WLF Equation Polymer Shift Factor Calculator

Viscoelastic time-temperature superposition: Compute the Williams-Landel-Ferry horizontal logarithmic shift factor ($\log_{10} a_T$), frequency multiplier, and fractional free volume above $T_g$.

Temperature & Reference State

Test Temperature T (°C):

Reference Temperature T_ref (°C): Typically glass transition T_g or T_0

WLF Material Constants

WLF Parameter Preset:

Constant C₁:

Constant C₂ (K or °C):

Test Frequency for Superposition

Experimental Frequency ω (rad/s or Hz):

Superposition Shift Factor Output

Shift Factor log₁₀(a_T):

horizontal decade shift

Scale Multiplier a_T:

time / rate accelerator

Reduced Freq ω_r:

rad/s at T_ref

ΔT = T - T_ref:

°C difference

Free Volume f:

fractional ratio

Validity Check ($T_g < T < T_g + 100^circ ext{C}$)

WLF Regime Validity: --

Free Volume Thermal Expansion $alpha_f$: --

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