The 3s rightarrow 3p transition in sodium is observed at 5893 A a. Calculate the

Question

The 3s rightarrow 3p transition in sodium is observed at 5893 A a. Calculate the wavelength of this transition in m. b. Calculate the frequency of the absorbed photons in Hz. c. Calculate the energy of the absorbed photons in eV. The wavelength maximum for the transition metal complex [Fe (phen)_3]^2+ is 510 nm. If the molar absorptivity coefficient at this wavelength is 1.89 times 10^4 M^- cm^-1, calculate the concentration of the complex in solution (in mu M) if it produced an absorbance of 0.03 in a 1.0 cm cell. The fluorescence spectrum of a molecule exhibits an emission spectrum centered at 490 nm (S_1 rightarrow S_0) and an absorption spectrum centered at 395 nm. a. Calculate the energy difference between the S_1 and S_0 states associated with emission (in J). b. For a sense of scale, bond energies arc typically on the order of tens to hundreds of kJ/mole. Calculate the energy difference between the S_1 and S_0 states associated with emission (in kJ/mol). c. Calculate the thermal energy (the difference in energy of absorbed and emitted photons) imparted to the molecule as a result of the absorption to emission process (in J).

Explanation / Answer

7)

a)

1 A = 1.0*10^-10 m

SO,

wavelength = 5893 m

= 5893 * 1.0*10^-10 m

= 5.893*10^-7 m

b)

f = c/wavelength

= (3.0*10^8 m/s) / (5.893*10^-7 m)

=5.091*10^14 Hz

c)

E = h*f

= (6.626*10^-34) * (5.091*10^14)

= 3.373*10^-19 J

= (3.373*10^-19)/(1.602*10^-19) eV

= 2.108 eV

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