
Rotations In a doubles game, the players have to take turns hitting the ball with their partner. After each shot, a player has to move out so that the partner can get into the best position for the next shot. It is very important that both players establish an effective rotation pattern and alternative rotation patterns. 1. Circular Rotations (Figure 16.1) Each player moves in a circular way behind the partner after each shot and should be ready to move up and hit. Both players move the same way and two left-handed or right-handed aggressive players can use this movement. 125 16.1 circular rotations 2. Up and Down Rotations (Figure 16.2) Each player moves toward table in a diagonal way to return a shot then back up the same way. One left-handed and one right-handed pair use this rotation. 16.2 up and down rotations 3. T-Rotations (Figure 16.3) The front person moves sideways and the back person moves back and forth. Mostly pairs of one fast style player (front) and one loop style player (back), or one close-table offensive player (front) and one slice style player (back) use this rotation. 16.3 âTâ rotations 4. Triangle Rotations (Figure 16.4) Each player using this rotation pattern moves to sides to return shot, then step back to the middle for the next shot in a triangle way. It is used often to return angles shots to sides and it is similar to the circular rotation. 126 16.4 triangle rotations Teamwork and Strategies 1. Establish a good rotation and movement patterns. 2. Create chances for your partner when returning a shot or serve. 3. Cover your partner's weaknesses. 4. Attack the weaker opponent. 5. Hit to the opponent who just finished the shot and is moving away. 6. Use your best serves and shots in games to ensure your best play and reduce mistakes. 7. Change serves and shots to keep opponents guessing what the next motion will be. 8. Change speed, power, lines and placement of the shots and serves to avoid opponents adapting to them. 9. Combine spin and flat serves to force opponent make more mistakes. 10. Attack opponentsâ weaknesses. 11. Avoid the strength of opponent. For example, hit to the backhand if opponent is strong at forehand, or use more short chop shots if opponent is very aggressive. 12. Hit to the openings, weak side, and an opponent's body.
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Classification of plants ⢠Plants can be classified as cultivated and wild plants. ⢠Both cultivated and wild plants are very useful to people, animals and the environment. 1. Cultivated plants: ⢠Cultivated plants are plants grown by people for selling. ⢠They can be grown in the field, vegetable garden, home garden and orchard. Classification of plants 2. Wild plants ďWild plants are plants that grow on their own outside the garden, orchard or field. ďThey have many uses such as: ⢠Food for people and animals ⢠Shelter ⢠Source of fuel in form of firewood. ⢠Examples include, grasses, msasa, yellow wood, mahogany, mopane Plant Nutrition ⢠The presence of plant nutrients in the soil make them grow well. ⢠The three major plant nutrients are nitrogen, phosphorus and potassium. Sources of plant nutrients ⢠The source for plant nutrients are grouped into organic and inorganic sources. Organic sources of plant nutrients ⢠These are found in nature. ⢠They are natural materials such, decayed plant and animal matter which include: ⢠Animal manure from cattle, sheep, goats, poultry and pigs. ⢠Green manure ⢠Legume crops like beans, peas and groundnuts. ⢠Humus ⢠These material sources may also be called natural fertilizers. Inorganic sources of plant nutrients ⢠These are sources of plant nutrients made by people in industries. They include: ⢠Compound fertilizers like compound A, B, C and D. ⢠These have two or more nutrients. ⢠Straight fertilizers like ammonium nitrate, single super phosphate and urea. ⢠A straight fertilizer supplies a single or more nutrient to the crop. A straight fertilizer A Compound fertilizer Sources of N,P,K ⢠Ammonium nitrate and Urea- contain nitrogen Double super Phosphate, Single super phosphate-contain phosphorus ⢠Muriate of Potash contains Potassium 2 . Compound fertilisers -have two or three of the three major plant nutrients (N.P.K). N-nitrogen P-phosphorus K-potassium Examples Compound D Wednesday 17 May 2023 Revision exercise (Plant nutrition) 1 .Name the 3 plant nutrients needed by plants. 2. What are the 2 groups of plant nutrients sources? 3. Give 3 examples of organic sources of plant nutrients. 4. What is a straight fertilizer? 5. Compound fertilizer supplies âŚâŚâŚâŚâŚor âŚâŚâŚâŚâŚâŚ. Nutrients. Vegetable crops ⢠A vegetable is any part of a plant that is eaten by humans as food part of a meal. ⢠Vegetables are grouped and named according to the part that is eaten. ⢠These are leaf, root, fruit, flower, bulb, tuber and legume vegetables. Leaf vegetables Types of veg Legume etable cropsvegetables Fruit vegetables Root, bulb and tuber Flower vegetables Cabbage Peas Tomato Root: carrots Cauliflower Rape Green beans Pepper Parsnip broccoli Spinach Melons Beetroot Tsunga Cucumber Bulb: onion Lettuce Squash Garlic kale Egg plant Leek chillies Tuber: Irish potato Wednesday 31 May 2023 Vegetable crops 1. What is a vegetable? 2. Which one is not a vegetable from the list below? a. Covo B. cabbage C. wheat D. tomato 3. Choose a vegetable which is not a fruit vegetable. a. tomato B. pepper C. kale D. egg plant 4. From which pair of vegetables do we eat the flower? A. cauliflower and garlic B. broccoli and cauliflower C. broccoli and rape D. cauliflower and pepper 5. Give one example of a vegetable belonging to each of the following groups. a. root b. legume c. bulb 6. Name any 5 groups of vegetable classification according to the parts eaten. Growing leaf vegetables ⢠Although there are many types of vegetables, the leaf, fruit and bulb vegetables are widely grown. ⢠Leaf vegetables form the greater part of vegetable crops. ⢠Leaf vegetables belong to a family called brassica. ⢠Brassicas include cabbages, lettuce, spinach, covo and many others. ⢠Each brassica family has got its own varieties called cultivar. ⢠They usually grow under the same climatic conditions and are affected by the same pests and diseases. ⢠The selection of a variety depends on the following : ďźThe intended use of the vegetable, for example, salad, stew or snacks. ďźDays taken to mature. ďźDisease resistant ďźSeason of the year Seedbed preparation ⢠Brassica vegetables are usually raised in seedbeds. ⢠The seedbeds are prepared by: ⢠Marking the position of the bed 1 meter in width by any length using a tape measure, hammer and pegs. ⢠Digging a seedbed to a depth of 25 to 30cm using a hoe. ⢠Breaking lumps of soil using a garden rake. Soil requirements ⢠Brassicas need: ⢠Well drained soils. ⢠Fertile soil for good growth ⢠Slightly acidic soils (pH 5.5-6) Climatic requirements ⢠Brassicas need cool to warm temperatures. ⢠Very low temperatures cause cabbages to flower which is called bolting. ⢠Brassicas can be grown throughout the year. Seedbed preparation ⢠Brassica seedlings are usually raised in seedbeds. ⢠A seedbed is prepared by: ďźMarking the position of the bed 1 metre in width by any length using a tape measure, hammer and pegs. ďźDigging a seedbed to depth of 25 to 30 cm using a hoe. ďźBreaking lumps of soil using a garden rake. ďźThis is done in order to have a fine tilth and improve soil to seed contact. ďźMaking ridges that a 15cm high. ďźApply 3 to 5kg/m² of well decomposed manure. ďźď 60 to 100g/m² of compound fertilizer can be added into the soil. Management of vegetable crops ⢠After transplanting the seedlings, the seedlings need to be looked after. (a)Controlling weeds: all vegetables must be kept weed free. ⢠This is done either by hand pulling weeds or shallow cultivation using a hand fork. (b) Pest control: common pests that affect the brassicas are aphids and diamond black moth larva. ⢠Aphids are small green insects that suck the juice from the leaves leaving them with curls. ⢠They are controlled by spraying malathion using the instructions on the label. (c) Disease control: bacterial diseases are common in brassicas. ⢠Common diseases are black rot and soft rot, especially in cabbages. ⢠These are controlled by: ďźCrop rotation ďźEarly planting ďźPlanting resistant cultivars (d) Top dressing: brassicas are top dressed using Ammonium Nitrate at a rate of 2.5g per plant. ⢠Top dressing is usually done 3 or 4 weeks after germination. FIELD CROPS ⢠Field crops are crops that are grown on a large piece of land. ⢠Example of field crops: ďź Maize ďź Cotton ďź Groundnuts ďź Roundnuts ďź Wheat ďź Sunflower ďź Tobacco ďź Sugar cane ďź Tea ďź Coffee ďź Soya beans ďź sorghum Classification of field ⢠Field crops can be classified according to use such crops cereal, fibre, sugar and oil. 1. Cereal crops: ⢠A cereal is a grass grown for its edible seeds. ⢠They are also known as grain crops. ⢠The major cereal crops are maize, wheat, rice, barley, sorghum and millet. 2 . fiber crops : ⢠these are crops which are grown for their fiber and are used in making textiles, ropes and rugs. ⢠Important fiber crops are cotton, flax and sisal 3. Oil seed crops: ⢠These crops are grown for the purpose of extracting oil from their seed. ⢠The main oil seed crops are groundnuts, sunflower, soyabean and cotton seed. 4 . Sugar crops : ⢠Sugar crops include sugarcane,
