why they have high melting and boiling points. The loose electrons in metals can all move together through the metal – creating an electric current. Properties of metals The physical properties of metals Metal Property Use Aluminium Heat conductor Make saucepans Copper Electrical conductor Make electric wiring Gold Lustrous (shiny) Make jewellery Lead Dense To add weight when scuba diving Platinum High melting and boiling point Electrodes of spark plugs Steel Tungsten High tensile strength Strong Hard Make ropes for anchoring an oil rig Make bridges, buildings and cars Make drill bits Metallic bonding The particles in a metal are held together by strong metallic bonds. It takes a lot of energy to separate the particles. That is why they have high melting points and boiling points. Solid metals are crystalline - the particles are close together and in a regular arrangement. 41 Metals have loose electrons in the outer shells which form a ‗sea‘ of delocalised negative charge around the close-packed positive ions. There are strong electrostatic forces holding the particles together. Conductivity Maglev trains are held just above the tracks by powerful superconducting electromagnets. The loose electrons in metals can all move together through the metal – an electric current. At very low temperatures some metals conduct electricity very easily indeed. They have little or no resistance and so enormous currents can be produced without using large amounts of energy. They're called superconductors. In the future, the low resistance of superconductors may allow transmission of electricity without losing energy as heat on the way. Superconductors may be used to make super-fast electronic circuits so that computers will work even faster. The very high electric currents possible in superconducting wires mean that very powerful electromagnets can be made. These are used in MRI scanners – a noninvasive system for investigating the workings of the living body. At present superconductors only work at very low temperatures so they have to be kept very cold with liquid nitrogen and liquid helium. A lot of work is going into developing superconductors that will work at normal temperatures. Properties of metals? 42 The versatility of metals attests to the very wide range of properties of the more than 70 metals on the periodic table. A description of all of these properties and the applications in which they are used is well beyond the scope of this section. The following therefore provides an introduction to some of the more prominent properties Chemical Properties: Metals combine with other metals and some non-metallic elements to form a vast number of alloys that enhance the properties of metals in specific applications, e.g., the combination of iron, nickel and chromium provides a series of stainless steel alloys that are in common use. Metals such as nickel, vanadium, molybdenum, cobalt, rare earths and the platinum group metals enable the catalytic reactions for the synthesis of many organic chemicals from petroleum. A wide variety of metal compounds and salts impart beneficial properties to products like plastics in terms of colour, brightness, flame resistance and resistance to degradation. Photography has been made possible by the effect of light on metal salts. Mechanical Properties: The properties of strength and ductility enable the extensive use of metals in structures and machinery. Metals and alloys exhibit ductility, malleability and the ability to be deformed plastically (that is, without breaking), making them easy to shape into beams (steel beams for construction), extrusions (aluminum frames for doors and windows), coins, metal cans and a variety of fasteners (nails and paper-clips). The strength of metals under pressure (compression), stretching (tensile) and sheer forces makes them ideal for structural purposes in buildings, automobiles, aircraft frames, gas pipelines, bridges, cables, and some sports equipment. Conductivity: Metals are excellent conductors of both heat and electricity. In general, conductivity increases with decreasing temperature, so that, at absolute zero (273°C), conductivity is infinite; in other words, metals become superconductors. Thermal conductivity is harnessed in automobile radiators and cooking utensils. Electrical conductivity provides society with the ability to transmit electricity 43 over long distances to provide lights and power in cities remote from electrical generating stations. The circuitry in household appliances, television sets and computers relies on electrical conductivity. Resistance to Wear, Corrosion, Fatigue and Temperature: Metals are hard and durable. They are used in applications sensitive to corrosion such as chemical plants, food preparation, medical applications, plumbing and lead in storage batteries. Wear resistance is critical in bearings for all modes of transportation and in machine tools. Fatigue resistance - the ability to resist breaking after repeated deformation such as bending - enables the