Age or Stabilize the Device

# Age or Stabilize the Device: Compressing Years Into Hours on Purpose

Step twenty-eight's leakage-drift curve and step thirty-four's enclosure comparison both described failure mechanisms that unfold over years of field service — too slow to observe during manufacturing, and too slow to wait for before shipping a product. This step closes that gap deliberately: running the sealed device at elevated temperature and bias for a controlled conditioning period accelerates the same thermally-activated mechanisms — mobile ion drift, marginal bond degradation, any latent defect sensitive to temperature — compressing years of equivalent field exposure into hours of controlled aging. A device that would have failed slowly in a customer's hands after two years is pushed to fail now instead, while it's still cheap to discard rather than already shipped.

## 1. Elevated Temperature Accelerates the Same Mechanisms by a Predictable Factor

$$AF = \exp\!\left[\frac{E_a}{k}\left(\frac{1}{T_{\text{use}}} - \frac{1}{T_{\text{burn-in}}}\right)\right]$$

The acceleration factor relating burn-in time to equivalent field time depends on the activation energy $E_a$ governing whatever degradation mechanism is being screened — the same exponential, Arrhenius-type temperature dependence this process has relied on throughout, from diffusion coefficients in the thermal-budget calculations to the ion-mobility relationship behind step twenty-eight's drift concern. Running aging at a higher temperature than normal operation doesn't introduce a new failure mode; it makes an already-present, temperature-sensitive weakness progress faster, so that a short, affordable test window at elevated temperature can stand in for years of real field exposure at normal operating temperature.

## 2. Real Diagram: Screening the Infant-Mortality Population Before Shipment

Aging Compresses Field-Equivalent Time Into a Short Window weak devices fail here, cheaply, instead of in the field normal operation: years of exposure to reach the same stress state slow, thermally-activated drift burn-in: hours elevated T_burn-in, same mechanism, faster AF compresses the top timeline into the bottom one a device that survives burn-in has already passed the stress a weak device would have failed under, early

## 3. The Classic Bathtub Curve: Screening Out Infant Mortality Before It Ships

$$\lambda(t) = \lambda_{\text{early}}(t) + \lambda_{\text{random}} + \lambda_{\text{wearout}}(t)$$

Failure rate over a device population's lifetime typically follows three regimes: a declining early-failure rate dominated by latent manufacturing defects, a flat random-failure rate during normal useful life, and a rising wear-out rate much later. Aging exists specifically to push a shipped population past the first regime before it ever reaches a customer — devices with marginal bonds, residual contamination, or any other defect this process's earlier steps might have let through fail during the accelerated early-failure period, while the surviving population ships having already demonstrated it sits in the flat, stable part of the curve rather than the declining front edge of it.

The Bathtub Curve — Burn-In Removes the Falling Edge λ(t) = λ_early(t) + λ_random + λ_wearout(t) time in service → failure rate, λ(t) early failures — screened by aging flat random-failure region — ships here step 35 pushes the shipped population past the falling edge before customers ever see it

## Age or Stabilize the Device's Place in the Process Lineage

Aging or stabilizing the device is step thirty-five of the 1951 grown-junction transistor's full manufacturing sequence — immediately after the transistor has been enclosed, and before final electrical tests confirm the finished specification. It is the step that deliberately accelerates every thermally-activated weakness this process's earlier steps might have left behind, compressing years of field-equivalent exposure into a controlled window so the infant-mortality population is screened out before shipment rather than discovered afterward.

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