Fed. 51: To the People of the State of New York: TO WHAT expedient, then, shall we finally resort, for maintaining in practice the necessary partition of power among the several departments, as laid down in the Constitution? The only answer that can be given is, that as all these exterior provisions are found to be inadequate, the defect must be supplied, by so contriving the interior structure of the government as that its several constituent parts may, by their mutual relations, be the means of keeping each other in their proper places. Without presuming to undertake a full development of this important idea, I will hazard a few general observations, which may perhaps place it in a clearer light, and enable us to form a more correct judgment of the principles and structure of the government planned by the convention. In order to lay a due foundation for that separate and distinct exercise of the different powers of government, which to a certain extent is admitted on all hands to be essential to the preservation of liberty, it is evident that each department should have a will of its own; and consequently should be so constituted that the members of each should have as little agency as possible in the appointment of the members of the others. Were this principle rigorously adhered to, it would require that all the appointments for the supreme executive, legislative, and judiciary magistracies should be drawn from the same fountain of authority, the people, through channels having no communication whatever with one another. Perhaps such a plan of constructing the several departments would be less difficult in practice than it may in contemplation appear. Some difficulties, however, and some additional expense would attend the execution of it. Some deviations, therefore, from the principle must be admitted. In the constitution of the judiciary department in particular, it might be inexpedient to insist rigorously on the principle: first, because peculiar qualifications being essential in the members, the primary consideration ought to be to select that mode of choice which best secures these qualifications; secondly, because the permanent tenure by which the appointments are held in that department, must soon destroy all sense of dependence on the authority conferring them. It is equally evident, that the members of each department should be as little dependent as possible on those of the others, for the emoluments annexed to their offices. Were the executive magistrate, or the judges, not independent of the legislature in this particular, their independence in every other would be merely nominal. But the great security against a gradual concentration of the several powers in the same department, consists in giving to those who administer each department the necessary constitutional means and personal motives to resist encroachments of the others. The provision for defense must in this, as in all other cases, be made commensurate to the danger of attack. Ambition must be made to counteract ambition. The interest of the man must be connected with the constitutional rights of the place. It may be a reflection on human nature, that such devices should be necessary to control the abuses of government. But what is government itself, but the greatest of all reflections on human nature? If men were angels, no government would be necessary. If angels were to govern men, neither external nor internal controls on government would be necessary. In framing a government which is to be administered by men over men, the great difficulty lies in this: you must first enable the government to control the governed; and in the next place oblige it to control itself. A dependence on the people is, no doubt, the primary control on the government; but experience has taught mankind the necessity of auxiliary precautions. This policy of supplying, by opposite and rival interests, the defect of better motives, might be traced through the whole system of human affairs, private as well as public. We see it particularly displayed in all the subordinate distributions of power, where the constant aim is to divide and arrange the several offices in such a manner as that each may be a check on the other that the private interest of every individual may be a sentinel over the public rights. These inventions of prudence cannot be less requisite in the distribution of the supreme powers of the State. But it is not possible to give to each department an equal power of self-defense. In republican government, the legislative authority necessarily predominates. The remedy for this inconveniency is to divide the legislature into different branches; and to render them, by different modes of election and different principles of action, as little connected with each other as the nature of their common functions and their common dependence on the society will admit. It may even be necessary to guard against dangerous encroachments by still further precautions. As the weight of the legislative authority requires that it should be thus divided, the weakness of the executive may require, on the other hand, that it should be fortified. An absolute negative on the legislature appears, at first view, to be the natural defense with which the executive magistrate should be armed. But perhaps it would be neither altogether safe nor alone sufficient. On ordinary occasions it might not be exerted with the requisite firmness, and on extraordinary occasions it might be perfidiously abused. May not this defect of an absolute negative be supplied by some qualified connection between this weaker department and the weaker branch of the stronger department, by which the latter may be led to support the constitutional rights of the former, without being too much detached from the rights of its own department? If the principles on which these observations are founded be just, as I persuade myself they are, and they be applied as a criterion to the several State constitutions, and to the federal Constitution it will be found that if the latter does not perfectly correspond with them, the former are infinitely less able to bear such a test. There are, moreover, two considerations particularly applicable to the federal system of America, which place that system in a very interesting point of view. First. In a single republic, all the power surrendered by the people is submitted to the administration of a single government; and the usurpations are guarded against by a division of the government into distinct and separate departments. In the compound republic of America, the power surrendered by the people is first divided between two distinct governments, and then the portion allotted to each subdivided among distinct and separate departments. Hence a double security arises to the rights of the people. The different governments will control each other, at the same time that each will be controlled by itself. Second. It is of great importance in a republic not only to guard the society against the oppression of its rulers, but to guard one part of the society against the injustice