use of metals in springs, levers and gears. Temperature resistance makes metals suitable for jet engines and filaments in light-bulbs. Optical Characteristics: Metals are uniformly lustrous and, except for copper and gold, are silvery or greyish. This is because all metals absorb light at all frequencies and immediately radiate it. Metals impart mirrors with their reflective surface. The lustre of metals gives them the attractive appearance that is so important in jewellery and coins. (Interestingly, metals also provide the intangible, distinctive "metallic ring" that is associated with coins.) Magnetic Properties: Ferromagnetism is exhibited by iron and several other metals. In addition, other metals and alloys can be magnetized in an electrical field to exhibit paramagnetism. Magnetic properties are employed in electric motors, generators, and speaker systems for audio equipment. Emission Properties: Metals emit electrons when exposed to radiation (e.g. light) of a short wavelength or when heated to sufficiently high temperatures. These phenomena are exploited in television screens, using rare earth oxides and in a variety of electronic devices and instruments. Conversely, the ability of metals such as lead to absorb radiation is employed in shielding, for example in the apron provided by dentists during an X-ray examination. Crystal structure In mineralogy and crystallography, a crystal structure is a unique arrangement of atoms, ions or molecules in a crystalline liquid or solid.[3] It describes a highly ordered structure, occurring due to the intrinsic nature of its constituents to form symmetric patterns. 44 The box can be thought of as an array of 'small boxes' infinitely repeating in all three spatial directions. Such a unit cell is the smallest unit of volume that contains all of the structural and symmetry information to build-up the macroscopic structure of the lattice by translation. Patterns are located upon the points of a lattice, which is an array of points repeating periodically in three dimensions. The lengths of the edges of a unit cell and the angles between them are called the lattice parameters. The symmetry properties of the crystal are embodied in its space group. A crystal's structure and symmetry play a role in determining many of its physical properties, such as cleavage, electronic band structure, and optical transparency. Unit cell The crystal structure of a material (the arrangement of atoms within a given type of crystal) can be described in terms of its unit cell. The unit cell is a small box containing one or more atoms arranged in 3-dimensions. The unit cells stacked in three-dimensional space describe the bulk arrangement of atoms of the crystal. The unit cell is represented in terms of its lattice parameters, which are the lengths of the cell edges (a,b and c) and the angles between them (alpha, beta and gamma), while the positions of the atoms inside the unit cell are described by the set of atomic positions (xi , yi , zi) measured from a lattice point. Commonly, atomic positions are represented in terms of fractional coordinates, relative to the unit cell lengths. Simple cubic (P) Body-centered cubic (I) 45 Face-centered cubic (F) The atom positions within the unit cell can be calculated through application of symmetry operations to the asymmetric unit. The asymmetric unit refers to the smallest possible occupation of space within the unit cell. This does not, however imply that the entirety of the asymmetric unit must lie within the boundaries of the unit cell. Symmetric transformations of atom positions are calculated from the space group of the crystal structure, and this is usually a black box operation performed by computer programs. The crystallographic directions are geometric lines linking nodes (atoms, ions or molecules) of a crystal. Likewise, the crystallographic planes are geometric planes linking nodes. Some directions and planes have a higher density of nodes. These high density planes have an influence on the behavior of the crystal as follows:[3] Optical properties: Refractive index is directly related to density (or periodic density fluctuations). Adsorption and reactivity: Physical adsorption and chemical reactions occur at or near surface atoms or molecules. These phenomena are thus sensitive to the density of nodes. Surface tension: The condensation of a material means that the atoms, ions or molecules are more stable if they are surrounded by other similar species. The surface tension of an interface thus varies according to the density on the surface. Grain boundaries Grain boundaries are interfaces where crystals of different orientations meet. A grain boundary is a single-phase interface, with crystals on each side of the boundary being identical except in orientation. The term "crystallite boundary" is sometimes, though rarely, used. Grain boundary areas contain those atoms 46 that have been perturbed from their original lattice sites, dislocations, and impurities that have migrated to the lower