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sci.phonon-mean-free-path Calculator
Calculates the phonon mean free path from thermal conductivity, heat capacity, and phonon group velocity: κ = (1/3)Cv × l. Diamond has κ = 2,200 W/(m·K) at room temperature — the highest thermal conductivity of any bulk material, used in heat spreaders for high-power electronics.
Inputs
Thermal Conductivity W Mk
How easily heat flows through the material (W/m·K). Metals are high; insulation materials are very low.
Heat Capacity J M3 K
Maximum throughput or storage. Operating near 100% capacity typically increases failures and wait times.
Sound Velocity M S
Speed in a specified direction (m/s). Required for momentum, kinetic energy, and wave calculations.
Results
phonon mean free path (m)
Arithmetic average — sum divided by count. Simple and familiar, but pulled by outliers. If your data contains extreme values, the median may be more representative.
phonon mean free path (nm)
Arithmetic average — sum divided by count. Simple and familiar, but pulled by outliers. If your data contains extreme values, the median may be more representative.
κ = Cv·vs·mfp/3
Reference formula or conversion factor shown for context.