of the other part. Different interests necessarily exist in different classes of citizens. If a majority be united by a common interest, the rights of the minority will be insecure. There are but two methods of providing against this evil: the one by creating a will in the community independent of the majority that is, of the society itself; the other, by comprehending in the society so many separate descriptions of citizens as will render an unjust combination of a majority of the whole very improbable, if not impracticable. The first method prevails in all governments possessing an hereditary or self-appointed authority. This, at best, is but a precarious security; because a power independent of the society may as well espouse the unjust views of the major, as the rightful interests of the minor party, and may possibly be turned against both parties. The second method will be exemplified in the federal republic of the United States. Whilst all authority in it will be derived from and dependent on the society, the society itself will be broken into so many parts, interests, and classes of citizens, that the rights of individuals, or of the minority, will be in little danger from interested combinations of the majority. In a free government the security for civil rights must be the same as that for religious rights. It consists in the one case in the multiplicity of interests, and in the other in the multiplicity of sects. The degree of security in both cases will depend on the number of interests and sects; and this may be presumed to depend on the extent of country and number of people comprehended under the same government. This view of the subject must particularly recommend a proper federal system to all the sincere and considerate friends of republican government, since it shows that in exact proportion as the territory of the Union may be formed into more circumscribed Confederacies, or States oppressive combinations of a majority will be facilitated: the best security, under the republican forms, for the rights of every class of citizens, will be diminished: and consequently the stability and independence of some member of the government, the only other security, must be proportionately increased. Justice is the end of government. It is the end of civil society. It ever has been and ever will be pursued until it be obtained, or until liberty be lost in the pursuit. In a society under the forms of which the stronger faction can readily unite and oppress the weaker, anarchy may as truly be said to reign as in a state of nature, where the weaker individual is not secured against the violence of the stronger; and as, in the latter state, even the stronger individuals are prompted, by the uncertainty of their condition, to submit to a government which may protect the weak as well as themselves; so, in the former state, will the more powerful factions or parties be gradnally induced, by a like motive, to wish for a government which will protect all parties, the weaker as well as the more powerful. It can be little doubted that if the State of Rhode Island was separated from the Confederacy and left to itself, the insecurity of rights under the popular form of government within such narrow limits would be displayed by such reiterated oppressions of factious majorities that some power altogether independent of the people would soon be called for by the voice of the very factions whose misrule had proved the necessity of it. In the extended republic of the United States, and among the great variety of interests, parties, and sects which it embraces, a coalition of a majority of the whole society could seldom take place on any other principles than those of justice and the general good; whilst there being thus less danger to a minor from the will of a major party, there must be less pretext, also, to provide for the security of the former, by introducing into the government a will not dependent on the latter, or, in other words, a will independent of the society itself. It is no less certain than it is important, notwithstanding the contrary opinions which have been entertained, that the larger the society, provided it lie within a practical sphere, the more duly capable it will be of self-government. And happily for the REPUBLICAN CAUSE, the practicable sphere may be carried to a very great extent, by a judicious modification and mixture of the FEDERAL PRINCIPLE. PUBLIUS.
The Revolt of the Northern Earls (1569) Most people in the North remained loyal to the Catholic noble families who controlled the north and their Catholic faith. When Elizabeth came to power, she promoted ânew menâ (Protestants) from the gentry and the powerful Catholic nobles lost their power and influence. This led them to organise the most serious rebellion of Elizabethâs reign in 1569. Why did the Northern Earlâs revolt? The Earls had lost their power when Elizabeth became Queen (and wanted it back). They wanted Catholicism restored in England (and felt that ordinary Catholics would support it). Elizabeth was refusing to marry or to name an heir, causing uncertainty about Englandâs future. Mary Queen of Scots (if freed from prison) could replace Elizabeth and solve all these problems Who were the key players in the Revolt? Earl of Northumberland ⢠A Catholic who had held an important position under Mary I. ⢠He lost a lot of influence under Elizabeth (as she favoured Protestant gentry) ⢠Elizabeth also took the rights to a valuable copper mine found on his lands Earl of Westmorland ⢠From a rich Catholic family in the north Also the Duke of Norfolkâs brother in law Duke of Norfolk ⢠Englandâs most senior Protestant noble, but he had very close links to old northern Catholic families, & was sympathetic to them & greedy for power. ⢠He hated William Cecil & Robert Dudley, Earl of Leicester (Elizabethâs favourite) who were Protestant and from the gentry ⢠He planned to marry Mary QS, but later backed down and urged the earls to call off the rebellion. Mary also supported the plan to marry him What role did religion play? (7/10 â but only because it was linked to power) ⢠Most northerners held onto their Catholic beliefs & although Elizabeth didnât persecute them, they knew that she wanted their religion to gradually die out, so they supported the revolt. ⢠In 1561 Elizabeth hired a strict Protestant as archbishop of Durham to promote Protestantism in the north, but he was unpopular & turned many northerners against the Protestant religion. What role did politics/power play? (9/10 â this was the most important cause of the revolt) ⢠The Northern Earls lost a lot of their power/influence (even jobs/money under Elizabeth) ⢠Northumberland was jealous of new Protestant families being given top jobs in the North ⢠William Cecil & Robert Dudley were not from ancient noble families, but were very close to the Queen, so the northern Earls resented them getting top jobs in her Government ⢠Elizabeth also confiscated large areas of land & the profits from their copper mines ⢠It is possible, that had Elizabeth allowed the Catholic Northern Earls to keep their jobs, money and influence at court, they may have âtoleratedâ her as a Protestant Queen (greedy/selfish). What role did Mary Queen of Scots and the Succession play? ⢠Elizabeth was refusing to name an heir and it was becoming clear that she would not marry ⢠If Mary Queen of Scots married the Duke of Norfolk, England would have an heir and England would be Catholic again. The country would be stable without people competing for power. ⢠However, some of Elizabethâs courtiers got worried that it might not work and that it might lead to charges of treason (punishable by death) ⢠So by September 1569, Robert Dudley (Earl of Leicester) decided to tell Elizabeth about the plot. By this time it was much more serious than simply marrying Norfolk to Mary. ⢠Mary QS had secretly asked Spain to send troops to help the rebellion & overthrow Elizabeth Plan for the Revolt of the Northern Earls (1569) ⢠The Earls of Northumberland & Westmorland will raise rebel troops from their lands in the north and take control of Durham. ⢠The rebels will then march south towards London to join with the Duke of Norfolk ⢠1000s of Spanish troops will