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The following are sets of rotational quantum numbers
(a)
(c)
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Chapter 14 Solutions
Physical Chemistry
- What is the physical explanation of the difference between a particle having the 3-D rotational wavefunction 3,2 and an identical particle having the wavefunction 3,2?arrow_forwardChapter 3 introduced the concept of a double bond between carbon atoms, represented by C=C , with a length near 1.34 Å. The motion of an electron in such a bond can be treated crudely as motion in a one-dimensional box. Calculate the energy of an electron in each of its three lowest allowed states if it is confined to move in a one-dimensional box of length 1.34 Å. Calculate the wavelength of light necessary to excite the electron from its ground state to the first excited state.arrow_forward(a) Look very carefully at the pictures below: Picture 1 and Picture 2. What does each of the pictures represent? Give FULL EXPLANATIONS for your answer. (1) (2) (b) Look very carefully at the picture below. Give the relevant quantum numbers. Explain your answer. у-аxis (c) (i) What is a wavefunction? (ii) What are the two parts of a wavefunction? (iii) What is the importance of squaring a wavefunction? (iv) Where is a wavefunction obtained from?arrow_forward
- The vibrational frequency of the hydrogen chloride HCl diatomic molecule is 8.97 x 1013Hz. chloride atom is 35.5 times more massive than hydrogen atom. (mµ = 1.67 x 0-27kg,c = 3.0 x 10°m/s) a) What is the force constant of the molecular bond between the hydrogen and the chloride atoms? b) What is the energy of the emitted photon when this molecule makes a transition between adjacent vibrational energy levels? c) What is the wavelength of the emitted photon? d) The possible wavelengths of photons emitted with the HCl molecule decays from the 2nd excited state eventually to the ground state(0 state).arrow_forwardAn HCl molecule initially in the (v, J) = (0, 2) quantum state can absorb infrared photons. What are the two most likely final quantum states after absorbing an infrared photon? Calculate the energy of the infrared photonabsorbed for each of these transitions. Can it also absorb a microwave photon? If yes, calculate that photon energy also. The rotational constant of HCl is 10 cm-1 and its vibrational frequency is 2990 cm-1.arrow_forwardVanadium tetrachloride (VCl4 ) is a bright red colored liquid with a vapor pressure of 5x10-2 torr at 298K. What is the expected orbital angular momentum in the ground state of VCl4(g) ?arrow_forward
- 15. The far-infrared spectrum of HI consists of a series of equally spaced lines with Δν(bar) = 12.8 ^-1 cm. What are (a) the moment of inertia and (b) the internuclear distance?arrow_forwardThe electronic spectrum of the molecule butadiene, H2C=CH–CH=CH2, can be approximated using the one-dimensional particle-in-a-box if one assumes that the conjugated double bonds span the entire four-carbon chain. If the electron absorbing a photon having wavelength 217 nm is going from the level n =2 to the level n =3, what is the approximate length of the C4H6 molecule?arrow_forwardwhat is the absolute energy (wavenumbers) for hydrogn from n=6 to n=1arrow_forward
- A hydrogen atom rotates in three dimensions at a fixed distance of 100 pm from a fixed point. Ca lculate the energy of the level w ith rotational quantum number J = 1.arrow_forwardUse the Tanabe-Sugano diagram to indicate the electronic transitions for the configurations below, i.e. for example, 'A2 →³T2 is one transition for ³F. (a) d³ (b) dºarrow_forwardA tunable dye laser emits pulses of light at 642.0 nm, each having a total energy of 9E-6 J. Calculate the number of photons in each pulse.arrow_forward
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