Discrete Laplace operator: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
en>LokiClock
→‎Graph Laplacians: A ring-valued function would assign to each vertex a ring.
Line 1: Line 1:
'''QBD''' is the term applied to the '''charge-to-breakdown''' measurement of a [[semiconductor]] device. It is a standard [[destructive testing|destructive test]] method used to determine the quality of [[gate oxide]]s in [[MOSFET|MOS]] devices. It is equal to the total accumulated [[electric charge|charge]] passing through the [[dielectric]] layer just before failure. Thus QBD is a measure of [[time-dependent gate oxide breakdown]]. As a measure of oxide quality, QBD can also be a useful predictor of product [[Reliability (semiconductor)|reliability]] under specified electrical stress conditions.
Wilber Berryhill is the title his mothers and fathers gave him and he completely digs that title. My working day job is an invoicing officer but I've already applied for an additional 1. One of the things she loves most is canoeing and she's been performing it for quite a while. Alaska is the only location I've been residing in but now I'm considering other choices.<br><br>My website :: phone psychic ([http://videos.ghanafilla.net/profile.php?u=StBevins Link Website videos.ghanafilla.net])
== Test method ==
 
[[Voltage]] is applied to the MOS structure to force a [[current source|controlled current]] through the oxide, i.e. to inject a controlled amount of charge into the dielectric layer. By measuring the time after which the measured voltage drops towards zero (when [[electrical breakdown]] occurs) and integrating the injected current over time, the charge needed to break the gate oxide is determined.
 
This gate charge [[integral]] is defined as:
 
<math>Q_{bd}=\int_{0}^{t_{bd}} i(t)\, dt</math>
 
where <math>t_{bd}</math> is the measurement time at the step just prior to destructive [[avalanche breakdown]].
 
=== Variants ===
 
There are five common variants of the QBD test method:
 
# Linear voltage ramp (V-ramp test procedure)
# [[Constant current]] stress (CCS)
# Exponential current ramp (ECR) or (J-ramp test procedure)<ref>Dumin, Nels A., ''Transformation of Charge-to-Breakdown Obtained from Ramped Current Stresses Into Charge-to-Breakdown and Time-to-Breakdown Domains for Constant Current Stress'', [http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=00660307]</ref>
# Bounded J-ramp (a variant of the J-ramp procedure, in which the current ramp stops at a defined stress level, and continues as a constant current stress).
# Linear current ramp (LCR)
 
For the V-ramp test procedure, the [[ammeter|measured current]] is integrated to obtain QBD. The measured current is also used as a detection criterion for terminating the voltage ramp. One of the defined criteria is the change of logarithmic current slope between successive voltage steps.
 
=== Analysis ===
 
The [[cumulative distribution function|cumulative distribution]] of measured QBD is commonly analysed using a [[Weibull chart]].
 
== Standards ==
=== JEDEC Standard ===
* JESD35-A &ndash; Procedure for the Wafer-Level Testing of Thin Dielectrics, April 2001
 
== References ==
 
{{reflist}}
 
== See also ==
 
* [[Capacitor#Breakdown_voltage|Capacitor - breakdown section]]
* [[Field electron emission]]
 
{{DEFAULTSORT:Qbd (Electronics)}}
[[Category:Semiconductor device defects]]
 
 
{{Electronics-stub}}

Revision as of 13:03, 26 February 2014

Wilber Berryhill is the title his mothers and fathers gave him and he completely digs that title. My working day job is an invoicing officer but I've already applied for an additional 1. One of the things she loves most is canoeing and she's been performing it for quite a while. Alaska is the only location I've been residing in but now I'm considering other choices.

My website :: phone psychic (Link Website videos.ghanafilla.net)