Calculate the angular momentum of the 1H19F molecule for m = 3
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- 5 For each of the following transitions, indicate if the transition is allowed. If not allowed briefly explain why. (a) 5f Fr→ 3d ³Dsz (b) 1s 2s 2p 2Ds2→ 1s² 2s²2p³ S32 (c) 1s² 2s 2p ³p,→ 1s² 2s²2p¹ ³P₂ It is believed that the inter-nucleon force is repulsive at short range and is mediated by p and a mesons. If their range is about 0.5 fm then estimate the mass energy in MeV of these particles, stating your method. Estimate the mass density for the central part of a nucleus of 174Hf. State any approximations or assumptions. {How many electrons can occupy the system with l=0, l=2 and l=4. What is number of possibleorientations of the orbital angular momentum with l=4? What is the smallest z-component of theorbital angular momentum?An electron occupying the n = 6 shell of an atom carries z-component orbital angular momentum = (–2) × h/2π. Given that the electron’s total orbital angular momentum is x × h/2π, what is the minimum possible value of number x(remember to use the scientific notation)?
- If we neglect interaction between electrons, the ground state energy of the helium atom is E =2 z2((- e2)/(2ao)) = -108.848eV (Z=2). The true (measured) value is – 79.006eV.Calculate the interaction energy e2/r12 supposing that both electrons are in the 1s state and r12 that the spin wave function is anti-symmetric. What E is the ground state energy?5.47 Germanium is doped with 5 × 10¹5 donor atoms per cm³ at T = 300 K. The dimen- sions of the Hall device are d = 5 x 10-³ cm, W = 2 × 10-² cm, and L = 10-¹ cm. The current is I = 250 μA, the applied voltage is V. = 100 mV, and the magnetic flux density is B₂ = 500 gauss = 5 x 10-2 tesla. Calculate: (a) the Hall voltage, (b) the Hall field, and (c) the carrier mobility.Answer the following. (a) Write out the electronic configuration of the ground state for nitrogen (Z = 7). 1s22s22p11s22s22p2 1s22s22p31s22s22p41s22s22p51s22s22p6 (b) Write out the values for the set of quantum numbers n, ℓ, m, and ms for each of the electrons in nitrogen. (In cases where there are more than one value, enter the positive value first. Enter positive values without a '+' sign in front of them. Include all possible values.) 1s states n = ℓ = m = ms = ms = 2s states n = ℓ = m = ms = ms = 2p states n = ℓ = m = ms = ms = m = ms = ms = m = ms = ms =
- For A =7.2i^+9j^-5k^and B=6i^-8.3j^−7k^ then what is the z component of A×B?The electron in a certain hydrogen atom has an angular momentum of 2.583×10−34 J.s. What is the largest possible magnitude for the z-component of the angular momentum of this electron? For accuracy, use h=6.626×10−34 J⋅s. find Number UnitsConsider a two-electron spin system in a singlet state. a. If a measurement of one of the electrons shows that it is in a state with sz = 1/2, what is the probability of obtaining another state with sz= +1/2? b. If a measurement of one of the electrons shows that it is in a state with sx = 1/2, what is the probability of obtaining another state with sy = +1/2?