energy grain boundary. Treating a grain boundary geometrically as an interface of a single crystal cut into two parts, one of which is rotated, we see that there are five variables required to define a grain boundary. The first two numbers come from the unit vector that specifies a rotation axis. The third number designates the angle of rotation of the grain. The final two numbers specify the plane of the grain boundary (or a unit vector that is normal to this plane). Grain boundaries disrupt the motion of dislocations through a material, so reducing crystallite size is a common way to improve strength, as described by the Hall–Petch relationship. Since grain boundaries are defects in the crystal structure they tend to decrease the electrical and thermal conductivity of the material. The high interfacial energy and relatively weak bonding in most grain boundaries often makes them preferred sites for the onset of corrosion and for the precipitation of new phases from the solid. They are also important to many of the mechanisms of creep. Grain boundaries are in general only a few nanometers wide. In common materials, crystallites are large enough that grain boundaries account for a small fraction of the material. However, very small grain sizes are achievable. In nanocrystalline solids, grain boundaries become a significant volume fraction of the material, with profound effects on such properties as diffusion and plasticity. In the limit of small crystallites, as the volume fraction of grain boundaries approaches 100%, the material ceases to have any crystalline character, and thus becomes an amorphous solid. Defects and impurities Real crystals feature defects or irregularities in the ideal arrangements described above and it is these defects that critically determine many of the electrical and mechanical properties of real materials. When one atom substitutes for one of the principal atomic components within the crystal structure, alteration in the electrical and thermal properties of the material may ensue. Impurities may also manifest as spin impurities in certain materials. Research on magnetic impurities 47 demonstrates that substantial alteration of certain properties such as specific heat may be affected by small concentrations of an impurity, as for example impurities in semiconducting ferromagnetic alloys may lead to different properties as first predicted in the late 1960s. Dislocations in the crystal lattice allow shear at lower stress than that needed for a perfect crystal structure. The Bravais lattice is the basic building block from which all crystals can be constructed. The concept originated as a topological problem of finding the number of different ways to arrange points in space where each point would have an identical ―atmosphere‖. That is each point would be surrounded by an identical set of points as any other point, so that all points would be indistinguishable from each other. Mathematician Auguste Bravais discovered that there were 14 different collections of the groups of points, which are known as Bravais lattices. These lattices fall into seven different "crystal systems‖, as differentiated by the relationship between the angles between sides of the ―unit cell‖ and the distance between points in the unit cell. The unit cell is the smallest group of atoms, ions or molecules that, when repeated at regular intervals in three dimensions, will produce the lattice of a crystal system. The ―lattice parameter‖ is the length between two points on the corners of a unit cell. Each of the various lattice parameters are designated by the letters a, b, and c. If two sides are equal, such as in a tetragonal lattice, then the lengths of the two lattice parameters are designated a and c, with b omitted. The angles are designated by the Greek letters α, β, and γ , such that an angle with a specific Greek letter is not subtended by the axis with its Roman equivalent. For example, α is the included angle between the b and c axis. Table shows the various crystal systems, while Figure shows the 14 Bravais lattices. It is important to distinguish the characteristics of each of the individual systems. An example of a material that takes on each of the Bravais lattices is shown in Table. 48 Geometrical characteristics of the seven crystal systems. System Axial lengths and angles Unit cell geometry cubic a = b = c, α = β = γ = 90° tetragonal a = b ≠ c, α = β = γ = 90° orthorhombic a ≠ b ≠ c, α = β = γ = 90° rhombohedrala = b = c, α = β = γ ≠ 90° hexagonal a = b ≠ c, α = β = 90°, γ = 120° monoclinic a ≠ b ≠ c, α = γ = 90°, β ≠ 90° triclinic a ≠ b ≠ c, α ≠ β ≠ γ 49 Examples of elements and compounds that adopt each of the crystal systems. Crystal system Example triclinic K2S2O8 monoclinic As4S4, KNO2 rhombohedral Hg, Sb hexagonal Zn, Co, NiAs orthorhombic Ga, Fe3C tetragonal In, TiO2 cubic Au, Si, NaCl The cubic lattice is the most symmetrical of the systems. All the angles are equal to 90°, and all the sides are of the same length (a = b = c). Only the length