Polymeric Materials. Inorganic polymer chemistry

Size: px
Start display at page:

Download "Polymeric Materials. Inorganic polymer chemistry"

Transcription

1 olymeric aterials Year 2 ptio odule Iorgaic polymer chemistry (ED)

2 By the ed of this course you should: earig bjectives i) uderstad the structural ad electroic features of metal complexes that lead to polymerisatio ii) be able to describe the mechaism of metal-catalysed Ziegler-atta ad rig opeig polymerisatios of alkees iii) uderstad the terms atactic, isotactic ad sydiotactic. iv) uderstad basic relatioships betwee polymer ad metallocee complex structure for Ziegler-atta catalysis v) uderstad the possible polymer structures from vi) uderstad the differece betwee eatiomorphic site cotrol ad chai ed cotrol for stereospecific polymerisatio. vii) uderstad the structures of commo iorgaic polymers, their preparatio ad applicatios. viii) uderstad the cocept of charge trasfer complexes. vix) describe the key structural ad electroic features of charge trasfer complexes that give rise to magetic behaviour. vx) uderstad how simple coordiatio polymer structures that ca be built from combiatios of metal ios ad orgaic likers vxi) briefly describe uses of coordiatio polymers Bibliography olymers, D. Walto ad. orimer, 2001, xford Chemistry rimers tallocees-a itroductio to sadwich complexes,. J. og, 1998, Blackwell Sciece Advaces i o-tallocee lefi olymerizatio Catalysis, V. C. Gibso ad S. T. Spitzmesser, Chem. ev. 2003, 103, olymer sciece with trasitio metals, I. aers, J. olym. Sci. art A: olym. Chem., 2002, 40, Iorgaic olymers, J. E. ark,.. Allcock ad. West, 1992, retice all. rgaometallic agets J. S. iller ad A. J. Epstei, Coord. Chem. ev., 2000, , tal-orgaic frameworks, S.. James, Chem. Soc. ev., 2003, 32, Egieerig coordiatio polymers towards applicatios, C. Jaiak, Dalto Tras., 2003, elated Courses Trasitio metals (AKDK) year 1 Alkee ad alkyes (JKT) year 1 acromolecules (DKS) year 1 tal-ligad ad metal-metal bodig (ED) year 2 rgaometallic chemistry (J) year 2 Iorgaic reactio mechaisms (SBD) year 2 adicals i sythesis (AF) year 3 Supramolecular chemistry (DKS) year 3 Iorgaic materials chemistry (ED) year 3 Solid state chemistry (KW) year 3 2

3 Itroductio olymers are ubiquitous; from the atural world (DA, proteis, atural rubber, cellulose, silk) to ma made (ylo, polyethylee, polyviylcholride, superglue etc.) tal complexes are of iterest i polymerisatio because: 1. They ca catalyse polymerisatio 2. Cotrol polymer chai legth ad structure 3. olymers cotaiig metals ca have useful properties (magetic, electrical, optical, catalytic) The topics this course will cover 1. The sythesis ad mechaism of orgaic polymers usig metal complex catalysts: Ziegler- atta catalysis: used to prepare polyethylee ad polypropylee. millios of tos a year. ig opeig polymerisatio catalysis: used to prepare desiger fuctioal polymers ad polymers with high mechaical stregth. 2. The sythesis ad applicatios of polymers cotaiig iorgaic atoms: ai group cotaiig polymers: polysiloxaes, polysilaes, polyphosphazees. Trasitio metal cotaiig polymers. 3. rgaic-iorgaic hybrid materials rgaometallic magets tal coordiatio polymers (metal-orgaic frameworks) 3

4 tal Catalysed eactios of Alkees Three mai classes are isomerisatio, polymerisatio (icludig oligomerisatio) ad metathesis. ere alkee polymerisatio ad rig opeig metathesis polymerisatio () will be described. Isomerisatio Drivig force(s) for reactio elative stability of alkees ad etropy tathesis elative stability of alkees ad etropy 4 7 ligomerisatio 3 C-C σ-bod formatio olymerisatio C-C σ-bod formatio ig opeig metathesis polymerisatio () elief of rig-strai 4

5 olymerisatio of alkees I 1955 Zeigler discovered that heterogeeous mixtures of Ti 4 ad AlEt 3 catalysed the polymerisatio of ethee to liear polyethylee at room temperature ad pressure. ater atta subsequetly developed this ad similar systems ad demostrated that propee could be polymerised stereospecifically to isotactic polypropylee. Aside: stereochemistry of polymers is described by the tacticity e.g. of propee Atactic: adjacet stereocetres have radom cofiguratio Isotactic: adjacet stereocetres have same cofiguratio Sydiotactic: adjacet stereocetres have opposite cofiguratio Stereoblock: But usig Ti 4 /AlEt 3 the tacticity is low ad polydispersity is high. 5

6 tallocees I the 1980 s Kamisky showed that early trasitio metal metallocee complexes i homogeeous solutio could polymerise α-alkees stereospecifically i the presece of a methyl alumioxae (A) cocatalyst. Al 3 2 (Al) methylalumioxae (A) = Ti, Zr, f ater Britziger showed that chiral metallocees could rapidly polymerise α- alkees with high stereospecificity (isotactic polymer) ad low polydispersity. 2 Si A = Zr, f asa-bridge metallocee C 2 symmetric Cocatalyst A is made up of a complex mixture of clusters cotaiig (Al) moieties Al Al A serves three key roles 1. Alkylatig aget for the formatio of - complexes 2. ewis base, formig catioic metallocee. (catioic polymerisatio) 3. emoves water from the alkee feedstock. A: catalyst usually about 1000:1 6

7 chaism of alkee polymerisatio Iitiatio A Basic propagatio mechaism (essetially same for metallocees ad Ti 4 /AlEt 3 ) Termiatio steps β- elimiatio 'Al' ' Al ' Chai trasfer The relative rates of iitiatio (k i ), propagatio (k p ) ad termiatio (k t ) determie if polymerisatio occurs ad polymer dispersity. 7

8 Stereospecific olymerisatio 2 Si A Isotactic Sydiotactic polymers Zr A C s symmetric These are examples of eatiomorphic site cotrol where the stereochemistry is determied by the structure of the metal complex. I other polymerisatios the growig polymer ca determie polymer stereochemistry. This is called Chaied cotrol (we will see a example later). 8

9 Why early metal polymerisatio catalysts work 1. Early metal complexes are electrophilic. apid bidig of alkee icreases k p 2. Group 4 complexes are d 0. Back-bodig from metal to alkee is weak lowerig the activatio eergy for isertio, k p ot reduced. 3. For metallocees k p >>> k t leads to every metallocee beig catalytically active So called sigle-site catalysis leads to low polydispersity if k i is > k p ay moomers ca be polymerised by metallocees but they are very sesitive to water (eed lot of A) ad are itolerat to some moomer polar fuctioal groups. Would be good because: But: e.g. ate-metal catalysts 1. ore kietically stable to hydrolysis (stroger -alkyl bod stregth) 2. Would ot eed lots of A (bad for the eviromet) 3. Tolerat to polar moomers 1. ate metals have strog metal-alkee back-bodig 2. Udergo rapid β- elimiatio 3. ate metals are soft ad complexes are ot usually electrophilic. All lead to k p k t. ate metals used i alkee dimerisatio (oligomerisatio). i((h) 3 ) 3 Et 2 Al I 1996 Brookhart reported the polymerisatio of ethee ad α alkees usig ickel ad palladium di-imie complexes ad a little A. CF 3 _ i Et 2 B CF 3 4 (BAr f 4 - ) 9

