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5.1. Public goods5.1. Public goods - IntroductionIn the perfectly competitive market, property rights are assumed to be perfectly defined and enforced. This implies goods and services are excludable and rivalrous in consumption.Excludable Non-excludableRivalrous Non-rivalrousClub goods Common resources Public goodsIn reality, many goods and services are associated with property rights problems:Private goodse.g. ice-cream, clothing e.g. cable TV, club membershipe.g. fish in the ocean, the environment e.g. basic research, national defenceDefinitions: non-excludable: once produced, no one can be prevented from using the good; and non-rivalrous: one person’s use of the good does not diminish other people’s use.5.1. Public goods - Market failurePrivate goods and club goods do not present market failure – they have prices attached to them. Public goods and common resources present market failure – externalities arise because something of value has no price attached:• If a person were to provide a public good, for e.g. national defence, others would be better off and yet they are not charged for this benefit;• If a person uses a common resources, for e.g. fish in the ocean, others would be worse off and yet they are not compensated for this loss.Due to these externalities, private decisions about production and consumption can lead to inefficient outcomes (market failure).Government intervention (public solutions) can potentially correct inefficiency and raise economic well-being.5.1.1. Public goodsDue to these two features, people have an incentive to be free riders:The existence of free riders lead to the under-provision of public goods in the market (the free rider problem ).The market fails to provide the efficient outcome because those who gain a benefit fromconsuming the public good do not compensate the supplier for the production costs. Hence, the supplier has no incentive to provide the good.The government can remedy this problem by providing or subsidising the public good and paying for it with tax revenue, to make everyone better off. This is a public solution.Some examples: fireworks displays, lighthouses, national defence, basic research (knowledge), free-to-air TV and radio.Definition: public goods are goods that are non-excludable and non-rivalrous.Definition: free rider is a person who receives the benefit of a good but avoids paying for it.National defence - one of the most expensive public goods.• Solution: People may disagree on the appropriate levels, but most will agree that some government spending on defence is necessary.Basic research (knowledge) – general knowledge is a public good; profit seeking firms have incentive to free ride on the knowledge created by others.• Solution: Government subsidises the basic research carried out by universities and other research organisations (this is a corrective subsidy on the positive externality generated). Fighting poverty – everyone prefers living in a society without poverty, but fighting poverty is not a ‘good’ that private actions will adequately provide.• Solution: Many government programs are aimed at helping the poor, for e.g. unemployment benefits, old-age pensions, disability support, funded by tax revenue.Before providing a public good, government conducts a cost-benefit analysis to determine whether it is efficient to do so.Definition: cost-benefit analysis is a study that compares the costs and benefitsto society of providing a public good.Free-to-air TV and radio - non-excludable and non-rivalrous, yet provided by private firms as for-profit business. For e.g. Freeview.How is revenue generated, when consumers enjoy for free?• Solution: broadcasters sells a complementary, private good i.e. advertising. Sells airtime to advertisers.Advertisers are willing to pay more if their ads are shown during a program that has many viewers. This gives broadcasters incentive to show programs that viewers want to watch. Hence, viewer demand drives what is shown.Other examples of the private provision of public goods: search engines e.g. Google and Bing; and video sharing sites e.g. YouTube and Vimeo. These are funded by the revenue from the ads displayed on the webpages.5.1.2. Common resourcesThe tragedy of the commons refers to the overgrazing of communal land surrounding medieval English villages.Each family in the village has the right to graze sheep on the commons. When one family ’s flock grazes on the common land, it reduces the quality of