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Lecture 02. The Boltzmann Distribution Law.

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ultimately rely it the founded the class will be that right from the start of the year award by the turn of the year and children were seized in the fall within the week don't need to form a they want means that area of the world and the problems of the year was please make sure that you don't see the fact that somebody else and community groups that of became the Internet problems for 1 year OK it's in the financial problems the country covered in wanted to work 1 end of the 1 this is the way on the all questions and that the but discussion on 2 I also called frequencies from last year and both the announcement made good on the way on the line 1 of those that have really calculate factorial accusing you of material were used at the time but I don't want think about that agreement Monday the
whole of the mainland Europe will not be at the heart of the writing on the wall .period littered on yes I'm sorry I don't know any of the you can hear the only that but the result involved
although not to the United States of America and to have the luxury of time of the year and all consequently you look the about my wife 5 communications requirements will have no dealings find directly the don't member at the back right during much of the problem please NOTE the people the report table 1 of them the the Conference Board conversion factor or equations that involves the study we face anything you want yes you stand there arrange the parliament withdrew from the name of the line already hit movies were not going to
be there at the end right now with yeah know it's a thing if you will want to stay on "quotation mark well international involvement in the murder of Madison products that people want to be 1 of the major 1 of the major concern OK OK we're talking about the Bolton distribution lots of it will be about 5 days configurations that W really derivable distribution lines like broken I take your call leaders of both the European Union the leader use of the introduce you to partition functions were going to do with you example the truth of the molecule right evenly spaced vibrational states the award where is the use of hormone that where there is little more than what they 2 years redrawing the monstrous thing on the draft something smaller looks like this this is reason were the label of a B and C guess the 3 molecules into this little notice of shown you hear that music 1 of the vibrational states being here on the ground vibrational love 1 2 3 you remember also want him I'm calling his three-dimensional race or religion Alaska he has a lot in common with the 3 molecules are indistinguishable from there were some worried here not to use it would be it because the last at the next meeting of easier not more another small ACT label in contracts that were on the run the last spring finally we know it molecules are qualities you were not to them sir founded the three-dimensional really involved in the the jargon of of the new plan the principle of the South Korean molecules to use it now that the quantitative disease-free Molly for the 1st 3 ways to do that but all the energy molecule but all energy multiple CEO we can put it all ideology a molecule the that's 1 thing you can do it all managed 1 remark we also With 2 1 1 molecules and 1 of the other leading the 3rd member of the All India 6 ways the finally we just for once upon a time in each of the 3 molecules only 1 way that now I'm going to find that legally molecule that anymore you're labeled the violence in region that has but I you can almost half of the molecules years you that's about as good whether they be In the Heat of the year OK I work call each 1 of these guys on my and we got this short form notation that we used to to identify them and minorities for but families of the state's configuration right curling around for a while and I didn't configurations that might of the the 1st did in fact contracts and the number of molecules in the lower warehouse in the next and the number of molecules in the 1st and only for these so you can see these guys are also invigoration of England who they I II and blindness science 3rd being free that all through the years she would want all through the years who was fully all during the 2 0 0 2 1
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anything you like on the theory that calls on OK I now sure fearing that Ron Carey's originally the formula lost population colony my states there are teaching theories but you draw I want from the symbol of a look at it and said that remote Over a span of 1 but it will not affect the small the you saw our thinking about of race but I'm OK so
as I feel that I think about configuration to your home review when making this 1 of the more than 1 for a 3rd pillar that configuration I have I can put that 1st the most to any 1 of the 3 while the b and c longer on him we're going into any 1 of the 3 molecules like putting a gun to be working on In terms of settled once and for that we need have got to possibilities of writing with 2nd 1 and with someone and that was that a that and is the 1st and only going to be the last part of Europe really 1 OK so I wonder how many versions of this fire there it's really kind of times 1 that 3 factorial that means there should be 6 ways to do this and are 1 of them configuration 1 vigorous 1 was required In all right starting 1st with the first one a B or C by this time guide the next 1 is going to be here in this case because a federal but requirements be In this case is going requirements see OK and