10 Why late metal polymerisatio catalysts work 1. Imie ligads are hard door ligads ad the complex is charged. BAr f aio is o-coordiatig. All these icrease metal electrophilicity. 2. Bulky -substituets prevet chai trasfer. 3. Chelatig di-imie ligad forces cis-dispositio of vacat site ad growig polymer chai. 4. Ether is a weak ligad ad ca easily be substituted for a alkee to iitiate polymerisatio. I cotrast to group 4 usig i ad d catalysts the polymers are highly brached. ewer Co ad Fe complexes give liear polyethylee. chaism is basically the same except rate of isomerisatio is competitive with rate of propagatio, which leads to brachig. 2 i 2 i 2 i 2 i 2 i 2 i 2 i 2 i Isomerisatio could be very useful for makig polyethylee from propee 2 i 2 i 2 i 2 i etc 2 i 2 i 2 i 2 i 2 i 2 i 2 i 2 i 2 i 10

11 ig peig tathesis olymerisatio () tathesis: the result of exchage, substitutio or exchage of atoms lefi (alkee) metathesis ig opeig metathesis polymerisatio tal alkylidee (carbee) complexes are cetral to all olefi metathesis processes. recatalysts 1 2 Schrock type carbee ( 1 ad 2 are C or ) Ti Ti Goodyear Ar o t Bu u h 3 h 3 h h = t Bu, C(CF 3 ) 2 Schrock Grubbs 11

12 mechaism etc. e.g. The polymers produced are very hard ad have high mechaical stregth. is also a easy method for the cotrolled formatio of fuctioalised ad coductig polymers. F 3 C F 3 C F 3 C F 3 C _ polyacetylee F 3 C CF 3 Also may cyclic diee moomers are used because they form a sigificat compoet of crude oil (i.e. they are cheap). 12

13 CF 3 F 3 C CF 3 Stereochemistry of elative orietatio of alkee ad alkylidee determies stereochemistry A closer look at orboree pposite Cofiguratio tras, isotactic polyorboree Tras isotactic polyorboree is oe of four possible stereoregular polymers. (cis ad tras isotactic ad cis ad tras sydiotactic) Stereochemistry is depedet o catalysts ad/or moomer. Ca get eatiomorphic site or chai ed cotrol. e.g. Chai ed cotrol. Icomig alkee is directed by polymer structure Ar CF 3 t o Bu t Bu t Bu Ar F 3 C tras-isotactic CF 3 t Bu o t Bu F 3 C CF 3 13

14 ode of Ziegler-atta ad Ziegler-atta catalysis ad are both examples of chai growth polymerisatio. Both are also livig. k i, k p >>> k t % coversio 14

15 Iorgaic olymers I additio to polymers that cotai oly carbo or other orgaic atoms i the chai, polymers cotaiig iorgaic atoms ca also be formed. These compouds are of iterest because they offer the opportuity to develop ew techological applicatios due to their reactivity, structure, ad physical properties. ay are ow kow. The most widely developed cotai silico as polysiloxaes ad polysilaes. Aother commo class are the polyphosphazees. Si Si olysiloxaes ost importat iorgaic polymers with regard to commercial applicatios. dical: prosthetics, catheters, cotact leses, drug delivery capsules. o medical: e.g. elastomers, adhesives, lubricats, water repellets, molds, cosmetics. reparatio Si 2 2 Si 2 2 Si ( 2 Si) ig opeig polymersiatio ( 2 Si) 3 or 4 cat. cat. = acid or base 2 Si Chlorie free route 2 Si(Ac) 2 -Ac 2 2 Si DS (polydimethylsiloxae) is the most widely used 15

16 olysilaes The polymer backboe cotais oly silico atoms. A silico chai allows electro delocalisatio of sigma electros. ay uses of polysilaes derive from the electro mobility. ost uses are i the electroics idustry as photoresists ad precursors to silico cotaiig materials. reparatio Two geeral methods Codesatio of dichlorosilaes with alkali metals 'Si 2 a, toluee > 100 o C ( ' Si) roduct distributio idicates radicals are importat itermediates Si Si ' Si Si a Si Si.- a - - Si. Si a Si Si - a ' Si 2 Si Si Si etc. ' ' ' ' ' ' x 2 Si Si Si Si ' ' Dehydrogeative couplig of silaes ' catalyst Si 2 (Si ' ) (-1) 2 Two proposed mechaisms Cp 2 Ti Si 2 Via itermediate silylee - 2 Si 3 Cp 2 Ti Si Cp 2 Ti Si Si 2-2 etc. Cp 2 Ti Si Si 2 16

17 σ-bod metathesis h 2 Si Si 2 h Feedback ito cycle Cp 2 ()Zr Si 3 h Cp 2 ()Zr Si 2 h Cp 2 ()Zr Si 2 h h 2 Si Si 3 h Cp 2 ()Zr Si 2 h 2 roperties σ-electro delocalisatio is preset i polysilaes that cotrasts orgaic polymers (e.g. polyacetylee) that have π-electro delocalisatio. hyscial properties arisig from delocalisatio icludig strog electroic absorptio, coductivity, photocoductivity ad photosesitivity. σ-electro delocalisatio occurs primarily because of the good overlap of Si-Si bods ad lower electroegativity of Si relative to carbo. The electroic descriptio of may atom materials ca be described usig bad theory. You will study bad theory i year 3, however briefly: descriptio of 2 descriptio of E σ* Atibodig E Atibodig σ* Bads icrease overlap σ* coductio bad Badgap σ Bodig Bodig σ e - s e - s σ valece bad 2 may E icreases with greater overlap For coductio to occur a bad must be partially filled. Ca do this by: 1. Addig electros to the coductio bad by reactio with a reducig aget. 2. emovig electros from the valece bad by reactio with a oxidisig aget. 3. romotig electros from the filled valece bad to the empty coductio bad usig heat or light. 17

18 I polysilaes the bad gap is such that m light ca excite electros from valece bad ito coductio bad. The bad gap is sesitive to: 1. Chai legth. Bad gap decreases ad absorptio wavelegth icreases (lower eergy). eaches limit at ~ 30 Si atoms. 2. Coformatio of polymer chai: tras coformatio leads to absorptio at lower wavelegths (better overlap). Si Si Si Si Si Si Si Si all-tras some-cis Coformatio depedet o temperature that leads to strog theormochromism (colour chage with temperature) olysilaes ca be used as photoresists. hν mask photoresist Si wafer exposed developed olyphosphazees argest class of iorgaic polymers because of ease of side group modificatio. > Backboe comprises alterate ad atoms. Side groups () ca be orgaic iorgaic or orgaometallic. thod of sythesis allows modificatio of side groups. Uses iclude sold electrolytes (batteries), advaced elastomers (elastic at low temperature). Aerospace ad automobile applicatios because of resistace to hydrocarbo solvets ad oils, ad flame resistace. Textiles. 18

19 - 5 3 or o C a 2 Ca also fuctioalise the - precursor prior to polymerisatio. F F F F F F hi F F F h F F eat F F F F F h chaism (rig opeig polymerisatio) eat - - Catioic chai propagatio. Bodig i chai Cis ad tras coformers exist ad barrier to rotatio about the - bod is very small. owever, the bodig i phosphazees is still ot well uderstood although theories have bee discussed sice Empirical observatios: hosphazees do ot exhibit alteratig bod legths but the bod legth is much less tha a sigle - bod (multiple bod character). This meas hypervalet. 19

