foreign stationery States okay correct [Music] electron ICS energy level s States the orbit foreign most clean hydrogen e z is equal to one uh that's it energy of an nth orbital for a hydrogen wherever units 90 divided by n Square so it is okay so 13.6 divided by n Square on the electron volt per atom on the conditions foreign there is any possible negative energy from magma yes radius of nth orbital a naught a not bigger than enough so okay a naught into n Square divided by e z is 0.529 0.529 for eign in the values the energy of nth orbital sorry radius of enthorbital series velocity of electron in nth orbitals are in the moon Point um hydrogen or hydrogen like atom it is half n Square divided by is I mean atomic number correct body that's it I am strong unit now here velocity of electron in different orbit so wherever orbitals V naught into two divided by n so velocity in general over in general or V naught initial state level electron velocity okay V naught into is that divided by n got it so our way it's a 2.188 into 10 to the power 8 centimeter per second okay so in a way velocity of nth orbitals 2.1 gate 8 into 10 to the power 8 is that divided by n okay centimeter per second so that's it so if I import another point in an iPhone yeah energy of electron mostly quantizers so angular momentum is mass velocity into radius n into okay integral multiple of heights divided by 2 pi yes now till now yep foreign all right in the electron ICS under the influence of nucleus is you don't know okay got it Synology that's it next so now advantages hydrogen foreign or nucleus energy in the electron in the orbit in the orbitic energy level on the E1 in the orbitic energy level E2 so in the electron ICS in the electron first is equal to E2 minus e1ma higher energy level to lower energy levels HMU is equal to E2 minus E 1 so line Spectrum in the lines foreign radius foreign electron beryllium 3 plus electronic species and after that velocity calculator limitations it's failed to explain multi electron species electrons species Vietnam electrodes electrostatic static attraction foreign foreign okay so he missed this point so limitations explained multi electron atom or species helium plus lithium two plus questions so that this is the reason okay multi electron species and after that explains foreign foreign splitting of pectoral lines lines under by electric field effect okay Stark effects [Music] explained so these are the drawbacks so splitting off pectoral Lines by magnetic field effect yeah okay now third point is foreign electron ICS so in the red bug formula is what is what is this wave number energy so red birth formula energy is between two Shelf energy between two orbitals for orbits energy is equal to ah C mu bar ium see with an already okay so in the formula number see in the blanks function C is a velocity of light in the render value again energy calculator energy is equal to Blanks constant okay Banks constant in around 6.6 into 10 to the power minus 34 Roma okay now velocity of light 3 into 10 to the power no like like like in the values substitute one zeros nine six seven seven one divided by n 1 square minus n the last one okay energy Blank Space the energy of energy between energy calculator constant in terms of wave number okay wave number in the value in terms of energy velocity of light in a multiply I mean red bird constant in the value minus frequency relationship frequency multiple one divided by n one square minus 1 divided by n 2 square got it that's it so everybody you know frequency order uh value ingredient for frequency so um velocity of light are you in the value in your multiplied um C by Lambda is nothing but my yeah one by Lambda 99 wave number is nothing but reciprocal of wavelength in the formula in the formula so e is equal to H C mu bar okay above what is the relationship between mu and mu bare candle in a relationship foreign so that's it okay so reporting on the relationship that's it guys okay that's it wave number centimeter inverse because it's a reciprocal of wavelength and E Joule per atom and frequency in a second inverse hits calculate the radius of both fifth orbit of hydrogen atom okay also solution n is equal to orbital radius so radius of nth orbital is nothing but a naught and um you know room um yeah n Square n Square divided by is a term is it is nothing but one name because it's hydrogen the name so when I answer radius of nth orbital value in a half zero point five zero point five into n Square what is n Square anji Kayla one foreign [Music] [Music] oh that's it okay this isn't for your homework so you don't know the second second homework either answer comment box support okay let me check so calculate the radius of third orbit here n is equal to three helium helium is so next tomorrow click concept of dual nature of matter matter both normal away number