final information controlled play the
last of the year can only going the here and we're going see here can only going to be now no the principle the communist case works that they work and the case here that this kind of thing but here it we couldn't see the following a possibility and read my states that the configuration was changed what's the difference between configuration to configuration British world configuration 1 Will the difference is that this state is the young people 0 this guy to molecule and In other witness to overly distinguishable waste and create that might say I can put aside years of your life here this year it's not something the place they want to do that when I have my own State you know the principles 6 way just like it was the 1st victory in 3
years time while relying on the use of configuration file to the generously backed in his case there are 2 while those
that CNG and so it will turn out to be the case that we need to read despite the mind by to that substance 3 factorial instead were 3 factorial defined by the
factorial that sick about it to that that's the readers issue request the now we have to realize that were late in rarely peace communities in the office of the look at all over the words you always must be
divided by the number of states that have stayed at in the Baltic Sea the statement you got to factorial funds world and support for example "quotation mark once In this case the
region right in the configuration of radio Celeste 3 factorial and 3 veterans of the of 1 this is the only 1 with of they do more
examples like this and beaches yourself through there but I think this so In other words we do about the
general formula can use this it that's the number of whole number like that have here the number of molecules that the number of molecules that have no later than the 160 to 180 and so on
but so the debate on the 4th floor the
molecules that 1 2 3 more why they can still it was a British colony for years 1 1 2 we all are
where with the what is up with the sort notation that configuration will expire by the 0 2 1 1 1 got 3 all already probably 1 reason what
was done the problem too the
factorial 1 2 3 4 5 5 is not only have to and while was
0 at the cocaine now you can your calculator will
not do this you along right on time institute I'm sorry for that part of the people said you
really we're going to have to work you will need to felt that by the way that
those 168 waits to generate the configuration pretty now but with only 1 of something here
there where you know part of the EU I have never seen before also I'm really later this himself Europe 1st and molecules that
1 2 3 4 5 6 7 8 9 10 were all life on the part of but all I that I break ,comma emergency sirens and molecules now I'm policy in the coming years covered by the factorial there's can waste generators configuration in the media right and in the Senate what about the fight for me now to 1 another or it was going to be prepared still 10 I'm just telling factorial terror 10 tons 9 times the
factorial is in worldwide the speaker -dash
that describes the energy signed at the factorial there 1 factorial 1 factorial went 0 sold that's or following know that 8 factorial dances with 8 factorial and I'm left with 9 times in his nineties there's no way to generate that much
clearer former my statement .period we now would work of all
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it is today it's superficial because the fire right now just
flying W versus the configuration of which never arbitrary don't worry about it .period there of the rest pointing out that the duration are some now how special well we've only came only 2 years for a while in the area and is 1 of the the moment him here here's what we're dealing with industry is not involved this very often the it will also you can't find what they're going to
24 until 2010 usable for dealing with each fractions of global warming right it's that none them was the 1 thing you want to use this as a lot more so let me
say that Milosevic was needed this is a death in the face of bullies in the state along we decided were not side there 2 now W here's a number of points the Britain is that going think about mom that is changed and that you can write this mold at number of its number of tales that number like this for example if I look for comments I think it had had killed him I did it heads tilted steals the details that led him to for it if I wanted them I'm here to have each program configuration ,comma might provide the virus will sit idle and all that for editorial work led to beach 6 possible ways to do it here all the different ways you can do that all that's all Altera what's the probability that 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 part of the year the union
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normal life but they number
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dealing with candidates within the traditional 1 this just in India still he acknowledged that his
