Minerals Engineering

Mineral Liberation Degree Estimator from SEM-EDS Image Data Calculator

Mineral Liberation Degree Estimator from SEM-EDS Image Data engineering calculator.

Quick Answer

Calculate Mineral Liberation Degree Estimator from SEM-EDS Image Data

Calculator

Mineral liberation degree estimator
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Result Interpretation

Mineral Liberation Degree Estimator from SEM-EDS Image Data Calculator computes Mineral liberation degree estimator in 1 using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Average area per mineral grain = 1.15E-12
  • Effective width of interfacial zone where liberation is ambiguous = 2.4E-8
  • Total area occupied by target mineral phase = 5.2E-11
  • Number of fully liberated mineral grains = 38
  • Total length of mineral-mineral interfacial boundaries indicating locking = 3.2E-6
  • Empirical correction for partial liberation bias = 0.82

Expected Result:

  • Mineral liberation degree estimator = 0.83936807607771

Engineering Interpretation:

Under the given input conditions, the calculated result is: Mineral liberation degree estimator = 0.83936807607771.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

mineral liberation degree estimator = (number of fully liberated mineral grains * average area per mineral grain) / (total area occupied by target mineral phase + empirical correction for partial liberation bias * (total length of mineral-mineral interfacial boundaries indicating locking * effective width of interfacial zone where liberation is ambiguous))

Formula family: formula_minerals_mineral_liberation_degree_estimator_from_sem_eds_image_data

Variables

SymbolLabelRoleDescription
liberated_grain_count Number of fully liberated mineral grains INPUT Number of fully liberated mineral grains
avg_grain_area Average area per mineral grain INPUT Average area per mineral grain
total_mineral_area Total area occupied by target mineral phase INPUT Total area occupied by target mineral phase
locked_interface_length Total length of mineral-mineral interfacial boundaries indicating locking INPUT Total length of mineral-mineral interfacial boundaries indicating locking
interface_width Effective width of interfacial zone where liberation is ambiguous INPUT Effective width of interfacial zone where liberation is ambiguous
liberation_correction_factor Empirical correction for partial liberation bias INPUT Empirical correction for partial liberation bias
mineral_liberation_degree Mineral liberation degree estimator OUTPUT Mineral liberation degree estimator

Calculation Steps

  1. Enter the number of fully liberated mineral grains in 1.
  2. Enter the average area per mineral grain in m^2.
  3. Enter the total area occupied by target mineral phase in m^2.
  4. Enter the total length of mineral-mineral interfacial boundaries indicating locking in m.
  5. Enter the effective width of interfacial zone where liberation is ambiguous in m.
  6. Enter the empirical correction for partial liberation bias in 1.
  7. Step 1: Compute mineral liberation degree estimator.
  8. Read the mineral liberation degree estimator (1) from the results.

Engineering Summary

Calculate Mineral Liberation Degree Estimator from SEM-EDS Image Data

Frequently Asked Questions

What does this calculator calculate?

The Mineral Liberation Degree Estimator from SEM-EDS Image Data Calculator estimates Mineral liberation degree estimator based on the input parameters you provide

Why is average area per mineral grain important in this calculation?

average area per mineral grain is directly proportional to mineral liberation degree estimator. When you enter average area per mineral grain in m^2, the calculator uses it in the engineering formula to compute the output

How should I interpret the result mineral liberation degree estimator?

The calculator outputs mineral liberation degree estimator. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Average area per mineral grain (m^2), Total area occupied by target mineral phase (m^2), Total length of mineral-mineral interfacial boundaries indicating locking (m), Effective width of interfacial zone where liberation is ambiguous (m). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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