Questions Regarding Energy Generating Fusion

[Denyven]

Hi All,
I was wondering about some equations/formulae related to Fusion. How much energy/what temperature does it take to initiate Fusion? And how is this amount of energy affected by the different element/isotopes used, pressure, magnetic attraction and other variables?

Thanks in advanced.

 

[Astronuc]

Hi All,
I was wondering about some equations/formulae related to Fusion. How much energy/what temperature does it take to initiate Fusion? And how is this amount of energy affected by the different element/isotopes used, pressure, magnetic attraction and other variables?

Thanks in advanced.

You're asking for a basic course in fusion. The temperature required for fusion depends on the atomic numbers of the nuclei used in the process, the lowest temperatures being for hydrogen isotopes.

One also needs to understand the concept of microscopic cross-section, which is dependent of the species reacting.

The reaction rate (RR) is proportional to n₁n₂ or n²/2, where n₁ and n₂ are the ion densities of reacting species 1 and 2 (e.g., d+t), n where there is one ion species (e.g. d+d).

RR = n₁n₂<σv>, where <σv> is more or less the integrated probability of reaction. <σv> is a complicated function of temperature and species.

There is no magnetic attraction involved. Magnetic confinement is used to 'confine' the plasma as well as maintaining pressure on the plasma. Magnetic pressure is proportional to the square of the magetic field strength.

Look at the bottom of this page
https://wiki.engr.illinois.edu/display/npre421/NPRE+421+Plasma+and+Fusion+Science+-+Spring+2009
Particularly Chapter 2.
https://wiki.engr.illinois.edu/download/attachments/19302090/Chapter+02.pdf

 

[dswill]

Is there online a basic course in the math behind cold fusion? Or the equations describing a deuteron impacting a deuteron trapped in a metal lattice?

You're asking for a basic course in fusion.