Physics, 17.07.2019 18:10, myapawesomeox22sq

(a) by means of a simple table, summarise the four quantum mmbers that are assigned to electrons confined in any atom. (you may ignore the spin angular momentum quantum number which always has the value s-½.) include a statement of the allowed values of each quantum number (b) in your own words, write down: (i) pauli's exclusion principle; ) hund's rule. what other principle needs to be employed in determining the electronic structure of the ground state of an aton

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Physics, 11.07.2019 00:30, AllisonMcruther

addition of two spin-1/2 angular momenta (30 points) consider a composite particle composed of a bound state of two spin-1/: 2 particles a and b. as examples, this could be the electron and a proton in a hydrogen atom, or two electrons paired in a superconducting state (a cooper pair). here we ignore the orbital angular momentum, and concentrate just on the spin angular momentum. (in the real world, one has to worry about the orbital angular momentum as well, but we will get to that next semester.) a). to begin with, assume that the two particles have general spin values sa and sp. each particle has its own spin operators: sa, sa, and sa, for particle a, and s, s, and sp, for particle b, as well as separate spin quantum numbers, which we may label as sa and ma for particle a, and sb and mp for particle b. including only spin, the basis vectors may be written as (18) (note that a single state must identify a spin configuration for both particles) the spin operators for particle a and particle b are independent. given this, write down the result of the operations of (sa)2, (sb)2, sa, and š3 on a general two-spin state of the form sa, ma; sb, mb). keep sa and sb fully general in this part (b). now let the the particles both have spin-1/2, so that 8a = 8b = 1/2 because these numbers will never change, it is "boring" to write them over and over again, and so we may just write the spin states of the paired particles as (19) 2 how many different states are there for two spin-1/2 particles? list them all if you like, you may use the standard notation of using the uparrow () and downarrow (l) symbols to denote m = 1 /2 and m =-1/2, respectively, so that (20) we will take the full set of allowed states to form the basis for our hilbert space (c). when particles a and b are combined into a composite particle, it is often useful to ask about the total spin of the composite. in particular, interactions with other particles and fields will often depend upon the total spin, so we would like to determine what that is define the total spin vector operator as (21) are the states you listed in part (b) eigenstates of s? if yes, give the value m for the quantum number associated with s for each of your eigenstates, and give a general relation between m and ma and mb. (note: m can be different

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Physics, 27.08.2019 16:30, mangowammy

Aca atom (atomic number = 20) is in the ground state. light is shined on the atom, exciting the most energetic electron. which of the following arc possible quantum numbers (n,l,m) of this excited electron? we omit the electron spin quantum number. (4,0,0) (4, 1, -1), (4, 1, 0), and (4, 1, 1) (5, 2, +1) and (5, 2, -1) all of the above none of the above you are given a collection of quantum dots (treat as 1-d infinite square wells) and a collection of diatomic molecules (treat as simple harmonic oscillators). you find that the same wavelength of light will excite both the quantum dots and the molecules from their ground states to their first excited states. what is the ratio of the photon energies required to further excite each system from the first excited state to the second excited state? equantum dot/emolecule = 1 equantum dot/emolecule = 6/5 equantum dot/emolecule = 5/3 equantum dot/emolecule = 15/2 the information given is not sufficient to answer this question. electron spin resonance (esr) is a technique much like nuclear magnetic resonance (nmr). except that it relies 011 using radio-frequency photons to flip the spin of an electron in a magnetic field. if the magnetic field applied to the electrons is increased from 0.010 tesla to 0.011 tesla, how much. deltaf, will the transition frequency change? deltaf = 7 mhz deltaf = 14 mhz deltaf = 28 mhz

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Chemistry, 17.10.2019 19:20, jdisalle2808

Suppose you take a trip to a distant you find that the periodic table there is derived from an arrangement of quantum numbers different from the one on earth. the rules in that universe are: 1. principal quantum number n = 1, 2, . . (as on earth); 2. angular momentum quantum number ℓ = 0, 1, 2,. . , n – 1 (as on earth); 3. magnetic quantum number mℓ = 0, 1, 2, . . , ℓ (only positive integers up to and including ℓ are allowed); 4. spin quantum number ms = –1, 0, 1 (that is, three allowed values of spin). (a) assuming that the pauli exclusion principle remains valid, what is the maximum number of electrons that can populate a given orbital? (b) write the electronic configuration of the element with atomic number 8 in the periodic table. (formatting: superscript numbers where appropriate but omit parentheses.) (c) what is the atomic number of the second noble gas?

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