MCP For Claude Marketplace
Maxwell-Boltzmann Distribution

Maxwell-Boltzmann Distribution MCP Connector for Claude

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Calculate gas particle speed distributions and statistical characteristics.

4 tools Official Updated Oct 1, 2026 Official Vinkius Partner
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This MCP server provides tools to calculate the Maxwell-Boltzmann speed distribution for ideal gases. It allows AI agents to determine characteristic speeds such as most probable, average, and root-mean-square speeds based on temperature and molecular mass. Users can also generate probability density values for specific speeds or retrieve data points for plotting the full distribution curve using get_distribution_curve and get_speed_statistics.

physicsgas-lawsstatisticsthermodynamicsmolecular-dynamics

4 tools expose this connector's capabilities to your AI agent.

get_distribution_curve

Generate data points for the speed distribution curve

get_distribution_summary

Provide a textual summary of the distribution characteristics

get_probability_density

Calculate the probability density for a specific speed

get_speed_statistics

Retrieve the primary characteristic speeds of a gas

See how to talk to your AI agent using Maxwell-Boltzmann Distribution.

What are the characteristic speeds for Helium at 300K?

For Helium at 300K, the most probable speed is approximately 1260 m/s, the average speed is 1560 m/s, and the rms speed is 1715 m/s.

Calculate the probability density for a speed of 500 m/s for a gas with mass 0.028 kg/mol at 273K.

The probability density for a speed of 500 m/s under these conditions is 0.00045.

Summarize how temperature affects the distribution for a gas with mass 0.044 kg/mol.

Increasing the temperature increases the spread factor and shifts the peak speed to a higher value.

You must provide the absolute temperature in Kelvin and the molecular mass of the gas in kilograms.

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