We present an inexpensive apparatus for bright field and fluorescence microscopy with video capture, suitable for introductory laboratory courses. Experiments on Brownian motion and the Boltzmann distribution of suspended particles in a gravitational field are described. The Boltzmann constant is measured in three ways, and the results fall within 15% of the accepted value.
REFERENCES
1.
J.
Perrin
, Brownian Movement and Molecular Reality
, translated by F. Soddy (Taylor & Francis
, London
, 1910
)2.
Dongdong
Jia
, Jonathan
Hamilton
, Lenu M.
Zaman
, and Anura
Goonewardene
, “The time, size, viscosity, and temperature dependence of the Brownian motion of polystyrene microspheres
,” Am. J. Phys.
75
, 111
–115
(2007
).3.
Ronald
Newburgh
, Joseph
Peidle
, and Wolfgang
Rueckner
, “Einstein, Perrin, and the reality of atoms: 1905 revisited
,” Am. J. Phys.
74
, 478
–481
(2006
).4.
Paul
Nakroshis
, Mathew
Amoroso
, Jason
Legere
, and Christian
Smith
, “Measuring Boltzmann’s constant using video microscopy of Brownian motion
,” Am. J. Phys.
71
, 568
–573
(2003
).5.
A.
Einstein
, Investigations on the Theory of the Brownian Movement
, translated by A. D. Cowper (Dover
, New York
, 1956
)A.
Einstein
[Ann. Phys.
322
, 549
–560
(1905
)].6.
F.
Reif
, Fundamentals of Statistical and Thermal Physics
(McGraw-Hill
, New York
, 1965
), pp. 201
–211
.7.
For instructions on how to remove the lens from an iSight camera, see <http://www.fas.harvard.edu/~scphys/isight/camera_mod.htm>.
8.
There are many inexpensive consumer-grade LED light sources such as the Sylvania “Dot-it Swivel” that can be used in place of a custom device with or without the microscope mirror.
9.
The density, viscosity, and index of refraction of glycerin/water mixtures at are tabulated in:
CRC Handbook of Chemistry and Physics
, 77th ed., edited by David R.
Lide
(CRC
, Boca Raton
, 1996
), pp. 8
–62
, 63
.The viscosity as a function of temperature is reported in:
P. N.
Shankar
and M.
Kumar
, “Experimental determination of the kinematic viscosity of glycerol-water mixtures
,” Proc. R. Soc. London, Ser. A
444
, 573
–81
(1994
).10.
John R.
Taylor
, An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements
, 2nd ed. (University Science Books
, Sausalito, CA
, 1997
), Appendix E.11.
See Ref. 9. Interpolation of temperature data in Table 1.
© 2009 American Association of Physics Teachers.
2009
American Association of Physics Teachers
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