Intro Spectroscopy
5th Edition
ISBN: 9781305221796
Author: PAVIA
Publisher: Cengage
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In solid KCI the smallest distance between the centers of a. potassium ion and a chloride ion is 314 pm. Calculate the length of the edge of the unit cell and the density of KCI, assuming it has the same structure as sodium chloride.
Mass of electron m₀ : 9.1 × 10⁻³¹kg Avogadro number N₂ : 6.02 × 10²³
Charge of electron ℯ : 1.6 × 10⁻¹⁹ C 1 ℯV = 1.6 × 10⁻¹⁹ J
Boltzman costant k₃ : 1.38 × 10⁻²³ J/K = 8.6 × 10⁻⁵ ℯV/K
R = 8.314 J/K·mol
Q. The equilibrium interatomic spacing and melting point of sodium halide are as follows. Explain the reasons for the observed trend.
NaF
NaCI
NaBr
NaI
interval(nm)
0.23
0.28
0.29
0.32
meltingpoint(℃)
988
801
740
660
Compute the magnitude of the electrostatic attraction energy between a silver cation (radius 129 pm) and a sulfide anion (radius 170 pm). Give your answer in al.
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- As an alternative to Equation 42.1, another useful model for the potential energy of a diatomic molecule is the Morse potential U(r)=B[ea(rr0)1]2 where B, a, and r0 are parameters used to adjust the shape of the potential and its depth. (a) What is the equilibrium separation of the nuclei? (b) What is the depth of the potential well, defined as the difference in energy between the potentials minimum value and its asymptote as r approaches infinity? (c) If is the reduced mass of the system of two nuclei and assuming the potential is nearly parabolic about the well minimum, what is the vibrational frequency of the diatomic molecule in its ground state? (d) What amount of energy needs to be supplied to the ground-state molecule to separate the two nuclei to infinity?arrow_forward(a) In an HCl molecule, take the Cl atom to be the isotope 35Cl. The equilibrium separation of the H and Cl atoms is 0.127 46 nm. The atomic mass of the H atom is 1.007 825 u and that of the 35Cl atom is 34.968 853 u. Calculate the longest wavelength in the rotational spectrum of this molecule. (b) What If? Repeat the calculation in part (a), but take the Cl atom to be the isotope 37Cl, which has atomic mass 36.965 903 u. The equilibrium separation distance is the same as in part (a). (c) Naturally occurring chlorine contains approximately three parts of 35Cl to one part of 37Cl. Because of the two different Cl masses, each line in the microwave rotational spectrum of HCl is split into a doublet as shown in Figure P42.11. Calculate the separation in wavelength between the doublet lines for the longest wavelength.arrow_forwardCompute the magnitude of the electrostatic attraction energy between a silver cation (radius 129 pm) and a sulfide anion (radius 170 pm). Give your answer in al. Note that magnitude means "absolute value" i.e. answer without arithmetic +/- sign.arrow_forward
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