of one of the sides (a) is required to describe this system completely. In addition to simple cubic, the cubic lattice also includes body-centered cubic and facecentered cubic (Figure). Body-centered cubic results from the presence of an atom (or ion) in the center of a cube, in addition to the atoms (ions) positioned at 51 the vertices of the cube. In a similar manner, a face-centered cubic requires, in addition to the atoms (ions) positioned at the vertices of the cube, the presence of atoms (ions) in the center of each of the cubes face. The tetragonal lattice has all of its angles equal to 90°, and has two out of the three sides of equal length (a = b). The system also includes body-centered tetragonal (Figure). In an orthorhombic lattice all of the angles are equal to 90°, while all of its sides are of unequal length. The system needs only to be described by three lattice parameters. This system also includes body-centered orthorhombic, basecentered orthorhombic, and face-centered orthorhombic (Figure). A basecentered lattice has, in addition to the atoms (ions) positioned at the vertices of the orthorhombic lattice, atoms (ions) positioned on just two opposing faces. The rhombohedral lattice is also known as trigonal, and has no angles equal to 90°, but all sides are of equal length (a = b = c), thus requiring only by one lattice parameter, and all three angles are equal (α = β = γ ). A hexagonal crystal structure has two angles equal to 90°, with the other angle ( γ ) equal to 120°. For this to happen, the two sides surrounding the 120° angle must be equal (a = b), while the third side (c) is at 90° to the other sides and can be of any length. The monoclinic lattice has no sides of equal length, but two of the angles are equal to 90°, with the other angle (usually defined as β) being something other than 90°. It is a tilted parallelogram prism with rectangular bases. This system also includes base-centered monoclinic (Figure). In the triclinic lattice none of the sides of the unit cell are equal, and none of the angles within the unit cell are equal to 90°. The triclinic lattice is chosen such that all the internal angles are either acute or obtuse. This crystal system has the lowest symmetry and must be described by 3 lattice parameters (a, b, and c) and the 3 angles (α, β, and γ ). 51 Crystalline Defect Types of Defects Point defects (composition) • Vacancies (missing atoms) • Interstitials (extra atoms) • Impurities (unwelcome segregation) Extensive chemical changes - Solid solutions - Not a defect in intentional alloying or doping o Line defects (1-dimensional) (Deformation) • Dislocations in metals Interfacial defects (2-dimensional) (Properties) - surfaces - both interior (pore walls) and exterior (surface of material) interfaces -(grain boundaries) Bulk-Volume defects (3-dimensional) - cracks, foreign inclusions, other phases (including pores). Point Defects in Metals Vacancy: An empty atomic site Interstitial : An atom somewhere other than an atomic site - Self-interstitial - Impurity interstitial Substitutional impurity: Some ―foreign‖ species on an atomic site Line Defects: Dislocation in Metals -Linear (one dimensional) defect around which some of the atoms are misaligned Responsible for large mechanical deformation in crystalline solids Types of Dislocations Edge Dislocation: A portion of an extra plane of atoms - Screw Dislocation: Helical atomic displacement around a line extending through the crystal Mixed Dislocation: Some edge, some screw nature Edge Dislocation, Screw Dislocation Mixed Dislocation 52 Mechanical Properties of Metals Often materials are subject to external force when they are used. Mechanical Engineers calculate those forces and material scientists how materials deform or break as a function of force, time, temperature, and other conditions. Materials scientists learn about these mechanical properties by testing materials. Some of the important mechanical properties of a metals are Brittleness, Creep, Ductility, Elasticity, Fatigue, Hardness, Malleability, Plasticity, Resilience, Stiffness, Toughness, Yield strength. Above mechanical properties of metals are explained below in brief. Brittleness: Tendency of a material to fracture or fail upon the application of a relatively small amount of force, impact or shock. Creep: When a metal is subjected to a constant force at high temperature below its yield point, for a prolonged period of time, it undergoes a permanent deformation. Ductility: Ductility is the property by which a metal can be drawn into thin wires. It is determined by percentage elongation and percentage reduction in area of a metal. Elasticity: Elasticity is the tendency of solid materials to return to their original shape after being deformed. Fatigue: Fatigue is the of material weakening or breakdown of material subjected to stress, especially a repeated series of stresses. 