20 olyphosphazees are ot coloured ad do ot coduct electricity that is characteristic of extesive cojugatio. σ-framework The problem is distributio of the remaiig valece electros. rigial Dewar proposed that hosphorus-3d orbitals are ivolved i bodig to give -- islads where 2p z overlap 3d orbitals. otatio about - bod is low eergy because 2p z ca retai overlap with 3d orbitals o rotatio. ore recet calculatios suggest ioic bodig appears to be domiat. 20

21 rgaometallic (molecular) agets ost magets comprise of metals cotaiig upaired electros i d ad f based orbitals. icroscopic magetism tal Io µ B (B = magetic field experieced by the io) Each metal io has a magetic momet µ the size of which depeds o the spi ad orbital agular momets. These idividual momets ca iteract (couple) with each other ad behave collectively i a magetic field. Types of BUK magetism Diamagetism All solids exhibit diamagetism. Atoms or molecules with closed shells of electros are diamagetic. aramagetism is observed for compouds that cotai upaired electros ad where the magetic dipoles do ot iteract with each other. Atiferromagetism ad Ferromagetism are observed for compouds that cotai upaired electros ad where there is a strog iteractio (couplig) betwee magetic dipoles below a characteristic temperature. Atiferromagets (momets atiparallel) (arrows are the magetic momets ot idividual electros) Ferromagetism (momets parallel) ost ati- ad ferromagets are comprised from codesed iorgaic solids such as metal ad metal oxides. This is because it is ecessary that momets are close 21

22 together to have a strog couplig. rgaic based magets were ot iitially cosidered likely because the momets would be too small ad too dilute. Above a critical temperature the thermal eergy overcomes the couplig iteractio betwee the momets ad the material becomes paramagetic. T < T C T > T C rgaometallic magets were first discovered i the 1980 s. They are described as charge trasfer complexes because reactio usually occurs betwee a reducig orgaometallic reaget ad a oxidizig orgaic compoud. Trasitio metal complexes iclude metallocees. = Cr,, Fe V Importat features of metallocees are they are relatively small ad ca have S > 0 (high spi desity) ad ligads ca be easily modified to allow structure-property relatioships to be examied. rgaic compouds are usually plaar ad cotai heteroatoms. C C C C C C TCE TCQ C C Importat features of the orgaic molecules are that they are relatively small givig high spi desity, oxidizig geeratig a radial aio, ad flat allowig packig i the solid state the gives good couplig betwee the spis. 22

23 Charge trasfer reactio Fe C C Fe C C C C C C reducig oxidizig Charge trasfer complex dxz, dyz dxy, dx 2 -y 2 dz 2 π* S = 0 S = 0 S = 0.5 S = 0.5 A electro is trasferred from a metallocee d-orbital to the orgaic π* orbital. Both catio ad aio have upaired electros ad ca couple. The solid state structure determies how the idividual magetic momets couple ad what type of magetic behaviour is observed. iear chais are formed. Iterchai couplig also very importat to give a bulk ferromaget. tallocee TCE Chai structure of [(C 5 5 ) 2 Fe][TCE] These compouds oly give T C below 5-10 K compared to 1073 K for iro metal. ai problem is couplig is still quite weak ad momets dilute compared to al iorgaic magets. owever a orgaometallic maget has bee discovered with T C = 400 K but its structure is ukow. A further disadvatage is that these materials decompose i air. V C C C 2 2 V(TCE) 2 (C 2 2 ) 0.5 C C The geeral field of molecular magetic materials is still at a early stage. There are may other metal-ligad combiatios i additio to metalloceebased examples that cotiue to be ivestigated. The attractio is the opportuity to desig materials from the bottom-up usig molecules that ca be modified ad processed easily. There is also the opportuity to sythesise materials that exhibit combiatios of properties that will form the basis of future techologies. 23

24 tal Coordiatio olymers These polymers are prepared by likig metal ios or metal clusters with orgaic likig uits. ost studies are cocered with the formatio of porous crystallie polymers. orous solids ca be used for catalysis, sesors, chromatography ad sorptio. c.f. zeolites odular approach Basic Idea tal ios rgaic likers 1-D polymer 2-D polymers 3-D polymers I priciple a vast umber of combiatios of ad 24

25 Examples of orgaic likers C C _ C C C C Examples of metal ios ad clusters C C C C C C C =Cr,, Fe C Cd 2 Z Z Z Z 25

26 Sythesis Sythesis of 3-D porous coordiatio polymers is complex because the product is crystallie (ad for characterisatio sigle-crystals have to be > (25 µm) 3 ). Every bod formed has to be cosistet with crystal growth (must be a corrective mechaism for bod formatio that is ot cosistet with crystal growth) Two commo methods 1. Cotrolled Diffusio Add reactats ito separate parts of vessel ad wait. Good for large sigle crystal growth, but slow for large quatities ad ot always reproducible. 2. ydrothermal thod Add all reactats together ito a hydrothermal bomb ad heat ad cool for a fixed period of time. ot always large eough sigle crystals but good for large quatities ad more reproducible. Compoud usually crystallise with solvet i pores. The problem before 1999 was that all attempts to remove solvet of crystallisatio resulted i collapse of the structure. 26

27 Example of a truly porous coordiatio polymer (there are ow may) Z( 3 ) 2 DF C Et 3 2 BDC Diffusio of Et 3 ito reactio mixture Crystals of Z 4 (BDC) 3.(DF) 8 (C 6 5 ) 300 o C Crystals of Z 4 (BDC) 3 ore sphere diameter 18.5 Å. (Big eough to accommodate molecules) tal moieties that are more complex tha simple ios, such as the cluster Z 4 are sometimes called secodary buildig uits SBU s. Z Z Z Z 27

28 By chagig the size of the iorgaic liker it is possible to desig a desired pore size. ote for structure 16 over 90% of the crystal volume is empty! 28

29 The formatio of porous structures ca be preveted by iterpeetratio of polymer frameworks. Iterpeetratio is where idividual frameworks lik together with o covalet bods betwee frameworks. These structures form due to o-covalet iteractios durig the crystal growig process ad because porous solids are thermodyamically ustable with respect to codesed solids. 29

30 roperties of coordiatio polymers Gas sorptio For applicatio of clea fuels gases such as 2 ad C 4 require storage ad access o demad. eavy gas cyliders uder large pressure are ot efficiet (or safe) ad materials are required that ca store large quatities of these gases ad release them whe eeded. Coordiatio polymers are beig ivestigated as storage media. e of the Z 4 (dicarboxylates) show above (structure 6) is able to sorb methae effectively at 36 atm (safe compared to 205 for a cylider). Chirality-Asymmetric catalysis Chiral orgaic likers ca be used to prepare chiral porous solids. These compouds are beig ivestigated for asymmetric catalytic applicatios. e.g. 2 C 2 C agetism ad sesors I may complexes Fe(II) (d 6 ) exhibits spi crossover (i.e. a trasitio from high to low spi or vice versa). Fe(II) spi crossover is very sesitive to ligad eviromet. Fe(II) low spi is diamagetic ad Fe(II) high spi is paramagetic. This chage is usually accompaied by a dramatic colour chage. Fe(II) coordiatio polymers have recetly bee sythesised that chage colour o absorptio of small alcohols. 30

Free Radical Polymerization

Free Radical Polymerization Free Radical Polymerizatio Referece: Aspe Polymers: Uit Operatios ad Reactio Models, Aspe Techology, Ic., 2013. 1. Itroductio The free-radical bulk/solutio polymerizatio model is applicable to bulk ad

More information

Polymerization Lab p. 1 Polymerization Lab

Polymerization Lab p. 1 Polymerization Lab Polymerizatio Lab p. 1 Polymerizatio Lab Itroductio: Polymers (Greek-PLY...may ad MES...parts) have existed sice the begiig of life. Both "atural" ad "sythetic" polymers are a itegral part of our life.

