What is the Correct De Broglie Wavelength for a C60 Molecule?

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SUMMARY

The discussion focuses on calculating the De Broglie wavelength for a C60 molecule, given its average velocity of 200 m/s. The formula used is λ = h / p, where p = mv. The mass of the C60 molecule was incorrectly calculated as 12 x 60 amu, leading to an erroneous wavelength of 4.604 x 10^-36 m. The correct mass conversion from atomic mass units (amu) to kilograms is crucial for accurate results.

PREREQUISITES
  • Understanding of De Broglie wavelength calculations
  • Familiarity with the concept of momentum (p = mv)
  • Knowledge of mass conversion from atomic mass units (amu) to kilograms
  • Basic principles of quantum mechanics and wave-particle duality
NEXT STEPS
  • Learn about the conversion of atomic mass units to kilograms
  • Study the principles of wave-particle duality in quantum mechanics
  • Explore advanced calculations involving De Broglie wavelengths for larger molecules
  • Investigate experimental setups for observing interference patterns in quantum systems
USEFUL FOR

Students in physics, particularly those studying quantum mechanics, and researchers interested in molecular interference experiments will benefit from this discussion.

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Homework Statement



In one of the classes, a recent experiment showing the interference of C60 molecules using a double slit apparatus was discussed.

(a) If the average velocity of the C60 molecules is v= 200 m/s, calculate the De Broglie wavelength for a C60 molecule

Homework Equations



lamda = h / p

where p = mv

The Attempt at a Solution



so m = 12 x 60 / 1000 to convert into kilograms.

p = m x v = 144

lamda = 6.63 x 10^-34 J.s / 144 kg m/s= 4.604 x 10^-36 m

Now that does not seem right because you can hardly see a wavelength that small. Is something wrong with what I have done.

Thanks.
 
Physics news on Phys.org
Calculation of mass of C60 is wrong.
It is 12X60 amu.
1 amu = ...kg ?
 

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