land in England to support the rebel forces ⢠The Duke of Norfolk & rebel forces will seize control of Government & overthrow Elizabeth ⢠Mary Queen of Scots is to be freed, ready to marry the Duke of Norfolk Key Events of the Revolt ⢠Once Elizabeth knew of the plot, Norfolk was arrested and sent to the Tower of London ⢠The Northern Earls were worried they would be executed for their involvement and in a desperate attempt to avoid punishment, pushed ahead with the revolt ⢠They raised an army of ordinary Catholics and took control of Durham cathedral ⢠Catholic mass was celebrated across the north for 2 weeks. ⢠They then headed south, to try and free Mary ⢠Mary QSs was moved south to Coventry on the orders of Elizabeth, so she couldnât escape ⢠The rebellion failed as Spanish troops never arrived ⢠Elizabethâs friend (Earl of Sussex) had raised an army of 7,000 men to defend her throne. Results: ⢠The rebellion was a serious threat to Elizabeth ⢠She executed 450 rebels in the north ⢠Northumberland was executed in 1572 & his head was put on a spike on the city gate ⢠The Privy Council called for the Duke of Norfolkâs execution too, but Elizabeth released him. ⢠Mary Queen of Scots was kept in prison for the next 14 years. ⢠The failed plot also led the Pope to take action against Elizabeth ⢠In 1570 he excommunicated Elizabeth from the Catholic Church ⢠He also issued a Papal Bull (order) calling on all loyal Catholics to overthrow her hoping it would encourage another rebellion. ⢠In 1571 Elizabeth called parliament to pass an Act making it treason to claim that she was not the rightful Queen and to bring in/print papal bulls in England. The Significance of the Revolt of the Northern Earls ⢠It was the first and most serious rebellion by English Catholics against Elizabeth ⢠Treason laws were made much harsher ⢠It ended the influence of the powerful Catholic Earls in the North ⢠It led to harsher treatment of Catholics, e.g. 1572 Elizabeth sent the Earl of Huntingdon (strict Protestant) to the north to carry out laws against Catholics (and suppress Catholicism). ⢠Although Elizabethâs brutal revenge on the rebels show how serious a threat it was, most Catholics in the north stayed loyal, but the Popeâs Papal Bull now put their loyalty in doubt There was little support for the revolt among the rest of the Catholic nobility and ordinary people. When faced with a choice between Elizabeth and their religion, most Catholics chose to support the Queen. 1569, was the last time English Catholics tried to remove Elizabeth by force. The future plots against her were always uncovered by Cecil & Walsingham, before they had a chance to get any public support. Despite this, the Northern Revolt & Papal Bull changed Elizabethâs attitude towards Catholics who were now seen as potential traitors. From 1570, Elizabeth became less tolerant of recusants (people refusing to attend her church) & took increasingly tough measures against Catholics. The Ridolfi, Throckmorton & Babington plots ⢠In the 1870s-80s, there were 3 Catholic plots to assassinate Elizabeth & replace her with Mary. ⢠The plots were supported by France, Spain, the Pope and some Catholic nobles. ⢠They reinforced the form Mary & from Catholics at home and abroad. Also the threat from Spain. The Ridolfi Plot (1571) ⢠Ridolfi was an Italian banker living in England and a spy for the Pope. ⢠He organised a plot to murder Eliz, marry Mary QS to the Duke of Norfolk & make her Queen. ⢠The Pope & King Philip supported the plot & Philip told the Duke of Alba in the Netherlands to prepare 10,000 troops (but to only invade AFTER the English had overthrown Elizabeth). ⢠The plot failed because Sir William Cecil intercepted coded letters & Norfolk was executed. ⢠Mary was kept under closer watch. ⢠Ridolfi was abroad when the plot was discovered and never returned to England. 1574: Catholic Priests and Priest Holes ⢠From 1574 Catholic priests were smuggled into England to keep the religion alive. ⢠They stayed with rich Catholic families, so Catholic families were kept under surveillance. ⢠Catholic homes were raided â to find âpriest holesâ where Catholic priests were hiding. ⢠Catholic priests who were found could be hung, drawn and quartered (although not all were) ⢠In 1581, Parliament also passed 2 new tougher laws against Catholics: ⢠Recusants would be fined ÂŁ20 (which would bankrupt most families) ⢠Trying to convert people to Catholicism was now treason (punishable by death) The Throckmorton Plot (1583) ⢠It aimed to assassinate Elizabeth and replace her with Mary. The French Duke of Guise (Maryâs cousin) would invade England with an army, funded by King Philip (Pope also supported it). ⢠An Englishman, Throckmorton carried messages between Mary & Catholic plotters abroad. ⢠Sir Walsingham (Secretary of State) uncovered the plot after his agents found the plans for the plot in Throckmortonâs house. Throckmorton confessed under torture and was executed. Significance: ⢠The plots showed that Maryâs presence in England posed a serious threat ⢠It also showed that France & Spain were a serious threat (& could invade) ⢠Throckmortonâs papers showed a list of Catholic supporters in England, so the threat from English Catholics was also real ⢠1,000s of Catholics were imprisoned or kept under surveillance/house arrest ⢠In 1585 another Act was passed to make helping Catholic priests punishable by death. ⢠The Bond of Association was signed by the English nobles & gentry & forced them to promise to execute anyone who tried to overthrow the Queen. Weaknesses of the Plots The plots lacked public support & were uncovered by informers & spies before they had the chance to work King Philip was reluctant to destroy his alliance with Elizabeth (France was still a bigger rival) so is support for the plots was half-hearted, he rarely followed through on his promises to help the plotters or send an army The Babington Plot (1586) In 1586, Walsingham used his spy network to PROVE that Mary supported the Babington plot. His evidence persuaded Elizabeth to put Mary on trial & execute her for treason. ⢠This was a plot to murder Elizabeth and put Mary on the throne ⢠France would invade England with 60,000 men and Spain would also send an army ⢠Babington was passing coded letters between Mary & her supporters in England & Europe. ⢠But all of her letters were being intercepted and read by Walsingham. ⢠Walsingham used his spies to follow every stage of the plot & had the letters decoded ⢠One of Maryâs letters approved plans to murder the Queen and free Mary from prison ⢠They also contained the names of 6 Catholics who planned to kill Elizabeth ⢠They were arrested, hung, drawn and quartered for treason. ⢠Mary had been implicated in plots before, but Elizabeth was always reluctant to execute her ⢠But the proof found by Walsingham finally persuaded her to put Mary on trial ⢠In October 1586, Mary was found guilty & was sentenced to death ⢠But Elizabeth still hesitated, and did not sign the death warrant until February 1587. Significance 1) This plot was very significant because by 1585 England was effectively at war with Spain since Elizabeth had sent her army to help the Dutch Protestants fight the Spanish 2) This meant that Elizabethâ situation was more dangerous than during previous plots. 3) Elizabethâs government also became more determined to crush Catholicism 4) 1000s of recusants were arrested & 31 priests were executed 5) Maryâs execution removed the Catholic threat at home 6) English Catholics had no one to rally around, & lost hope of overthrowing Elizabeth 7) But Maryâs death increased the threat of a foreign invasion as England was at war with Spain and King Philip had been preparing an attack on England since 1585 8) Maryâs death made Philip even more determined to invade, Mary had left her claim to the English throne to King Philip upon her death Why was Mary Queen of Scots finally executed? 1 ⢠A new Act in 1585 stated that in the event of Elizabethâs assassination, Mary could be executed as long as she had been proved guilty & Walsingham had provided hard proof. 