the land available for other families. Because people neglect this negative externality when deciding how many sheep to own, the result is an excessive number of sheep. Overgrazing eventually damages the land ’s ability to replenish itself, destroying the common resource for all families in the village.Some examples: clean air and climate change, oil deposits, congested non-toll roads, fish, whales and other wildlifeSolutions to the common resource problem can be private and/or public. Definition: common resources are goods that are non-excludable but rivalrous.Definition: the tragedy of the commons is a parable that illustrates why common resources get used more than is desirable from the standpoint of society as a whole.Clean air and climate change – greenhouse gasses emitted in one country spread around the world contributing to climate change in every country. When a government in one country regulates emissions, it considers only its own environment, not the effects on other countries. • Solution: the Coase Theorem suggests that nations can enter into a treaty (e.g. the Kyoto Protocol) which commits them to reduce their own emissions. The treaty behaves like contract, internalising the externality.Oil deposits – a large oil field lies under many properties with different owners. Any of the owners can extract the oil, but when one owner extracts oil, less is available for the others. Because each owner who drills a well imposes a negative externality on the other owners, the benefit to society of drilling a well is less than the benefit to the owner who drills it. If owners of the properties decide individually how many oil wells to drill, they will drill too many.• Solution: some type of joint action or agreement among the owners is necessary to solve the problem and ensure that oil is extracted at lowest cost.Overgrazing on the commons - the community can prevent the tragedy in a number of ways. • Solution: regulate the number of sheep in each family ’s flock or divide up the land among the families.Congested roads - yield a negative externality. When one person drives on the road, it becomes more crowded, and other people must drive more slowly.• Solution: Government levies a toll or a congestion charge. A toll is a corrective tax on the externality of congestion. Sometimes congestion is a problem only at rush hour. Government can charge higher tolls at rush hour as an incentive for drivers to alter their schedules.Many species of animals (fish, whale, other wildlife) – are common resources.Fish, for instance, have commercial value, and anyone can go to the ocean and catch whatever is available. Each person has little incentive to maintain the species for the next year. Just as excessive grazing can destroy the commons, excessive fishing can destroy marine populations. • Solution: ??Two problems prevent successful Government regulation of fish stocks:(1) many countries have access to the oceans, so any solution would require internationalcooperation among countries that hold different values;(2) because the oceans are so vast, enforcing any agreement is difficult.5.2. Government intervention - IntroductionGovernments intervene in markets to correct market failures, such as inequality, externalities and public goods. Objective: to restore efficiency and increase economic well-being of society. Government can intervene: • Directly – by controlling prices in the markets• Indirectly – by taxing and/or subsiding demand and supplySome policy tools used bygovernment:• Price controls• Taxes• Subsidies5.2.1. Price controlsInequality and fighting poverty are market failures.Governments can directly control prices in different markets by using price ceilings and price floors to ensure all members of society enjoy a certain standard of living.Definition: price ceiling is a legal maximum on the price at which a good can be sold. Definition: price floor is a legal minimum on the price at which a good can be sold.5.2.1. Price controls: price ceilingA binding price ceiling is set below the equilibrium price.Price ceilings result in shortages of the good, as the market cannot achieve equilibrium.To manage the shortage, somemechanism for rationing the good will naturally develop, for e.g. queuing. In the case of rent control , landlords may be discouraged from maintaining their buildings.A price ceiling is only binding if set belowthe equilibrium price. If set above , it is non-binding as it does not prevent the market from achieving equilibrium.SupplyDemandPrice