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_forwardConsider the three electronic transitions in a hydrogen atomshown here, labeled A, B, and C.(a) Three electromagnetic waves, all drawn on the samescale, are also shown. Each corresponds to one of thetransitions. Which electromagnetic wave (i), (ii), or (iii),is associated with electronic transition C?arrow_forward
- Vanadium 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_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_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_forwardIf two wavefunctions, Wa and Wb, are orthonormal and degenerate, then what is true about the linear combinations 1 1 w. +v.) a a and (a) y+ and y- are orthonormal. (b) y+ and y- are no longer eigenfunctions of the Schrödinger equation. (c) V+ and y- have the same energy. (d) V+ and Y- have the same probability density distribution.arrow_forward
- Use 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_forwardConsider an excited state configuration for He, 1s¹ 2p¹. (a) Find all the possible term symbols for this configuration. (b) Use Hund's rules to determine which of the term symbols obtained in (a) is the lowest energy state.arrow_forwardThe list below contains rotational energy information, select the one corresponding to the highest amount of energy. Choose one answer (1). ν = 10,000 MHz (2). B =10 cm-1 (3). B = 1 x 10-23 J (4). λ = 0.01 marrow_forward
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