I've been a G never gonna ask for some sympathy, but if I spill the rhythm and kill the beat then are you gonna beat into me?  Just show me the door and I'm breaking it through like honey. I'm home with a lot What's good?  You know the score.  We got mark one make some noise Make sure you hashtag us on hashtag checkpoint at vote from all that shit all your opinions on the battle on the left hand side It's gonna be one round of mark. Let's do this.   They keep saying suicide is painless Dig it. Why won't you just try already? Dig it. They promised me chips So I knew the fish I was gonna fry already two automatic straps our air mags boy out and play Marty McFly already But let's get back to your future. I Can see your family starting to cry already. They know what's up. That's why they bought you that box them slacks That shirt that tie already. They over your body boo-hooing like We don't think it was his time already Well, that's what he did for thinking this punching shark and then you find out minds all Freddy's Dig it. What up to Krueger? But this is the nightmare.   I'm bad.  It's probably big Then a motherfucker.  It make you do whatever.  You mad.  You don't get girls I mean you end up with a slap fam or a backhand.   You was on eight mile chilling with Eminem earning trees earning fees, but he was in another film night professors little brother at the dinner table Because I'm on form tonight.     It was like I was watching a real clown show. What do it today? It's gonna be like I'm selling rims Nick. I'm dying to let these steel rounds go I peeped I peeped everybody want to be niggas until they got to be niggas Until the cops come then it's them wait a second ago.    I know you hate the truth.   I thought we was gonna have a classic I changed my mind a minute later when you start dying in your room Dear lord, I hope this club has a defibrillator It's funny.    Look, I fathered your style.  It's A bad look What happened? That boy from teski. Oh you got those from tesco. You got those from tesco. Let's go.  It's crazy How like met the man?   I might be old but I ain't old timey this nigga want to wrestle for respect I'm here to clap in a place.  Let's see you wrestle with these straps on your face I ain't here to give due love See i'm sobbing in the cactus jack you You just jumped in the ring with the craziest niggin battle rap.  I'm a deep straight nigga and I just bought them 380s through and the last thing he Don't see is that D over that navy blue like nigga. Where's my tea and crumpets? You all right tit I'll slap this is working Boing me off black. Oh, yeah. Yeah. No, don't let me see you. Let me start that again, bro. Let me see you watch your views Let me start fresh. I forget about that You gonna do the walking here too? I'm gangster. You're right here. I'll slap your spazzy nan because I've got a gun called salian.  All you're gonna hear is Hey Because my gun's broken in Did you would tell them everything they asked you be like, yeah, I'm so stressed I live in Detroit before you get to my door. There's three steps.  That's why my face vexing when I bust another wrapping latex and practice safe sex Whereas I'll be G'd up not saying a word. They ask my name.   Mine's big jay. So to keep fat.  I'm cooking him quick.


From Hollywood, it's time now for Johnny dollar Is your name Teddy Davis My name is Johnny dollar I'm in her apartment Now listen to me. I'm an insurance investigator and there've been a couple of murders here She's gonna need you and all the help she can get to bring her out of it mostly you I've called homicide and they're on their way, and it might be pretty rough for her I'll be right over tonight and every weekday night Bob Bailey in the transcribed adventures of the man with the action-packed Expense account America's fabulous freelance insurance investigator. Yeah, it's truly Johnny dollar Expense account submitted by special investigator Johnny dollar to the Universal Adjustment Bureau Hartford, Connecticut The following is an accounting of expenditure is during my investigation of the tears of night matter It was a long morning and a lieutenant of police thought I was crazy when he met me in the apartment with two dead men and the hysterical woman My face was bruised and black and blue from the beating the dead men had handed me the night before The lieutenant his name is Brady had a time getting hold of Hilary Fuchs to back up my story But Teddy Davis was a different matter. He showed up with a doctor and lawyer and through their combined efforts police Wendover was removed not to police headquarters, but to a private hospital It was obvious from Potter test that Mrs. Wendover could not have fired the 45 which ended the lives of Phelian Toby Obvious to me. Lieutenant Brady was a skeptical man.  All right. Come on get those baskets out of here I say dollar. Hi Teddy. How's Mrs. Wendover? That remains to be seen. She's screaming about that darn curse again She thinks she had something to do with these murders Donna, I don't know quite how you fit into all this. I do know I'm terribly indebted to you for calling me now What can I do for you? Are you in trouble? I don't think so Brady's just excited He can't see where I should be involved. So he suspects me of what? Oh, he doesn't know that He's a policeman and he suspects everybody, but don't you worry about it. You get back to her I really do have a good lawyer. He can work on it if you give the word I can't just walk out of here feeling that you're in jeopardy. Now. What can I do? I Thought you were over at the hospital, mr. Davis. I was I came back to see what I could do for mr. Dollar You can scram now watch whom you're talking to lieutenant. This man is my friend Hey, are you kidding not a bit take it easy fellas take it easy.  