{"uid":"cap_tyZxj_fp4oP1NnX5QOtgh","slug":"saylor-innovations-radioactive-decay-calculator-fc130935","name":"Saylor Innovations Radioactive Decay Calculator","description":"Radioactive decay calculator from initial amount, half-life and elapsed time - remaining amount and decay constant","url":"https://saylorinnovations.com/api/radiation/decay?utm_source=zero.xyz","method":"GET","headers":{},"bodySchema":{"type":"object","$schema":"https://json-schema.org/draft/2020-12/schema","required":["input"],"properties":{"input":{"type":"object","required":["type","method"],"properties":{"type":{"type":"string","const":"http"},"method":{"enum":["GET"],"type":"string"},"queryParams":{"type":"object","required":["initial","half_life","elapsed","unit"],"properties":{"unit":{"type":"string","description":"required unit label, 1-24 letters such as seconds, days, or years; use consistently (query)"},"elapsed":{"type":"string","description":"required finite number greater than or equal to 0 (query)"},"initial":{"type":"string","description":"required finite number greater than 0 (query)"},"half_life":{"type":"string","description":"required finite number greater than 0 (query)"}}}},"additionalProperties":false},"output":{"type":"object","required":["type"],"properties":{"type":{"type":"string","const":"json"},"example":{"type":"object","required":["initial_amount","half_life","elapsed","unit","half_lives_elapsed","remaining_amount","decayed_amount","remaining_percent","scope_note"],"properties":{"unit":{"type":"string","description":"Unit of measure"},"elapsed":{"type":"number"},"formula":{"type":"string","description":"Formula used for the calculation"},"half_life":{"type":"number","description":"Half life"},"scope_note":{"type":"string","description":"What this data covers and what it leaves out"},"mean_lifetime":{"type":"number","description":"Mean lifetime"},"decayed_amount":{"type":"number","description":"Decayed amount"},"initial_amount":{"type":"number","description":"Initial amount"},"remaining_amount":{"type":"number","description":"Remaining amount"},"remaining_percent":{"type":"number","description":"Remaining, as a percentage"},"half_lives_elapsed":{"type":"number","description":"Half lives elapsed"},"remaining_fraction":{"type":"number","description":"Remaining fraction"},"decay_constant_per_unit":{"type":"number","description":"Decay constant per unit"}}}}}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.01","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.01/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_tEN2yPNtQZYG8RBy2U1ZU","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.01","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Calculates remaining amount of a radioactive substance after a given elapsed time, given initial amount and half-life, returning decay constant, decayed amount, and related metrics","exampleAgentPrompt":"Calculate how much of a 1000-gram sample of Carbon-14 remains after 5730 years, given its half-life is 5730 years — give me the remaining amount, decayed amount, and decay constant in years.","exampleUseCases":[{"title":"Carbon dating age estimation","prompt":"I have a sample that started with 200 grams of Carbon-14 and its half-life is 5730 years — how much would be left after 11460 years, and what fraction has decayed? Use years as the unit."},{"title":"Medical isotope dosage tracking","prompt":"A patient received 50 milligrams of Iodine-131 which has a half-life of 8 days. How much of it remains in their body after 24 days? Show me the remaining amount and percentage in days."},{"title":"Nuclear waste storage planning","prompt":"We have 10000 kilograms of Cesium-137 with a half-life of 30 years. How much will remain after 300 years, and what's the decay constant per year?"}],"resultDescription":"Returns a JSON object with the initial amount, half-life, elapsed time, unit, number of half-lives elapsed, remaining amount, decayed amount, remaining percentage, remaining fraction, decay constant per unit, mean lifetime, and the mathematical formula used for the calculation, along with a scope note explaining coverage and limitations.","failureModes":["Missing required query parameters (initial, half_life, elapsed, unit) returns an error","Non-numeric or zero/negative values for initial or half_life cause validation failure","Negative elapsed time is rejected","Extremely large or small numbers may cause precision issues","Invalid or overly long unit strings may be rejected","Payment failure returns 402 status requiring x402 protocol payment"],"whenToPreferThis":"Use this endpoint when you need a precise, formula-based radioactive decay calculation with full output including decay constant, mean lifetime, and remaining fraction — especially useful in scientific, educational, nuclear medicine, or environmental modeling contexts where all decay parameters are known and a structured JSON result with the underlying formula is needed.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-17T06:45:10.634Z","isFirstParty":false,"canonicalSlug":"saylor-innovations-radioactive-decay-calculator-fc130935"}