Atomic dimension calculations using STM images
To work this assignment you will need to view the linked STM images. See the early pages of Ch 2 in the text for a description of the technique.
(For higher resolution STM images visit IBM's STM Image Gallery)
Where calculations are required, clear setup and unit conversions must be shown to receive full credit.
1."CO Man"
Confirm that there are 28 individual molecules
in the figure. Count the molecules ("bumps") and convince
yourself that each bump in the picture represents not an individual atom, but
an individual CO molecule.
(a) Use the dimensions for one CO molecule to show by calculations that "CO Man" is as tall as is indicated on the figure. The height given in the picture was supplied by the IBM scientists. Do not use this height in your calculations. It is only given as a way for you to double-check your answer. Make a sound judgment on approximately how many CO molecules tall the figure is, use the dimension of a CO molecule supplied in the linked figure above, and calculate the object’s height, seeing how close you come to the value indicated on the figure.
(b) Suppose the same figure was made using I2 molecules instead of CO molecules. Iodine molecules are much larger than CO, with a distance of 266 pm between iodine nuclei in the molecule. Determine the height in centimeters of an "I2 Man" figure made using iodine molecules.
2. Kanji characters
(a) How many total iron atoms are in the upper
Kanji character?
(b) What is the atomic level width of the lower
Kanji character in centimeters?