# Diffusion Coefficient Calculator AI Agent Connect

> Calculate diffusion coefficients, particle radii, and transport kinetics using the Stokes-Einstein framework.

## Overview
- **Category:** science
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_jNlpV72f2XKsbJ5EQZo91OWUhNaVoH9EP8i6GIb0/ai-agent-connect
- **Tags:** diffusion, stokes-einstein, kinetics, solute, viscosity

## Description

This MCP server provides precision tools for calculating transport kinetics in liquid media. It uses the Stokes-Einstein relation to determine the diffusion coefficient of a solute based on its hydrodynamic radius, the solvent's viscosity, and the absolute temperature. Users can also reverse the calculation to find the solute radius from a known diffusion coefficient or estimate the time required for a particle to travel a specific distance. The server includes concentration corrections for crowded environments and provides access to a catalog of standard solvent properties via `get_solvent_properties`.

## Tools

### calculate_diffusion_coefficient
Calculates the diffusion coefficient (D) for a solute in a specific solvent at a given temperature

### calculate_diffusion_time
Estimates the time required for a solute particle to travel a specific distance

### calculate_radius_from_diffusion
Determines the hydrodynamic radius of a particle when the diffusion coefficient is already known

### get_solvent_properties
Retrieves standard viscosity and density constants for common solvents

## Prompt Examples

**Prompt:** 
```
What is the diffusion coefficient for a particle with a radius of 1e-9 meters in water at 298K?
```

**Response:** 
```
The diffusion coefficient is 4.41e-10 m^2/s.
```

**Prompt:** 
```
How long will it take for a particle with a diffusion coefficient of 5e-10 m^2/s to travel 10 micrometers?
```

**Response:** 
```
It will take approximately 200 seconds for the particle to travel 10 micrometers.
```

**Prompt:** 
```
Find the viscosity of ethanol.
```

**Response:** 
```
The viscosity of ethanol is 0.00107 Pa·s.
```

## Frequently Asked Questions

**How does this tool handle concentrated solutions?**
The tool applies a correction factor to the Stokes-Einstein equation when a `soluteConcentration` is provided, accounting for increased resistance in crowded environments.

**Can I find viscosity values for specific solvents?**
Yes, you can use the `get_solvent_properties` tool to retrieve standard viscosity and density constants for common laboratory solvents.

**What units are used for the diffusion coefficient?**
The diffusion coefficient is returned in square meters per second (m^2/s).