53 Hardness: Hardness is the ability of a material to resist permanent change of shape caused by an external force. Malleability: Malleability is the property by which a metal can be rolled into thin sheets. Plasticity: Plasticity is the property by which a metal retains its deformation permanently, when the external force applied on it is released. Resilience: Resilience is the ability of a metal to absorb energy and resist soft and impact load. Stiffness: When an external force is applied on a metal, it develops an internal resistance. The internal resistance developed per unit area is called stress. Stiffness is the ability of a metal to resist deformation under stress. Toughness: When a huge external force is applied on a metal, the metal will experience fracture. Toughness is the ability of a metal to resist fracture. Yield strength: The ability of a metal to bear gradual progressive force without permanent deformation. 54 How do metals respond to external loads? Stress and Strain Tension Compression Shear Torsion Elastic deformation Plastic Deformation Yield Strength Tensile Strength Ductility Toughness Hardness To understand and describe how materials deform (elongate, compress, twist) or break as a function of applied load, time, temperature, and other conditions we need first to discuss standard test methods and standard language for mechanical properties of materials. To understand and describe how materials deform (elongate, compress, twist) or break as a function of applied load, time, temperature, and other conditions we need first to discuss standard test methods and standard language for mechanical properties of materials. 55 Types of Loading Tension Compression Torsion Shear 56 Concepts of Stress and Strain (Tension and compression) To compare specimens of different sizes, the load is calculated per unit area. Stress: F is load applied perpendicular to speciment crosssection; A is cross sectional area (perpendicular to the force) before application of the load. Strain: Δl is change in length, lo is the original length . These definitions of stress and strain allow one to compare test results for specimens of different cross sectional area A0 and of different length l0. Stress and strain are positive for tensile loads, negative for compressive loads. Concepts of Stress and Strain (Shear and torsion) Shear stress: τ = F / Ao F is load applied parallel to the upper and lower faces each of which has an area A0 = the shear stress; = the force applied; = the cross-sectional area of material with area parallel to the applied force vector. Torsion is variation of pure shear. The shear stress in this case is a function of applied torque T, shear strain is related to the angle of twist, φ. 57 Stress-Strain Behavior Elastic deformation Reversible: when the stress is removed, the material returns to the dimensions it had before the loading. Usually strains are small (except for the case of some plastics, e.g. rubber). Plastic deformation Irreversible: when the stress is removed, the material does not return to its original dimensions. To compare specimens of different sizes, the load is calculated per unit area also called normalized to the area . force divided by area is called stress In tension and compression tests, the relevant area is that perpendicular to the force In shear or torsion tests, the area is perpendicular to the axis of rotation S= F/ A tensile or compressive stress T = F/ A shear stress 58 There is a change in dimensions , or deformation elongation , DL as a result of tensile or compressive stress . to enable comparison with specimens of different length, the elongation is also normalized , this time to the length L this is called strain. e= DL / L the change in dimensions is the reason we use A0 to indicate the initial area since it changes during deformations. One could divide force by the actual area this is called true stress. Stress strain behavior Elastic deformation , when the stress is removed the material returns to the dimension it had before the load was applied . valid for small strains ( except the case of rubbers ) Deformation is reversible non-permanent Plastic deformation when the stress is removed the material does not return to its pervious dimension but there is a permanent irreversible deformation. In tensile tests if the deformation is elastic the stress – strain relationship is called hook‘s law S= Ee That‘s E is the slope of the stress – strain curve. E is Young‘s modulus or modulus of elasticity. in some cases the relationship is not linear so that E can be defind alternatively as the local slope E = ds/ de Shear stresses produce strains according to t= G g where G is the shear modulus elastic moduli measure the stiffness of the material. They are related to the second derivative of the interatomic potential, or the first derivative of the force vs internuclear distance . by examination these curves we can tell which material has a higher modulus . due to thermal vibrations the elastic modulus decreases 59 with temperature. E is large for ceramics (stronger ionic bond) and small for polymers (weak covalent bond) 61
© Copyright 2026 Paperzz