ceiling $3 $2100 75 125Price QuantityQuantity supplied Quantity demandedShortage5.2.1. Price controls: price floorA binding price floor is set above the equilibrium price.Price floors result in surpluses of the good. Some sellers are able to sell their goods at the higher price, but others will not be able to.Some method for rationing will naturally develop, for e.g. appealing to the personal biases of the buyers. In the case of minimum wage , the surplus is unemployment.Rationing may lead to discriminatory hiring practices in the labour market.A price floor is only binding if set above theequilibrium price. If set below , it is non-binding as it does not prevent the market fromachieving equilibrium. SupplyDemandPrice floor$3$4 100 75 125 Price Quantity Quantity suppliedQuantity demanded SurplusDefinition: tax incidence is the study of who bears the burden of taxation, the degree to which buyers and sellers will be worse off due to the tax.5.2.2. TaxesGovernment taxes firms and households in different markets.Taxes fulfill two functions:(1) Provide government with the resources required for intervention, for e.g. government uses taxrevenue to provide or subsidise public goods;(2) Corrective measure to internalise externalities, for e.g. government can tax activities that havenegative externalities an amount equaling its external cost.Definition: tax is a payment to government, from buyers or sellers, for each unit of good that is bought or sold.The government requires buyers to pay a tax of $0.50 on each unit purchased.This shifts demand to the left (demand falls) by the amount of the tax.The tax creates a wedge between the price buyers effectively pay ($3.30), and the price sellers receive ($2.80).Although the tax is levied on buyers, the burden of the tax falls on both buyers and sellers. The price buyers pay is $0.30 higher than before, the price sellers receive is $0.20 lower than before.Moreover, the quantity traded falls (100 to 90).SupplyDemand 1 $3 $2.8010090 Price QuantityEquilibrium without tax Demand 2$3.30 Equilibrium with taxTax $0.50The government requires sellers to pay a tax of $0.50 on each unit sold.This shifts supply to the left (supply falls) by the amount of the tax. Otherwise, the effects are identical to tax incidence on buyers.How taxes affect market outcomes:Taxes discourage market activity:• When a good is taxed, the quantity traded falls;• Buyers pay more for the good and sellers receive less.Buyers and sellers share the tax burden. It does not matter who the tax is levied on. The effects on the market and the tax incidence are identical.Supply 1Demand$3 $2.8010090 PriceQuantityEquilibrium without tax$3.30 Equilibrium with taxTax $0.50Supply 25.2.2. Taxes: elasticity and tax incidenceSupply 1DemandPrice without tax PriceQuantityEquilibrium without taxEquilibrium with taxTaxSupply 2Price buyers payPrice sellers receiveTax incidence on buyersTax incidence on sellersSupply 1DemandPrice without tax PriceQuantityEquilibrium without taxEquilibrium with taxTaxSupply 2Price buyers pay Price sellers receiveTax incidence on buyersTax incidence on sellersBecause supply is elastic , the price sellers receive does not fall much, so sellers bear only a small burden. In contrast, the price buyers pay risessubstantially, so buyers bear most of the tax burden.Because demand is elastic , the price buyers pay does not rise much, so buyers bear only a small burden. In contrast, the price sellers receive falls substantially, so sellers bear most of the tax burden.5.2.3. SubsidiesGovernment sometimes subsidises firms and households in different markets.Definition: subsidy is a payment from government, to buyers or sellers, for each unitof good that is bought or sold.Definition: subsidy incidence is the study of who receives the benefit of the subsidy,the degree to which buyers and sellers will be better off due to the subsidy.Subsidies fulfill two functions:(1) It can be regarded as negative taxes, for e.g. government subsidises the provision of publicgoods;(2) Corrective measure to internalise externalities, for e.g. government can subsidise activitiesthat have positive externalities an amount equaling its external benefit.5.2.3. Subsidies: subsidy incidence on sellersThe government pays sellers a subsidy of $1.00 for each unit sold.This shifts supply to the right (supply increases) by the amount of the subsidy.Like a tax, the subsidy creates a wedge between the price buyers pay ($2.40), and the price sellers receive ($3.40).In this case the