(a) Write out the electronic configuration of the ground state for nitrogen (Z = 7). (b) Write out the values for the possible set of quantum numbers n ,ℓ, mℓ,, and ms for the electrons in nitrogen.
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(a) Write out the electronic configuration of the ground state for nitrogen (Z = 7). (b) Write out the values for the possible set of quantum numbers n ,ℓ, mℓ,, and ms for the electrons in nitrogen.
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- 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 =(a) Make a chart showing all possible sets of quantum numbers l and ml for the states of the electron in the hydrogen atom when n = 4. How many combinations are there? (b) What are the energies of these states?You are working on determining the angle that separates two hybridized orbitals. In the process of determining the coefficients in front of the various atomic orbitals, you align the first one along the z-axis and the second in the x/z-plane (so o = 0). The second hybridized orbital was determined to be: W2 = R1s + R2p, sin 0 + R2p, cos 0 Determine the angle, 0, in degrees to one decimal place (XX.X) that separates these two orbitals. Assume that the angle will be between 0 and 90 degrees.
- Answer the following. (a) Write out the electronic configuration of the ground state for oxygen (Z = 8). 1s22s22p11s22s22p2 1s22s22p31s22s22p41s22s22p51s22s22p6 (b) Write out the values for the set of quantum numbers n, ℓ, m, and ms for each of the electrons in oxygen. (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 =In atomic physics a term means Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a All electronic configurations of an atom with the same values of {n, 1} (list of shell and subshells occupied) b с d e All configurations with the same {n, 1} and total orbital angular momentum quantum number L All configurations with the same {n, l}, the same L and the same total spin quantum number S All configurations with the same {n, l}, the same L, S and the same total angular momentum quantum number J All configurations with the same {n, l}, and the same L, S, Jand the same total angular momentum along an axis with quantum number MJFor what value of the principal quantum number n would the effective radius, as shown in a probability density dot plot for the hydrogen atom, be 1.0 mm? Assume that l has its maximum value of n - 1.
- Consider the seventh excited level of the hydrogen atom. (a) What is the energy of this level? (b) What is the largest magnitude of the orbital angular momentum? (c) What is the largest angle between the orbital angular momentum and the z-axis?In a one-dimensional system, the density of states is given by N(E)= 2m, where L is the length of the sample L√2m in the and m is the mass of the electron, as seen in class. There are N quantum particles with spin |S| = sample (the quantum particles can be understood as 'special electrons with spin [S] ='), so that each state can be occupied by 2|S| + 1 particles. Determine the Fermi energy at 0 K.Problem. (a) A hydrogenic atom's energy levels are E, =-13.6 eV Z2/n2, Use the orbital approximation to estimate the energy of a lithium atom in its ground-state configuration. (b) What is the jonization energy of Li2+ (or the third ionization energy of Li)?
- The energy levels of the Bohr model for the atom can be expressed mathematically as En -13.6 eV, where Z is the atomic number, and n is the quantum number. This model is reasonably accurate for hydrogen and for singly ionized helium. The photon associated with the transition of an electron from the ground state to the first excited state in singly ionized helium has a different wavelength than that associated with a similar transition in hydrogen. Which of the following correctly describes the wavelengths of these two photons in terms of the energy level diagrams for hydrogen and helium? The photon absorbed by hydrogen has a longer wavelength than that absorbed by helium, because the energy levels in the diagram for hydrogen are more closely spaced than in the diagram for helium. B The photon absorbed by hydrogen has a shorter wavelength than that absorbed by helium, because the energy levels in the diagram for hydrogen are more closely spaced than in the diagram for helium. The photon…Answer the following. (a) Write out the electronic configuration of the ground state for boron(Z = 5). 1s25 2p1 O 13252p2 O 1:252p3 O 15232p4 O 132,2,5 O 13232,6 (b) Write out the values for the set of quantum numbers n, l, m, and m. for each of the electrons in boron. (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.) m.= 1s states n = 1 e = 0 m, = 0 m. = X Your answer must be a fraction, integer, or exact decimal. m = 25 states n = 2 l = 0 m,- 0 X Your answer must be a fraction, integer, or exact decimal. m, = = |-1 m. = |x Your answer must be a fraction, integer, or exact decimal. ms = 2p states n = 2 v m, - 0 X Your answer must be a fraction, integer, or exact decimal. m. = = +1 X Your answer must be a fraction, integer, or exact decimal.Calculate the magnitude of the maximum orbital angular momentum Lmax for an electron in a hydrogen atom for states with a principal quantum number of 156. Express your answer in units of ℏ to three significant figures.