- #1
nhrock3
- 403
- 0
r_s is the radius of a sphere volume equals ...
what is volume per conduction electron?
Calculating Sphere Volume with Conductive Electrons
Click For Summary
Discussion Overview
The discussion revolves around calculating the volume associated with conduction electrons within a spherical region, specifically focusing on the concept of volume per conduction electron and the interpretation of density in this context. The scope includes conceptual clarification and technical reasoning related to the definitions of volume and density.
Discussion Character
- Conceptual clarification, Technical explanation, Debate/contested
Main Points Raised
- Some participants inquire about the nature of the volume associated with conduction electrons and how it is calculated.
- One participant suggests that the volume is a three-dimensional region defined by a sphere of radius r_n, containing N conduction electrons.
- Another participant challenges the statement regarding density, questioning what should be divided to obtain a density of conduction electrons.
- A later reply clarifies that density in this context refers to the number of conduction electrons per unit volume, rather than mass, and discusses the concept of population density in a technical sense.
Areas of Agreement / Disagreement
Participants express differing views on the definition and calculation of density in relation to conduction electrons, indicating that the discussion remains unresolved with multiple competing interpretations.
Contextual Notes
There are limitations regarding the assumptions made about the definitions of volume and density, as well as the mathematical steps involved in deriving the density of conduction electrons.
r_s is the radius of a sphere volume equals ...
what is volume per conduction electron?
- #2
nhrock3
- 403
- 0
what is this volume like?
- #3
waht
- 1,502
- 4
nhrock3 said:
Volume is like another other volume, it's a 3D region of space. In this case the region is taken to be sphere of radius r_n. And within that volume you have N number of conduction electrons.
Divide that and you get a density of conduction electrons per volume or vice-versa.
- #4
nhrock3
- 403
- 0
"Divide that and you get a density of conduction electrons per volume or vice-versa."
divide what?and by what?
density is a mass divided by volume
there is no such thing here
divide what?and by what?
density is a mass divided by volume
there is no such thing here
- #5
sophiecentaur
Science Advisor
Homework Helper
- 30,444
- 7,490
Density, in this case, refers to the number (not the mass) per unit volume. It (or the reciprocal) tells you how much room a conduction electron has 'to itself' or the space between conduction electrons.
When we talk of Population Density, we don't mean the Mass, either. It's a fairly common English / Technical use of the term density.
When we talk of Population Density, we don't mean the Mass, either. It's a fairly common English / Technical use of the term density.
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