subsidy is paid to sellers, yet the benefits areenjoyed by both buyers and sellers. The price buyers pay is lower than before and the price sellers receive is higher. Moreover, the quantity traded rises as a result of the subsidy.The market outcomes are identical if the subsidy is paid to buyers.How subsidies affect market outcomes:Subsidies encourage market activity:• When a good is subsidised, the quantity traded rises;• Buyers pay less for the good and sellers receive more (the government makes up the difference).Buyers and sellers share the benefit. It does not matter whoreceives the subsidy. The effects on the market and the subsidy incidence are identical.Supply 2Demand$3 $2.40120100 PriceQuantity $3.40 Equilibrium with subsidySubsidy $1.00Supply 1Equilibrium without subsidyThe demand of first home buyers for housing tends to be relatively elastic. The supply of housing tends to be relatively inelastic.The subsidy creates a wedge between the price paid by buyers and the price received by sellers.The price buyers pay does not fall much, so buyers gain a small benefit. In contrast, the price sellers receive rises substantially, indicating that sellers gain most of the benefit.Price QuantityPrice buyers payDemand1SupplyPrice sellers receivePrice without subsidy Subsidy ($7000)Sellers’ shareBuyers’ shareUnder this scheme, to assist first time home buyers,the government pays buyers a subsidy of $7000 when they purchased their first home.Using the tools of demand, supply and elasticity, we can determine who gets the benefits from this scheme.Demand2 5.2.3. Subsidies: application - who benefits from the First Home Owner Grant scheme?。
语言学笔记陈银2014/4/5Lecture 5Chapter 2 Speech Sounds (Lecture 2)2.3.1 From Phonetics to PhonologyPretest⏹Q1. Define phonology⏹Q2. Explain the relation between phonetics and phonology.A1: Phonology is the study of the sound patterns and sound systems of languages.A2: Relation between Phonetics and Phonology:•Similarity: both studying speech sounds;⏹Dissimilarity:•Phonetics --- sounds‟ classification & description;•Phonology --- rules of sound system.Q3: why does “a” in “map” has a nasal quality?A: If a nasal consonant (such as [m]) precedes an oral vowel (such as [æ] in map) , some of the nasality will carry forward so that the vowel [æ] will begin with a somewhat nasal quality. This is because in producing a nasal the soft palate is lowered to allow airflow through the nasal tract. To produce the course it takes time for the soft palate to move from its lowered position to the raised position. This process is still in progress when the articulation of [æ] has begun.Coarticulation⏹When simultaneous or overlapping articulations are involved, we call the processcoarticulation.⏹If the sound becomes more like the following sound, it is known asanticipatory coarticulation.⏹lamb⏹s eat / s oup⏹If the sound shows the influence of the preceding sound, it is perseverativecoarticulation. mapPhonetic transcription⏹Nasalization•l a mb [ æ ]⏹(with a diacritic ~ to indicate the vocal [æ] has been nasalized.)⏹Aspiration•p eak[ph]⏹(with a diacritic h to indicate the voiceless bilabial stop [p] isaspirated.)•[p] is aspirated in peak and unaspirated in speak.⏹Phonetic transcription⏹When we use a simple set of symbols in our transcription, it is called a broadtranscription.⏹The use of more specific symbols to show more phonetic detail is referred to as a narrowtranscription.⏹Diacritics: the set of symbols in IPA, which are added to the letter-symbols to bring outfiner distinctions than the letters alone may possibly do.pit [phit]⏹ Broad transcription with letter-symbols only spit [spit]⏹Narrow transcription with letter-symbols together with the diacritics. pit [p h it]e.g.clear [ l ] as in let, play ( before a vowel: clear)[ l ]dark [ ɫ ] as in tell, feel (after a vowel: dark)aspirated [ ph] as in pit, peak[ p]unaspirated [ p] as in spit, speed1. The space between the two vocal cords is called ______.2.The most flexible speech organ in articulation is the ______.3. When produced with somewhat obstruction of the airflow somewhere in the mouth, thesounds must be ______.4. Phoneticians apply two standards to classify consonants: one is _____________________,i.e. the part of the vocal tract at which the constriction, obstruction or block is formed; theother is____________________, i.e. the way that the airstream is blocked, constricted, or obstructed.5. The consonants that are produced by closing the two lips first and let them open with theburst of the airflow are called_________.6. The two interdentals in English are the voiceless ___ and the voiced ___ respectively.7. The English consonants are either ______ or ______ depending on whether thevelum is raised or lowered.2.3.2 Phonemes⏹Phonology is not specifically concerned with the physical properties of the speechproduction system.