More information

Solids - types. correlates with bonding energy

Solids - types. correlates with bonding energy Solids - types MOLCULAR. Set of sigle atoms or molecules boud to adjacet due to weak electric force betwee eutral objects (va der Waals). Stregth depeds o electric dipole momet No free electros poor coductors

More information

MOTION. The easy stuff; The gaseous state - Translational motion. The crystalline state - Oscillations about a Mean position.

MOTION. The easy stuff; The gaseous state - Translational motion. The crystalline state - Oscillations about a Mean position. The easy stuff; MOTION The gaseous state - Traslatioal motio The crystallie state - Oscillatios about a Mea positio The hard stuff; The liquid state - Coupled motios MOTION IN POLYMERS LARGE SCALE MOTION

More information

POLYMERS

POLYMERS POLYMERS Short Aswer Questios: **1.What is PHBV? How is it useful to ma? As. PHBV is Poly β-hydroxy butyrate-co- β-hydroxy valerate.it is a biodegradable polymer. It is used i speciality packig, orthopaedic

More information

N Goalby chemrevise.org

N Goalby chemrevise.org 21. olymers There are two types of polymerisatio additio ad codesatio Additio olymerisatio A additio polymer forms whe usaturated moomers react to form a polymer Moomers cotai = bods oly(alkees) are chemically

More information

POLYMER SCIENCE and TECHNOLOGY I

POLYMER SCIENCE and TECHNOLOGY I POLYMER SCIENCE ad TECHNOLOGY I Dr. Işıl Gerçek Beşkardeş 2018 What is the greatest cotributio of chemistry to sciece ad society? Developmet of POLYMERIZATION is oe of the biggest ivetios chemistry has

More information

A B A B. 2. Homolytic Bond Dissociation Energies (DH ) 1. Introduction: How Radicals Form and How They React Heterolysis

A B A B. 2. Homolytic Bond Dissociation Energies (DH ) 1. Introduction: How Radicals Form and How They React Heterolysis hapter 10 Radical Reactios reated by Professor William Tam & Dr. Phillis hag h. 10-1 About The Authors These Powerpoit Lecture Slides were created ad prepared by Professor William Tam ad his wife Dr. Phillis

More information

Macromolecules 2003, 36,

Macromolecules 2003, 36, Cyclic AFT/MADIX CT Agets by obert B. Logi rlogicosultig.com Cyclic AFT CTA's ca polymerize viyl moomers ito cyclic polymers. Cyclic polymers because of their uique properties compared to their liear couterparts

More information

Chemical Kinetics CHAPTER 14. Chemistry: The Molecular Nature of Matter, 6 th edition By Jesperson, Brady, & Hyslop. CHAPTER 14 Chemical Kinetics

Chemical Kinetics CHAPTER 14. Chemistry: The Molecular Nature of Matter, 6 th edition By Jesperson, Brady, & Hyslop. CHAPTER 14 Chemical Kinetics Chemical Kietics CHAPTER 14 Chemistry: The Molecular Nature of Matter, 6 th editio By Jesperso, Brady, & Hyslop CHAPTER 14 Chemical Kietics Learig Objectives: Factors Affectig Reactio Rate: o Cocetratio

More information

Nernst Equation. Nernst Equation. Electric Work and Gibb's Free Energy. Skills to develop. Electric Work. Gibb's Free Energy

Nernst Equation. Nernst Equation. Electric Work and Gibb's Free Energy. Skills to develop. Electric Work. Gibb's Free Energy Nerst Equatio Skills to develop Eplai ad distiguish the cell potetial ad stadard cell potetial. Calculate cell potetials from kow coditios (Nerst Equatio). Calculate the equilibrium costat from cell potetials.

More information

4.7 Organic Chemistry

4.7 Organic Chemistry 4.7 rgaic hemistry rude oil rude oil is a fiite resource foud i rocks. rude oil is the remais of a aciet biomass cosistig maily of plakto that was buried i mud. Alkaes Most of the hydrocarbos i crude oil

More information

Towards the Development of a High-spin Organic Polymer

Towards the Development of a High-spin Organic Polymer Appedix II: Towards the Developmet of a High-spi rgaic Polymer 194 II.1 Itroductio The developmet of pure orgaic materials with ferromagetic properties is of log stadig theoretical ad experimetal iterest.

More information

Lecture 6. Semiconductor physics IV. The Semiconductor in Equilibrium

Lecture 6. Semiconductor physics IV. The Semiconductor in Equilibrium Lecture 6 Semicoductor physics IV The Semicoductor i Equilibrium Equilibrium, or thermal equilibrium No exteral forces such as voltages, electric fields. Magetic fields, or temperature gradiets are actig

More information

Chapter 14: Chemical Equilibrium

Chapter 14: Chemical Equilibrium hapter 14: hemical Equilibrium 46 hapter 14: hemical Equilibrium Sectio 14.1: Itroductio to hemical Equilibrium hemical equilibrium is the state where the cocetratios of all reactats ad products remai

More information

Basic Concepts of Electricity. n Force on positive charge is in direction of electric field, negative is opposite

Basic Concepts of Electricity. n Force on positive charge is in direction of electric field, negative is opposite Basic Cocepts of Electricity oltage E Curret I Ohm s Law Resistace R E = I R 1 Electric Fields A electric field applies a force to a charge Force o positive charge is i directio of electric field, egative

More information

Unit 5. Gases (Answers)

Unit 5. Gases (Answers) Uit 5. Gases (Aswers) Upo successful completio of this uit, the studets should be able to: 5. Describe what is meat by gas pressure.. The ca had a small amout of water o the bottom to begi with. Upo heatig

More information

Chapter 2. Aromatic Polyketones from α-aminonitriles

Chapter 2. Aromatic Polyketones from α-aminonitriles hapter 2 Aromatic Polyketoes from α-amioitriles 2.1 ythesis of α-amioitriles α-amioitriles 1 are a class of compouds which cotai the amie ad itrile fuctioal groups o the same carbo. The geeral structure

More information

Chemical Engineering 160/260 Polymer Science and Engineering. Model for Polymer Solutions February 5, 2001

Chemical Engineering 160/260 Polymer Science and Engineering. Model for Polymer Solutions February 5, 2001 Chemical Egieerig 60/60 Polymer Sciece ad Egieerig Lecture 9 - Flory-Huggis Model for Polymer Solutios February 5, 00 Read Sperlig, Chapter 4 Objectives! To develop the classical Flory-Huggis theory for

More information

Quantum Annealing for Heisenberg Spin Chains

Quantum Annealing for Heisenberg Spin Chains LA-UR # - Quatum Aealig for Heiseberg Spi Chais G.P. Berma, V.N. Gorshkov,, ad V.I.Tsifriovich Theoretical Divisio, Los Alamos Natioal Laboratory, Los Alamos, NM Istitute of Physics, Natioal Academy of

More information

Enzymes in Organic Chemistry. Enzymes!

Enzymes in Organic Chemistry. Enzymes! Ezymes i rgaic Chemistry March 17 th, 2015 Ezymes! Ezymes are biological catalysts. They icrease the rate at which equilibrium is reached, but they do ot affect the equilibrium. Ezymes differ from ordiary

More information

Chem Discussion #13 Chapter 10. Correlation diagrams for diatomic molecules. Key

Chem Discussion #13 Chapter 10. Correlation diagrams for diatomic molecules. Key Chem 101 017 Discussio #13 Chapter 10. Correlatio diagrams for diatomic molecules. Key 1. Below is a plot of the first 10 ioizatio eergies for a sigle atom i 3 rd row of the periodic table. The x- axis

More information

All Excuses must be taken to 233 Loomis before 4:15, Monday, April 30.