What's the job? Mrs. Wendover's husband died two years ago. She just got around to filing for benefits last week We were curious about it. Go on. Well, can't you see mrs. Wendell at him, huh? As near as I can make out mrs. Wendover's overlooked a lot of things since her husband's death taxes bank accounts whatnot Hillary Fuchs can tell you that much this curse business. She mumbles about well She lost her husband before that her brother killed in the war and her father before that, you know You don't seem to pay much attention.  Davis Go on how about the insurance? Well, okay? I was ready to leave town last night as a matter of fact I'd call for a plane from Fuchs office What a man named Scanlon came in mistook me for Fuchs and said Sam costigan wanted to see me Costigan's got a gambling place on the other side. Yeah, yeah, yeah, we know about it Go on well costigan gave me a necklace the tears of night said it belonged to mrs. Wendover He asked me to bring it back to her said she'd pawned it at the roulette table When I got here mrs. Wendover was wearing the tears of night or something that looked just like it Well, I was curious. I looked up the jeweler who had made it a man named mortuus. He said I was carrying the real thing When I left his place a couple of men from costigan's place followed me. Oh those two who were killed feeling Toby They caught up with me outside of this apartment house and tried to shake me down for the necklace But I'd mailed it to myself at my hotel So they worked me over and left me there when I came too earlier this morning I came up here and found mrs. Wendover sitting here in a state of shock the two steps in a room That's it. Yeah, righty.    I know mrs. Wendover couldn't have had anything to do with the killings I know you dollar couldn't either then go out and find who killed those two men those two and the other one Huh? Costigan was gunned down a couple hours ago About three o'clock in the afternoon Brady released me and Teddy Davis drove me back to my hotel The clerk at the desk looked at my bandage face and turned eight shades of white when he handed me my key I thanked him and told him I'd kept a date with a barracuda. I was feeling kid-ish Also a little dizzy and a little tired. I was looking forward to a hot shower and ten hours sleep when I walked in my room Oh dollar, I've been expecting you come in sir come in Hello, mr.  You've had a hectic night Your boys were pretty rough mr. Mortuus Philly and Toby are two men of another world mr. Dollar not of our world allow me to apologize for their actions I want more than an apology. They almost beat me to death and so unnecessary to You know I underestimated you mr. Dollar such an ingenious method of protecting the tears of night Why sir by the simple expedient of placing it in an envelope and mailing it to a yourself from my hotel lobby You hired as guardians the entire United States Postal Service not to mention the armed forces. Yeah One of these no no thanks. I'm one of those faint-hearted persons who cannot abide liquor until after six in the afternoon What happens now we wait for the mail We do precisely Then while we're waiting maybe you'll be kind enough to tell me about the double cross If you can bear my vanity mr. Dollar, I I have invented a new word triple cross. It has a ring to it Hey, that sounds likely you see mr. Scanlon approached me last week and asked me to duplicate the tears of night Mrs. Wendover had truly pawned at the gaming table naturally. I became suspicious Let me guess what you became suspicious of. Oh Well, it was fairly obvious that mr. Scanlon was planning to double-cross mr Costigan that is when the time came to return Mrs. Wendover necklace. He's Ken and I mean Intended to return the bogus piece. I made up and you got into the act that is when I first conceived my own plans Yes, unfortunately, mr. Costigan learned of the little deceit going on around him and mr.  Scanlon again abetted by the last of the house of mortus You helped him kill them then planted them and at least Wendover's apartment. Oh dear a crude touch I thought but it had a purpose with two cadavers in a living room She was very unlikely to discuss her bogus necklace with the police And I doubt very much if she knew whether she was wearing the original or in imitation flighty girl That's the lousiest thing the house of mortuers ever did She walked in and found these two there and the doctor doesn't know whether she'll ever be sane again Oh dear dear dear if you had merely returned the necklace to mrs. Wendover It would have been a simple thing to affect an exchange and none of this would have been necessary Well then by guns are by gongs sure. I know You just sit here and wait for the mail. No, no, no, we wait for the mail. What about your playmate Scanlon? Why isn't he waiting with you? Scanlon. I'm afraid I'll be sought for a murder of two or three this night I'm certain the