•Phoneticians are concerned with how sounds differ in the way they are pronounced while phonologists are interested in the patterning of such soundsand the rules that underlie such variations.⏹Crystal: …Phonological analysis relies on the principle that certain sounds cause changesin the meaning of a word or phrase, whereas other sounds do not‟.•Minimal pairs test•PhonemesMinimal pairs(最小对立体):Phonological analysis relies on the principle that certain sounds cause changes in the meaning of a word.e.g. [t] and [d]: tin/din, tie/die[i:] and [i]: beat/bit, bead/bidThese important units are called phonemes2.2.1 Minimal PairDefinition:• A minimal pair refers to two different words which are identical in every way in pronunciation except one sound that takes place at the same position.Examples:•[pit] vs. [bit]•[bet] vs. [bæt]Minimal pairs最小对立对⏹Three requirements for identifying minimal pairs:•1) different in meaning;•2) only one phoneme different;•3) the different phonemes occur in the same phonetic environment.⏹ e.g. p at vs. fat⏹Minimal set: pat, mat, bat, fat, cat, hat, etc.The phoneme theoryPhoneme: units of explicit sound contrast, built on the idea of contrastLanguages differ in the selection of contrastive sounds.In English, the distinction between aspirated [ph] and unaspirated [p] is not phonemicBy convention, phonemic transcriptions are placed between slant lines (//), while phonetic transcriptions are placed between square brackets ([ ]).In phonetic terms, phonemic transcriptions represent the “broad” transcriptionPhone /phonemebead bean pit spit[bi:d] [b ĩ:n] [phit] [spit]⏹/b/ /i:/ /d/ /n/ /p//i/ /s/ /t/—phonemes⏹[b] [i:] [d] [ ĩ:] [n] [ph ] [p] [ i ] [t] [s]—phonesPhoneDefinition:A phone refers to the smallest perceptible discrete segment of sound in a stream of speechExamples:•[p], [e], [n] in [pen]•[b], [u], [l], [i], [t] in ['bulit];Phoneme音位⏹Any speech sound segments that can distinguish or contrast words in sound andmeaning are called phonemes.⏹ A phoneme is the minimal or smallest distinctive linguistic unit in a language.⏹Languages differ in the selection of contrastive sounds.⏹In English, the distinction between aspirated [ph]and unaspirated [p]is notphonemic. [fəuˈni:mik]⏹In Chinese, however, the distinction between /p/ and /ph/ is phonemic.Phone vs. phonemePhone:phonetic unit A phone refers to the smallest perceptible discrete segment of sound in a stream of speech.physical as heard or produced marked with [ ]Phoneme: phonological unit Any speech sound segments that can distinguish or contrast wordsin sound and meaning are called phonemes. /A phoneme is the minimal or smallest distinctive linguistic unit in a language. Abstract marked with / /2.3.3 Phoneme & Allophones⏹Definitions:A phoneme is the minimal or smallest distinctive linguistic unit in a language.Allophones are phonic variants of a phoneme, which share more phonetic features in common and which are phonetically conditioned each.Allophones are possible variants or realization of a phoneme in different phonetic environment. allophone 音位变体⏹allophone: phonic variants/realizations of a phoneme⏹ A phoneme is realized as allophone1+allophone2+….• e.g. /p/=[ ph ] + [ p]⏹In this case the allophones are said to be in complementary distribution because theynever occur in the same context:⏹ALLOPHONES (音位变体): the variants of a phoneme⏹ALLOPHONY/ALLOPHONIC V ARIATION: the phenomenon of variation in thepronunciation of phonemes in different position⏹COMPLMENTARY DISTRIBUTION(互补分布): the allophones never occur in thesame context(1) /p/ [p=] / [s] __________[ph] elsewhere(2) /l/ [l] / _______ V[ł]/ V _______●Q: Are all the phones in complementary distribution allophones?⏹PHONETIC SIMILARITY (语音相近): allophones of a phoneme must bear somephonetic resemblanceE.g. [l, ł] lateral approximants only differing in places of articulation●NOTE: Allophy: complementary distribution + phonetic similarity⏹FREE V ARIANTS: the pronunciation difference may be caused by dialect, habit, region,or individual preference, instead of by any distribution ruleIndividual differenceE.g., cup: [khΛph], [khΛp┐]┐: no audible releaseDialectical differenceE.g., either: [i:ðə], [aiðə]2.4 Phonological processes and phonological rules2.4.1 AssimilationNasalization, dentalization, and velarization are all instances of assimilation, a process by which one sound takes on some or all the characteristics of a neighboring sound.1.If a following sound is influencing a preceding sound, we call it regressiveassimilation.2.If a preceding sound is influencing a following sound, it is known as progressiveassimilation.