Debye Temperature Calculator

Calculate Phonon Properties and Thermal Characteristics

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Calculate Debye temperature from elastic constants and material properties.

Select Material Sound Velocity (m/s) Density (kg/m³) Atomic Mass (g/mol) Lattice Constant (Å)

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Specific Heat Calculator

Calculate specific heat capacity using the Debye model.

Temperature (K) Debye Temperature (K) Number of Atoms

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Calculate thermal conductivity and related properties.

Mean Free Path (nm) Phonon Velocity (m/s) Volumetric Heat Capacity (J/m³·K)

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Key concepts include:

Common uses:

Important considerations:

Key factors:

θ_D = (ℏ/k_B)·(6π²n)^(1/3)·v_s

v_s = (v_l + 2v_t)/3

C_v = 9Nk_B(T/θ_D)³∫(x⁴e^x/(e^x-1)²)dx

x = ℏω/k_BT

κ = (1/3)Cvλv

λ = mean free path