police will find his body before the day is out But I did need him to help me carry the bodies to Elise Wendover's apartment Elise Tell me something mr. Dollar. Does that name Elise bother you as much as it bothers me? Give me a woman with a name like Celeste or Josephine or Roxanne Those are names for the creatures, but at least yeah twaddle. Where are the police going to find Scanlon? Oh in my hotel room, which I departed H. Lay once the room clerk had informed me of your ingenious method for protecting the necklace I shot him there You work cheap mr. Mortuus cheap sir. I don't understand 10,000 dollar necklace. It's not quite a king's ransom, is it? The tears of night are worth closer to a hundred thousand dollars I'm afraid I misinformed you to their value. I didn't want you to become suspicious. I suppose you think you'll get away with it Well, I'm an old man Attended to a destitute and bankrupt jewelry firm with nothing ahead a few grim years and finally a whimpering end That we are set in pass Live that's what I want to do live and this is my opportunity to live like a king and young man. I've taken it Many Vidi Vici you're crazy. You're crazier than a mosquito in December was they'll grab you before you make the air I don't think they will I Shall leave here and turn the tears of night into cash With a well-laden purse I shall guarantee to elude the police over half the world In two years, maybe three. Oh, yes, they'll get me But I will spend the money and what more could a man ask than a perfect fulfillment of all his wishes Oh, I asked you sir is one gentleman to another what more could a man ask? Cautious mr. Dollar. I do shoot well answer it tell them to go away I'll be right beside you open it Mr. Scanlon I have a gun Your loss of blood has made you groggy mr. Scanlon Still Scanlon rolled over and lay still what you was kind of grunted lean back against the wall. He had a pain look on his face Mr. Dara Mr. Dara, I Do believe I've been shot I need a little assistance. I I Can't seem to hold my feet sir. I can't seem to hold my feet I still It was an awkward plan at best Demortuous new nice a bono daughter What if your Latin still escapes your Speak well Of the dead, let me have the police Expense account well Expense account total four hundred and five dollars and sixteen cents details Mrs. Wendover will recover remarks I'll stand for the last two days of expense myself. I didn't have any business sticking my nose in the jewelry end of it But if you make me pay for them, you'll never try to hire me again yours truly Johnny dollar Now here's our star to tell you about next week's intriguing story next week the matter of a reasonable doubt a case of many doubts and believe me All of them are most unreasonable Join us. Won't you yours truly Johnny dolly Johnny dollar starring Bob Bailey is transcribed in Hollywood written by John Dawson It is produced and directed by Jack Johnstone Heard in this week's cast where Virginia Greg Victor Perrin Jack Krushen Jane Avello William Conrad Frank Gerstle Marvin Miller and will write musical supervision by a marigomarino and Carl Fautina Be sure to join us on Monday night same time and station for another exciting story of yours truly Johnny dollar Roy Rowan speaking


Gamora actor Kayam Thambu, Spongas, actual age Shaksmsansi. Kayam Thambu plays the role of Sponga on Gamora. On Gamora, the Sponga Maddy Da character is married to Pretty Molf. He works at the Sonto Tavern with his wife. Sponga cohabits with Pretty Molf at Ma Sonto's house and is often ridiculed by community members for staying with his mother-in-law. Sponga is married to Pretty and is the father to teenage girl Chuyamo the role played by Laredo Mokoka. He dreams of taking his family out of Gamora. Marrying a frustrated daughter from a family where she is treated and lives in the shadow of her elder sister is an arduous task for Sponga to deal with. When Ma Sonto's elder daughter Thiti and her children arrive to stay in Gamora, a sibling war erupted between Pretty and her elder sister, leaving Sponga to deal with his wife's anger. Sponga frequently gets ridiculed by community members for cohabiting at his mother-in-law's house. He is also a well-respected school committee chairperson at Gamora High School. The role he plays with respect and integrity, Sponga was involved in reprimanding Principal Malusi Dlamini. The role played by Zelaisa Zelieva when he exchanged blows with London, his student. He is frequently rebuked for acting impulsively and without analyzing the situation. Sponga struggles to shack off a cheating scandal on his back. Kaia was born in Empangini, a city located in the north of Durban. He discovered his acting talent early. What started as a comic child during family gatherings and holidays was natured into global talent. Kaia Mthumbu performed short drama plays in high school during his early years. Kaia is qualified with a degree in acting and contemporary performance from Rhodes University. He enrolled with AFDA School of Film in Johannesburg. His young age, 36, captured the attention of soapbill fans, who often see him portraying an older character in the soapies he featured. Over his career, Kaia played roles in popular soap operas. He featured on Generations the Legacy, Detective James, Izathumbiso as Detective Mfilico, and Izathunzi as Chief of Police.