2 ⢠Another reason was that by 1587, it was clear that Philip was planning to invade England ⢠There were rumours that Spanish ships had landed in Wales & that Mary had escaped. This convinced Elizabeth that Mary had to be executed if she wanted to keep her throne. Walsinghamâs Spy Network: ⢠Walsingham (Secretary of State from 1573) had a network of spies all over England & abroad. He had spies in every English town, some were normal people paid to spy on neighbours. ⢠He also had agents and spies in Spain, France, Germany and Italy ⢠He hired mathematicians to crack written codes and people to open/seal letters secretly ⢠He also pressured captured Catholic priests to spy on others for him in return for a pardon. ⢠He used double agents to infiltrate Catholic networks - to help him discover traitors ⢠But he only used torture against Catholic priests caught in England in the most serious cases ⢠But 130 priests and 60 of their supporters were still executed during Elizabethâs reign. Why did Relations with Spain get worse (1569-1588) ⢠England had tried to stay on good terms with Spain, because Eliz wanted to avoid an expensive war that could lead to her being overthrown (English Catholics could support it) ⢠But by the 1570s, Elizabeth wanted to have an empire of her own. ⢠She also needed to make more money to defend her country and throne (by improving trade) ⢠This religious, political and economic rivalry led to growing tensions between England & Spain Political and Religious Rivalry 1) Land abroad, gave countries wealth/power. By the 1580s, Eliz wanted an empire to rival Spainâs (especially as Spain had supported the Catholic plots against Eliz â even if it was half-hearted) 2) Religion was another cause of conflict. Philip opposed Elizabethâs religious settlement 1559 3) Luckily for Elizabeth, in the 1550s Spain & France were competing to be the greatest European power and both wanted England as an ally against the other. 4) But from 1567, Spanish ships were sailing to the Netherlands with money for the Albaâs army 5) This alarmed English Protestants and Elizabethâs Privy Council who put more and more pressure on her to send an army to help the Dutch Protestant rebels (in the Netherlands). Economic (commercial) Rivalry: The New World, privateers and Sir Francis Drake ⢠Under Elizabeth, English merchants wanted to make big profits in the New World (Americas). ⢠However, trading in the New World was difficult because of Spainâs power 1) Spain controlled most of the New World where there were huge profits to be made and anyone who wanted to trade there needed a licence from Spain (which it would not give): 2) But the Americas had valuable crops like tobacco, sugar, and also silver and gold 3) Elizabeth secretly encouraged privateers to trade illegally & raid Spanish ports & ships 4) At first Elizabeth denied responsibility for their actions, which delaye war with Spain Sir Francis Drake: Elizabeth sends Drake to rob Spanish colonies and ships (which infuriates Spain) 1) Spainâs support for the Ridolfi plot (1571) made her more willing to support Drake ⢠In 1572 Eliz hired Drake to sail to the New World & steal ÂŁ40,000 of Spanish silver ⢠In 1577 she sent Drake back again with a secret mission to rob Spainâs colonies/ships ⢠Drake brought back ÂŁ400,000 of Spanish treasure & claimed an area of California in Elizabethâs name (New Albion). He gave a lot of this money to Elizabeth ⢠He boosted Englandâs finances at a time of growing concern over Spainâs threat ⢠He became famous as the first Englishman to circumnavigate the globe. ⢠Eliz knighted Drake as a reward, which infuriated Philip (as he saw Drake as a pirate) ⢠Drakeâs actions & his claim to California made it clear that England did not accept Spainâs domination of the New World. Elizabethâs Support for the Dutch Rebels led to War with Spain (1585-88) ⢠By the 1580s, tension between England & Spain had reached boiling point ⢠At first, Eliz refused to send her army to help the Dutch rebels, because she wanted to avoid a war with Spain. So she tried to get the Spanish to leave the Netherlands in other INDIRECT ways: 1) By allowing Drake (& other English privateers) to attack and rob Spanish ships and colonies 2) By encouraging others (the French heir/mercenaries) to fight the Spanish in the Netherlands ⢠In the 1570s, Elizabeth promised to marry the heir to the French throne (the Duke of Alencon) so that he would take an army to fight the Spanish in the Netherlands The Spanish Fury (1576) and the Pacification of Ghent (1576) ⢠By 1576, the Spanish Govt in the Netherlands was bankrupt (the war was expensive) ⢠After months without pay, Spainâs soldiers violently robbed Dutch towns in the âSpanish Furyâ Spanish troops rebelling and robbing cities in the Netherlands in 1576. This united the Dutch Protestants & Catholics against Spain. They drew up the âPacification of Ghentâ (demanding that): ⢠Spanish troops leave the Netherlands ⢠Spain allows the Dutch to rule themselves ⢠The persecution of Dutch Protestants stops What did Elizabeth do? ⢠Elizabeth sent ÂŁ100,000 to help the Dutch rebels ⢠In 1577 King Philipâs brother, Don Juan agreed to the rebels demands (but this was a trick) as just 6 months later Philip sent an even bigger army to attack the Dutch. ⢠Elizabeth then hired a mercenary army of 6000 English & Scottish volunteers to help the Dutch. ⢠But her plan backfired because the mercenaries destroyed Dutch Catholic churches, which caused the Catholics to make peace with Spain. ⢠In 1578, her Privy Council urged Eliz to send her official army to help the Dutch, but she refused. The Dutch were disappointed & turned to France for help. The French Duke of Alencon arrived with an army to fight the Spanish, but by 1579 Spain had taken control again. ⢠In 1580 Spain got even stronger after Philip won control of Portugal & its empire. ⢠So Elizabeth gave the Duke of Alencon ÂŁ70,000 to help him fight the Spanish ⢠In 1582, Alencon took his army the Netherlands but failed to defeat Spain. ⢠Elizabethâs foreign policy in the Netherlands had failed & she had only managed to annoy Spain 1585: Why did Eliz finally decide to send her army to the Netherlands? (she lost her 2 main allies) ⢠1584 the Duke of Alencon died (so he could no longer fight the Spanish in the Netherlands) ⢠1 month later, William of Orange, the leader of the Dutch Protestant rebels was assassinated. ⢠In 1585, Spain signed the Treaty of Joinville with France, agreeing to stamp out Protestantism in France/Europe meaning France & Spain were now allies against Protestantism ⢠Elizabeth now felt she had no choice but to send her official army to the Netherlands ⢠She signed the Treaty of Nonsuch with the Dutch rebels which promised them military help 1585: Robert Dudleyâs campaign in the Netherlands was unsuccessful She sent 7,400 man army to the Netherlands led by Dudley. But he accepted the title of âGovernor Generalâ. Eliz was angry as it suggested that she had deposed King Philip so she told Dudley to resign this position. His army was defeated by the bigger Spanish Army as Eliz had not provided him with enough money to win. In 1587 Dudley resigned and returned to England. At the same time, Eliz had sent Drake to raid Spanish colonies in the New World to disrupt King Philipâs flow of money. Philip was furious and told the Pope he planned to invade England at the end of 1585. Drake singes the King of Spainâs beard 1587 ⢠In 1587 Elizabeth ordered Drake to attack Spainâs most important port Cadiz ⢠He destroyed 30 ships in 3 days â known as the âSingeing of the King of Spainâs Beardâ ⢠He also stole lots of wood, meaning the Armada did not have quality barrels for food/water ⢠Drakeâs disruption delayed the Armada by a year (& meant that its food rotted in 1588). ⢠This bought England more time to prepare for war. The Spanish Armada (1588) The Plan ⢠By 1588, the Spanish Armada was ready to invade England ⢠It had 130 ships with 8000 sailors & 18,000 soldiers ⢠The Duke of Medina Sidonia would lead the Armada, but he had little experience at sea and didnât want the job ⢠The Armada would collect Parmaâs army from France & sail to England under the protection of the Armadaâs warships ⢠Parma would march to London to depose Elizabeth & impose a Catholic government in England. 