⏹These changes exhibit PHONOLOGICAL PROCESSES in which a TARGET orAFFECTED SEGMENT undergoes a structural change in certain ENVIRONMENTS or CONTEXTS.⏹In each process the change is conditioned or triggered by a following sound.⏹Any phonological process must have three aspects to it:⏹A) a set of sounds to undergo the process⏹B) a set of sounds produced by the process⏹C) a set of situations in which the process applies⏹/v/ ◊ [f] /z/ ◊ [s] etc.⏹voiced fricative ◊ voiceless / ____ voiceless⏹This is a PHONOLOGICAL RULE.⏹ A voiced fricative is transformed into the corresponding voiceless sound when itappears before a voiceless sound.⏹Nasalization rule:[-nasal] ◊ [+nasal] / ____ [+nasal]⏹Dentalization rule:[-dental] ◊ [dental] / ____ [dental]⏹Velarization rule:[-velar] ◊ [+velar] / ____ [+velar]⏹DEVOICING(清音化): a process by which voiced sounds become voiceless, in suchcontexts does not occur with other sounds (such as stop and vowels)E.g., [f, v; θ, ð; s, z; ʃ; ʒ; t ʃ; dʒ]●/v/ [f]V oiced fricatives are transformed into voiceless fricatives before voiceless segments.●voiced fricative voiceless/ ________ voiceless“A voiced fricative is transformed into the corresponding voiceless sound when it appears before a voiceless sound.”⏹PHONOLOGICAL PROCESSES :a process in which a TARGET or AFFECTED SEGMENT undergoes a structural change in certain ENVIRONMENTS or CONTEXTS⏹Three aspects of phonological processa set of sounds to undergo the process;a set of sounds produced by the process;a set of situations in which the process applies.⏹PHONOLOGICAL RULE“/” : to specify the environment in which the change takes placeFocus bar (焦点横线): to indicate the position of the target segmentE.g., Nasalization rule[- nasal] [+nasal]/_____[+ nasal]Dentalization, velarization rule2.4.2 Epenthesis, Rule Ordering and Elsewhere ConditionEx.a. a hotel, a boy, a white houseb. an apple, an honour, an old lady●NOTE: It is the lack of a consonant that requires the nasal [n] to be added to the article“a”.⏹EPENTHESIS : the process of inserting a nasal soundØ [n] / [ə] ________ V●NOTE: The regular plural and past tense forms also exhibit similar rules.Ex.a. desk [dεsk] desks [dεsks]b. chair [tʃeə] chairs [tʃeəz]c. bus [bΛs] buses [bΛsəz]⏹-(e)s: [s], [z], [əz] (See pp. 45)⏹/s/ is found after /t, k/ (the preceding sound is a voiceless consonant other than / s, ʃ, tʃ/)⏹/z/ appears after: /l, ə, n, b, d, g, əu/ (the preceding sound is a vowel or a voiced consonant)other than /z, ʒ, dʒ /⏹/əz/ occurs after /s, z, ʃ, ʒ, tʃ, dʒ /SIBILANTS(咝擦音): a speech sound (consonant) which is produced with friction and which has an s-like quality, e.g., /s, z, ʃ, ʒ, tʃ, dʒ /For the plural forms:⏹The /s/ appears after voiceless sounds.⏹The /z/ appears after voiced sounds.⏹The /əz/ appears after sibilants.UNDERLYING FORM / UNDERLYING REPRESENTATION (UR): the basic form (or the form which appears in most cases), e.g., /z/SURFACE FORM / SURFACE REPRESENTATION (SR):the derived form, e.g., /s, əz/⏹z s/[-voiced, C]________⏹Ø [ə]/sibilant _____ [z]a. //si:t + z//b. //bε d + z//c. //keIs + z//s N/A *s Devoicing N/A N/A N/A Epenthesissi:ts bεdz *keIss Outputa. //si:t + z//b. //bε d + z//c. //keIs + z//N/A N/A ə Epenthesiss N/A N/A Devoicingsi:ts bεdz keIsəz OutputConclusion:Epenthesis is applied before devoicing.⏹Rule ordering⏹Elsewhere Condition: The more specific rule applies first.2.4.3 Distinctive features⏹The idea of Distinctive Features was first developed by Roman Jacobson (1896-1982) inthe 1940s as a means of working out a set of phonological contrasts or oppositions to capture particular aspects of language sounds.Distinctive Feature Theory⏹Distinctive feature theory was proposed by Roman Jakobson in the1950s.⏹The core of it is binary opposite.⏹The purpose of it to reduce the number of phonemic features to the minimum so thatsome main features can be used to explain all the oppositions of phonemes in all the languages in the world.⏹For example, aspiration is a distinctive feature in Chinese . While voicing is a distinctivefeature in English.