We are back to many electron atoms at last. But then the detour that we took was long perhaps meandering but fruitful because it has taught us two most important approximation techniques of quantum mechanics variation method and perturbation method. So today what we will do is since we have talked about many electron atoms perhaps maybe two weeks ago or something we will just do a quick recap of what we have done. Since we have done many perturbation theoretic calculations we are going to present the perturbation theory for helium but we will not work out every step but we will just show you the results and hopefully that will convince you that perturbation theory is a good way to go for systems like helium. In the next module we are going to talk about variation method and perhaps we will also mention certain things that we cannot avoid mentioning any more we should do it now. But before that I hope we have not forgotten that for many electron atoms this is how we wrote the Hamiltonian in a concise form the Hamiltonian of many electron atom is essentially a sum of n number of one electron Hamiltonians plus a sum of one of n number of not n number sum of this nc2 essentially number of electron electron repulsion we are taking pair wise repulsions here. So there are n number of electrons so each will repel the other so number of combinations of those electrons that we could take two in the combinations of two that we could take is nc2. So basically that number of terms will be there for this electron electron potential electron repulsion and what we have learned well two weeks ago is that this electron electron repulsion cannot be ignored remember to start with we had tried to wish it away and learned very soon that you cannot do that. So then what we said was let us build this electron electron repulsion term into the nuclear charge itself. Let us talk about something called effective nuclear charge which is the actual nuclear charge well theoretical nuclear charge minus a shielding constant because the effect of electrons repeling each other you can think is like one electron shielding the other one from the attractive potential of the nucleus. So we said that instead of having three kinds well two kinds of terms here we might as well build this electronic electron repulsion into this z and then things become a little easier to handle because this becomes Hamiltonian and the wave function also has to be changed and that becomes a wave function that involves not z but z effective. All right with that we had shown you a calculation in which the shielding constant incorporating shielding constant we get the value of ionization potential or value of the energy of the potential of the of Helium atom which is more or less close to the actual experimental value. So that is what we had got and then at that time we had said there are methods like perturbation theory and variational method that help us estimate z effective. So that time we had made a choice with destiny and now we must redeem our pledge you must see how perturbation theory and variational method can help us formulate the problem of many electron many electron atoms in a suitable manner. And the other thing that we had discussed remember is spin angular momentum this I do not know why again I forgot to move this a little bit anyway we talked about spin angular momentum and the reason why I bring it up once again even though you are familiar with this term is that please do not forget that spin quantum number of electron is half m s is plus half and minus half. So spin angular momentum s is given by h cross into square root of s into s plus 1 where s is the spin quantum number and z component of that angular momentum is given by your h z which is m s multiplied by h cross when we say plus half minus half we are talking about m s and not about s and then we know that we have to talk about spin orbitals. We have to take this special part of the wave functions the orbitals and multiply them by spin part whenever we talk about many electron systems because here spin is going to play a vital role and how it plays a vital role was manifested when we tried to think what how many different spin orbitals we can write for simple two electron system we can write alpha 1 alpha 2 beta 1 beta 2 both the electrons have up spin both the electrons have down spin no problem you can even see it experimentally but we cannot write alpha 1 beta 2 or beta 1 alpha 2 because you do not know whether it is 1 or 2 that has alpha spin you do not know whether it is 2 or 1 that has beta spin so you must take linear combinations and linear combinations can be taken in two ways symmetric with respect to exchange and anti-symmetric with respect to exchange symmetric or anti-symmetric with respect to the exchange operator. So, we see that we can when we talk about spin orbitals we can have symmetric and anti-symmetric spin orbitals with respect to exchange and that takes us to the sixth postulate of quantum mechanics which says that for identical fermions like electrons the total wave function must be anti-symmetric with respect to interchange of all the coordinates and that essentially as we learned led to poly exclusion principle which said that the MS value must be different and incorporating that we learned how to write this many electron atom wave function very conveniently in the form of Slater determinant. The good thing about Slater