# How to Convert Diffusion Rate to Hertz?

• amy1vaulhausen
In summary: Frequency is a useful quantity for sound, light, and other types of waves, but it can't be directly used to measure anything else.
amy1vaulhausen
TL;DR Summary
Does anyone know hot to do this ; How to Convert Diffusion Rate to Hertz?
How to Convert Diffusion Rate to Hertz - Hi, new here. Does anyone know if it is possible to convert the molecular diffusion rate

to a frequency in hertz?

I have no idea what you are trying to do. Please be specific.

russ_watters, topsquark, BillTre and 1 other person
amy1vaulhausen said:
How to Convert Diffusion Rate to Hertz - Hi, new here. Does anyone know if it is possible to convert the molecular diffusion rate
Like @hutchphd, I don't understand the question. Sounds like you are trying to convert bananas to bicycles.

topsquark, BillTre and hutchphd
Hertz (Hz) is the same as reciprocal seconds (1/s). I can't think of a diffusion quantity with that dimension. Did a bit of searching, and as I suspected the unit for such a quantity is better described as amount per area times seconds.

For details, see Fick's law: https://en.wikipedia.org/wiki/Fick's_laws_of_diffusion

Bystander
Thanks Mayhem, the reason behind my question is based on the diffusion rate in time.
Formula ; t=x^2/2D
see reference ; https://www.physiologyweb.com/calculators/diffusion_time_calculator.html
Since a solute will take a range of time to diffuse for a spacial unit with known viscosity and related parameters
and since that time range can be computed in seconds, then if light seconds are used as a distance value and we convert the distance to a value in hertz, wouldnt we end up with a means to covert rate to a hertzian frequency? Am just wondering if there is a standard way to approach this? A formula to use?

I like to think of the diffusion rate as a measure of the growth of the blob of diffusing stuff. By some measure the surface area of the blob grows linearly with time. I don't know how any particular frequency is useful.

A cycle of time can be converted to a frequency in hertz. If we know the amount of time in seconds it takes a solute to diffuse in a specific unit of space with know characteristics then there must be a way to convert this time period to a hertzian value or at least a range of frequency values?

amy1vaulhausen said:
A cycle of time can be converted to a frequency in hertz.
Really? It took me 20 secons to read your post. What frequency is that?
amy1vaulhausen said:
If we know the amount of time in seconds it takes a solute to diffuse in a specific unit of space with know characteristics then there must be a way to convert this time period to a hertzian value or at least a range of frequency values?
You're still trying to convert bananas to bicycles. Plus, as @hutchphd said, even if your could square this circle,
hutchphd said:
I don't know how any particular frequency is useful.

phinds said:
Really? It took me 20 seconds to read your post. What frequency is that?
1/20th Hz, of course. I'll rephrase the objection: @amy1vaulhausen you can convert any repeating time period into a frequency by inverting it, but that doesn't make it useful/meaningful. What's the real goal here? What do you think this tells you?

amy1vaulhausen said:
Thanks Mayhem, the reason behind my question is based on the diffusion rate in time.
Formula ; t=x^2/2D
see reference ; https://www.physiologyweb.com/calculators/diffusion_time_calculator.html
Since a solute will take a range of time to diffuse for a spacial unit with known viscosity and related parameters
and since that time range can be computed in seconds, then if light seconds are used as a distance value and we convert the distance to a value in hertz, wouldnt we end up with a means to covert rate to a hertzian frequency? Am just wondering if there is a standard way to approach this? A formula to use?

There is no standard way to approach this because it's not a standard approach at all. It doesn't even make sense to use hertz in this manner as you don't have a repeating process or some cyclic phenomenon. Just because something is a rate doesn't make it cyclic or applicable to use hertz. Acceleration is a rate, as it has units of m/s/s, but you would never use hertz as a unit for acceleration. The same is true for velocity, which has units of m/s. An object moving at 10 m/s does not have a frequency of 10 Hz. It doesn't have a frequency at all.

BillTre and russ_watters
So we have Hertz for periodic processes, Becquerel for radioactive decay, although lifetime can be formulated as imaginary part of frequency.
One of the last realms of physics where the babylonian-anglosaxonian unit mess persists.

## What is the diffusion rate in the context of molecular motion?

The diffusion rate typically refers to the rate at which molecules spread from an area of high concentration to an area of low concentration. This rate can be quantified by the diffusion coefficient, which is a measure of how fast the molecules are diffusing through a medium.

## How is the diffusion rate related to frequency (Hertz)?

The diffusion rate itself is not directly expressed in Hertz (cycles per second). However, if the diffusion process is periodic or oscillatory in nature, the frequency of such oscillations could be expressed in Hertz. For example, in NMR (nuclear magnetic resonance) spectroscopy, the diffusion of molecules can affect the frequency of the magnetic resonance signals.

## What is the formula to convert diffusion rate to a frequency in Hertz?

There is no direct formula to convert diffusion rate to Hertz since they measure different phenomena. However, in specific contexts like NMR, the diffusion coefficient (D) can influence the linewidth of spectral lines, which indirectly relates to frequency. In such cases, the relationship is complex and depends on the experimental setup.

## Can diffusion rate be measured in Hertz in any scenario?

Diffusion rate itself cannot be measured in Hertz as it is usually measured in units like square meters per second (m²/s). However, in systems where diffusion leads to periodic changes, the resulting oscillatory behavior can be measured in Hertz. For instance, in oscillatory chemical reactions, the frequency of oscillations can be measured in Hertz.

## What tools or methods are used to measure diffusion rates and frequencies?

Diffusion rates are commonly measured using techniques such as dynamic light scattering (DLS), pulsed-field gradient NMR, and fluorescence recovery after photobleaching (FRAP). Frequencies, on the other hand, can be measured using spectroscopic methods like NMR, where the resonance frequency is observed, or using oscilloscopes and signal analyzers for periodic signals.

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