Thermal Velocity - in One Dimension

In One Dimension

If is defined as the root mean square of the velocity in any one dimension (i.e. any single direction), then

.

If is defined as the mean of the magnitude of the velocity in any one dimension (i.e. any single direction), then

.

If is defined as the half-width of the thermal distribution or

if is defined such that a particle with this speed has an energy of, then

.

Read more about this topic:  Thermal Velocity

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