determinant is that we just exchange the two rows or columns there is a change in sign which implies that it is anti-symmetric and also if any two rows and columns are same then the determinant is 0 which ensures that no two electrons can occupy the same spin orbital it is as simple as that. So, this is the point where we stopped talking about many electron atom and started talking about your approximation methods. Well this is the point after showing the Slater determinant for an n electron atom we did not stop at 2 or 3. Now before going forward and presenting the perturbation theoretical treatment of helium ground state let me just introduce atomic units which I am sure many of you must be familiar with. In the subsequent discussion most of the time we are going to use atomic units or natural units that helps us a little bit because you do not have to write complicated expressions expressions all become smaller but the danger of that is that you must not forget that there are lots of ones in there and you should not forget which one is one what am I talking about here this is what I am talking about for mass the unit I use is not kg or gram or pound or anything I use the unit I use mass of an electron as unit. Right what is the mass of an electron I do not even remember very very small quantity in gram so that much of gram I say is one unit of mass one atomic unit of mass. So, wherever mass is there in any expression I will get one so expression will become simple but I must not forget that mass is actually there this actually reminds me of this question that we often ask activity and activity coefficient activity has no unit activity coefficient has no unit but concentration as unit. So, what is the fallacy here how can you have something with a unit multiplied by something that does not have any unit giving you something that does not have any unit actually that also is a ratio this is essentially a ratio when I say when I use atomic units what I am doing essentially is that I am dividing the mass of any object that I am handling by the mass of an electron and representing it is in units of electronic mass similarly charge is represented as units of electronic charge charge of an electron is said to be one in atomic unit angular momentum is written in terms of h cross most important we do not stop writing all those h crosses that we have been right. So, if you ask what is the spin angular momentum we simply say root over s into s plus 1 and similarly z component of angular momentum is similar simply say m s we do not even write that h cross because we are setting h cross to be one atomic unit permittivity we stop writing that annoying 4 pi epsilon 0 we said that to be one for now length is represented in terms of Bohr radius I have not written the expression but we know what Bohr radius is. Electric potential is written in terms of potential of an electron ah sorry for the typo and electron in first Bohr orbit magnetic moment is written in terms of Bohr magneton we are not really using it right now and energy very important is written in terms of Hartree. So, Hartree is twice the ionization energy of atomic hydrogen and if you remember the atomic the ionization energy of atomic hydrogen is 13.6 right actually 13.605. So, twice that is 27.21 electron volt. So, one Hartree is 27.21 electron volt. So, that is a large number for atomic systems significant number. So, when we talk about atomic unit energy in atomic unit ah you see that we often go into many decimal places and you might wonder what is going on why you are writing 5, 6, 7 decimal places because when you convert that to electron volt we get a number that would perhaps differ in so many decimal places of atomic unit with that background and knowing the Hamiltonian for helium atom what is Hamiltonian for helium atom it is minus h cross square by 2 m del 1 square minus z square by 4 pi epsilon 0 r 1 that is the Hamiltonian for electron number 1 for number 2 it is minus h cross square by 2 m del square minus z square by 4 pi epsilon 0 r 2 and what is this ah sore finger sticking out z square by 4 pi epsilon 0 r 1 2 that is your electron electron repulsion term because of which we have had to ah study all these new things over the last couple of weeks. So, what I will do is I will take this start from this Hamiltonian for helium atom and I will write it in atomic units what will happen all the h cross square will become 1 all the m's will become 1 because here m is mass of an electron.  So, you are left with minus z by r 1 similarly in the fourth term you are left with minus z by r 2, but do not forget that e square is there 4 pi epsilon 0 is there is just that we write in atomic units. So, we do not put those in but if you want to calculate actual energy we will have to incorporate all those once again.   