Distance between copper atoms in cubic crystal lattice

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SUMMARY

The discussion centers on calculating the distance between copper atoms in a cubic crystal lattice, specifically addressing the atomic mass number of copper (A = 64). The user struggles to connect the atomic mass number to the volume of copper and the number of atoms within that volume. The professor advises using the atomic mass number to determine the mass of a given volume of copper, which can then be used to compute the number of atoms. The final answer for the distance between copper atoms is established as 0.228 nm.

PREREQUISITES
  • Understanding of atomic mass number and its significance in calculations
  • Familiarity with cubic crystal lattice structures
  • Basic knowledge of ideal gas laws and their applications
  • Ability to perform calculations involving volume and density
NEXT STEPS
  • Learn how to calculate mass from atomic mass number using density of copper
  • Study the concept of number density in solid-state physics
  • Explore the relationship between atomic structure and crystal lattice spacing
  • Review ideal gas law applications in solid materials
USEFUL FOR

Students studying solid-state physics, materials science, or chemistry, particularly those tackling problems related to atomic structures and crystal lattices.

Mugen112
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Homework Statement


The atomic mass number of copper is A = 64. Assume that atoms in solid copper form a cubic crystal lattice. To envision this, imagine that you place atoms at the centers of tiny sugar cubes, then stack the little sugar cubes to form a big cube. If you dissolve the sugar, the atoms left behind are in a cubic crystal lattice.


Homework Equations


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The Attempt at a Solution


This question is coming from the chapter dealing with Ideal-Gas laws. Also talks about moles and atomic mass numbers/atomic numbers, but I don't see how I can use the Ideal-gas laws (Boltzmann's constant) with a copper atom. I also don't see how knowing the atomic mass number even plays a roll in solving this problem... any help? I would honestly attempt the solution if I knew where to even start.
 
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wow.. I've never been so stressed over homework. I want to break something =( . Anyway.. I emailed my prof... his response " You can use the atomic mass number to determine the mass of any given volume of copper. Once you do that, you can compute the number of atoms in that volume and then go on just like the example in the book."

So how do I use the atomic mass number which is the number of protons and number of neutrons in an atom to find a mass of any given volume of copper? Then I'm supposed to use "THAT" volume and go on like the example in the book that the ideal-law formulas are used? Are you kidding me? This makes NO sense. :( Is there any where else online I can read into this? Our book does a poor job of this...
 
I don't want to bring up an old topic, but I can't figure this problem out either, I know the answer is .228 nm, and have been substituting all the basic equations for an hour and the best i can come up with is V = l^3 when the number density is 1.
 

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