history but particles or nature or substance foreign foreign foreign by using Wave nature yes scientific name is but it's difficult to find okay so but anyways that that substance has a both wave nature as well as particle nature wave nature wave nature substance William Cisco so either on the other representation particle nature represent molecular formula in the render formulas okay D broccoli merch powder yep now e is equal to H mu correct term so on the formula Knight is equal to m c Square in the formula number D broccoli in the responder e h mu is equal to m c Square okay so nine upon Prime frequency random C by Lambda so again m c Square single velocity of Life velocity velocity of matter okay so further up the Lambda I'm going to put it got it H C by Lambda is H divided by Lambda is equal to m c f so you're saying the velocity of light but in here is the velocities are representative is velocity of other subjects of substance Okay so MV so now here where will I'm going to calculated H divided by m VM so either that is Lambda is equal to Mu H it's a nothing but it's a momentum so Lambda is equal to Blanks constant divided by momentum calculator um okay so p is nothing but momentum okay and Lambda in a wavelength so wavelength is dual nature so it is foreign sound waves sound waves gases and and electromagnetic radiation velocity of light so seeing grass on the velocity okay okay now next they have source so either foreign foreign so Lambda is equal to H divided by m into V of use polynoma am I right okay potential acceleration and kinetics kinetic energy so kinetic energy kinetic energy is half foreign foreign foreign root M divided by M root of 2 em okay now we manage H divided by root of m 2 m it is a on the formula H divided by root of 2 mg okay got it so this is a formula sir now velocity application energy on the electron volt energy of electron under the potential difference energy of electronics in terms of electron voltage alone okay in terms of electron modulus 1.6 into 10 minus 19 upon in the form further Lambda is equal to H divided by root of 2 m okay Mass in terms of electron volts charge under one charge of electron being really potential so in a potential value is okay so that's it so the root we increase okay voltage under potential so this is potential V is nothing but my potential yeah potential difference okay that's enough um bye [Music] actually character mode foreign so number of waves into other wavelength Lambda 2 pi r is equal to n Lambda is so in the circumference and wave distance I mean wavelength wavelength are the number of waves circumference foreign like the equation one is the equation equation one two pi r is equal to n h divided by m VM foreign VR is equal to n h divided by 2 pi up dates MVR is equal to n h divided by 2 pi M we are getting an angular momentum number okay number of waves okay next Hertz divided by 2 pi integral multiple of H divided by two number of waves okay just integral value so you're not a value one hour so a not a value one hour kilometers no Heisenberg uncertainty principle okay that is the principle position simultaneous particles you know positions subatomic particles it's a sub atomic particles foreign wavelength or frequency is it a frequency images foreign okay because it's a micro subatomic particle okay that's what's in our normal so light to the wavelength sample order accurate see higher okay so greater the accuracy so lambdaction accurately higher so Lambda is energy so Exacta or objective or subatomic particles before right foreign momentum it is foreign foreign foreign sufficient for this electron to change its momentum is foreign multiplication now here um models nature foreign partially the partial differentiations okay H Pi square m divided by H square e minus V foreign um hamiltonian Operator hamiltonian Operator wave function multiplication is quantized value of energy okay in the quantized value or either a gun functions function context function of energy energy value of energy in the valley wave function um no in a hamiltonian Operator hamiltonian Operator minus H Square by H Pi square m okay in the Delta Square laplacian is the laplacian operator yes in the wave function along three axis okay yes that's it okay laplacian operator so PSI Square divided by dou x dou square divided by dou x 2 square divided by dou E uh dou Y and dou square divided by dou X okay that's it so in the operator repair the laplacian operator hamiltonian operator into wave wave function in the operator foreign probability density in the longer so PSI square or a value higher the channel possibilities so probability density or so PSI Square then a probability of PSI Square probability of an electron on this is okay so now here European foreign Indiana most possible most possible in the locations so most possible place most promisable