# Hydrogen Atom Wavefunction Calculator AI Agent Connect

> Calculate hydrogen atom wavefunctions, probability densities, and nodal structures.

## Overview
- **Category:** science
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_33N3HRAhuDSrIz7GWZJnD26tuQDFLUrFJrxIPgk0/ai-agent-connect
- **Tags:** quantum-mechanics, hydrogen-atom, wavefunction, schrodinger, physics-engine

## Description

This MCP server provides computational tools for analyzing the electronic structure of the hydrogen atom. It allows AI agents to calculate the exact wavefunction value and probability density at any point in space using `get_wavefunction_value`. Users can determine the likelihood of finding an electron at specific distances via `get_radial_probability`, identify nodal surfaces with `get_nodal_structure`, and retrieve orbital classifications like symmetry and labels through `get_orbital_metadata`.

## Tools

### get_nodal_structure
Identifies the locations of the nodes (where probability is zero) for a given state

### get_orbital_metadata
Provides descriptive information about the orbital shape and classification

### get_radial_probability
Calculates the probability of finding the electron within a spherical shell at a given distance

### get_wavefunction_value
Calculates the value of the wavefunction at a specific point in space

## Prompt Examples

**Prompt:** 
```
What is the probability density for a 1s orbital at a radial distance of 0.5 Bohr radii?
```

**Response:** 
```
The probability density for the 1s orbital at r = 0.5 is approximately 0.154.
```

**Prompt:** 
```
How many nodes does a 3p orbital have?
```

**Response:** 
```
A 3p orbital has 1 radial node and 1 angular node, for a total of 2 nodes.
```

**Prompt:** 
```
Describe the 2s orbital.
```

**Response:** 
```
The 2s orbital is spherically symmetric and has one radial node.
```

## Frequently Asked Questions

**What quantum numbers are required?**
You must provide the principal quantum number (n), the azimuthal quantum number (l), and the magnetic quantum number (m).

**Can I calculate the probability at a specific coordinate?**
Yes, you can use `get_wavefunction_value` by providing the radial distance, theta, and phi angles.

**How are nodes determined?**
The `get_nodal_structure` tool calculates radial and angular nodes based on the provided quantum numbers.