⏹Distinctive features⏹phonetic features :contrast meanings of words / distinguish onephoneme from another.Distinctive featurese.g. [±voiced]Examples:•[b it]vs.[p it]•[d ip]vs.[t ip]•[g id]vs.[k id]Nondistinctive featurese.g [ ±aspirated ]; [ ±nasal ]Examples:•[spit] [phit];•[stik] [sthik];•[skip] [skhip];•[b i:n] [sbĩ:n]Distinctive features⏹Some of the major distinctions include [consonantal], [sonorant], [nasal] and [voiced].•[consonantal] : consonants [+consonantal]vowels [–consonantal]•[sonorant] : obstruents [–sonorant]•others [+sonorant]⏹[sonorant] distinguishes between obstruents (stops, fricatives andaffricates) and sonorants (all other consonants and vowels)⏹These are known as binary features denoted by ‘ + ’ and ‘–’.ReviewDistinctive features Exercises⏹Specify the difference between each pair of sounds using features.⏹l.[l] [ɫ] 2.[ph] [p] 3.[ tʃ] [d3] 4.[k] [g] 5.[i] [u]2.5 Suprasegmentals⏹Suprasegmental features are those aspects of speech that involve more than singlesound segments.⏹The principal suprasegmentals are:2.5.1 The syllable structurec.f. Chinese and English syllable structure⏹Chinese: MONOSYLLABIC (with one syllable)⏹English: MONOSYLLABIC or POLYSYLLABIC (with more than one syllable)⏹NUCLEUS/PEAK (核心/峰): vowel or consonant, e.g., table [teibl]:[tei], [bl]⏹RHYME (or RIME) (韵基), ONSET (节首)⏹NUCLEUS (核心): the vowel within the rhyme⏹CODA (节尾): the consonant(s) after the nucleus⏹Open syllable: bar, tie⏹Closed syllable: bard, tied⏹Maximal Onset Principle (MOP)•When there is a choice as to where to place a consonant, it is put into the onset rather than the coda.•This explains the question of why /l/ in telling is pronounced as the clear [l].2.5.2 Stress⏹Stress refers to the degree of force used in producing a syllable. In transcription, araised vertical line [│] is often used just before the syllable it relates to.• A basic distinction i s made between stressed and unstressed syllables, the former being more prominent than the latter, which means that stress is a relativenotion.⏹At the word level, it only applies to words with at least two syllables.⏹At the sentence level, a monosyllabic word may be said to be stressed relative to otherwords in the sentence.⏹The stress pattern in English is no easy matter. In principle, the stress may fall on antsyllable. They also change over history and exhibit regional or dialectal differences. Changing English Stress PatternBecoming norm⏹inTEGral⏹coMMUNal⏹forMIDable⏹conTROVersy⏹INtegral⏹COMMunal⏹FORmidable⏹CONtroversyRP vs. GARP⏹laBORatory⏹DEBris⏹GARage GA⏹LABoratory⏹deBRIS⏹gaRAGEV vs. NVerb⏹conVICT⏹inSULT⏹proDUCE⏹reBEL Noun⏹CONvict⏹INsult⏹PROduce⏹REbelCompound vs. PhraseCompound Phrase⏹BLACKboard ⏹BLACKbird ⏹black BOARD ⏹black BIRDPrimary vs. Secondary StressepiphenomenalunsatisfactorydiscriminationstandardizationcommunicationindustrializationSentence Stress⏹Sentence stress is much more interesting. In general situations, notional words arenormally stressed while structural words are unstressed.⏹Sentence stress is often used to express emphasis, surprise, etc. so that in principle stressmay fall on any word or any syllable.e.g.John bought a red car.JOHN bought a red car.John BOUGHT a red car.John bought a RED car.John bought a red CAR.2.5.3 Intonation⏹Intonation involves the occurrence of recurring fall-rise patterns, each of which isused with a set of relatively consistent meanings, either on single words or on groups of words of varying length.For example, the fall-rise tone in English typically involves the meaning of a contrast within a limited set of items stated explicitly or implicitly.(Isn’t her name Mary?) No / ∨ Jenny⏹The old man didn‟t come / whereas the ∨young man / did come and actually enjoyedhimself⏹∨I didn‟t do it2.5.4 ToneChinese tone changes are used in a different way, affecting the meanings of individual words.Languages like Chinese are known as tone languages.Study Questions1. Define the following terms:coarticulation phonemeallophone assimilationstress intonation2. What is the difference between an allophone and a phoneme?3. Which of the following words would be treated as minimal pairs?ban, fat, pit, bell, tape, heat, meal, more, pat, pen, chain, vote, bet, far, bun, goat, heel,sane, tale4. What is assimilation and what is a phonological rule?5. What is the difference between an open and a closed syllable?6. Individual sounds are described as segments. What are suprasegmentals? Group WorkGroup 5 Chapter 3 3.1。
第五讲 载流子产生与复合(续)
9月12,2001
内容:
1.热平衡之外的G&R率
2.表面产生与复合
阅读作业
del Alamo Ch. 3,§§3.4 ,3.6
主要问题
●当载流子浓度被扰动而偏离热平衡时的值时,对产生和复合之间的平衡发生了什么影响?