is to find you okay maximum engine is a nucleus quantum numbers so quantum numbers first number additives spin quantum numbers foreign yes or energy levels over energy levels foreign orbital spin counter number motion is so here orbit or energy levels energy levels whatever so it's up to you over first orbital over orbit over orbit link which is foreign order so now here number of electrons possible in fourth shell either n is equal to four principle quantum number n is equal to four next number hmm nucleus is until um foreign foreign n is equal to 1 n is equal to one yellow Valley foreign that's it it's of course it's a s okay yes orbit orbital okay energy level n is equal to three now okay energy difference foreign that's it is okay quantum mechanical terms so that's it based on angular momentum first one in a principles next foreign foreign Ram um angular momentum or electrons um number yes 2p so S and P in the two yes yes orbital with orbital okay orbitals hmm irregular interceptions s orbital subdivisions p e x p y p is a pair of electrons on the x-axis p x p orbital diagram p x either p y p z so p x is okay spherical shape so yes so dumbbell ship so Double Double D orbital so yes orbital spherical ship and p orbital shape D orbital double okay that's it so p orbital Moon subdivisions is it that's it just angular momentum is a preferable orientation first energy level energy levels um everybody d x y d y is at D is at X and d x square minus y Square then final at d e z Square it is foreign foreign foreign that's it okay so that's it now symbol Indiana is got it so just if you know once again okay yes um meaning f is n is equal to 1 n is equal to in the N is equal to 2 now it was short type of questions um L is equal to 0. just 0 to n minus 1. so um got it zero one a random by n is equal to three L is equal to zero either L is equal to zero okay first L is equal to zero L is equal to 1. l is equal to two angle of momentum yes [Music] foreign rotation so long okay so the yesterday momentum is okay that's it so in the yes blanks constant divided by 2 pi yeah okay nothing else so your spin angular moment in a root root of yes yes minus half okay that's it so the value number substitute root three by two values momentum root three by two and cooler momentum where a magnetic momentum where motion velocity has motion but magnetic momentum magnetic properties n into n plus two in the BM bore Magneton okay so either a magnetic momentum so spin moment that spin angular moment spin magnetic momentum on the fixed root three by 2 H bar Anna um spin Magnetic Moment it depends on number of unpaired electrons that's it if a shape of s orbital the already principle counter number 11 there s orbital mean like over energy levels yes radius atomic radius foreign okay Oneness orbital representative Oneness orbital now here even but in a size Square in the PSI Square meaning in anybody you know uh the wave function electron or wave function is the probability to find electrons so Oneness orbital so radius it's on the 2s orbital first two years orbital diagram two years and about two years foreign foreign foreign this place is known as node so a particular place from the electronic records PSI square is nothing but probability to find an electron or Electronics is a node sorry PSI square root of volume four node in node in node PSI order value PSI Square Order value okay so then for body increases okay so either for shape of two years orbital you have two p orbital dumbbell shape s orbital spherical p orbital dumbbell shape X or x axis p y is it actually no p is it if first d x y character so by the X orbital is double double shape is it is at axis D is at X d x square minus y Square y axis double double shape along the axis either that d x square minus y square number d z Square D is Sue spherical um probability to finding an electron zero other notes if a p orbital and D orbitals are notes calculated nodes foreign foreign this is nothing but my Oneness Orbiter this is my Oneness are there two years two years foreign foreign foreign numbers one two three for example p orbital D orbital F orbitals foreign yeah density okay so in the in the particular plane or plane particular plane like Electronics so keep it in your mind or spherical shape Electronics spherical or radial node on the plane the electron in another planar Road or ankle or no no so long got it radial node radial node calculator principle quantum number minus asymmetal quantum number minus one number of radial nodes for example in um for example 3 is equal to three yes what is the formula n minus sorry n minus L minus one calculator three minus yellow value 0 minus 1 of automatic at 2 Erma correct um two radial nodes [Music] next to put on yeah we did two years okay total number of upshills total number of total number of yells um like orbitals um PX