What is the probability that an electron in the 1s state of a hydrogen atom will be found at a distance less than a/4 from the nucleus? Express your answer using three significant figures. ΜΕ ΑΣΦ P = ?
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- Don't Use Chat GPT Will Upvote And Give Handwritten Solution With FiguresGiven the following two planes A and B. Answer the following questions: x A The miller indices of plane A is The miller indices of plane B is (110) (010) (001) (100) (123) (021) (-12-3) y (023) t 1/3 Z B 112 →→yk (M-2 s-1) 4 pc In the H atom, what is the correct order (arrangement) of energy levels * 3s = 3p -3d 3s>3p>3d 3s<3p<3d O 3s<3p<4s<3d
- Plz do not copy from chegg and other sources this is wrong everywhere Plz do all the three subparts correctly4. Consider a binary alloy of A atoms and B atoms that can exist in a solid phase or a liquid phase. This alloy can also exist in TWO DIFFERENT PHASES SIMULTANEOUSLY: solid and liquid. The system is composed of one mole of atoms, some of which are A atoms and some of which are B atoms. Take GA and GB as the molar Gibbs free energy of pure A and pure B respectively. XA and XB are the molar fractions of A and B atoms respectively. The atoms crystallize in identical crystal structures when they are solid. (a) The starting conditions are such that a partition sits between the A atoms and B atoms so they do NOT mix. (i) Write an expression for the molar Gibbs free energy for the combination of pure components. (ii) Draw schematically how the molar Gibbs free energy of the combination of pure components varies with alloy composition.In class we showed that for a Lennard-Jones 6/12 interatomic potential one would predict theideal strength of a material to be −2.69U 0 a03 , where U 0 is the bond energy and a0 is theequilibrium bond spacing. Based on the same assumptions, show that Young’s Modulus, E, isgiven by −72U 0 a03 . Assuming U 0 = −1 eV and a0 = 2 Å , provide an order of magnitudeestimate of E in GPa. (While both the predicted ideal strength and value of Young’s modulus area bit on the high side when using the Lennard-Jones 6/12 potential, their ratio (72/2.69 ≈ 27), isrepresentative of that for many materials. In other words, Young’s modulus can be expected tobe ~30 times the value of a material’s ideal strength, which is typically 10-100 times its actualyield strength, making values of Young’s modulus typically ~1,000 times the yield strength.
- 4. Fermi-Dirac statistics Develop an Excel sheet to numerically calculate the numbers of electrons with energies above the Fermi energy level EF = 5.5 eV in silver at 300 K and 1000 K, assuming EF does not change with temperature. m mm mThe net potential energy EN between two adjacent ions is sometimes represented by the expression C ; - - - + Dexp(-6) (2.18) r EN in which r is the interionic separation and C, D, and p are constants whose values depend on the specific material. (a) Derive an expression for the bonding energy Eo in terms of the equilibrium interionic separation ro and the constants D and p using the following procedure: 1. Differentiate EN with respect to r and set the resulting expression equal to zero. 2. Solve for C in terms of D, p, and ro.The P-branch of the 2Π ← 2Σ+ transition of CdH shows a band head at J=25. The rotational constant of the ground state is 5.437 cm-1. What is the rotational constant of the upper state? Has the bond length increased or decreased in the transition?
- Which of the following are true regarding crystalline and non-crystalline materials at the atomic scale? Select one or more: a. Crystalline materials show no long-range order b. There are an infinite number of crystal systems and lattices possible C. Density of packing is higher for crystalline materials d. Bond energy is lower for noncrystalline materials Materials which are not crystalline are referred to as amorphous Bond length is shorter for crystalline versus noncrystalline materials e.The plot below shows bonding energy vs. interatomic separation for two elements. АВ a A. Which element would you expect to have a lower melting point? A B same can't tell provide a brief justification of your choice. B. Which element would you expect to have a smaller lattice constant? A В same can't tell provide a brief justification of your choice. C. Which element would you expect to have a larger elastic modulus? A justification of your choice. В same can't tell provide a brief can't tell provide a brief D. Which element would you expect to have the highest yield stress? justification of your choice. A В same Bonding energyDon't Use Chat GPT Will Upvote And Give Handwritten Solution