Skip to main content
CalcPro

Samarium-149 Fission Product Poisoning Equilibrium & Permanent Shutdown Buildup Calculator

Easily calculate and compute samarium-149 fission product poisoning equilibrium & permanent shutdown buildup calculator with accurate equations, live formulas, and expert guidance.

Nominal operating power flux.

Fission cross section.

Time since shutdown (Promethium-149 decays with 53h half-life).

Calculated Result
-1,542 pcm

Samarium Reactivity Worth

Samarium Reactivity Worth

-1,542 pcm

Transient Samarium Worth Pcm

-1542

Equilibrium Samarium Worth Pcm

-1070

Post Shutdown Worth Increase Pcm

-472

Equilibrium Promethium Density Cm3

1.415e+16

-1,542 — pcm

Calculation Breakdown

  1. Applied FormulaCalculates the equilibrium and permanent post-shutdown buildup of stable Samarium-149 neutron poison, generated by beta decay of Promethium-149.\rho_{Sm,eq} = -\gamma_{Pm} = -1070\text{ pcm}, \quad \text{Sm}(t) = \text{Sm}_{eq} + \text{Pm}_{eq}(1 - e^{-\lambda_{Pm} t})

Samarium-149 Poisoning Metric Output

Interactive visualization based on your current inputs

Calculated Value
-1542.0-1156.3-770.5-384.81.0Samarium Reactivity Worth

What Is the Samarium-149 Fission Product Poisoning Equilibrium & Permanent Shutdown Buildup Calculator?

This tool computes samarium-149 fission product poisoning equilibrium & permanent shutdown buildup calculator with high precision arithmetic.

How Does the Samarium-149 Fission Product Poisoning Equilibrium & Permanent Shutdown Buildup Calculator Work?

Calculates the equilibrium and permanent post-shutdown buildup of stable Samarium-149 neutron poison, generated by beta decay of Promethium-149.

Samarium-149 Fission Product Poisoning Equilibrium & Permanent Shutdown Buildup Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

ρSm,eq=−γPm=−1070 pcm,Sm(t)=Smeq+Pmeq(1−e−λPmt)\rho_{Sm,eq} = -\gamma_{Pm} = -1070\text{ pcm}, \quad \text{Sm}(t) = \text{Sm}_{eq} + \text{Pm}_{eq}(1 - e^{-\lambda_{Pm} t})

Calculates the equilibrium and permanent post-shutdown buildup of stable Samarium-149 neutron poison, generated by beta decay of Promethium-149.

How to Use the Samarium-149 Fission Product Poisoning Equilibrium & Permanent Shutdown Buildup Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Samarium-149 Fission Product Poisoning Equilibrium & Permanent Shutdown Buildup Calculator Example

Input Values:

thermalNeutronFluxPhi0:40000000000000
macroFissionCrossSectionCm1:0.12
daysAfterShutdown:12
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required pcm.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

\n

Related Calculators

Explore more tools and calculators in Physics Calculators

Length Converter

Convert length and distance between metric and imperial units including meters, feet, inches, kilometers, miles, and yards with exact SI definitions.

Percentage Calculator

Calculate percentages: what % X is of Y, P% of X, % change, discount price, and percentage points.

Temperature Converter

Convert temperatures between Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R) with step-by-step thermodynamic formulas.

Ohm's Law & Electrical Power Calculator

Calculate Voltage (V), Current (I), Resistance (R), and Electrical Power (P) across DC circuits.

Density, Mass & Volume Calculator

Calculate density (ρ = m/V), material mass, or physical volume for solids, liquids, and gases.

Steam Turbine Surface Condenser Cooling Water Duty Calculator

Calculates surface condenser thermal heat rejection (MWth), circulating cooling water pumping volume (m³/h), and steam condensation rate.