p y p is one foreign n Square okay so for example equal to 0 1 rendered and just explained minus one two minus 1 2 plus 1.99 minus 2 minus 1 0 plus 1 plus 2. character plus 2 now Siri wait so yes in a plus one minus sorry um zero minus one of the L is equal to zero n is equal to three others m is equal to yellow yellow foreign foreign n Square n is equal to Three N is equal to three yes n Square even three now three Square three square is equal to um foreign foreign in m 2 the Formula 2 into 2 L plus 1 Omega 2 L plus one in the formula ethernet number of electrons to 2 into 2 plus 1 now 2 L 2 l 9 and 2 4 plus 1 is equal to ten okay Papa L is equal to like another electrons that's it maximum number of electron two n Square that's it wherein a number of orbitals in a sub shell number of orbitals in a subshell so is it shell s okay the formula in a two L plus one two L plus one four times L is equal to two orbitals 2 L plus one is what is radial notes spherical nothing radial notes foreign [Music] total number of nodes total notes calculations spherical okay spherical node angular node yeah so spherical and angular radial node so spherical node you're a ferment radial node or spherical order formula spherical node or formula n minus L minus one character in a two P so Two Pina naught a value in at 2 P 9 mm 1 minus 1 is equal to zero so for two P radial node on the NMR 0 or ground uh radial node when the energy total nodes spherical nodes foreign Plus total nodes is equal to radial nodes Plus planar nodes okay radial nodes plus planar nodes n minus L minus 1 plus planar nodes n minus one yes sir no yes so now here your 2pk in a total number of nodes simply calculate under the N minus one again two minus 1 total nodes first one radial nodes so radial nodes n minus L minus 1 n not a value naught three okay so 3 minus uh yellow value um because yes radial nodes for three D is zero modern shape so um now here next total notes total notes n minus one n n three minus 1 is equal to two in the two notes so and again the notes planar nodes this three as is your homework okay make sure that okay yes foreign foreign enough electrons is thank you so just Electronics an orbit can have maximum two electron sorry orbital when an hour an orbital has maximum two electron for example subscribe foreign is ready and after that question is N1 N1 you know hydrogen pathology nucleus is so that's it n is equal to one so you can get lowest energy so first electron low energy or shelves low energy sales and the energy basis on the basis of energy our um n is equal to one n is equal to two in the first shell second shell third shell fourth shell fifth shell sixth cell so over shells and a potassium quantum numbers okay angle of quantum numbers first Oneness two okay electron for example electrons first Oneness Oneness or box curriculum first orbital and the orbital or in the electrons next line first line would get the line two yes okay two years two years because whatever boxes one two three four five electrons foreign electron Electronics electronic configurations alpha principle next concert but um foreign foreign foreign they will get unstable programs maximum multiplicity maximum multiplicity electrons so when that half plus half so much spin you got a spin on the maximum another multiplication minus half so zero okay so your possibilities so maximum spin multiplicity that's it foreign Oneness 2 S 2 p 3 yes 3p 3D 4S for just Europe male indicator electrons first orbit I mean first Cellular in the electrons for Love Yes n is equal to one field two yes yes so three is one one is two two s two two p is foreign okay if my electrons are flippantry one is six electrons foreign foreign [Music] okay Oneness two yes okay another thing 2 pm [Music] one two two people three years neither Oneness 2 yes 2p 3s 3p is 3 yes so 4S so k 4 S okay foreign foreign based on alpha principle one two three four five okay one two three four five okay r um okay um foreign [Music] foreign like neon Auto configuration okay [Music] to P 10 organ gas order configuration so in the form foreign porus is [Music] this is expected okay it is I expected but this is actual so if we expected organ guess um thank you one two three four five six seven eight nine ten like everybody organ 3D nine sorry it's 3D 10. symmetrical distribution N is a symmetrical distribution foreign yeah but p orbital okay p orbital in the p orbital line they will get little bit stability and the stabilities so number of molecules because you know fully filled foreign foreign yes these are the bats so Mara batch it's a um offline batch okay offline batch and this is the battery batch online video everybody and don't forget uh doubt and clarification in the number of and that's it for today guys thank you all thank you thank you thank you wanna come wanna come bye bye bye bye bye bye bye