Math & Numbers
Half-Life Activity Decay Calculator (A = A₀·e^(−λt))
Compute remaining radionuclide activity A(t) = A₀·2^(−t/T½) with λ = ln2/T½ in Bq/Ci/dpm units, for Tc-99m, F-18 and other isotopes.
json· JSON resultOpen tool
Quick start
Call this tool from your code in three languages.
cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/half-life-activity-decay' \
-H 'Content-Type: application/json' \
-d '{"initialActivity":800,"activityUnit":"MBq","halfLife":6.01,"halfLifeUnit":"hours","elapsedTime":6,"timeUnit":"hours","decimalPlaces":2}'API reference
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
HTTP
POST https://api.elysiatools.com/en/api/tools/half-life-activity-decayParameters
| Name | Type | Required | Description |
|---|---|---|---|
| initialActivity | number | Yes | Activity at t = 0 in the selected activity unit. Must be non-negative. |
| activityUnit | select | Yes | Unit of the initial (and remaining) activity. |
| halfLife | number | Yes | Physical half-life in the selected time unit. Must be greater than zero. |
| halfLifeUnit | select | Yes | Time unit of the half-life. |
| elapsedTime | number | Yes |
MCP integration
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Server configuration
Add this block to your MCP client configuration:
mcp.json
{
"mcpServers": {
"elysiatools-half-life-activity-decay": {
"name": "half-life-activity-decay",
"description": "Compute remaining radionuclide activity A(t) = A₀·2^(−t/T½) with λ = ln2/T½ in Bq/Ci/dpm units, for Tc-99m, F-18 and other isotopes.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=half-life-activity-decay",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}List available tools
After connecting to the SSE endpoint, list the exposed tools:
tools/list
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Call this tool
Invoke the tool by its id, passing arguments built from its parameters:
tools/call
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "half-life-activity-decay",
"arguments": {
"initialActivity": 800,
"activityUnit": "MBq",
"halfLife": 6.01,
"halfLifeUnit": "hours",
"elapsedTime": 6,
"timeUnit": "hours",
"decimalPlaces": 2
}
}
}Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).
Questions or issues? Contact [email protected]