1) The Armada reached the English Channel The Armada set out in May 1588, but was delayed for a few weeks by bad weather In July the Armada was near England & signal fires were lit to warn Elizabeth English ships set sail to meet the Armada The Armada sailed up the channel in a crescent (half moon) formation, to use the large armed galleons to protect the weaker supply and army ships The English navy carried out a few minor raids, but did not inflict much damage Only 2 Spanish ships were lost (by accident) 2) The English attack the Spanish at Calais (with fire ships) and at Gravelines The Armada sailed up the English channel & anchored at Calais to wait for Parmaâs army But Parmaâs men didn't reach the coast in time (news had reached them too late) At midnight, the English sent 8 fireships into the Spanish ships causing panic They cut their anchors, broke formation & headed for the open sea (without Parma) The Spanish ships sailed to Gravelines, but bad weather stopped them returning to Calais The English attacked and the battle lasted many hours (5 Spanish ships were sunk) The rest were forced to sail away from France towards Scotland The English ships followed them to make sure they didnât come back to collect Parmaâs army 3) The Armadaâs Journey back to Spain around Ireland was a disaster The Spanish called off the attack and returned to Spain around Scotland & Ireland Bad storms sank many ships and wrecked more on the Irish coast Many sailors died from starvation & disease â less than half the men made it back to Spain How did England defeat the Spanish Armada? !) Faster Ships ⢠Years before the battle, England had started building smaller, faster ships (galleons) that could fire canon balls quicker & further than Spanish ships ⢠Spanish ships were huge and slow to change direction. 2) Bad Planning & Communication (Spanish) ⢠Philipâs plan to join with the Duke of Parmaâs army in France was risky. ⢠Parma had lots of small ships which took 48 hours to load, man and set sail. ⢠It took too long (a week) for word to reach Parma that Medina was in the English Channel, by which time Medina had set sail to Calais. ⢠Parma was not ready to set sail & the English were already ready to attack (leaving Medina with very little back up when anchored in France). 2) English Tactics were more effective ⢠Spanish ships aimed to come alongside the English ones, jump on board & fight the enemy. But the English ships were faster & kept a safe distance. ⢠They chased the Armada down the Channel, with heavy cannon fire, which forced the Spanish to arrive in France before Parmaâs army was ready ⢠As the Armada was waiting, the English sent fireships into the Spanish fleet. ⢠This caused the Armada to panic, cut their anchors & sail away to the north ⢠When the Spanish ships regrouped, the English attacked them in the Battle of Gravelines & the Armada was forced to sail north, chased by faster ships. 5) Bad Weather ⢠Strong winds made it impossible for the Armada to return & pick up Parmaâs army and storms wrecked or sunk Spanish ships as they tried to return home along the Scottish-Irish coasts. 2) Spanish Supplies ⢠The Armada was not well supplied with food/weapons. Drakeâs attack on Cadiz port in 1587 had destroyed food barrels. Delays in setting sail meant that by the time the English attacked the Armada it had been at sea for 10 weeks and had rotting food. 1000s died from starvation/disease. The consequences of the English victory? ⢠Victory over the Spanish Armada gave Elizabeth a great propaganda victory ⢠A new portrait was made, and a medal was made to commemorate her victory, it said âGod blew and they were scatteredâ. ⢠Elizabeth claimed that God was on the side of Protestantism ⢠This led to a feeling of English pride and encouraged the Dutch rebels to renew their fight against the Spanish ⢠The defeat of the Armada showed the strength of the English navy and gave England the confidence to trade and explore more widely at sea ⢠Although Philip did not give up and continued the war for the rest of Elizabethâs reign, the defeat had cost Spain dearly, both financially and in terms of its power ⢠The Armada marked the start of a long decline in Spainâs power and fortunes. ⢠English ships were sent on voyages of discovery and set up valuable new trade routes ⢠By the end of Elizabethâs reign, the navy was also trying to set up a new colony in Virginia ⢠The English victory boosted Elizabethâs popularity & strengthened the Protestant cause
air mass a large area of air that has uniform temperature, humidity, and pressure. air pressure the force that a column of air applies on the air or a surface below it albedo the measure of the sun's reflectivity on Earth's different surfaces atmosphere the layers of gases surrounding Earth climate average weather conditions in a specific region over a long period of time coriolis effect the movement of wind or currents in a curved path due to Earth's rotation eddy Smaller, temporary loops of swirling water that can travel long distances before dispersing front a boundary between two air masses greenhouse gas a gas in the atmosphere that absorbs part Earthâs outgoing infrared radiation gyre a large circular system of ocean currents. humidity the amount of water vapor in the air hydrosphere system containing all the solid and liquid water on Earth jet stream Narrow bands of high speed wind high in the troposphere that move from west to east land breeze Winds that blow at night from land toward the sea. This is due to the fact that land has a low specific heat capacity and cools faster than water. This creates high pressure over the land at night and thus wind. local winds Winds that blow over short distances polar easterlies cold winds that blow from the east to the west near the North Pole and South Pole. prevailing wind distinct wind patterns caused by differences in pressure and the Coriolis effect sea breeze Winds that blow during the day from the sea toward land. This is due to water having a high specific heat capacity and it does not heat or cool quickly. High pressure then forms over the water during the day and blows toward the land. specific heat capacity The amount of heat that must be added to a substance to increase the tempurature by one degree Celsius storm surge water that has blown outward from the center of a tropical cyclone or hurricane and creates an abnormal rise in ocean waters on the coast surface current Currents near the surface of the ocean. Driven by wind, the Coriolis effect, and continental deflection trade winds Steady winds that flow from east to west between 30°N latitude and 30°S latitude along the equator tropical cyclone a rotating, organized system of clouds and thunderstorms that originates over tropical or subtropical waters typhoon a tropical cyclone occurring in the Pacific Ocean; especially in the region of the Philippines or the China Sea. weather the short-term atmospheric conditions in a given place and time westerlies steady winds that flow from west to east in the middle latitudes (30- 60 Degrees). These impact our weather in the US. wind shear A large shift in wind speed and
What is a Hurricane, Typhoon, or Tropical Cyclone? The terms "hurricane" and "typhoon" are regionally specific names for a strong "tropical cyclone". A tropical cyclone is the generic term for a non-frontal synoptic scale low-pressure system over tropical or sub-tropical waters with organized convection (i.e. thunderstorm activity) and definite cyclonic surface wind circulation (Holland 1993). Tropical cyclones with maximum sustained surface winds of less than 17 m/s (34 kt, 39 mph) are usually called "tropical depressions" (This is not to be confused with the condition mid-latitude people get during a long, cold and grey winter wishing they could be closer to the equator). Once the tropical cyclone reaches winds of at least 17 m/s (34 kt, 39 mph) they are typically called a "tropical storm" or in Australia a Category 1 cyclone and are assigned a name. If winds reach 33 m/s (64 kt, 74 mph), then they are called: "hurricane" (the North Atlantic Ocean, the Northeast Pacific Ocean east of the dateline, or the South Pacific Ocean east of 160E) "typhoon" (the Northwest Pacific Ocean west of the dateline) "severe tropical cyclone" or "Category 3 cyclone" and above (the Southwest Pacific Ocean west of 160°E or Southeast Indian Ocean