Question 6-2, 6-5, 6-6, 6-11 part (b) only, 6-12, 6-13, 6-14 part (a) only, 6-15 part (b) only , 6-18, 6-19
(P) Stokes shift
Calculate the frequency in hertz, the energy in joules, and the energy in electron volts of an X-ray photon
with a wavelength of 5.47 Å.
Calculate the frequency in hertz, the wavelength in um, and the energy in joules associated with the
2843 cm- vibrational absorption band of an aliphatic ketone.
Calculate the wavelength and the energy in joules associated with an NMR signal at 250 MHz.
Calculate the velocity, frequency, and wavelength of the sodium D line (a 589 nm) as light from this
source passes through a species whose refractive index, np, is 1.12.
When the D line of sodium light impinges an air-diamond interface at an angle of incidence of 25.0°, the
angle of refraction is 10.1º. What is np for diamond?
What is the wavelength of a photon that has three times as much energy as that of a photon whose
wavelength is 820 nm?
The silver bromide bond energy is approximately 243 kJ/mol (AgBr is unusually sensitive to light and was
widely used in photography). What is the longest wavelength of light that is capable of breaking the bond in
Cesium is used extensively in photocells and in television cameras because it has the lowest ionization
energy of all the stable elements.
(a) What is the maximum kinetic energy of a photoelectron ejected from cesium by 520 nm light? Note
that if the wavelength of the light used to irradiate the cesium surface becomes longer than 650 nm, no
photoelectrons are emitted.
(b) Use the rest mass of the electron to calculate the velocity of the photoelectron in (a).
*6-10 The Wien displacement law for blackbody radiators states that the product of temperature in kelvin and the
wavelength of maximum emission is a constant k (k = T. I max). Calculate the wavelength of maximum
emission for a Globar infrared source operated at 1900 K. Use the data in Figure 6-22 for the Nernst glower
for the evaluation of the constant.
* 6-11 Calculate the wavelength of
(a) the sodium line at 589 nm in diamond, which has a refractive index of 2.419.
(b) the output of a ruby laser at 694.3 when it is passing through a piece of acrylic sheet (Plexiglas”), which
has a refractive index of 1.49.
*6-12 Calculate the reflection loss when a beam of radiant energy passes through an empty quartz cell assuming
the refractive index of quartz is 1.55.
6-13 Explain why the wave model for radiation cannot account for the photoelectric effect.
*6-14 Convert the following absorbance values into percent transmittances:
(a) 0.173 (b) 0.799 (c) 1.145 (d) 0.056
*6-15 Convert the following percent transmittances into absorbances:
(a) 22.7 (b) 91.2
*6-16 Calculate the percent transmittance of solutions with half the absorbance of those in Problem 6-14.
*6-17 Calculate the absorbance of solutions with half the percent transmittance of those in Problem 6-15.
* 6-18 A solution that was 3.59 X 10-3M in X had a transmittance of 0.196 when measured in a 2.00-cm cell.
What concentration of X would be required for the transmittance to be increased by a factor of 3 when a
1.00-cm cell was used?
*6-19 A compound had a molar absorptivity of 2.93 X 10′ L cm-‘mol-?. What concentration of the compound
would be required to produce a solution that has a transmittance of 10.16% in a 2.00-cm cell?
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