So, now I will start from this Hamiltonian and we will try to develop a perturbation theoretical treatment for the ground state of helium atom. If you wanted to perturbation theoretical treatment what is the first thing we need we need the zeroth order or unperturbed Hamiltonian what would that be that would be the sum of the one electron Hamiltonian. I do not understand this why have I not written it in atomic units do not believe I did that after saying all that anyway let us go ahead. So, this here is the zeroth order Hamiltonian and what is z square by 4 pi epsilon 0 r 1 2 or in atomic units z by r 1 2 that is the first order correction to Hamiltonian what would the unperturbed wave function be unperturbed wave function would be the product of psi 1 s of r 1 and psi 1 s of r 2 that means see we are still using orbital approximations or right we are keeping the or the electrons in their own orbitals. So, electron number 1 is in 1 s orbital electron number 2 is in the other 2 s orbital other 1 s orbital these 2 are written in terms of r 1 and r 2 the 2 position vectors of the 2 electrons this is my zeroth order wave function what do I need to do I need to know also the zeroth order energy what would that be this one is written in atomic units sorry for not writing the Hamiltonian atomic units here but I hope this is not very difficult for you to understand the zeroth the uncorrected energy will be simply the sums of the 2 unperturbed energies of the 2 electrons. So, minus z square by 2 minus z square by 2 in atomic units gives me minus z square atomic units I will just give you the result for the first order correction to energy and just believe me when I say it is 5 8 z it is not really worked out in any of these books that we are consulting but pointers are provided on how to work this out in problem number 6 of chapter 8 of McQuarrie's quantum chemistry book right. If you work out that problem you will arrive at this expression for the first order correction to energy to be 5 z by 8 what is total energy then total energy is minus z square plus 5 8 z that is that turns out to be minus 11 by 4 z there is a minus sign here that I missed I am sorry. So, or I have to write e zeroth minus e first so that turns out to be minus 2.75 atomic units which is 74.83 electron volt is that good or is that bad actually it is not all that good. So, let me now show you another compendium of results remember when we had completely neglected inter electron repulsion the energy that we got in atomic units was minus 4 okay here we at least we get minus 2.75 first order perturbation theory calculation gives us minus 2.75 atomic units if we increase if we do second order perturbation theory treatment then the energy we get is minus 2.91 atomic unit if you keep on going then I will just show you the 13th order perturbation theory result this is by Shear and Knight published in 1963 here we get and now this see what I was talking about you have to go to a lot of decimal places if you want to work with atomic units we get minus 2.9037 to 433 what is the experimental value minus 2.9033. So, the difference between the experimental value and the calculation involving a 13th order perturbation is in the fourth decimal place okay not bad. So, using perturbation theory you can actually get pretty close to the experimental observed value and see your variation the upper limit theorem applies here as well right we are not crossing it minus 2.9037 to whatever is still more than minus 2.9033. So, that is what we get by using perturbation theory for our helium atom ground state next what we want to do is we want to use variational method and see what we get and as we said we have to discuss some more topics before we can get there but one thing that I want to say here is that this is actually the beginning and not the end once we are done with this discussion of variation method we will embark upon what is called the Hartree-Fock method using self-consistent fields to achieve a better value of the energy okay and we will see what that means but what it will involve is where we had stopped the last module that remember we had said that we should use a wave function that is a linear combination of orthonormal eigenfunctions of the Hamiltonian Hamiltonian means Hamiltonian of the exactly solvable system if there is one and then we do not work with those functions as such but we build in some variational parameter in the functions themselves not only coefficients. So, the coefficients are variational parameters functions themselves also contain variational parameter that gives us greater flexibility. So, it becomes again a numerical problem right and that would require algorithms that would require quantum chemistry and essentially what you would want to do there is you would want to minimize the energy with respect to each of the parameters if you remember a few modules ago I had very very sketchily talked about this and we will talk about that once again later on but Hartree-Fock actually enables us to handle larger systems you do not want to stop at helium and even for helium we need a 13th order perturbation theoretical calculation. So, what is going to happen for benzene right we want to talk about benzene right and nowadays people talk about much larger aromatic molecules bigger molecules so on and so forth how do we handle those in fact I remember a very senior quantum chemist once told me that for him quantum mechanics begins after Hartree-Fock. So, for us in this course let us at least go up to Hartree-Fock and then later on when we talk maybe in some other more advanced quantum chemistry course we can learn about more contemporary methods here we will at least provide the state of the glimpse of state of the art later on. But we have made a good beginning today we have discussed what kind of results we get and what kind of improvement we get in the perturbation theoretical treatment of ground state of helium as we increase the order of perturbation. Coming up next is the variation method for helium atom.