east of 90°E) "very severe cyclonic storm" (the North Indian Ocean) "tropical cyclone" (the Southwest Indian Ocean) Coriolis Effect The Coriolis Effectâthe deflection of an object moving on or near the surface caused by the planetâs spinâis important to fields, such as meteorology and oceanography. Storm Approaching Southeast Asia Because of the Coriolis Effect, hurricanes spin counterclockwise in the Northern Hemisphere, while these types of storms spin clockwise in the Southern Hemisphere. This Northern Hemisphere storm, approaching Southeast Asia, is spinning counterclockwise. Earth is a spinning planet, and its rotation affects climate, weather, and the ocean through the Coriolis Effect. Named after the French mathematician Gaspard Gustave de Coriolis (born in 1792), the Coriolis Effect refers to the curved path that objects moving on Earthâs surface appear to follow because of the spinning of the planet. As Earth turns, points near the equatorâcountries like Ecuador and Kenyaâare moving much faster than places near the planetâs poles. This is because Earth is shaped like a marble: Its circumference is larger near its middle (the equator) than near its top and bottom. All places on Earth experience a day that is about 24 hours long, but points near the equator have to travel longer distances in the same period of time, which means that those places move faster. Scientists say these points have more âangular momentum.â This is why rockets are usually launched from places near the equator, like Cape Canaveral, Florida, United States. Such locations give rockets a large initial speed, which helps them get into orbit using the least possible amount of fuel. The Coriolis Effect influences wind patterns, which in turn dictate how ocean currents move. Imagine wind near the equator flowing to the north. That wind starts with a certain speed due to Earthâs rotation (near the equator, Earth rotates at a speed of roughly 1,600 kilometers per hour (1,000 miles per hour) from west to east). As the wind travels north toward the North Pole, it moves over parts of Earth that are rotating progressively more slowly. Since the wind retains its angular momentum, it keeps moving from west to east, overtaking the part of Earth turning more slowly below it. As a result, the wind appears to bend to the east (that is, to the right). This is the Coriolis Effect in action. Wind flowing south from the equator would likewise bend to the east. This effect is responsible for many meteorological and oceanographic phenomena. For instance, due to the Coriolis Effect, hurricanes in the Northern Hemisphere spin in a counterclockwise direction, while hurricanes in the Southern Hemisphere (known as cyclones) spin in a clockwise direction. Ocean-circling currents known as âgyresâ also spin in spiral patterns thanks to the Coriolis Effect. There is an urban legend that water in toilets spins in opposite directions in the Northern and Southern Hemispheres because of the Coriolis Effect. But that isn't trueâa toilet bowl is too small for the effect to be observed. Instead, other factors like the shape of the toilet bowl and the direction that the water enters are largely responsible for how the flushing water moves.
Understanding Quantum Theory of Electrons in Atoms The goal of this section is to understand the electron orbitals (location of electrons in atoms), their different energies, and other properties. The use of quantum theory provides the best understanding to these topics. This knowledge is a precursor to chemical bonding. As was described previously, electrons in atoms can exist only on discrete energy levels but not between them. It is said that the energy of an electron in an atom is quantized, that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels. The energy levels are labeled with an n value, where n = 1, 2, 3, âŚ. Generally speaking, the energy of an electron in an atom is greater for greater values of n. This number, n, is referred to as the principal quantum number. The principal quantum number defines the location of the energy level. It is essentially the same concept as the n in the Bohr atom description. Another name for the principal quantum number is the shell number. The shells of an atom can be thought of concentric circles radiating out from the nucleus. The electrons that belong to a specific shell are most likely to be found within the corresponding circular area. The further we proceed from the nucleus, the higher the shell number, and so the higher the energy level (Figure 9.4.1). The positively charged protons in the nucleus stabilize the electronic orbitals by electrostatic attraction between the positive charges of the protons and the negative charges of the electrons. So the further away the electron is from the nucleus, the greater the energy it has. This quantum mechanical model for where electrons reside in an atom can be used to look at electronic transitions, the events when an electron moves from one energy level to another. If the transition is to a higher energy level, energy is absorbed, and the energy change has a positive value. To obtain the amount of energy necessary for the transition to a higher energy level, a photon is absorbed by the atom. A transition to a lower energy level involves a release of energy, and the energy change is negative. This process is accompanied by emission of a photon by the atom. The following equation summarizes these relationships and is based on the hydrogen atom: The values nf and ni are the final and initial energy states of the electron. The principal quantum number is one of three quantum numbers used to characterize an orbital. An atomic orbital, which is distinct from an orbit, is a general region in an atom within which an electron is most probable to reside. The quantum mechanical model specifies the probability of finding an electron in the three-dimensional space around the nucleus and is based on solutions of the SchrĂśdinger equation. In addition, the principal quantum number defines the energy of an electron in a hydrogen or hydrogen-like atom or an ion (an atom or an ion with only one electron) and the general region in which discrete energy levels of electrons in a multi-electron atoms and ions are located. Another quantum number is l, the angular momentum quantum number. It is an integer that defines the shape of the orbital, and takes on the values, l = 0, 1, 2, âŚ, n â 1. This means that an orbital with n = 1 can have only one value of l, l = 0, whereas n = 2 permits l = 0 and l = 1, and so on. The principal quantum number defines the general size and energy of the orbital. The l value specifies the shape of the orbital. Orbitals with the same value of l form a subshell. In addition, the greater the angular momentum quantum number, the greater is the angular momentum of an electron at this orbital. Orbitals with l = 0 are called s orbitals (or the s subshells). The value l = 1 corresponds to the p orbitals. For a given n, p orbitals constitute a p subshell (e.g., 3p if n = 3). The orbitals with l = 2 are called the d orbitals, followed by the f-, g-, and h-orbitals for l = 3, 4, 5, and there are higher values we will not consider. There are certain distances from the nucleus at which the probability density of finding an electron located at a particular orbital is zero. In other words, the value of the wavefunction Ď is zero at this distance for this orbital. Such a value of radius r is called a radial node. The number of radial nodes in an orbital is n â l â 1. Consider the examples in Figure 9.4.2. The orbitals depicted are of the s type, thus l = 0 for all of them. It can be seen from the graphs of the probability densities that there are 1 â 0 â 1 = 0 places where the density is zero (nodes) for 1s (n = 1), 2 â 0 â 1 = 1 node for 2s, and 3 â 0 â 1 = 2 nodes for the 3s orbitals. The s subshell electron density distribution is spherical and the p subshell has a dumbbell shape. The d and f orbitals are more complex. These shapes represent the three-dimensional regions within which the electron is likely to be found. Principal quantum number (n) & Orbital angular momentum (l): The Orbital Subshell: https://youtu.be/ms7WR149fAY If an electron has an