All Excuses must be taken to 233 Loomis before 4:15, Monday, April 30. Miscellaeous Notes The ed is ear do t get behid. All Excuses must be take to 233 Loomis before 4:15, Moday, April 30. The PYS 213 fial exam times are * 8-10 AM, Moday, May 7 * 8-10 AM, Tuesday, May 8 ad

More information

9.4.3 Fundamental Parameters. Concentration Factor. Not recommended. See Extraction factor. Decontamination Factor

9.4.3 Fundamental Parameters. Concentration Factor. Not recommended. See Extraction factor. Decontamination Factor 9.4.3 Fudametal Parameters Cocetratio Factor Not recommeded. See Extractio factor. Decotamiatio Factor The ratio of the proportio of cotamiat to product before treatmet to the proportio after treatmet.

More information

ALDEHYDES AND KETONES

ALDEHYDES AND KETONES ALDEHYDES AND KETONES Itroductio The group C=O is kow as carboyl group. This group is foud i aldehydes, ketoes, carboxylic acids, esters ad acid derivatives. I this group carbo atom makes sp hybridizatio.

More information

Doped semiconductors: donor impurities

Doped semiconductors: donor impurities Doped semicoductors: door impurities A silico lattice with a sigle impurity atom (Phosphorus, P) added. As compared to Si, the Phosphorus has oe extra valece electro which, after all bods are made, has

More information

A Brief Introduction to the Physical Basis for Electron Spin Resonance

A Brief Introduction to the Physical Basis for Electron Spin Resonance A Brief Itroductio to the Physical Basis for Electro Spi Resoace I ESR measuremets, the sample uder study is exposed to a large slowly varyig magetic field ad a microwave frequecy magetic field orieted

More information

Miscellaneous Notes. Lecture 19, p 1

Miscellaneous Notes. Lecture 19, p 1 Miscellaeous Notes The ed is ear do t get behid. All Excuses must be take to 233 Loomis before oo, Thur, Apr. 25. The PHYS 213 fial exam times are * 8-10 AM, Moday, May 6 * 1:30-3:30 PM, Wed, May 8 The

More information

Alkene/Alkyne Hydrozirconation

Alkene/Alkyne Hydrozirconation M.C. White, Chem 153 ydrozircoatio -292- Week of ovember 18, 2002 C 6 13 Alkee/Alkye ydrozircoatio lefi bids weakly to vacat d orbital o Zr via σ-doatio (π-backbodig is ot possible because the complex

More information

All Excuses must be taken to 233 Loomis before 4:15, Monday, April 30.

All Excuses must be taken to 233 Loomis before 4:15, Monday, April 30. Miscellaeous Notes The ed is ear do t get behid. All Excuses must be take to 233 Loomis before 4:15, Moday, April 30. The PHYS 213 fial exam times are * 8-10 AM, Moday, May 7 * 8-10 AM, Tuesday, May 8

More information

CEE 522 Autumn Uncertainty Concepts for Geotechnical Engineering

CEE 522 Autumn Uncertainty Concepts for Geotechnical Engineering CEE 5 Autum 005 Ucertaity Cocepts for Geotechical Egieerig Basic Termiology Set A set is a collectio of (mutually exclusive) objects or evets. The sample space is the (collectively exhaustive) collectio

More information

( ) ( ), (S3) ( ). (S4)

( ) ( ), (S3) ( ). (S4) Ultrasesitivity i phosphorylatio-dephosphorylatio cycles with little substrate: Supportig Iformatio Bruo M.C. Martis, eter S. Swai 1. Derivatio of the equatios associated with the mai model From the differetial

More information

4.3 Growth Rates of Solutions to Recurrences

4.3 Growth Rates of Solutions to Recurrences 4.3. GROWTH RATES OF SOLUTIONS TO RECURRENCES 81 4.3 Growth Rates of Solutios to Recurreces 4.3.1 Divide ad Coquer Algorithms Oe of the most basic ad powerful algorithmic techiques is divide ad coquer.

More information

The Mathematical Model and the Simulation Modelling Algoritm of the Multitiered Mechanical System

The Mathematical Model and the Simulation Modelling Algoritm of the Multitiered Mechanical System The Mathematical Model ad the Simulatio Modellig Algoritm of the Multitiered Mechaical System Demi Aatoliy, Kovalev Iva Dept. of Optical Digital Systems ad Techologies, The St. Petersburg Natioal Research

More information

CHEE 221: Chemical Processes and Systems

CHEE 221: Chemical Processes and Systems CHEE 221: Chemical Processes ad Systems Module 3. Material Balaces with Reactio Part a: Stoichiometry ad Methodologies (Felder & Rousseau Ch 4.6 4.8 ot 4.6c ) Material Balaces o Reactive Processes What

More information

Exponents. Learning Objectives. Pre-Activity

Exponents. Learning Objectives. Pre-Activity Sectio. Pre-Activity Preparatio Epoets A Chai Letter Chai letters are geerated every day. If you sed a chai letter to three frieds ad they each sed it o to three frieds, who each sed it o to three frieds,

More information

Principle Of Superposition

Principle Of Superposition ecture 5: PREIMINRY CONCEP O RUCUR NYI Priciple Of uperpositio Mathematically, the priciple of superpositio is stated as ( a ) G( a ) G( ) G a a or for a liear structural system, the respose at a give

More information

Announcements, Nov. 19 th

Announcements, Nov. 19 th Aoucemets, Nov. 9 th Lecture PRS Quiz topic: results Chemical through Kietics July 9 are posted o the course website. Chec agaist Kietics LabChec agaist Kietics Lab O Fial Exam, NOT 3 Review Exam 3 ad

More information

Organic photosynthetic reactions

Organic photosynthetic reactions rgaic photosythetic reactios Photoreactivity of ethees Geometrical isomerizatio I!-!* excited states, there is effectively o! bod ad so the cetral σ bod may rotate to yield the lowest eergy coformatio.

More information

Review Sheet for Final Exam

Review Sheet for Final Exam Sheet for ial To study for the exam, we suggest you look through the past review sheets, exams ad homework assigmets, ad idetify the topics that you most eed to work o. To help with this, the table give

More information

Complexation Reactions and Titrations

Complexation Reactions and Titrations Chapter 17 Complexatio Reactios ad Titratios Lewis acid-base cocept Lewis acid electro pair acceptor [metal catios, M + ] Lewis base electro pair door [ligad, molecules or ios] Coordiate covalet bod a

More information

Mark Lundstrom Spring SOLUTIONS: ECE 305 Homework: Week 5. Mark Lundstrom Purdue University

Mark Lundstrom Spring SOLUTIONS: ECE 305 Homework: Week 5. Mark Lundstrom Purdue University Mark udstrom Sprig 2015 SOUTIONS: ECE 305 Homework: Week 5 Mark udstrom Purdue Uiversity The followig problems cocer the Miority Carrier Diffusio Equatio (MCDE) for electros: Δ t = D Δ + G For all the

More information

a b c d e f g h Supplementary Information

a b c d e f g h Supplementary Information Supplemetary Iformatio a b c d e f g h Supplemetary Figure S STM images show that Dark patters are frequetly preset ad ted to accumulate. (a) mv, pa, m ; (b) mv, pa, m ; (c) mv, pa, m ; (d) mv, pa, m ;