company had refer configuration what was that here the different configuration configurations president where did that just give configuration that is the normal order number of life for 1 thing and then there is what configuration of small lots of theories that don't that is the
that is a very surprised president of the United States work it's not you can work on it on the pointedly noted content when there is not enough "quotation mark certainly story but it's less of In possibility that the
original 1 possibility that the executive arm of the company that the point that are in more the small faced with a lot work so we can make .period here that we really understand this vigorous you want that 1 of the problems in configuration that the major thrust of of also on what property Willingham understand that we don't think this will be 1 of the sources of the In configurations that makes this year you only have to understand why they were small ensemble Of all the problems that citizens are doing so
rare and contribute to the EU the survey the minister of state as a matter of fact and the 20 3rd and another found good but what is the instead on corners the stadium knows him the number of
players knowledge is the correct can you
knowledge this following for
invigoration knowledge of the system as a whole only have to know about that guy we only have to know about him all the rest of the guy got enough but this get sharper but there is no your blood derivable distribution but I think that don't you where the maximum I don't think you can see that the knowledge by golly that's that's the 1 that refers the original appears to be finding maximally 1 of the 1st available only at all what this is not a problem the man who is the director during the era of program respectively configuration although known of the man shot his wife and their own survival craft painted the
words alone this is not there will be someone that's what I'm about to do today's final configuration which
don't have not changed when the configuration of the system is infinitesimally small enough to require share the invigoration left or right of the people .period slang or they don't don't have to change because during the 0 0 why I told you that this is the final phase of the configuration of the whole point of old distribution instead of restoration right considered isolated in other words number molecules Wisconsin so you know what use the toll number vantage point so that when the isolated and the right at the moment answers that's a lots of it In March inoculated your 7 1 1 of the large number you know which configurations for part of swear words that he had heard the where it that's considered just 3 favorite now job was in the room with labels love ballad in if we want all the United States there are we use our standard formula the total number of molecules and allies and the the song always all the humor the OK now we're going to you this is this is the configuration was started with less shifted lot pregnancy from the the
configuration changed all that this year the various partnership said internationally and the energy task quality that power and possibly the world yourself through
energy on the last few years the state in an ally right began the difference between a and now in the hands of the new complete and help through the difference between the and just that their right grappling with the situation is 1 of the bullets when they OK so now the ship for a or so state and son of the end of there will no shit but removed you guys from him into in the guys from him into town were it to be used for the following years of case opposition to the use of the name same problem during the last years and years and years and years DEC has gone removing some along the release of the Sea is reasonable and maintain saying all right no not only was faced with an aggression OK so what incidentally what few times that difference in my cell among them 2 times that can have the funds that have been the 0 Saugerties the use of satisfies the following year now sold over 4 years ,comma number 1 of the only representative of the the of here she pregnant women through acquisition I've had some number of molecules in the air and remove molecules from and he that both the L and huge program and I modified amount feudalism the ship here described these reports or it was saying that we want he said cases where little equilibrium the month on the last where where Apple is
infinitesimal share donated change at all price of the rate of HEW configuration 0 attendees at the
sight of 1 another part of the right be here Brown said don't that before after it can only if we are there everywhere and we should be directed not the government changes right only the case the original but so that has been people it is you work of man the cancel the rearranging the term dollar with 1 OK take my word for it what cancelations over years and years ago this equality holds but a more youthful version of this is just take the natural logarithm of signed here we get there where key time-slot indelible work in the future law in order it this was released OK and substituting from each refused fight will have art I played within 3 years I like to think in for key and I did these dangerous here after actually possible but in you got a quick review would with useless but which you have realize that in Canada and has this is an artist's
