What is the orbital angular momentum (as multiples of hbar)of an electron in the orbitals (a) 4d (b) 2p (c) 3p? Provide the numbers of angular and radial nodes in each case.
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What is the orbital
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- Give the n and l values for the following orbitals: (a) 3s (b) 2p (c) 4dWhat is the orbital angular momentum (as multiples of h) of an electron in the orbitals (a) 1s. (b) 3s. (c) 3d. (d) 2p. (e) 3p? Give the numbers of angular and radial nodes in each case.5. Draw orbital diagrams for the ground states of: (a) Terbium, Tb, a lanthanide element. (b) The manganese(II) ion, Mn2+. (c) The sulphide ion, S2–. (d) Silver, Ag.
- Particles called muons exist in cosmic rays and can be created in particle accelerators. Muons are very similar to electrons, having the same charge and spin, but they have a mass 207 times greater. When muons arecaptured by an atom, they orbit just like an electron but with a smaller radius, since the mass in aB =0.529x 10-10 m is 207 me .(a) Calculate the radius of the n=1 orbit for a muon in a uranium ion( Z=92).(b) Compare this with the 7.5-fm radius of a uranium nucleus. Note that since the muon orbits inside the electron, it falls into a hydrogen-like orbit. Since your answer is less than the radius of the nucleus, you can seethat the photons emitted as the muon falls into its lowest orbit can give information about the nucleus.Locate the radial nodes in (a) the 3s orbital. (b) the 4s orbital of an H atom.(a) How does the Bohr model differ from the quantum mechanical model of the atom? Describe at least 2 differences.(b) Define each of the 4 quantum numbers (n, l, ml, ms) and what they physically represent about the orbital and/or electron.(d) How many quantum numbers are needed to completely define a specific orbital? Provide the quantum numbers for the 2s orbital.(d) How many quantum numbers are needed to completely define a specific electron? Provide the quantum numbers for the second electron to fill into a 2s orbital.
- Identify the subshell in which electrons with the following quantum numbers are found: (a) n = 3, l = 1; (b) n = 5, l = 3; (c) n = 2, l = 0.Which of the following statements about quantum numbers is/are true? (i) The angular momentum quantum number, I, dictates the direction in which an orbital points. (ii) The two electrons in any one atomic orbital must have different values of their electron spin quantum number, m,. (iii) 2p atomic orbitals have angular momentum quantum number I = 1 and 3p atomic orbitals have angular momentum quantum number I = 2. none of the statements are true only (i) and (iii) are true only (iii) is true only (ii) and (iii) are true only (ii) is true(a) (i) Draw a pz orbital and a d-y orbital. (ii) What are the differences between a 5pz orbital and a 4d2-orbital in the H atom?
- Classify the following statementsas either true or false: (a) In a contourrepresentation of an orbital,such as the one shown here fora 2p orbital, the electron is confinedto move about the nucleuson the outer surface of the shape.(b) The probability density [ψ(r)]2gives the probability of findingthe electron at a specific distancefrom the nucleus.Identify the subshell in which electrons with the following quantum numbers are found:(a) n = 2, l = 1(b) n = 4, l = 2(c) n = 6, l = 0A cyclotron used to accelerate alpha-particles (m = 6.64×10−27kg, q = 3.2×10−19 C has a radius of 0.50 m and a magnetic field of 1.8 T. (a) What is the period of revolution of the alpha-particles? (b) What is their maximum kinetic energy?