More information

1. Collision Theory 2. Activation Energy 3. Potential Energy Diagrams

1. Collision Theory 2. Activation Energy 3. Potential Energy Diagrams Chemistry 12 Reactio Kietics II Name: Date: Block: 1. Collisio Theory 2. Activatio Eergy 3. Potetial Eergy Diagrams Collisio Theory (Kietic Molecular Theory) I order for two molecules to react, they must

More information

ENGI 4421 Confidence Intervals (Two Samples) Page 12-01

ENGI 4421 Confidence Intervals (Two Samples) Page 12-01 ENGI 44 Cofidece Itervals (Two Samples) Page -0 Two Sample Cofidece Iterval for a Differece i Populatio Meas [Navidi sectios 5.4-5.7; Devore chapter 9] From the cetral limit theorem, we kow that, for sufficietly

More information

Materials You Know Ceramics (inorganic, nonmetallic solids)

Materials You Know Ceramics (inorganic, nonmetallic solids) Moder Materials ad PSU esearch irst school to offer a materials curriculum i 1960. Developed the first iterdiscipliary materials laboratory i 1962. Pe State is raked #1 i the US i expeditures for materials

More information

SOLUTIONS: ECE 606 Homework Week 7 Mark Lundstrom Purdue University (revised 3/27/13) e E i E T

SOLUTIONS: ECE 606 Homework Week 7 Mark Lundstrom Purdue University (revised 3/27/13) e E i E T SOUIONS: ECE 606 Homework Week 7 Mark udstrom Purdue Uiversity (revised 3/27/13) 1) Cosider a - type semicoductor for which the oly states i the badgap are door levels (i.e. ( E = E D ). Begi with the

More information

What is Physical Chemistry. Physical Chemistry for Chemical Engineers CHEM251. Basic Characteristics of a Gas

What is Physical Chemistry. Physical Chemistry for Chemical Engineers CHEM251. Basic Characteristics of a Gas 7/6/0 hysical Chemistry for Chemical Egieers CHEM5 What is hysical Chemistry hysical Chemistry is the study of the uderlyig physical priciples that gover the properties ad behaviour of chemical systems

More information

P Conducting polymers information sheet: page 1 of 5. Intrinsically conducting polymers

P Conducting polymers information sheet: page 1 of 5. Intrinsically conducting polymers oductig polymers iformatio sheet Most textbooks idicate that oe of the most importat properties of polymers is that they are electrical isulators they are used for coverig electrical cables, the bodies

More information

Chapter 1 Introduction

Chapter 1 Introduction hapter 1 Itroductio Sythetic polymers [1] are vital materials used i moder daily life from packagig, electroics, medical devices, clothig, vehicles, buildigs, etc., due to their ease of processig ad light

More information

Hydrogen (atoms, molecules) in external fields. Static electric and magnetic fields Oscyllating electromagnetic fields

Hydrogen (atoms, molecules) in external fields. Static electric and magnetic fields Oscyllating electromagnetic fields Hydroge (atoms, molecules) i exteral fields Static electric ad magetic fields Oscyllatig electromagetic fields Everythig said up to ow has to be modified more or less strogly if we cosider atoms (ad ios)

More information

Diffusivity and Mobility Quantization. in Quantum Electrical Semi-Ballistic. Quasi-One-Dimensional Conductors

Diffusivity and Mobility Quantization. in Quantum Electrical Semi-Ballistic. Quasi-One-Dimensional Conductors Advaces i Applied Physics, Vol., 014, o. 1, 9-13 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.1988/aap.014.3110 Diffusivity ad Mobility Quatizatio i Quatum Electrical Semi-Ballistic Quasi-Oe-Dimesioal

More information

t distribution [34] : used to test a mean against an hypothesized value (H 0 : µ = µ 0 ) or the difference

t distribution [34] : used to test a mean against an hypothesized value (H 0 : µ = µ 0 ) or the difference EXST30 Backgroud material Page From the textbook The Statistical Sleuth Mea [0]: I your text the word mea deotes a populatio mea (µ) while the work average deotes a sample average ( ). Variace [0]: The

More information

Physics Supplement to my class. Kinetic Theory

Physics Supplement to my class. Kinetic Theory Physics Supplemet to my class Leaers should ote that I have used symbols for geometrical figures ad abbreviatios through out the documet. Kietic Theory 1 Most Probable, Mea ad RMS Speed of Gas Molecules

More information

Solid State Device Fundamentals

Solid State Device Fundamentals Solid State Device Fudametals ENS 345 Lecture Course by Alexader M. Zaitsev alexader.zaitsev@csi.cuy.edu Tel: 718 982 2812 4N101b 1 Thermal motio of electros Average kietic eergy of electro or hole (thermal

More information

MIT Department of Chemistry 5.74, Spring 2005: Introductory Quantum Mechanics II Instructor: Professor Andrei Tokmakoff

MIT Department of Chemistry 5.74, Spring 2005: Introductory Quantum Mechanics II Instructor: Professor Andrei Tokmakoff MIT Departmet of Chemistry 5.74, Sprig 5: Itroductory Quatum Mechaics II Istructor: Professor Adrei Tomaoff p. 97 ABSORPTION SPECTRA OF MOLECULAR AGGREGATES The absorptio spectra of periodic arrays of

More information

Chapter 9 - CD companion 1. A Generic Implementation; The Common-Merge Amplifier. 1 τ is. ω ch. τ io

Chapter 9 - CD companion 1. A Generic Implementation; The Common-Merge Amplifier. 1 τ is. ω ch. τ io Chapter 9 - CD compaio CHAPTER NINE CD-9.2 CD-9.2. Stages With Voltage ad Curret Gai A Geeric Implemetatio; The Commo-Merge Amplifier The advaced method preseted i the text for approximatig cutoff frequecies

More information

Lecture 1 Probability and Statistics

Lecture 1 Probability and Statistics Wikipedia: Lecture 1 Probability ad Statistics Bejami Disraeli, British statesma ad literary figure (1804 1881): There are three kids of lies: lies, damed lies, ad statistics. popularized i US by Mark

More information

Asymmetric Diels Alder Reactions

Asymmetric Diels Alder Reactions Asymmetric Diels Alder eactios Chiral Auxiliaries (-)-8-eylmethol favorable!-stackig 3 C 3 C C 3 AlCl 3 3 C 3 C C 3 s-tras Lewis-acid complex AlCl 3 Cl JACS, 1975, 1610 frot-face approach of diee B 3 C

More information

Different FRP Resin Chemistries for Different Chemical Environments

Different FRP Resin Chemistries for Different Chemical Environments Differet FRP Resi Chemistries for Differet Chemical Eviromets Do Kelley, Jim Graham, Thom Johso Ashlad Performace Materials ABSTRACT The corrosio challeges posed by differet chemical eviromets madate the

More information

Physics 232 Gauge invariance of the magnetic susceptibilty

Physics 232 Gauge invariance of the magnetic susceptibilty Physics 232 Gauge ivariace of the magetic susceptibilty Peter Youg (Dated: Jauary 16, 2006) I. INTRODUCTION We have see i class that the followig additioal terms appear i the Hamiltoia o addig a magetic

More information

Kinetics of Complex Reactions

Kinetics of Complex Reactions Kietics of Complex Reactios by Flick Colema Departmet of Chemistry Wellesley College Wellesley MA 28 wcolema@wellesley.edu Copyright Flick Colema 996. All rights reserved. You are welcome to use this documet