rendition was killed in the and that was it OK so it turned out to be the
case that these things can only be called 1 another you know about her about and there are currently in the states where the case the 4 x y and z and not the result of that implies that this has to be a work on this half and that was enough to realize that we we have to go to the root of the case this can only lead to left right side of this quality are confident they did not depend on exactly which states are involved with the child tho so but holding on the yet another word undertaking 1 of these guys just equal to that of constant constant baby but occasionally rearrange like likely multiplied by the end of the year the moves over to the right hand side so that lot and then over and I told him in Anaheim and the gentleman from that would be the but such a constraint that that's the the energy difference between the 2 states right the moment but OK now choose 1 of the guys around but they 1 those still in the fight let us assume that the city's 0 and we're going to go him so instead of having used the minus the Savannah or words that might have faded in the event that the supply survival of the golden era it's there so we get this
the 1st year of the face each also the International at the beginning of the year this year is the latest poll and distribution when is the ratio of the populations of these 2 states state and which is eligible the use of the grants bring me is you hire this prostate 1st problem population that I love the original you're worried that turns out to be equal to 1 the cables from the next 1 the many of this 1 of the bowls 1 of the these letter
that was my hero so for any isolated microscopic said assembly of species with any kind of spacing between the state and the face With regard to configuration has been fully defined with the functional relation between the energy of the population each 1 well you know this way also through Napa and duration where were the only 1 who can work 1 the on findings of the review .period a memory loss as is dominated by invigoration of very small where was saying this equation here characterized that offered configuration that further progress in the region is very important on of the Standard but I only have 1 that were really not in all the truth the result OK now we also need different Bolton distribution yeah you can look at the slightest later this little variation of that year told them molecules the level of the grass they the so Secretary it's that the right of nation formula that really these are summation over all of they are alive and so we can write a uniform distribution was each 1 of these terms with that and I brought it to that's in that instead that needs to be up here and there and to the 2 and 0 but I just that through this whole solving Britain's zeroing in this equation right here and can then what this is 0 this interim right you don't look you that that that would fall years like this guy is going right here this is your question once the you have to use the issue of human being not only on its workers president derived from the simplest version both but what matters is how we use the sequence this is the end of of the year it was not that of the
Super report writer something called partition function we found that this is not this sees this as the central idea that returning to the home what is that it doesn't look like in anything the city Sunday Of this exponential were reported but different in the use of the month come possible but OK so this is
the molecular partition function for the particularly the part about returning to the state you a lawyer partition functions when we usually call human who and the terms of the birth of the faith the January the yeah this the number all the same energy In the it's prostate the world no considered different way if there are 4 or around the unity of all have the same unity of Europe you get the more willing than for this jury acquitted 13 . 9 part to pursue this an early in the day wasn't look at the what level
of quality population in the state of the art to love them when the temperature there that judges the the very hot but rather obligations to states this is this we all news part of the population and the fire Tuesday's so close called Wednesday June once they once that's right when he played the 1st
state to 1 place for everything want part was the difference between the as stated the 1 hears a lot of what the nominators saying affiliation that OK so I can turn the I think but they think will as saying we don't want to here all but this is not a participant function that the please these are arguing that there is exponential scientists hold out everything else handles local exponential work energy to corresponding into ineffectiveness of G 1 4 . state 1 vote a simple life all right in years with the resulting the looks like a parametric Baze 1 over Katie works his Bolton's on Telefonica calculators I just like while the continuing to use in that's the most people represent OK so the denominator becomes very large and had even as 0 only 0 always line some of these 2 will be equal if the following when
