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What is the thickness, in atoms, of a sheet of paper?
5 Answers
Alankar Paul, studied at National Institute of Technology Karnataka, Surathkal
Originally Answered: what is the thickness (in atoms) of a sheet of paper?
It would depend on which allotropic form of Carbon, the amorphous form, the Graphite form or the Diamond form. The answers will be very different not only in each case but also in the orientation of the lattice in each of those forms.
You can use a Screw Gauge to calculate the thickness of paper.
You can use a Screw Gauge to calculate the thickness of paper.
Related QuestionsMore Answers Below
Michael Walker, Scientist in training
Originally Answered: what is the thickness (in atoms) of a sheet of paper?
A typical thickness of a piece of paper is 0.1mm. That means one ten thousandth of a meter, or 10^-4 meters thick. (1)
Next, take the average carbon-carbon bond length. We find it to be 154 picometers, that is, 154 x 10^-12 meters long. (2)
Now, take the thickness and divide by the average bond length, we get
10^-4 / 154 x 10^-12 = 649,350.6 bonds.
Since atoms don't have thickness, it is typical in language to interchange the total amount of bonds with thickness in atoms.
So to answer, the paper is about 650,000 atoms thick!
(1) Thickness of a Piece of Paper
(2) Bond Lengths and Energies
Next, take the average carbon-carbon bond length. We find it to be 154 picometers, that is, 154 x 10^-12 meters long. (2)
Now, take the thickness and divide by the average bond length, we get
10^-4 / 154 x 10^-12 = 649,350.6 bonds.
Since atoms don't have thickness, it is typical in language to interchange the total amount of bonds with thickness in atoms.
So to answer, the paper is about 650,000 atoms thick!
(1) Thickness of a Piece of Paper
(2) Bond Lengths and Energies
Scot Macdonald, Jr. High from rINCOLN vALLEY sCHOOLS (1996)
6trillion
John Taylor, looks at things from a weird angle
Originally Answered: what is the thickness (in atoms) of a sheet of paper?
An answer given to How many atoms does a book use to store one bit of information? determined the atomic weight of Cellulose (C6H10O5)
Molecules in A4 sheet: 5/162.14*6.0221E23 = 1.85E22
Density of cellulose is 1.5 g/cm^3.
Volume of an A4 sheet is 5/1.5 = 3.3 cm^3.
Surface of an A4 sheet is 623.7 cm^2 ( All informations about A4 sheet of paper ).
Thickness of an A4 sheet is 3.3/623.7 = 5.3E-3 cm.
Thickness in molecules: (1.85E22/3.3)^(1/3)*5.3E-3 = 94.151 molecules.
Thickness in atoms: (1.85E22*21/3.3)^(1/3)*5.3E-3 = 259.758 atoms.
- Carbon Standard Atomic Weight: 12.0107
- Hydrogen Standard Atomic Weight: 1.00794
- Oxygen Standard Atomic Weight: 15.9994
- Atomic Weight of Cellulose = 12.0107*6 + 1.00794*10 + 15.9994*5 = 162.1406
Molecules in A4 sheet: 5/162.14*6.0221E23 = 1.85E22
Density of cellulose is 1.5 g/cm^3.
Volume of an A4 sheet is 5/1.5 = 3.3 cm^3.
Surface of an A4 sheet is 623.7 cm^2 ( All informations about A4 sheet of paper ).
Thickness of an A4 sheet is 3.3/623.7 = 5.3E-3 cm.
Thickness in molecules: (1.85E22/3.3)^(1/3)*5.3E-3 = 94.151 molecules.
Thickness in atoms: (1.85E22*21/3.3)^(1/3)*5.3E-3 = 259.758 atoms.
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David Shockey, Technology dragoman and mystagogue. Prone to equanimity and facetiae in discourse. Diagnosed with lethonomi...
Originally Answered: what is the thickness (in atoms) of a sheet of paper?
By my estimation, a sheet of copy paper is about 0.0098 cm thick. A carbon atom is about 2.2X10^-8 cm thick.* Therefore, a sheet of paper is 445,455 atoms thick.
*Source: Georgia State University Physics Department.
*Source: Georgia State University Physics Department.