More information

Material Balances on Reactive Processes F&R

Material Balances on Reactive Processes F&R Material Balaces o Reactive Processes F&R 4.6-4.8 What does a reactio do to the geeral balace equatio? Accumulatio = I Out + Geeratio Cosumptio For a reactive process at steady-state, the geeral balace

More information

CHAPTER 11. Practice Questions (a) OH (b) I. (h) NH 3 CH 3 CO 2 (j) C 6 H 5 O - (k) (CH 3 ) 3 N conjugate pair

CHAPTER 11. Practice Questions (a) OH (b) I. (h) NH 3 CH 3 CO 2 (j) C 6 H 5 O - (k) (CH 3 ) 3 N conjugate pair CAPTER 11 Practice Questios 11.1 (a) O (b) I (c) NO 2 (d) 2 PO 4 (e) 2 PO 4 (f) 3 PO 4 (g) SO 4 (h) N 3 (i) C 3 CO 2 (j) C 6 5 O - (k) (C 3 ) 3 N 11.3 cojugate pair PO 3 4 (aq) C 3 COO(aq) PO 2 4 (aq)

More information

SILICA NANOPARTICLES PRODUCED BY THERMAL ARC PLASMA. MODELLING

SILICA NANOPARTICLES PRODUCED BY THERMAL ARC PLASMA. MODELLING Joural of Optoelectroics ad Advaced Materials Vol. 5, No. 3, September 003, p. 679-686 SILICA NANOPARTICLES PRODUCED BY THERMAL ARC PLASMA. MODELLING E. Balabaova * Istitute of Electroics, Bulgaria Academy

More information

Introduction to Semiconductor Devices and Circuit Model

Introduction to Semiconductor Devices and Circuit Model Itroductio to Semicoductor Devices ad Circuit Model Readig: Chater 2 of Howe ad Sodii Electrical Resistace I + V _ W homogeeous samle t L Resistace R V I L = ρ Wt (Uits: Ω) where ρ is the resistivity (Uits:

More information

AME 513. " Lecture 3 Chemical thermodynamics I 2 nd Law

AME 513.  Lecture 3 Chemical thermodynamics I 2 nd Law AME 513 Priciples of Combustio " Lecture 3 Chemical thermodyamics I 2 d Law Outlie" Why do we eed to ivoke chemical equilibrium? Degrees Of Reactio Freedom (DORFs) Coservatio of atoms Secod Law of Thermodyamics

More information

The axial dispersion model for tubular reactors at steady state can be described by the following equations: dc dz R n cn = 0 (1) (2) 1 d 2 c.

The axial dispersion model for tubular reactors at steady state can be described by the following equations: dc dz R n cn = 0 (1) (2) 1 d 2 c. 5.4 Applicatio of Perturbatio Methods to the Dispersio Model for Tubular Reactors The axial dispersio model for tubular reactors at steady state ca be described by the followig equatios: d c Pe dz z =

More information

SNAP Centre Workshop. Basic Algebraic Manipulation

SNAP Centre Workshop. Basic Algebraic Manipulation SNAP Cetre Workshop Basic Algebraic Maipulatio 8 Simplifyig Algebraic Expressios Whe a expressio is writte i the most compact maer possible, it is cosidered to be simplified. Not Simplified: x(x + 4x)

More information

Lecture 1 Probability and Statistics

Lecture 1 Probability and Statistics Wikipedia: Lecture 1 Probability ad Statistics Bejami Disraeli, British statesma ad literary figure (1804 1881): There are three kids of lies: lies, damed lies, ad statistics. popularized i US by Mark

More information

Chapter 2 Motion and Recombination of Electrons and Holes

Chapter 2 Motion and Recombination of Electrons and Holes Chapter 2 Motio ad Recombiatio of Electros ad Holes 2.1 Thermal Eergy ad Thermal Velocity Average electro or hole kietic eergy 3 2 kt 1 2 2 mv th v th 3kT m eff 3 23 1.38 10 JK 0.26 9.1 10 1 31 300 kg

More information

ECEN Microelectronics. Semiconductor Physics and P/N junctions 2/05/19

ECEN Microelectronics. Semiconductor Physics and P/N junctions 2/05/19 ECEN 3250 Microelectroics Semicoductor Physics ad P/N juctios 2/05/19 Professor J. Gopiath Professor J. Gopiath Uiversity of Colorado at Boulder Microelectroics Sprig 2014 Overview Eergy bads Atomic eergy

More information

Data Analysis and Statistical Methods Statistics 651

Data Analysis and Statistical Methods Statistics 651 Data Aalysis ad Statistical Methods Statistics 651 http://www.stat.tamu.edu/~suhasii/teachig.html Suhasii Subba Rao Review of testig: Example The admistrator of a ursig home wats to do a time ad motio

More information

Protein detergent interactions - Nano Science experimetal excercise

Protein detergent interactions - Nano Science experimetal excercise April 25, 2006 Protei deterget iteractios - Nao Sciece experimetal excercise Ja Skov Pederse, Bete Olse ad Petra Bäverbäck Departmet of Chemistry ad inano Iterdicipliary Naosciece Cetre, Uiversity of Aarhus,

More information

Chapter 22. Comparing Two Proportions. Copyright 2010, 2007, 2004 Pearson Education, Inc.

Chapter 22. Comparing Two Proportions. Copyright 2010, 2007, 2004 Pearson Education, Inc. Chapter 22 Comparig Two Proportios Copyright 2010, 2007, 2004 Pearso Educatio, Ic. Comparig Two Proportios Read the first two paragraphs of pg 504. Comparisos betwee two percetages are much more commo

More information

4. Amines, Amides and Amino Acids

4. Amines, Amides and Amino Acids 4. Amies, Amides ad Amio Acids amig Amies These ed i amie. There is, however, rather cofusigly two ways of usig this suffix. The exam board ted to use the propylamie commo versio where the ame r propa-1-amie

More information

Polymerization of Glycidyl Nitrate via Catalysis with BF3 THF : Compatibility with the Activated Monomer (AM) Mechanism

Polymerization of Glycidyl Nitrate via Catalysis with BF3 THF : Compatibility with the Activated Monomer (AM) Mechanism ATK THIKL INC Polymerizatio of Glycidyl Nitrate via Catalysis with BF3 THF : Compatibility with the Activated Moomer (AM) Mechaism Prepared For 2004 IM/EM Techical Symposium November 15-17, 2004 Sa Fracisco,

More information

Olefin insertion into Metal alkyl can be followed by hydride elimination or additional olefin insertions: M H

Olefin insertion into Metal alkyl can be followed by hydride elimination or additional olefin insertions: M H eady; Catalysis Isomerizatio/cyclizatio- lefi isertio ito tal alkyl ca be followed by hydride elimiatio or additioal olefi isertios: M ' ' M ' ' M ' M -dimerizatio/oligomerizatio -small molecules -polymerizatio

More information

The Quark Puzzle A 3D printable model and/or paper printable puzzle that allows students to learn the laws of colour charge through inquiry.

