The acidic hydrogen in benzoic acid is IR active at 3573 cm 1. Assuming this hydrogen behaves as a quantum harmonic oscillator, calculate the following (your final answer must be a numerical value). Hints: use the mass of a single hydrogen atom in kilograms and use the frequency, v, in s. 1. ao 2. a 3. az 4. as 5. Normalization constant for wo(x). 6. Normalization constant for w₁(x). 7. Normalization constant for w₂(x). 8. Normalization constant for ws(x).

The acidic hydrogen in benzoic acid is IR active at 3573 cm 1. Assuming this hydrogen behaves as a quantum harmonic oscillator, calculate the following (your final answer must be a numerical value). Hints: use the mass of a single hydrogen atom in kilograms and use the frequency, v, in s. 1. ao 2. a 3. az 4. as 5. Normalization constant for wo(x). 6. Normalization constant for w₁(x). 7. Normalization constant for w₂(x). 8. Normalization constant for ws(x).

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Similar questions

1. The angular portions of the wave functions for the px and dxz orbitals of the hydrogen atom are linear combinations of the spherical harmonics and are given by the expressions below. 3 YP. = √(x²+x¹) = -sin coso 4T Wd₂ = 1/2 (Y/² + X/₂ ¹) = eigenfunctions of 15 4π These combinations are chosen to yield real functions. Are these functions a Ĺ sincoscoso -iħ. do ?
What are the possible term symbols for the 1s 2s configuration of helium? o 's only 15 and 3p O 2s only O 1S and 3S
O Imagine an alternate universe where the value of the Planck constant is 6.62607 × 10-² -2 J.S. rosoft C ck In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics? W Microsoft rol Microsoft 6.52.210... OSC A bacterium with a mass of 3.0 pg, 5.0 um long, moving at 4.00 μm/s. A paper airplane with a mass of 5.9 g, 250. mm long, moving at 3.5 m/s. An alpha particle with a mass of 6.6 x 10-27 kg, 8.0 x 10 15 m wide, moving at 15. km/s. A raindrop with a mass of 7.0 mg, 7.4 mm wide, moving at 6.1 m/s. Explanation Q A object 2 option Z 2 Check 8,975 W S X #3 86 command E D DEC 10 $ t с quantum or classical? R L classical quantum classical quantum classical quantum classical quantum X 07 do % 5 V T S tv < 60 G Y B & 7 H Ⓒ2022 McGraw Hill LLC. All Rights Reserved. 90 7 N * 00 8 J 1 M K Terms of Use |…
1.Calculate the kinetic energy of an electron ejected from the surface of a sample of Yttrium when the metal is subjected to photons having a wavelength of 375 nm.Show your answer in 3 sig figs.
Taking into account the Pauli exclusion principle and Hund's rule, identify what is wrongin each of the electronic distributions. Then write in your notebook the correct form ofthese distributions.
19. List the quantum numbers of all states in the 4d subshell of hydrogen in the (n, l, me, ms) basis and in the (n, l, j, mj) basis.
a. Normalize the wavefunction Ψ(x) = 1 in a space of 0 ≤ x ≤ ℓ b. Find the probability of finding the particle in the subspace [0,ℓ/2 ] c. Find the most-likely position of the particle in entire space d. Find the most-likely position of the particle in the subspace [0,ℓ/3 ]
please answer #9
Imagine an alternate universe where the value of the Planck constant is 6.62607 J.s. In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics? oft C W 3 srosof Microsoft 6.52.210. esc An iceberg with a mass of 1.6 x 108 kg, 140. m wide, moving at 1.26 km/h. An eyelash mite with a mass of 16.0 µg, 355 µm wide, moving at 32. µm/s. An alpha particle with a mass of 6.6 x 10-27 kg, 8.0 x 10° 15 m wide, moving at 13. km/s. A grain of sand with a mass of 195 mg, 725. µm wide, moving at 9.00 mm/s. Explanation 1 Q A T object option N 12 2 Check 8,976 W S X H command # 3 Ơ E D 17 $ 4 DEC 11 C R quantum or classical? F classical quantum classical quantum classical quantum classical quantum X 67 dº % 5 V T 3 G tv MacBook Pro
Please do it...
Can you please help me with part C and D?
Show that at long wavelengths, Planck’s radiation law (as shown) reduces to the Rayleigh–Jeans law (as shown).