Procedure modifeid by A. Jacobs and G. Lisensky from that of P. S. Hale, L. M. Maddox, J. G. Shapter, N. H. Voelcker, M. J. Ford, and E. R. Waclawik, "Growth Kinetics and Modeling of ZnO Nanoparticles," J. Chem. Educ. (2005) 82, 775-778.
Zinc oxide quantum dot nanoparticles absorb UV light but are optically transparent making them useful as the active ingredient of sunscreens. The absorption wavelength is a function of particle size when the particles are small. This synthesis involves particle growth at 65°C; samples removed at longer times give larger particles. The cut-off wavelength from the absorption spectra can be used to estimate the particle size.
Clicking a thumbnail on this web page (http://mrsec.wisc.edu/Edetc/nanolab/ZnO/index.html) shows a movie of that step.
| Procedure | Wear eye protection |
Chemical gloves recommended |
Fumehood recommended |
The x-intercept of the linear portion of the absorbance as a function of wavelength graph is a measure of Eg.
Eg = h c / λ
h = 6.626x10-34 J s
c = 2.998x108 m/s
e = 1.602x10-19 C
ε0 = 8.854x10-12 C2/N/m2
m0 = 9.110x10-31 kg
CdS
λbulk = 512 nm
ε = 5.7
me* = 0.19
mh* = 0.80
CdSe
λbulk = 709 nm
ε = 10.6
me* = 0.13
mh* = 0.45
ZnO
λbulk = 365 nm
ε = 8.66
me* = 0.24
mh* = 0.59
The effective mass model suggests

where r is the radius of the nanoparticle. The second term is the particle-in-a-box confinement energy for an electron-hole pair in a spherical quantum dot
and the third term is the Coulomb attraction between an electron and hole modified by the screening of charges by the crystal.
After multiplying by r2, rearranging, and using the quadratic formula,

Conclusions
Equipment