●对每个G&R机制是如何打乱的?
●决定G&R率平衡的主要因素是什么?
●如何能表征表面G&R?
⒈ 平衡之外的G&R率●在热平衡时:
●在热平衡之外(载流子浓度被扰动而偏离热平衡时的值):
如果,G R 载流子浓度随时间变化。
定义净复合率U 是十分有用的:
U R G
=−反映内部G&R 机制的平衡:
如果0R G U >,净复合占优势
如果0R G U <,净产生占优势
如果几个机制同时作用,定义:
i i i
U R G =−而
i
U U =在热平衡之外的不同机制对G&R 率会发生什么影响?
a )能带到能带光学G&R
●光产生率没有变化,因为键合数目没有变化:
00
rad rad rad G g r n p ==●如果电子和空穴浓度发生变化时,光复合率受到影响:
rad rad R r np
=●定义净复合率:
()
00rad rad rad rad U R G r np n p =−=− -如果00np n p >,0rad U >,净复合占优势
-如果00np n p <,0rad U <,净产生占优势
●注意:我们假定rad g 和rad r 与平衡时无变化
b ) 俄歇G&R
●包括热电子 :
eeh eeh G g n
= 2eeh eeh R r n p
=如果eeh g 和eeh r 间关系和TE 时无差别:
()
00eeh eeh eeh eeh U R G r n np n p =−=−●同样,包括热电子:
()
00ehh ehh U r p np n p =−●总的 俄歇 :
()()
00Auger eeh ehh U r n r p np n p =+−
c ) 与陷阱有关的热G&R
在平衡之外,如果产生复合率常数不受影响:
复合:捕获一个电子+一个空穴
净复合率=净电子捕获率
=净空穴捕获率
tr ec ee hc he
U r r r r =−=−从这,推导出t n ,并最终得到tr U :
()()
00
tr ho i o i
np n p U n n p n ττ−=+++d ) 所有过程组合起来
□ 特殊情况:低水平掺杂
定义过剩载流子浓度:
'0n n n =+ '0p p p
=+LLI :平衡的少数载流子浓度占主导但对多数载流子浓度扰动可以忽略
-对n 型:
-对p型:
在LLI中:
U的所以表达式仿效下面形式:
τ为过程i的载流子寿命,每个G&R过程的一个特征常数:i
在LLI 情况下,净复合率作为材料和温度的一个常数,线性的取决于过剩载流子浓度。
如果所有G&R 过程是独立的,结合的过程: '
n U τ
;而 1
i
ττ=
G&R 过程具有占支配的最小的寿命。
载流子寿命的物理意义:
●
U 是单位为单位体积过剩载流子浓度'n 的净复合率(随'
n 线性变化)●
1U 是单位体积复合事件之间的平均时间●'
n U τ=为每个过剩载流子复合事件之间的平均时间或过剩载流子在;复合前过剩载流子的平均“存活”时间→材料的恒定特性
对n 型材料,00n p ?:
陷阱复合(n型材料):
●寿命不取决于0n[陷阱占有几率对0n相当不敏感]
τ−
●寿命取决于陷阱浓度如1t N
□ Si 在300K 测量的载流子寿命
对低掺杂水平,173,10A D N cm −<,tr τ占主导:
●
τ取决于材料质量和过程→宽的分散数据●t N 与,A D N 相关→1,A D
N τ−对高掺杂水平,183,10A D N cm −>,Auger τ占主导:
●
“本征的”复合→紧密的数据分布●2,A D
N τ−
2. 表面产生与复合表面:周期性的晶体严重损坏许多陷阱(G&R中心)
在LLI情况下:
S表面复合速度(cm/s)
注意单位:
S 是“冲”到表面复合的过剩载流子速度的垂直分量。
主要结论
●
过剩的np 乘积是净产生/复合的驱动力。
●在低水平注入情况下:
这里τ载流子寿命
●载流子寿命:复合前过剩载流子的平均“存活”时间。
●Si 在300K 左右时,
-1N τ−:对低的N (陷阱有关的复合),
-2N τ−:对高的N (Auger 复合)
●Si 在300K 时主要参数的数量级大小:
-11,ns ms τ−: 取决于掺杂
自学 载流子抽取,产生寿命。