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The second ionization of carbon
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Inorganic Chemistry
- What is the threshold frequency ν0ν0nu_0 of cesium? Note that 1 eV (electron volt)=1.60×10−19 J.arrow_forwardWhat is the value of voin s-¹? VO = VE ΑΣΦ E| ΑΣΦ ? What is the value of the work function of the metal in units of kJ/mol of ejected electrons? ? 8-1 kJ/molarrow_forward2.9 Vibrations in crystals. (a) Calculate the average vibrational energy per mole for Si at 400 K to within the limits of the Einstein theory. Let VẸ = 12 x 1012 s-1, (b) If each atom carried three quanta of vibrational energy, how much vibrational energy would the crystal contain?arrow_forward
- 5. (a) Use the hydrogen-like model z2 (in eV) En --13.6 to calculate the total energy of the three electrons of lithium (Li), which has the electron configuration: 1s? 2s'. The three ionization energies for Li(g) are: IE, = 5.392 ev; IE2 = 75.64 eV; IE = 122.5 ev. With the help of Koopman's theorem, what is the total energy of ropulsion between lithium's three electrons (in kJ mol')?arrow_forwardIt is known that the possible values for the magnetic quantum number mι are -5, -4, -3, -2, -1, 0, +1, +2, +3, +4 and +5. What is (a) the orbital quantum number ι and (b) the smallest possible value of the principal quantum number n?arrow_forwardConsider four non-interacting 'He atoms, each of which can occupy three energy levels of energies 0, a and 2a. The number of microstates having total energy E = 3a isarrow_forward
- 12 J (er? nu? nu? ng2 ng (2p)] configuration is for 02 A O +o, 2 coarrow_forwardThe electronic structure of one-dimensional chain of sodium (Na) atoms can be approximately described by the particle-in-a-box model. The energy of each state can be calculated using n?h? En 8mlz п 3 1,2, 3, ... where L is the length of the 1D chain. Assuming L = ao(N – 1), where N is the number of Na atoms and ao = 0.360 nm is the internuclear distance. a) Determine the energy gap between the highest occupied energy level and the lowest unoccupied energy level as a function of N. Assume that N is an even number that is large enough b) Thermal energy at room temperature is 4.15 × 10-21 J. Calculate the minimum number of Na atoms required so that the energy gap is smaller than the thermal energy.arrow_forwardConsider an element that reaches its first excited state by absorption of 626.7 nm light. Determine the energy difference in kilojoules per mole between the ground state and the first excited state. ΔΕ = If the degeneracies of the two states for the element are g'/go= 2, determine N°/No at 2010 K. N° No By what percentage does N°/No change if the temperature is raised by 20 K? percentage: What is N°/No at 5370 K? N* No kJ/molarrow_forward
- Part B The electronic structure of one-dimensional chain of sodium (Na) atoms can be approximately described by the particle-in-a-box model. The energy of each state can be calculated using En=(n^2h^2)/8mL^2, ? = 1, 2, 3, … where L is the length of the 1D chain. Assuming L = a0(N – 1), where N is the number of Na atoms and a0 = 0.360 nm is the internuclear distance. a) Determine the energy gap between the highest occupied energy level and the lowest unoccupied energy level as a function of N. Assume that N is an even number that is large enough (Hint: assume that each Na only contributes 1 electron to the problem and consider the information in Question 1c above.). b) Thermal energy at room temperature is 4.15 × 10–21 J. Calculate the minimum number of Na atoms required so that the energy gap is smaller than the thermal energy.arrow_forwardCalculate the most probable radius, rmp, at which an electron will be found when it occupies a 1s orbital of a hydrogenic atom of atomic number Z, and tabulate the values for the oneelectron species from H to Ne9+ .arrow_forward1) What is the relationship between binding energy and ionization energy? Calculate the first and second excitation energy as well as the ionization energy of hydrogen atom? 2) Explain and drawing the elliptical and circular orbits according to the Sommerfeld's theory for n = 4, 5 ?arrow_forward
- Chemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage LearningPrinciples of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage Learning