you're the statement please I think that's already ,comma in programs using the same thing progression what my wife and my belief is that this is the that's wrong prior to the energy from all this reservations about that the time of the year never existed there are there really the reportedly
understand Turns out the loss of physical chemistry the Liberal the students in certain a threefold the generic Brownlow not the general electronically excited little 35 under way numbers in generous level of 47 ended with startling participants these electronics at the 1900 results problems really here's the situation what is more the words being a threefold generate ground but energy 0 an electronically excited until 35 and later 35 a free-fall generated while at Warrington for a couple of partition function of these laconically agrees fellas the petition filed with the partition function if this guy this is the denominator that virtually overlooking an earlier on using a version of this important parts of the universe began the because even all of the general spirit partition function you're never going to get the universe without the need is 135 and again stays the 2 of us look at so what is the summation the needs of our happened and we got brief God returned to the community rather it was the 2nd that but Figueroa terms the did the ground state history buff OK let's already its alliance faded finds there the energy of the atrocities Europe plus not only against the United States had 30 500 members plus strictly utilize 47 underwent a terms because of freezing through it also that is really 1 OK now what I think of it have been possible
movement during the year last jewels the guy who is quality but a I'm never to cast the conversion from a university years the 55 . 5 we haven't really and conversion from told me on the impact of the jewel of the reversal of the burden that that's the end of the year some mutual you for example the revival of what is needed you'll widely here because Bolton's content is almost always 1 . 3 1 and that of my 23 Jewell worked out all kinds of things jewels to other entities of the jewels it's very because they have nobleman's Constant Gardener all you want .period 1 1 1 3 for Bolton's constant and change the University of but the question what was set up in the you :colon European 1 of the major handful
units get the right ones as for the movies community this is the way I would define these 5 . 5 with him from all over the state and the energy in the central point of the small got into the jewels Nightline Katie and are 2 . 6 4 9 2 . 6 4 9 that number right here in the of that right there or at the least the returns that the authorities and that new Europe I'm worried about 301 that was the only 1 of the analysts acknowledged that what is going on in the firefight as I read . 1 finds the then there was market he is known only some of those state's public similarities that that was the case because the the United Way of America and the converted to blame the . are and so on what this calculation policy that there should be a little more rich firmly that they that is what we reached a only
accessible around stated revenue from the probability that the death the number indicates 3 . 1 4 million by the year after the government formally ceded significant the problem is that the problem of the law but so will really view this come from
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Metadaten

Formale Metadaten

Titel Lecture 02. The Boltzmann Distribution Law.
Serientitel Chemistry 131C: Thermodynamics and Chemical Dynamics
Teil 02
Anzahl der Teile 27
Autor Penner, Reginald
Lizenz CC-Namensnennung - Weitergabe unter gleichen Bedingungen 3.0 Unported:
Sie dürfen das Werk bzw. den Inhalt zu jedem legalen und nicht-kommerziellen Zweck nutzen, verändern und in unveränderter oder veränderter Form vervielfältigen, verbreiten und öffentlich zugänglich machen, sofern Sie den Namen des Autors/Rechteinhabers in der von ihm festgelegten Weise nennen und das Werk bzw. diesen Inhalt auch in veränderter Form nur unter den Bedingungen dieser Lizenz weitergeben.
DOI 10.5446/18936
Herausgeber University of California Irvine (UCI)
Erscheinungsjahr 2012
Sprache Englisch

Inhaltliche Metadaten

Fachgebiet Chemie
Abstract UCI Chem 131C Thermodynamics and Chemical Dynamics (Spring 2012) Lec 02. Thermodynamics and Chemical Dynamics -- The Boltzmann Distribution Law -- Instructor: Reginald Penner, Ph.D. Description: In Chemistry 131C, students will study how to calculate macroscopic chemical properties of systems. This course will build on the microscopic understanding (Chemical Physics) to reinforce and expand your understanding of the basic thermo-chemistry concepts from General Chemistry (Physical Chemistry.) We then go on to study how chemical reaction rates are measured and calculated from molecular properties. Topics covered include: Energy, entropy, and the thermodynamic potentials; Chemical equilibrium; and Chemical kinetics. Index of Topics: 0:04:17 The Boltzmann Distribution Law 0:07:44 Notation for Specifying a Particular Configuration 0:14:41 The Number of Microstates 0:20:27 Configuration VI 0:29:48 Which Configuration is Preferred? 0:33:28 Number of Microstates Before and After 0:37:25 The Boltzmann Distribution Law 0:43:07 Molecular Partition Function 0:52:33 How Much Thermal Energy is in the System?

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