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246                                      Packaging and Reliability Considerations for MEMS

          Table 8.8  A Summary of the Key Reliability Tests Specified Under the Telcordia Standards GR-63/463 and
          GR-1209/1221 for the Qualification of Devices for Optical Telecommunications
          Test             GR-63/463-CORE Reliability   GR-1209/1221-CORE Reliability Assurance
                           Assurance for Optoelectronic Devices for Branched and Passive Fiber-Optic Devices
          Mechanical       500G for 1 ms, 5 times/axis  500G for 1 ms, 2 times/axis; 200G for
           shock                                        1.33 ms, 2 times/axis
          Nonoperational   20G, 20–2,000 Hz,            20G, 20–2,000 Hz, 4 min/cycle, 4 cycles
           vibration       4 min/cycle, 4 cycles
          Operational      5.0G, 10–100 Hz; 2.4G,       10–55 Hz, 1.52 mm amplitude, 20 min
           vibration       100–200 Hz                   per 3 axes
          Thermal shock    15 cycles, 0° to 100°C       —
           (air-to-air)
          Solderability    +260°C for 10s               —
          Accelerated aging  70°C or 85°C, > 2,000 hours  —
           (operational)
          High-temperature  +85°C, 2,000 hours          +85°C, RH<40% RH, 2,000 hours
           storage
          Low-temperature  –40°C, 2,000 hours           –40°C, 2,000 hours
           storage
          Temperature      –40°C to +70°C, >100 cycles  –40°C to +70°C, >100 cycles; –40°C to
           cycling                                      +70°C, 10% to 80% RH, 42 cycles
          Damp heat        +85°C/85% RH, 1,000 hours    +85°C/85% RH, 500 hours
          Internal moisture  <5,000 ppm water vapor     —
          ESD threshold    ±500-V discharge, each pin set  —
          Fiber pull       1.0 kg, 3 times, 5-s duration  —
          Fiber twist and  —                            0.5-kg load, 100 cycles
           flex tests
          Side pull        —                            0.25 to 0.5 kg-load at 90° angle
          Cable retention  —                            0.5 to 1 kg-load for 1 minute
          Water immersion  —                            43°C, pH 5.5, for 336 hours
          (Source: [27].)



                 advised to seek such professional recourse. The user of MEMS products will often
                 demand that those products are certified under one or many quality standards that
                 are most applicable to the user’s industry. However bureaucratic these standards
                 may on occasion be perceived by the general scientific community, they are of para-
                 mount importance to the MEMS industry as it transitions from prototyping experi-
                 mentation to mature manufacturing.


                 Statistical Methods in Reliability

                 If one defines reliability as the probability that a device will perform its specified
                 functions without failing over an expected operating time within defined operating
                 and environmental conditions, then it becomes clear that statistics play an important
                 role in assessing and predicting the reliability of a product. This section introduces a
                 few key concepts and terms commonly used in the theory of reliability. The reader is
                                         (
                 referred to the books by Bajenescu et al. [28] and Kececioglu [29, 30] for further
                 insight on the methodologies of reliability.
                    Failure is defined as the termination of the ability of a product to meet required
                 specifications or perform a required function. Failures are random events that are
                 statistically independent and can thus be described by standard probability distribu-
                 tion functions that follow the Poisson process. Depending on the underlying physics,
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