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Deal-Grove Silicon Thermal Oxidation Calculator engineering
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Deal-Grove Silicon Thermal Oxidation Calculator

Semiconductor device physics & wafer processing: Model thermal silicon dioxide ($SiO_2$) growth kinetics, linear and parabolic rate regimes, and consumed silicon thickness.

Furnace Oxidation Parameters

Process gas atmosphere
Oxidation tube temperature
Furnace duration
Surface atomic bond density
Starting oxide (native ~1.5 - 2.5 nm)
Atmospheric = 1.0 atm (HIPOX > 10)

Oxide Thickness & Rate Regimes

Grown Oxide Thickness (x_o)
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-
Silicon Substrate Consumed (t_si)
-
0.44 · x_o
Parabolic Rate Constant (B)
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Diffusion-limited regime (µm²/hr)
Linear Rate Constant (B/A)
-
Reaction-limited regime (µm/hr)
Dominant Kinetic Regime
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Linear vs. Parabolic boundary
Color in Reflected Light
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Optical interference tint

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Frequently Asked Questions

Why does wet oxidation grow so much faster than dry oxidation?

The solubility of water vapor (H2O) in silicon dioxide is roughly 1000 times greater than that of molecular oxygen (O2). Even though H2O has a slightly lower diffusion coefficient, its far higher dissolved concentration drives a much larger parabolic rate constant B, growing thick field oxides in a fraction of the time.

Why does growing 100 nm of oxide consume 44 nm of silicon?

Molecular density of silicon is 5.0 × 10²² atoms/cm³, while SiO2 molecular density is 2.2 × 10²² molecules/cm³. By conservation of silicon atoms, growing an oxide film of thickness xo consumes 0.44 xo of underlying silicon substrate.

What causes the vivid interference colors of thermal oxide on silicon?

Because SiO2 is transparent with a refractive index of n ≈ 1.46 on reflective silicon, white light reflected from the air-oxide and oxide-silicon interfaces undergoes constructive and destructive optical interference. Specific wavelengths cancel according to 2 · n · d = (m + 1/2)λ, producing distinct vibrant colors keyed directly to nanometer-level film thickness.