angular momentum (l â 0), then this vector can point in different directions. In addition, the z component of the angular momentum can have more than one value. This means that if a magnetic field is applied in the z direction, orbitals with different values of the z component of the angular momentum will have different energies resulting from interacting with the field. The magnetic quantum number, called ml, specifies the z component of the angular momentum for a particular orbital. For example, for an s orbital, l = 0, and the only value of ml is zero. For p orbitals, l = 1, and ml can be equal to â1, 0, or +1. Generally speaking, ml can be equal to âl, â(l â 1), âŚ, â1, 0, +1, âŚ, (l â 1), l. The total number of possible orbitals with the same value of l (a subshell) is 2l + 1. Thus, there is one s-orbital for ml = 0, there are three p-orbitals for ml = 1, five d-orbitals for ml = 2, seven f-orbitals for ml = 3, and so forth. The principal quantum number defines the general value of the electronic energy. The angular momentum quantum number determines the shape of the orbital. And the magnetic quantum number specifies orientation of the orbital in space, as can be seen in Figure 9.4.3. Figure 9.4.4 illustrates the energy levels for various orbitals. The number before the orbital name (such as 2s, 3p, and so forth) stands for the principal quantum number, n. The letter in the orbital name defines the subshell with a specific angular momentum quantum number l = 0 for s orbitals, 1 for p orbitals, 2 for d orbitals. Finally, there are more than one possible orbitals for l ⼠1, each corresponding to a specific value of ml. In the case of a hydrogen atom or a one-electron ion (such as He+, Li2+, and so on), energies of all the orbitals with the same n are the same. This is called a degeneracy, and the energy levels for the same principal quantum number, n, are called degenerate energy levels. However, in atoms with more than one electron, this degeneracy is eliminated by the electronâelectron interactions, and orbitals that belong to different subshells have different energies. Orbitals within the same subshell (for example ns, np, nd, nf, such as 2p, 3s) are still degenerate and have the same energy. While the three quantum numbers discussed in the previous paragraphs work well for describing electron orbitals, some experiments showed that they were not sufficient to explain all observed results. It was demonstrated in the 1920s that when hydrogen-line spectra are examined at extremely high resolution, some lines are actually not single peaks but, rather, pairs of closely spaced lines. This is the so-called fine structure of the spectrum, and it implies that there are additional small differences in energies of electrons even when they are located in the same orbital. These observations led Samuel Goudsmit and George Uhlenbeck to propose that electrons have a fourth quantum number. They called this the spin quantum number, or ms. The other three quantum numbers, n, l, and ml, are properties of specific atomic orbitals that also define in what part of the space an electron is most likely to be located. Orbitals are a result of solving the SchrĂśdinger equation for electrons in atoms. The electron spin is a different kind of property. It is a completely quantum phenomenon with no analogues in the classical realm. In addition, it cannot be derived from solving the SchrĂśdinger equation and is not related to the normal spatial coordinates (such as the Cartesian x, y, and z). Electron spin describes an intrinsic electron ârotationâ or âspinning.â Each electron acts as a tiny magnet or a tiny rotating object with an angular momentum, even though this rotation cannot be observed in terms of the spatial coordinates. The magnitude of the overall electron spin can only have one value, and an electron can only âspinâ in one of two quantized states. One is termed the Îą state, with the z component of the spin being in the positive direction of the z axis. This corresponds to the spin quantum number ms=12. The other is called the β state, with the z component of the spin being negative and ms=â12. Any electron, regardless of the atomic orbital it is located in, can only have one of those two values of the spin quantum number. The energies of electrons having ms=â12 and ms=12 are different if an external magnetic field is applied. Figure 9.4.5 illustrates this phenomenon. An electron acts like a tiny magnet. Its moment is directed up (in the positive direction of the z axis) for the 12 spin quantum number and down (in the negative z direction) for the spin quantum number of â12. A magnet has a lower energy if its magnetic moment is aligned with the external magnetic field (the left electron) and a higher energy for the magnetic moment being opposite to the applied field. This is why an electron with ms=12 has a slightly lower energy in an external field in the positive z direction, and an electron with ms=â12 has a slightly higher energy in the same field. This is true even for an electron occupying the same orbital in an atom. A spectral line corresponding to a transition for electrons from the same orbital but with different spin quantum numbers has two possible values of energy; thus, the line in the spectrum will show a fine structure splitting. The Pauli Exclusion Principle An electron in an atom is completely described by four quantum numbers: n, l, ml, and ms. The first three quantum numbers define the orbital and the fourth quantum number describes the intrinsic electron property called spin. An Austrian physicist Wolfgang Pauli formulated a general principle that gives the last piece of information that we need to understand the general behavior of electrons in atoms. The Pauli exclusion principle can be formulated as follows: No two electrons in the same atom can have exactly the same set of all the four quantum numbers. What this means is that electrons can share the same orbital (the same set of the quantum numbers n, l, and ml), but only if their spin quantum numbers ms have different values. Since the spin quantum number can only have two values (Âą12), no more than two electrons can occupy the same orbital (and if two electrons are located in the same orbital, they must have opposite spins). Therefore, any atomic orbital can be populated by only zero, one, or two electrons. The properties and meaning of the quantum numbers of electrons in atoms are briefly
6.2 The student will investigate and understand that the solar system is organized and the various bodies in the solar system interact. Key ideas include matter is distributed throughout the solar system; planets have different sizes and orbit at different distances from the sun; gravity contributes to orbital motion; and the understanding of the solar system has developed over time. 6.3 The student will investigate and understand that there is a relationship between the sun, Earth, and the moon. Key ideas include Earth has unique properties; the rotation of Earth in relationship to the sun causes day and night; the movement of Earth and the moon in relationship to the sun causes phases of the moon; Earthâs tilt as it revolves around the sun causes the seasons; and the relationship between Earth and the moon is the primary cause of tides.
meteor meteorite meteoroid Milky Way moon Neptune orbit physical characteristics Pluto revolve / revolution rotate / rotation Saturn solar system Sun Uranus Venus Essential Understandings (Content Elaboration): â Planets in the solar system orbit the sun. Some of the planets have one or more orbiting moons. Earth is a planet that has a moon. The moon orbits Earth. Gravitational forces between the sun and its planets cause the planets to orbit the sun. Gravitational forces between a planet and its moon(s) cause the moon(s) to orbit the planet. If no forces were present, planets and moons would continue their motion toward outer space without changes in speed or direction. However, gravitational forces between the sun and each planet continuously change the planetâs direction so it remains in orbit. In the same way, gravitational forces between each moon and its planet continuously change the moonâs direction so it remains in orbit.