The Quark Puzzle A 3D printable model and/or paper printable puzzle that allows students to learn the laws of colour charge through inquiry. The Quark Puzzle A 3D pritable model ad/or paper pritable puzzle that allows studets to lear the laws of colour charge through iquiry. It is available at this lik: https://zeodo.org/record/1252868#.w3ft-gzauk

More information

Physics Oct Reading

Physics Oct Reading Physics 301 21-Oct-2002 17-1 Readig Fiish K&K chapter 7 ad start o chapter 8. Also, I m passig out several Physics Today articles. The first is by Graham P. Collis, August, 1995, vol. 48, o. 8, p. 17,

More information

WORKING WITH NUMBERS

WORKING WITH NUMBERS 1 WORKING WITH NUMBERS WHAT YOU NEED TO KNOW The defiitio of the differet umber sets: is the set of atural umbers {0, 1,, 3, }. is the set of itegers {, 3,, 1, 0, 1,, 3, }; + is the set of positive itegers;

More information

Practice Questions for Exam 3 CH 1020 Spring 2017

Practice Questions for Exam 3 CH 1020 Spring 2017 Practice Questios for Exam 3 C 1020 Sprig 2017 1. Which of the followig ca be cosidered a Brøsted-Lowry base? 5. What is the p of a solutio for which [Ba(O) 2 ] = 0.015 M? 6. The figure below shows three

More information

Numerical Simulation of Thermomechanical Problems in Applied Mechanics: Application to Solidification Problem

Numerical Simulation of Thermomechanical Problems in Applied Mechanics: Application to Solidification Problem Leoardo Joural of Scieces ISSN 1583-0233 Issue 9, July-December 2006 p. 25-32 Numerical Simulatio of Thermomechaical Problems i Applied Mechaics: Applicatio to Solidificatio Problem Vicet Obiajulu OGWUAGWU

More information

Measurement uncertainty of the sound absorption

Measurement uncertainty of the sound absorption Measuremet ucertaity of the soud absorptio coefficiet Aa Izewska Buildig Research Istitute, Filtrowa Str., 00-6 Warsaw, Polad a.izewska@itb.pl 6887 The stadard ISO/IEC 705:005 o the competece of testig

More information

Some examples of vector spaces

Some examples of vector spaces Roberto s Notes o Liear Algebra Chapter 11: Vector spaces Sectio 2 Some examples of vector spaces What you eed to kow already: The te axioms eeded to idetify a vector space. What you ca lear here: Some

More information

Lesson 10: Limits and Continuity

Lesson 10: Limits and Continuity www.scimsacademy.com Lesso 10: Limits ad Cotiuity SCIMS Academy 1 Limit of a fuctio The cocept of limit of a fuctio is cetral to all other cocepts i calculus (like cotiuity, derivative, defiite itegrals

More information

Electric dipole moment of nuclei

Electric dipole moment of nuclei Electric dipole momet of uclei I collaboratio with odoka Yamaaka (ithes Group, RIKE) E. Hiyama (RIKE), T. Yamada (Kato Gakui Uiv.), Y. Fuaki (RIKE) 2016/03/02 RIKE Itroductio CP violatio of Stadard model

More information

ABSTRACT 1. INTRODUCTION

ABSTRACT 1. INTRODUCTION Iwamura, Y., T. Itoh, ad M. SakaNo. Nuclear Products ad Their Time Depedece Iduced by Cotiuous Diffusio of Deuterium Through Multi-layer Palladium Cotaiig Low Work Fuctio Material. i 8th Iteratioal Coferece

More information

Samples questions on Polymer Chemistry

Samples questions on Polymer Chemistry Samples questios o Polymer Chemistry Symbols carry usual meaigs Module 1: Lecture 1-3 1. For a polydisperse polymer sample rak the M, M w, M z, ad M v accordig to their values. I 10 g of a polystyree sample

More information

New Structure of Monocyclic Fluoropolymer for 157nm Photoresist

New Structure of Monocyclic Fluoropolymer for 157nm Photoresist New Structure of Moocyclic luoropolymer for 157m Photoresist Masataka Eda, Yoko Takebe, Osamu Yokokoji Research eter, Asahi Glass o., Ltd. Akihiko Otoguro, Shigeo Irie, Toshiro Itai, Kiyoshi ujii Semicoductor

More information

A. Much too slow. C. Basically about right. E. Much too fast

A. Much too slow. C. Basically about right. E. Much too fast Geeral Questio 1 t this poit, we have bee i this class for about a moth. It seems like this is a good time to take stock of how the class is goig. g I promise ot to look at idividual resposes, so be cadid!

More information

Möbius Annulenes 11,

Möbius Annulenes 11, Möbius Aulees Aother Type of Aromatic System College of Chemistry, Pekig Uiversity, Beijig, 100871 La Yu 11, 25. 2005 CONTENTS Itroductio of Hückel aromaticity. What is Möbius type coformatio. The eergy

More information

TRANSITION-METAL-MEDIATED POLYMERIZATION REACTIONS

TRANSITION-METAL-MEDIATED POLYMERIZATION REACTIONS 1 EXPERIMENT D TRANSITION-METAL-MEDIATED POLYMERIZATION REACTIONS Part 1. Rig-Opeig Metathesis Polymerizatio (ROMP) Trasitio metal complexes are widely used i idustry as catalysts. Oe applicatio is their

More information

Statistics 511 Additional Materials

Statistics 511 Additional Materials Cofidece Itervals o mu Statistics 511 Additioal Materials This topic officially moves us from probability to statistics. We begi to discuss makig ifereces about the populatio. Oe way to differetiate probability

More information

ANALYSIS OF EXPERIMENTAL ERRORS

ANALYSIS OF EXPERIMENTAL ERRORS ANALYSIS OF EXPERIMENTAL ERRORS All physical measuremets ecoutered i the verificatio of physics theories ad cocepts are subject to ucertaities that deped o the measurig istrumets used ad the coditios uder

More information

LECTURE 14. Non-linear transverse motion. Non-linear transverse motion

LECTURE 14. Non-linear transverse motion. Non-linear transverse motion LETURE 4 No-liear trasverse motio Floquet trasformatio Harmoic aalysis-oe dimesioal resoaces Two-dimesioal resoaces No-liear trasverse motio No-liear field terms i the trajectory equatio: Trajectory equatio

More information

5.1 Energy Changes in Chemical and Nuclear Reactions

5.1 Energy Changes in Chemical and Nuclear Reactions Figure 1 Our use of fossil fuels is usustaiable. New sources of gree, sustaiable eergy are eeded to meet the world s growig demad. 5.1 Eergy Chages i Chemical ad Nuclear Reactios Our ability to haress

More information

OPTIMAL ALGORITHMS -- SUPPLEMENTAL NOTES

OPTIMAL ALGORITHMS -- SUPPLEMENTAL NOTES OPTIMAL ALGORITHMS -- SUPPLEMENTAL NOTES Peter M. Maurer Why Hashig is θ(). As i biary search, hashig assumes that keys are stored i a array which is idexed by a iteger. However, hashig attempts to bypass

More information

NUCLEATION 7.1 INTRODUCTION 7.2 HOMOGENEOUS NUCLEATION Embryos and nuclei CHAPTER 7

NUCLEATION 7.1 INTRODUCTION 7.2 HOMOGENEOUS NUCLEATION Embryos and nuclei CHAPTER 7 CHAPER 7 NUCLEAION 7.1 INRODUCION I this text, we focus our attetio o crystallie solids that form from the melt. he process begis with the creatio of a cluster of atoms of crystallie structure, which may

More information

OBJECTIVES. Chapter 1 INTRODUCTION TO INSTRUMENTATION FUNCTION AND ADVANTAGES INTRODUCTION. At the end of this chapter, students should be able to:

OBJECTIVES. Chapter 1 INTRODUCTION TO INSTRUMENTATION FUNCTION AND ADVANTAGES INTRODUCTION. At the end of this chapter, students should be able to: OBJECTIVES Chapter 1 INTRODUCTION TO INSTRUMENTATION At the ed of this chapter, studets should be able to: 1. Explai the static ad dyamic characteristics of a istrumet. 2. Calculate ad aalyze the measuremet

More information